GRAEME FAIRWEATHER
May 29, 2015
MAILING ADDRESS
Mathematical Reviews, American Mathematical Society, 416 Fourth Street, Ann Arbor,
MI 48103, U.S.A.
Telephone: 303-949-1987; e-mail: gxf@ams.org
EDUCATION
1960-1963
B.Sc. (First Class Honours) Applied Mathematics, University of St. Andrews, Scotland.
1963-1965
Ph.D. Applied Mathematics, University of St. Andrews, Scotland.
PROFESSIONAL EMPLOYMENT
Regular Appointments
June 2014-present. Executive Editor Emeritus, Mathematical Reviews, American Mathematical
Society, Ann Arbor, Michigan.
2008-June 2014. Executive Editor, Mathematical Reviews, American Mathematical Society, Ann
Arbor, Michigan.
2008-present. Professor Emeritus, Department of Mathematical and Computer Sciences, Colorado
School of Mines, Golden, Colorado.
1994-2008. Professor and Head, Department of Mathematical and Computer Sciences, Colorado
School of Mines, Golden, Colorado.
1990-1994. Associate Director, Center for Computational Sciences, University of Kentucky, Lex-
ington, Kentucky.
1986-1987. Acting Director, Center for Computational Sciences, University of Kentucky, Lexing-
ton, Kentucky.
1982-1994. Professor of Mathematics and Engineering Mechanics, University of Kentucky, Lex-
ington, Kentucky.
1971-1981. Associate Professor of Mathematics, University of Kentucky, Lexington, Kentucky.
1969-1971. Assistant Professor of Mathematics, Rice University, Houston, Texas.
1965-1969. Lecturer in Applied Mathematics, University of St. Andrews, St. Andrews, Scotland.
Visiting Appointments
November–December 2005, Visiting Professor, Department of Mathematics, Chiang Mai Univer-
sity, Chiang Mai, Thailand.
May 2005. Visiting Professor, Departamento de Matem´
atica Aplicada, University of Valladolid,
Valladolid, Spain.
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March 2004. Visiting Professor, Department of Mathematics and Statistics, University of Cyprus,
Nicosia, Cyprus.
November 2001, March 2002. Visiting Scientist, Fields Institute for Research in Mathematical
Sciences, Toronto, Canada.
October 1992. Visiting Professor, Nankai Institute of Mathematics, Nankai University, Tianjin,
P. R. China, and the Chinese Academy of Sciences, Beijing, P. R. China.
Summer 1989. Visiting Professor, School of Mathematics, The University of New South Wales,
Sydney, Australia.
Fall 1988. Fulbright Research Fellow, Departamento de Matem´
atica Aplicada y Computacion,
University of Valladolid, Valladolid, Spain.
Spring 1987. Visiting Professor, School for Advanced Studies in Industrial and Applied Mathe-
matics (SASIAM), Tecnopolis Novus Ortus, Valenzano (Bari), Italy.
1980-1981. Visiting Associate Professor of Computer Science, University of Toronto, Toronto,
Canada.
1978-1979. Consultant, Amoco Production Company, Tulsa, Oklahoma.
1977-1978. Visiting Professor of Mathematics, University of Tulsa, Tulsa, Oklahoma.
Summer 1976. Visiting Scientist, National Research Institute for Mathematical Sciences, South
African Council for Scientific and Industrial Research, Pretoria, South Africa.
Summer 1971. Visiting Senior Research Officer, National Research Institute for Mathematical
Sciences, South African Council for Scientific and Industrial Research, Pretoria, South Africa.
1970-1971. Consultant, National Soil Services, Houston, Texas.
Summer 1968. Vacation Associate, United Kingdom Atomic Energy Authority, Culham Research
Laboratory, Abingdon, England.
1966-1967. Visiting Lecturer, Department of Mathematics, Rice University, Houston, Texas.
THESES DIRECTED
J. P. Johnson, Extrapolated Galerkin methods for parabolic equations, Rice University, Houston,
Texas, 1971, Ph.D.
A. V. Saylor, Extrapolation, deferred correction and defect correction of discrete-time Galerkin
methods for linear parabolic problems, University of Kentucky, 1979, Ph.D.
C. E. Greenwell, Finite element methods for partial integro-differential equations, University of
Kentucky, 1982, Ph.D.
K. R. Bennett, Parallel collocation methods for boundary value problems, University of Kentucky,
1991, Ph.D.
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R. I. Fernandes, Alternating direction implicit finite element methods for solving time dependent
problems, University of Kentucky, 1991, Ph.D.
M. P. Robinson, Numerical solution of Schr¨
odinger equations using finite element methods, Uni-
versity of Kentucky, 1991, Ph.D.
D. S. Dillery, High order orthogonal spline collocation schemes for elliptic and parabolic problems,
University of Kentucky, 1994, Ph.D., (co-adviser with B. Bialecki).
Z.-M. Lou, Orthogonal spline collocation for biharmonic problems, University of Kentucky, 1996,
Ph.D., (co-adviser with B. Bialecki).
Bingkun Li, Discrete-time orthogonal spline collocation methods for Schr¨
odinger-type problems,
University of Kentucky, 1998, Ph.D., (co-adviser with B. Bialecki).
Morrakot Khebchareon, Finite element methods for solving Schr¨
odinger-type problems, Colorado
School of Mines, 2003, Ph.D.
Q. N. Nguyen, Matrix decomposition algorithms for modified quadratic spline collocation for Helmholtz
problems, Colorado School of Mines, 2005, M.S.
J. Maack, Quadratic spline collocation for Poisson’s and biharmonic equations in the unit square,
Colorado School of Mines, 2009, M.S.
HONOURS/AWARDS
1963. Miller Prize, University of St. Andrews, Scotland. (Awarded to the best final-year under-
graduate in the Faculty of Science.)
1963-1965. Carnegie Scholarship, Carnegie Trust for the Universities of Scotland.
1966-1967. Fulbright Travelling Scholarship.
Fall 1988. Fulbright Senior Fellow, Commission for Educational Exchange Between the United
States of America and Spain.
October 2012–September 2016, Distinguished Guest Professor, Department of Mathematics, IIT
Bombay, Mumbai, India.
IIT Bombay Research Paper Award for the year 2010:
• A. Pani and G. Fairweather, H1–Galerkin mixed finite element methods for parabolic
partial integro–differential equations, IMA J. Numer.Anal., 22(2002), 231–252.
The First International Conference on the Method of Fundamental Solutions, Ayia Napa, Cyprus,
11-13 June, 2007. Dedicated to Graeme Fairweather in honor of his 65th birthday.
Advances in Applied Mathematics and Mechanics, Vol 8, No 4. A special issue consisting of invited
and contributed papers presented in a Special Session of the 8th International Conference on
Scientific Computing and Applications, University of Nevada Las Vegas, April 1–4, 2012, in
honor of the 70th birthday of Graeme Fairweather.
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Research Grants
1969-1970. National Science Foundation, Grant GP 23400, Research in Partial Differential Equa-
tions, Numerical Analysis and Functional Analysis. Faculty Associate.
1973-1975. National Science Foundation, Grant GP 36561, Galerkin Methods for the Numerical
Solution of Partial Differential Equations. Principal Investigator.
1976-1977. National Science Foundation, Grant MCS 7508331, Galerkin Methods for the Numer-
ical Solution of Partial Differential Equations. Principal Investigator. $7,100.
1976-1978. Air Force Office of Scientific Research, Grant 2824, Thermomechanical Stress Analysis
of Advanced Turbine Blade Cooling Configuration. Research Associate.
1980-1981. National Science Foundation, Grant MCS 8002804, Boundary Methods for Elliptic
Boundary Value Problems. Principal Investigator. $11,241.
1981-1983. National Science Foundation, Grant MCS 8102295, Boundary Methods for Elliptic
Boundary Value Problems. Principal Investigator. $62,912.
1983-1986. National Science Foundation, Grant MCS 8303287, Boundary Methods for Elliptic
Boundary Value Problems. Principal Investigator.
1986. National Science Foundation, Grant DMS-8604063, An Expanded Research Computing Sys-
tem for the Mathematical Sciences. Co-Principal Investigator. $30,000.
1986-1991. National Science Foundation, Kentucky EPSCoR - A Program to Build Basic Sciences
and Engineering Research in Kentucky, Component Project 5: Collaborative Research in the
Computational Sciences. Co-Principal Investigator, (Principal Investigator 1986-1987, 1990-
1991), $630,518.
1988. National Science Foundation, Grant DMS-8714745, Mathematical Sciences: NSF-CBMS
Regional Conference on Mathematical Foundations of the Boundary Element Method; May
9-13, 1988, Lexington, Kentucky. Principal Investigator. $21,100.
1989-1992. National Science Foundation, Grant ASC-8811171, Modeling of Chemical Reactive
Flows in a Chemical Vapor Deposition Reactor with Complex Geometry. Co-Principal Inves-
tigator. $117,690.
1991-1994. National Science Foundation, Grant CCR-9103451, Implementation of Matrix Decom-
position for Solving Linear Systems Arising in Orthogonal Spline Collocation for Separable
Elliptic Boundary Value Problems. Co-Principal Investigator. $90,614.
1992-1993. National Science Foundation, Grant DMS-9206014. Enhancing High Performance
Computing at the University of Kentucky. Co-Principal Investigator. $93,975.
1992-1995. National Science Foundation, Grant EHR-9108764, Kentucky EPSCoR Advanced De-
velopment Program. Co-Principal Investigator. $790,603.
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1992-1993. NATO Collaborative Research Grant CRG 920281, Parallel Method of Lines Algo-
rithms for the Numerical Solution of Partial Differential Equations. Co-Principal Investiga-
tor. BF 107,000.00.
1993-1995. National Science Foundation, Grant ASC-9310315, CISE Postdoctoral Research Asso-
ciateship in Computational Science and Engineering. Co-Principal Investigator. $44,200.
1994-1995. National Science Foundation, Grant DMS-9402448, Workshop on the Method of Lines
for Time-Dependent Problems. Co-Principal Investigator. $10,000.
1994-1995. Institute for Mathematics and Its Applications, University of Minnesota, Workshop
on the Method of Lines for Time-Dependent Problems. Principal Investigator. $3,000.
1994-1998. Army Research Office Grant DAAH04-94-G-0344, Alternating Direction Implicit Or-
thogonal Spline Collocation Methods for Solving Initial/Boundary Value Problems. Co-Principal
Investigator. $329,061.
1994-1998.
National Science Foundation, Grant CCR-9403461, Orthogonal Spline Collocation
Methods for Partial Differential Equations. Co-Principal Investigator. $180,000.
1995-1996. National Science Foundation, Grant DMS-9506603, Scientific Computing Research
Environment in the Mathematical Sciences. Co-Principal Investigator. $50,000.
1997. National Science Foundation, Grant DMS-9633686, Mathematical Sciences: NSF-CBMS Re-
gional Conference on Numerical Analysis of Hamiltonian Differential Equations, June 1997,
Golden, Colorado. Co-Principal Investigator. $24,089.
1998-2002. National Science Foundation, Grant DMS-9805827, Collocation Methods for Partial
Differential Equations. Co-Principal Investigator. $170,000.
2001-2002. National Science Foundation, Grant DMS-0121301, Mathematical Sciences: NSF-
CBMS Regional Conference on Numerical Methods in Forward and Inverse Electromagnetic
Scattering, June 2002, Golden, Colorado. Co-Principal Investigator. $27,499.
2000-2004. National Science Foundation, Grant DMS-9912293, REU: Research in the Depart-
ment of Mathematical and Computer Sciences at the Colorado School of Mines. Principal
Investigator. $129,798.
2002. National Science Foundation, Grant DMS-0206884, REU: Research in the Department of
Mathematical and Computer Sciences at the Colorado School of Mines. Supplement. Princi-
pal Investigator. $6,336.
2001-2004. Colorado Institute of Technology, Online Computer Science Program by University of
Colorado at Denver and Colorado School of Mines. Co-Principal Investigator. $300,000.
2002-2004. National Science Foundation, Grant DMS-0215491, Scientific Computing Research
Environments for the Mathematical Sciences. Principal Investigator. $25,000.
2004. Colorado Commission on Higher Education, Colorado Christian University and Colorado
School of Mines and Selected Denver-Metro School Districts Partnership to Prepare Highly
Qualified Mathematics Teachers for Grades 7–12. Co-Principal Investigator. $50,000.
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2005. Colorado Commission on Higher Education, Colorado Christian University and Colorado
School of Mines and Selected Denver-Metro School Districts Partnership to Prepare Highly
Qualified Mathematics Teachers for Grades 7–12. Co-Principal Investigator. $35,000.
2005. Colorado Institute of Technology, A Cluster of High Performance 64-bit Computers. Prin-
cipal Investigator. $205,961.
2005-2009. National Science Foundation, Grant DMS-0453600, United States-Hong Kong Research
Experience for Undergraduates in Numerical Analysis and Scientific Computing. Principal
Investigator. $301,879.
2006-2011. National Science Foundation, Grant DUE-063088, National Science Foundation Schol-
arship Program: Retaining Students in Mathematics, Computer Science and Engineering.
Co-Principal Investigator. $460,000.
2006. Mathematical Association of America Tensor Foundation, Tech Camp 101. Co-Principal
Investigator. $5000.
2007-2012. National Science Foundation, Grant DGE-0638719, GK-12 Learning Partnerships:
Creating Problem Centered, Interdisciplinary Learning Environments. Co-Principal Investi-
gator. $1,780,711.
2007-2011. National Science Foundation, Grant CNS-0739233, BPC-DP: Broadening Female Par-
ticipation in Computing: Middle School through Undergraduate Study. Co-Principal Investi-
gator. $579,557.
2008–2013. Bechtel Foundation, The Bechtel K-5 Educational Excellence Initiative at the Colorado
School of Mines. Co-Principal Investigator. $2,500,000.
PUBLICATIONS
Book and Book Contributions
1. G. Fairweather, Finite Element Galerkin Methods for Differential Equations, Lecture Notes
in Pure and Applied Mathematics, Volume 34, Marcel Dekker, New York, 1978, 280 pages.
2. D. F. Griffiths, G. A. Watson, J. D. Lambert and G. Fairweather, A. R. Mitchell: Some
Biographical and Mathematical Notes, in Numerical Analysis A. R. Mitchell 75th Birthday
Volume, D. F. Griffiths and G. A. Watson, editors, World Scientific, London, 1996, pp. 1–8.
3. G. Fairweather, Preface, Interactive Mathematics Program Year 3, Key Curriculum Press,
Berkeley, California, 1999.
4. G. Fairweather and M. Khebchareon, Numerical methods for Schr¨
odinger-type problems, in
Trends in Industrial and Applied Mathematics, A. H. Siddiqi and M. Kocvara, editors, Kluwer
Academic Publishers, Boston, 2002, pp. 219–250.
5. B. Moskal, S. Strong and G. Fairweather, Assessing core courses in mathematics: effects
of multi-section coordination, in Assessment of Student Learning in College Mathematics:
Towards Improved Programs and Courses, B. L. Madison, editor, Association for Institutional
Research, Tallahassee, Florida, 2006, pp. 131–143.
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Edited Conference Proceedings
1. P. Keast and G. Fairweather (editors), Numerical Integration: Recent Developments, Software
and Applications, Proceedings of the NATO Advanced Research Workshop, Dalhousie Uni-
versity, Halifax, Nova Scotia, August 11-15, 1986, D. Reidel Publishing Company, Dordrecht,
The Netherlands, 1987, 394 pages.
2. G. Fairweather and I. Gladwell (editors), Proceedings of the Workshop on the Method of Lines
for Time Dependent Problems, University of Kentucky, 1995, Appl. Numer. Math., 20(1-2),
1996, 244 pages.
3. G. Fairweather, I. Gladwell, B. Leimkuhler and E. S. Van Vleck (editors), Proceedings of the
NSF/CBMS Regional Workshop on Hamiltonian Differential Equations, Colorado School of
Mines, 1997, Appl. Numer. Math., 29, 1999, 165 pages.
Refereed Journal Articles
1. A. R. Mitchell and G. Fairweather, Improved forms of the alternating direction methods of
Douglas, Peaceman and Rachford for solving parabolic and elliptic equations, Numer. Math.,
6(1964), 285–292.
2. G. Fairweather and A. R. Mitchell, A generalized alternating direction method of Douglas–
Rachford type for solving the biharmonic equation, Comput. J., 7(1964), 242–245.
3. G. Fairweather and A. R. Mitchell, A new alternating direction method for parabolic equations
in three space variables, J. Soc. Indust. Appl. Math., 13(1965), 957–965.
4. G. Fairweather and A. R. Mitchell, A high accuracy alternating direction method for the wave
equation, J. Inst. Math. Appl., 1(1965), 309–316.
5. G. Fairweather and A. R. Mitchell, Some computational results of an improved ADI method
for the Dirichlet problem, Comput. J., 9(1966), 298–303.
6. G. Fairweather and A. R. Gourlay, Some stable difference approximations to a fourth order
parabolic differential equation, Math. Comp., 10(1967), 1–11.
7. G. Fairweather, A. R. Gourlay and A. R. Mitchell, Some high accuracy difference schemes
with a splitting operator for equations of parabolic and elliptic type, Numer. Math., 10(1967),
56–66.
8. G. Fairweather and A. R. Mitchell, A new computational procedure for A.D.I. methods, SIAM
J. Numer. Anal., 4(1967), 163–170.
9. G. Fairweather, A note on a generalization of a method of Douglas, Math. Comp., 23(1969),
407–409.
10. G. Fairweather, Algorithm 351: Modified Romberg Quadrature, Comm. ACM, 12(1969), 324–
325.
11. G. Fairweather, On the eigenvalues and eigenvectors of a class of Hessenberg matrices, SIAM
Rev., 13(1971), 220–221.
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12. G. Fairweather A survey of discrete Galerkin methods for parabolic equations in one space
variable, Math. Colloq. Univ. Cape Town, 7(1971–1972), 43–77.
13. G. Fairweather, Galerkin methods for vibration problems in two space variables, SIAM J.
Numer. Anal., 9(1972), 702–714.
14. T. Dupont, G. Fairweather and J. P. Johnson, Three-level Galerkin methods for parabolic
equations, SIAM. J. Numer. Anal., 11(1974), 392–410.
15. J. E. Dendy and G. Fairweather, Alternating direction Galerkin methods for parabolic and
hyperbolic problems on rectangular polygons, SIAM J. Numer. Anal., 12(1975), 144–163.
16. G. Fairweather and J. P. Johnson, On the extrapolation of Galerkin methods for parabolic
problems, Numer. Math., 23(1975), 269–287.
17. G. Fairweather, A note on the efficient implementation of certain Pad´
e methods for linear
parabolic problems, BIT, 18(1978), 106–109.
18. G. Fairweather and P. Keast, An investigation of Romberg quadrature, ACM Trans. Math.
Software, 4(1978), 316–322.
19. G. Fairweather, F. J. Rizzo, D. J. Shippy and Y. S. Wu, On the numerical solution of two-
dimensional potential problems by an improved boundary integral equation method, J. Comput.
Phys., 31(1979), 96–112.
20. G. Fairweather, On the approximate solution of a diffusion problem by Galerkin methods, J.
Inst. Math. Appl., 24(1979), 121–137.
21. G. Fairweather and I. M. Navon, A linear ADI method for the shallow water equations, J.
Comput. Phys., 36(1980), 1–18.
22. M. Davis, G. Fairweather and J. Yamanis, Annular bed reactor – methanation of carbon
dioxide, Can. J. Chem. Eng., 59(1981), 497–500.
23. M. Davis and G. Fairweather, On the use of spline collocation for boundary value problems
arising in chemical engineering, Comput. Methods Appl. Mech. Engrg., 18(1981), 179–189.
24. M. Davis, G. Fairweather and J. Yamanis, Analysis of SO2 oxidation in non–isothermal
catalyst pellets using the dusty–gas model, Chem. Eng. Sci., 37(1982), 447–452.
25. P. Keast, G. Fairweather and J. C. Diaz, A computational study of finite element methods for
second order two–point boundary value problems, Math. Comp., 40(1983), 499–518.
26. K. S. Denison, C. E. Hamrin, Jr., and G. Fairweather, Solution of boundary value problems
using software packages: DD04AD and COLSYS, Chem. Eng. Commun., 22(1983), 1–9.
27. P. H. Muir, G. Fairweather and M. Vedha–Nayagam, The effect of Prandtl number on heat
transfer from a rotating disk with blowing at the wall, Int. Comm. Heat Mass Transfer,
10(1983), 287–297.
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28. J. C. Diaz, G. Fairweather and P. Keast Fortran packages for solving certain almost block
diagonal systems by modified alternate row and column elimination, ACM Trans.
Math.
Software, 9(1983), 358–375.
29. J. C. Diaz, G. Fairweather and P. Keast, Algorithm 603 COLROW and ARCECO: Packages
for solving certain almost block diagonal linear systems by modified alternate row and column
elimination, ACM Trans. Math. Software, 9(1983), 376–380.
30. G. Fairweather and A. V. Saylor, On the application of extrapolation, deferred correction and
defect correction to discrete–time Galerkin methods for parabolic problems, IMA J. Numer.
Anal., 3(1983), 173–192.
31. G. Fairweather, M. E. Davis and J. Yamanis, The non–iterative solution of nonlinear parabolic
and mixed–type problems arising in reactor design, Chem. Eng. Commun., 23(1983), 89–99.
32. G. Fairweather, P. Keast and J. C. Diaz, On the H−1–Galerkin method for second–order linear
two–point boundary value problems, SIAM J. Numer. Anal., 21(1984), 314–326.
33. G. Fairweather, A note on the condition of a matrix, Int. Comm. Heat Mass Transfer,
11(1984), 191–195.
34. R. L. Johnston and G. Fairweather, The method of fundamental solutions for problems in
fluid flow, Appl. Math. Modeling, 8(1984), 265–270.
35. W. L. Seward, G. Fairweather and R. L. Johnston, A survey of higher order methods for
the numerical integration of semidiscrete parabolic problems, IMA J. Numer. Anal., 4(1984),
375–425.
36. C. P. Kelkar, C. E. Hamrin, Jr., and G. Fairweather, Letter to the Editor, A.I.Ch.E.J.,
31(1985), 351–352.
37. D. Bhattacharyya, M. Jevtitch, J. T. Schrodt and G. Fairweather, Prediction of mem-
brane separation characteristics by pore distribution measurements and surface force–pore
flow model, Chem. Eng. Commun., 42(1986), 111–128.
38. C. E. Greenwell–Yanik and G. Fairweather, Analyses of spline collocation methods for parabolic
and hyperbolic problems in two space variables, SIAM J. Numer. Anal., 23(1986), 282–296.
39. G. Fairweather and A. V. Saylor, On the asymptotic expansion of the discretization error of
certain discrete–time Galerkin methods for parabolic problems, Numer. Funct. Anal. Optim.,
8(1985–86), 447–471.
40. A. Akyurtlu, J. F. Akyurtlu, C. E. Hamrin, Jr., and G. Fairweather, Reformulation and the
numerical solution of the equations for a catalytic, porous wall, gas–liquid reactor, Computers
Chem. Eng., 10(1986), 361–365.
41. A. Karageorghis and G. Fairweather, The method of fundamental solutions for the numerical
solution of the biharmonic equation, J. Comput. Phys., 69(1987), 434–459.
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42. G. Fairweather and M. Vedha–Nayagam, An assessment of numerical software for solv-
ing two–point boundary value problems arising in heat transfer, Numerical Heat Transfer,
11(1987), 281–293.
43. M. Vedha–Nayagam, P. Jain and G. Fairweather, The effect of surface mass transfer on
buoyancy-induced flow in a variable-porosity medium adjacent to a horizontal heated plate,
Int. Comm. Heat Mass Transfer, 14(1987), 495–506.
44. P. S. Kasibhatla, L. K. Peters and G. Fairweather, Numerical simulation of transport from
an infinite line source: error analysis, Atmos. Environ., 22(1988), 75–82.
45. A. Karageorghis and G. Fairweather, The Almansi method of fundamental solutions for solving
biharmonic problems, Internat. J. Numer. Methods Engrg., 26(1988), 1665–1682.
46. E. G. Yanik and G. Fairweather, Finite element methods for parabolic and hyperbolic partial
integro–differential equations, Nonlinear Anal., 12(1988), 785–809.
47. A. Karageorghis and G. Fairweather, The method of fundamental solutions for the solution
of non–linear plane potential problems, IMA J. Numer. Anal., 9(1989), 231–242.
48. G. Fairweather and D. Meade, A survey of spline collocation methods for the numerical so-
lution of differential equations, Mathematics for Large Scale Computing, J. C. Diaz, ed.,
Lecture Notes in Pure and Applied Mathematics, Volume 120, Marcel Dekker, New York,
1989, pp. 297–341.
49. A. Karageorghis and G. Fairweather, The simple layer potential method of fundamental solu-
tions for certain biharmonic problems, Internat. J. Numer. Methods Fluids, 9(1989), 1221–
1234.
50. D. J. Shippy, P. S. Kondapalli and G. Fairweather, Analysis of acoustic scattering in fluids
and solids by the method of fundamental solutions, Mathl. Comput. Modelling, 14(1990),
74–79.
51. W. L. Seward, P. Kasibhatla and G. Fairweather, On the numerical solution of a model air
pollution problem with nonsmooth initial data, Comm. Appl. Numer. Methods, 6(1990),
145–156.
52. G. Fairweather, J. M. Sanz–Serna and I. Christie, A stabilized Galerkin method for a third
order evolutionary problem, Math. Comp., 55(1990), 497–507.
53. G. Fairweather and R. D. Saylor, The reformulation and numerical solution of certain non–
classical initial–boundary value problems, SIAM J. Sci. Statist. Comput., 12(1991), 127–144.
54. R. I. Fernandes and G. Fairweather, An alternating direction Galerkin method for a class of
second order hyperbolic equations in two space variables, SIAM J. Numer. Anal., 18(1991),
1265–1281.
55. G. Fairweather and J. C. Lopez–Marcos, A box method for a nonlinear equation of population
dynamics, IMA J. Numer. Anal., 11(1991), 525–538.
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56. P. Pai, T. H. Tsang and G. Fairweather, On the use of the software package SPRINT in
the study of atmospheric turbulence in a convective boundary layer, Environmental Software,
6(1991), 120–130.
57. B. Bialecki, G. Fairweather and K. R. Bennett, Fast direct solvers for piecewise Hermite
bicubic orthogonal spline collocation equations, SIAM J. Numer. Anal., 29(1992), 156–173.
58. P. S. Kondapalli, D. J. Shippy and G. Fairweather, Analysis of acoustic scattering in fluids and
solids by the method of fundamental solutions, J. Acoust. Soc. Amer., 91(1992), 1844–1854.
59. P. S. Kondapalli, D. J. Shippy and G. Fairweather, The method of fundamental solutions
for transmission and scattering of elastic waves, Comput. Methods Appl. Mech. Engrg.,
96(1992), 255–269.
60. Y. Yan and G. Fairweather, Orthogonal spline collocation methods for some partial integro-
differential equations, SIAM J. Numer. Anal., 29(1992), 755–768.
61. F. Majaess, P. Keast, G. Fairweather and K. R. Bennett, The solution of almost block diagonal
linear systems arising in spline collocation at Gaussian points with monomial basis functions,
ACM Trans. Math. Software, 18(1992), 193–204.
62. F. Majaess, P. Keast, G. Fairweather and K. R. Bennett, Algorithm 704: ABDPACK and
ABBPACK – Fortran programs for the solution of almost block diagonal linear systems arising
in spline collocation at Gaussian points with monomial basis functions, ACM Trans. Math.
Software, 18(1992), 205–210.
63. K. R. Bennett and G. Fairweather, A parallel boundary–value ODE code for shared–memory
machines, Internat. J. High Speed Computing, 4(1992), 71–86.
64. M. P. Robinson, G. Fairweather and B. M. Herbst, On the numerical solution of the cubic
Schr¨
odinger equation in one space variable, J. Comput. Phys., 103(1993), 277–284.
65. R. I. Fernandes and G. Fairweather, Analysis of alternating direction collocation methods for
parabolic and hyperbolic problems in two space variables, Numer. Methods Partial Differential
Equations, 9(1993), 191–211.
66. B. Bialecki and G. Fairweather, Matrix decomposition algorithms for separable elliptic bound-
ary value problems in two space dimensions, J. Comput. Appl. Math., 46(1993), 369–386.
67. I. H. Sloan, Dat Tran and G. Fairweather, A fourth–order cubic spline method for linear
second–order two–point boundary value problems, IMA J. Numer. Anal., 13(1993), 591–607.
68. M. P. Robinson and G. Fairweather, Orthogonal cubic spline collocation solution of underwater
acoustic wave propagation problems, J. Comput. Acoust., 1(1993), 355–370.
69. G. Fairweather and J. C. Lopez–Marcos, An explicit extrapolated box scheme for the Gurtin–
MacCamy equation, Comput. Math. Appl., 27(1994), 41–53.
70. B. Bialecki, G. Fairweather and K. A. Remington Fourier methods for piecewise Hermite
bicubic orthogonal spline collocation, East–West J. Numer. Math., 2(1994), 1–20.
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71. G. Fairweather, Spline collocation methods for a class of hyperbolic partial integro–differential
equations, SIAM J. Numer. Anal., 31(1994), 444–460.
72. M. P. Robinson and G. Fairweather, Orthogonal spline collocation methods for Schr¨
odinger–
type equations in one space variable, Numer. Math., 68(1994), 355–376.
73. L. K. Peters, C. M. Berkowitz, G. R. Carmichael, R. C. Easter, S. T. Ghan, G. Fairweather,
J. M. Hales, L. R. Leung, W. R. Pennell, F. A. Potra, R. D. Saylor and T. T. Tsang The
current state and future direction of Eulerian models in simulating the tropospheric chemistry
and transport of trace species: a review, Atmospheric Environment, 28(1995), 189–222.
74. B. Bialecki and G. Fairweather, Matrix decomposition algorithms in orthogonal spline col-
location for separable elliptic boundary value problems, SIAM J. Sci. Comput., 16(1995),
330–347.
75. M. Vedha–Nayagam and G. Fairweather, Diffusion flame over a continuous moving fuel plate
in a parallel flow of oxidizer under microgravity, AIAA J. Thermophysics and Heat Transfer,
10(1996), 97–101.
76. J. C. Morrison, C. Baunach, L. Larson, B. Bialecki and G. Fairweather, Spline collocation
calculation for the hydrogen molecular ion, J. Physics B: At. Mol. Opt. Phys., 29(1996),
2375–2391.
77. G. Fairweather and J. C. Lopez–Marcos, Galerkin methods for a semilinear parabolic problem
with nonlocal boundary conditions, Adv. Comput. Math., 6(1996), 243–262.
78. B. Li, G. Fairweather and B. Bialecki, Discrete–time orthogonal spline collocation methods
for Schr¨
odinger equations in two space variables, SIAM J. Numer. Anal., 35(1998), 453–477.
79. Z. Lou, B. Bialecki and G. Fairweather, Orthogonal spline collocation methods for biharmonic
problems, Numer. Math., 80(1998), 267–303.
80. G. Fairweather and A. Karageorghis, The method of fundamental solutions for elliptic bound-
ary value problems, Adv. Comput. Math., 9(1998), 69–95.
81. A. Karageorghis and G. Fairweather, The method of fundamental solutions for axisymmetric
acoustic scattering and radiation problems, J. Acoust. Soc. Am., 104(1998), 3212–3218.
82. A. Karageorghis and G. Fairweather, The method of fundamental solutions for axisymmetric
potential problems, Internat. J. Numer. Methods Engrg., 44(1999), 1653–1669.
83. B. Li, G. Fairweather and B. Bialecki, A Crank–Nicolson orthogonal spline collocation method
for vibration problems, Appl. Numer. Math., 33(2000), 299–306.
84. A. Karageorghis and G. Fairweather, The method of fundamental solutions for axisymmetric
elasticity problems, Computational Mechanics, 25(2000) 524–532.
85. P. Amodio, J. R. Cash, G. Roussos, R. W. Wright, G. Fairweather, I. Gladwell, G. L. Kraut
and M. Paprzycki, Almost block diagonal linear systems: sequential and parallel solution
techniques, and applications, Numer. Linear Algebra Appl., 7(2000), 275–317.
12

86. J. C. Morrison, T. Wolf, B. Bialecki, G. Fairweather and L. Larson Numerical solutions of
the orbital equations for diatomic molecules, Molecular Physics, 98(2000), 1175–1184.
87. B. Bialecki and G. Fairweather, Orthogonal spline collocation methods for partial differential
equations, J. Comput. Appl. Math., 128(2001), 55–82.
88. A. Pani and G. Fairweather, H1–Galerkin mixed finite element methods for parabolic partial
integro–differential equations, IMA J. Numer.Anal., 22(2002), 231–252.
89. B. Li, G. Fairweather and B. Bialecki, Discrete–time orthogonal spline collocation methods
for vibration problems, SIAM J. Numer. Anal., 39(2002), 2045–2065.
90. B. Bialecki, G. Fairweather and A. Karageorghis, Matrix decomposition algorithms for modi-
fied spline collocation for Helmholtz problems, SIAM J. Sci. Comput., 24(2003), 1733–1753.
91. A. Pani and G. Fairweather, An H1–Galerkin mixed finite element method for an evolution
equation with a positive type memory term, SIAM J. Numer. Anal., 40(2003), 1475–1490.
92. G. Fairweather, A. Karageorghis and P. A. Martin, The method of fundamental solutions for
scattering and radiation problems, Eng. Anal. Bound. Elem., 27(2003), 759–769.
93. G. Fairweather and I. Gladwell, Algorithms for almost block diagonal linear systems, SIAM
Rev., 46(2004), 49–58.
94. G. Fairweather, A. Karageorghis and Y.-S. Smyrlis, A matrix decomposition MFS algorithm
for axisymmetric biharmonic problems, Adv. Comput. Math., 23(2005), 55–71.
95. B. Bialecki, G. Fairweather and A. Karageorghis, Optimal superconvergent one step cubic
spline collocation methods, SIAM J. Sci. Comput., 27(2005), 575–598.
96. G. Fairweather, Q. Lin, Y. Lin, J. Wang and S. Zhang, Asymptotic expansions and Richard-
son extrapolation of approximate solutions for second order elliptic problems on rectangular
domains by mixed finite element methods, SIAM J. Numer. Anal., 44(2006), 1122–1149.
97. R. Tankelevich, G. Fairweather, A. Karageorghis and Y.-S. Smyrlis, Potential field based
geometric modeling using the MFS, Internat. J. Numer. Methods Engrg., 68(2006), 1257–
1280.
98. M. Ewing, B. Moskal and G. Fairweather, Mathematical problem solving: a comparative
analysis between the U.S. and Korea, The International Journal of Learning, 14(8) (2007),
267–274.
99. G. Fairweather, H. Ma and W. Sun, Orthogonal spline collocation methods for the stream
function–vorticity formulation of the Navier–Stokes equations, Numer. Methods Partial Dif-
ferential Equations, 24(2008), 449–464.
100. A. K. Pani, G. Fairweather and R. I. Fernandes, Alternating direction implicit orthogonal
spline collocation methods for an evolution equation with a positive kernel, SIAM J. Numer.
Anal., 46(2008), 344–364.
13

101. B. Moskal, C. Skokan, L. Kosbar and G. Fairweather, The synergy of middle school outreach,
Academic Exchange Quarterly, 12(2) (2008), 49–54.
102. B. Bialecki, G. Fairweather, A. Karageorghis and Q. N. Nguyen, Optimal superconvergent one
step quadratic spline collocation methods, BIT, 48(2008), 449–472.
103. B. Bialecki, G. Fairweather, D. B. Knudson, D. A. Lipman, Q. N. Nguyen, W. Sun and
G. M. Weinberg, Matrix decomposition algorithms for the finite element Galerkin method
with piecewise Hermite cubics, Numer. Alg., 52(2009), 1–23.
104. R. Tankelevich, G. Fairweather and A. Karageorghis, Three-dimensional image reconstruction
using the PF/MFS technique, Eng. Anal. Bound. Elem., 33(2009), 1403–1410.
105. K. Dui, G. Fairweather, Q. N. Nguyen and W. Sun, Matrix decomposition algorithms for the
C0-quadratic finite element method, BIT, 49(2009), 509–526.
106. A. K. Pani, G. Fairweather and R. I. Fernandes, ADI orthogonal spline collocation methods
for parabolic partial integro–differential equations, IMA J. Numer. Anal., 30(2010), 248–276.
107. B. M. Moskal and G. Fairweather, Research experience for U.S. undergraduates: a collabo-
ration between Hong Kong and U.S. mathematicians, Mathematical Culture, 1(2010), 68–84,
(in English and Chinese).
108. B. Bialecki, G. Fairweather and A. Karageorghis Matrix decomposition algorithms for elliptic
boundary value problems: a survey, Numer. Alg., 56(2011), 253–295.
109. G. Fairweather, A. Karageorghis and J. Maack Compact optimal quadratic spline collocation
methods for the Helmholtz equation, J. Comput. Phys., 230(2011), 2880–2895.
110. R. I. Fernandes and G. Fairweather, An ADI extrapolated Crank-Nicolson orthogonal spline
collocation method for nonlinear reaction-diffusion systems, J. Comput. Phys. 231(2012),
6248–6267.
111. B. Bialecki, G. Fairweather and J. C. L´
opez-Marcos, The Crank-Nicolson Hermite cubic
orthogonal spline collocation method for the heat equation with nonlocal boundary conditions,
Adv. Appl. Math. Mech., 5(2013), 442–460.
112. K. Dui, G. Fairweather and W. Sun, Matrix decomposition algorithms for arbitrary order C0
tensor product finite element systems, J. Comput. Appl. Math., 275 (2015), 162–182.
113. B. Bialecki, G. Fairweather and J. C. L´
opez-Marcos, The extrapolated Crank-Nicolson or-
thogonal spline collocation method for a quasilinear parabolic problem with nonlocal boundary
conditions, J. Sci. Comput., 62 (2015), 265–283
114. G. Fairweather, H. Zhang, X. Yang and D. Xu, A backward Euler orthogonal spline collocation
method for the time fractional Fokker-Planck equation, Numer. Methods Partial Differential
Equations, DOI: 10.1002/num.21958.
115. G. Fairweather, X. Yang, D. Xu and H. Zhang, An ADI Crank-Nicolson orthogonal spline col-
location method for the two-dimensional fractional diffusion-wave equation, J. Sci. Comput.,
DOI: 10.1007/s10915-015-0003-x.
14

116. M. Khebchareon, A. K. Pani and G. Fairweather, Alternating direction implicit Galerkin
methods for an evolution equation with a positive-type memory term, J. Sci. Comput., DOI:
10.1007/s10915-015-0004-9.
117. R. I. Fernandes, B. Bialecki and G. Fairweather, An ADI extrapolated Crank-Nicolson orthog-
onal spline collocation method for nonlinear reaction-diffusion systems on evolving domains,
J. Comput. Phys., revised.
118. M. Khebchareon, A. K. Pani and G. Fairweather, Convergence analysis of the Crank-Nicolson
orthogonal spline collocation method for linear parabolic problems in two space variables, sub-
mitted.
15

ArXiv articles
1. R. I. Fernandes and G. Fairweather, An ADI extrapolated Crank-Nicolson orthogonal spline
collocation method for nonlinear reaction-diffusion systems - a computational study. Available
from: <arXiv:1202.1005>.
2. G. Fairweather, X. Yang, D. Xu and H. Zhang, An ADI Crank-Nicolson Orthogonal Spline
Collocation Method for the Two-Dimensional Fractional Diffusion-Wave Equation. Available
from: <arXiv:1405.3264>.
Invited Publications
1. B. Moskal and G. Fairweather, Assessment at the department level: why should mathematics
departments assess?, Mathematicians and Education Reform Newsletter, 17(2004) pp. 1, 4–5,
10–11.
2. B. Moskal and G. Fairweather, Enhancing U.S. undergraduate students’ appreciation of re-
search in the mathematical sciences through international collaboration, Hong Kong Mathe-
matical Society Newsletter, 1(2009), pp. 6–10.
Non–Refereed Articles
1. B. Moskal, S. Strong and G. Fairweather, First Annual Front Range Undergraduate Mathemat-
ics Conferences: lessons learned, Rocky Mountain Section of the Mathematical Association
of America: Newsletter, pp. 6–7, Spring 2005.
2. B. Moskal and G. Fairweather, An international research experience for undergraduates in
computational mathematics: a collaboration among Hong Kong universities and the Col-
orado School of Mines, Rocky Mountain Section of the Mathematical Association of America:
Newsletter, pp. 15–16, Fall 2006.
Papers in Refereed Conference Proceedings
1. G. Fairweather and R. L. Johnston, The method of fundamental solutions for problems in
potential theory, Treatment of Integral Equations by Numerical Methods, C. T. H. Baker and
G. F. Miller, editors, Academic Press, London, 1982, pp. 349-359.
2. G. Fairweather and M. Vedha-Nayagam, On the use of numerical software for solving two-
point boundary value problems arising in heat transfer, AIChE/ASME 23rd National Heat
Transfer Conference, Denver, Colorado, August 1985.
3. F. Majaess, P. Keast and G. Fairweather, Packages for solving almost block diagonal linear
systems arising in spline collocation at Gaussian points with monomial basis functions, Sci-
entific Software Systems, J. C. Mason and M. G. Cox, editors, Chapman and Hall, London,
1990, pp. 47-58.
4. M. P. Robinson and G. Fairweather, An orthogonal spline collocation method for the numer-
ical solution of underwater acoustic wave propagation problems, Computational Acoustics -
Volume 2, D. Lee, A. R. Robinson and R. Vichnevetsky, editors, Elsevier Science Publishers,
Amsterdam, 1993, pp. 339-353.
16

5. B. Bialecki, X.-C. Cai, M. Dryja and G. Fairweather, An additive Schwarz algorithm for
piecewise Hermite bicubic orthogonal spline collocation, Domain Decomposition Methods in
Science and Engineering (Como, 1992), Contemp. Math., 157, American Mathematical Soci-
ety, Providence, RI, 1994, pp. 237-244.
6. B. Moskal, G. Fairweather and S. Dallman, Impacting pre-college education: A partnership
between an engineering university and a school of education, Proceedings of the ASEE Global
Colloquium on Engineering Education, Rio de Janeiro, Brazil, October 2006, (6 pages).
7. G. Fairweather and B. M. Moskal, Research Experience for Undergraduates in Numerical
Analysis and Scientific Computing: An International Program, Proceedings of the Conference
on Promoting Undergraduate Research in Mathematics, American Mathematical Society,
Providence, Rhode Island, 2007, pp. 207–212.
8. G. Fairweather, A. Karageoghis, Y.-S. Smyrlis and R. Tankelevich, The application of the
method of fundamental solutions in geometric modeling, Third Asian-Pacific Congress on
Computational Mechanics (APCOM’07), Kyoto, Japan, December 2007.
9. B. Bialecki, G. Fairweather, A. Karageorghis and Q. N. Nguyen, Optimal superconvergent one
step quadratic spline collocation methods for Helmholtz equations, Recent Advances in Com-
putational Science, P. Jorgensen, X. Shen, C-W. Shu and N. Yan, editors, World Scientific,
Singapore, 2008, pp. 156–174.
10. R. I. Fernandes, B. Bialecki and G. Fairweather, Alternating direction implicit orthogonal
spline collocation methods for evolution equations, in Mathematical Modelling and Applica-
tions to Industrial Problems (MMIP-2011), M. J. Jacob and S. Panda, editors, Macmillan
Publishers India Limited, 2012, pp. 3–11.
Papers in Non-Refereed Conference Proceedings
1. G. Fairweather and J. P. Johnson, Richardson extrapolation for parabolic Galerkin methods,
The Mathematical Foundations of the Finite Element Method with Applications to Partial
Differential Equations, A. K. Aziz, editor, Academic Press, New York, 1972, pp. 767-768.
2. G. Fairweather, F. J. Rizzo and D. J. Shippy, Computation of double integrals in the boundary
integral equation method, Advances in Computer Methods for Partial Differential Equations
- III, R. S. Stepleman and R. Vichnevetsky, editors, IMACS, 1979, pp. 331-334.
3. R. L. Johnston, G. Fairweather and P. S. Han, The method of fundamental solutions, an
adaptive boundary element method, for problems in potential flow and solid mechanics, Proc.
Fifth ASCE Specialty Conf. Eng. Mech. Div., Laramie, Wyoming, 1984, pp. 500-504.
4. R. L. Johnston, G. Fairweather and A. Karageorghis, An adaptive indirect boundary ele-
ment method with applications, Boundary Elements VIII: Proceedings of the 8th International
Conference, Tokyo, Japan, September 1986, Vol. II, edited by M. Tanaka and C. Brebbia,
Springer-Verlag, New York, 1987, pp. 587-598.
5. G. Fairweather, On solving almost block diagonal linear systems arising in two-point bound-
ary value problems, Actas IX CEDYA, Proceedings of the Ninth Congress on Differential
Equations and Applications, Valladolid, Spain, September 1986, pp. 1-22.
17

6. G. Fairweather, Packages for solving certain almost block diagonal linear systems, Proceedings
of the Thirteenth South African Symposium on Numerical Mathematics, Umhlanga Rocks,
South Africa, July 1987, pp. 107-111.
7. A. Karageorghis and G. Fairweather, The method of fundamental solutions for plane bi-
harmonic problems, Proceedings of the Thirteenth South African Symposium on Numerical
Mathematics, Umhlanga Rocks, South Africa, July 1987, pp. 113-121.
8. G. Fairweather and E. G. Yanik, Finite element methods for nonlinear parabolic and hyper-
bolic partial integro-differential equations, in “Differential Equations and Applications Volume
I”, Proceedings of the International Conference on Theory and Applications of Differential
Equations, Columbus, Ohio, 1988, A. R. Aftabizadeh, editor, Ohio University Press, Athens,
Ohio, 1989, pp. 270-276.
9. M. Vedha-Nayagam, B. Agarwal and G. Fairweather, Diffusion flame over a continuous mov-
ing fuel plate in a parallel flow of oxidizer under microgravity, 1989 Fall Technical Meeting,
The Eastern Section of The Combustion Institute, Albany, New York, October 1989, pp.
68-1–68-4.
10. G. Fairweather, Galerkin and collocation methods for partial integro-differential equations,
Integral Equations and Inverse Problems, V. Petkov and R. Lazarov, editors, Proceedings
of the Bulgarian Academy of Sciences International Conference on Integral Equations and
Inverse Problems, Varna, Bulgaria, September 1989, Pitman Research Notes in Mathematics
Series 235, Longman Scientific & Technical, Harlow, Essex, England, 1991, pp. 76-85.
11. D. J. Shippy, P. S. Kondapalli and G. Fairweather Some boundary methods for analysis of
elastic-wave propagation, Advances in Boundary Element Techniques, J. H. Kane, G. Maier,
N. Tosaka and S. N. Atluri, editors, Proceedings of the 1991 International Conference on Com-
puting in Engineering Science, Melbourne, Australia, August 1991, Springer-Verlag, Berlin,
1993, pp. 391-406.
12. G. Fairweather, K. R. Bennett and B. Bialecki, Parallel matrix decomposition algorithms
for separable elliptic boundary value problems, Computational Techniques and Applications:
CTAC-91, Proceedings of the 1991 International Conference on Computational Techniques
and Applications, Adelaide, South Australia, July 1991, B. J. Noye, B. R. Benjamin and L.
H. Colgan, editors, Computational Mathematics Group, Australian Mathematical Society,
1992, pp. 63-74.
13. G. Fairweather and J. C. Lopez-Marcos, Finite element methods for a nonlocal semilinear
parabolic problem arising in thermoelasticity, 14th IMACS World Congress on Computational
and Applied Mathematics, Atlanta, Georgia, 1994, Vol. 3, pp. 1241-1245.
14. A. Karageorghis and G. Fairweather, The method of fundamental solutions for elliptic bound-
ary value problems, Fundamental Solutions in Boundary Elements, F. G. Benitez, editor,
University of Sevilla, Spain, 1997, pp. 13–26.
15. A. Karageorghis and G. Fairweather, The method of fundamental solutions for axisymmetric
problems, Boundary Element Technology XIII, C. S. Chen, C. A. Brebbia and D. W. Pepper,
editors, WIT Press, Southampton, 1999, pp. 387–396.
18

16. M. Khebchareon and G. Fairweather, An ADI Crank-Nicolson finite element Galerkin method
for Schr¨
odinger systems, Collected Papers, International Workshop and Conference on Anal-
ysis and Applications, May 2000, Chiang Mai University, Thailand, pp. 59–65.
17. A. Karageorghis, G. Fairweather and P. A. Martin, Recent advances in the method of fun-
damental solutions, Advances in Meshfree and X-FEM Methods, G. R. Liu, editor, World
Scientific, Singapore, 2002, pp. 17–22.
Technical Reports
1. G. Fairweather, Galerkin methods for differential equations, Report WISK 96, Council for
Scientific and Industrial Research, Pretoria, South Africa, March 1972.
2. G. Fairweather, Galerkin methods for differential equations - second edition, Report WISK
111, Council for Scientific and Industrial Research, Pretoria, South Africa, January 1973.
3. J. E. Dendy and G. Fairweather, Alternating direction Galerkin methods for parabolic and
hyperbolic problems on rectangular polygons, Report LA-5534-MS, Los Alamos Scientific Lab-
oratory, Los Alamos, New Mexico, February 1974.
4. G. Fairweather and P. Keast, A comparison of non-adaptive Romberg quadrature routines,
Technical Report 96, Department of Computer Science, University of Toronto, July 1976.
5. G. Fairweather, A note on the efficient implementation of certain Pad´
e methods for linear
parabolic problems, Report WISK 252, Council for Scientific and Industrial Research, Pretoria,
South Africa, March 1977.
6. G. Fairweather, Notes on Galerkin, collocation and collocation-Galerkin methods for linear
two-point boundary value problems, Report WISK 247, Council for Scientific and Industrial
Research, Pretoria, South Africa, July 1977.
7. G. Fairweather and I. M. Navon, A linear alternating direction implicit (ADI) method for
solving the shallow water equations, Report WISK 269, Council for Scientific and Industrial
Research, Pretoria, South Africa, August 1977.
8. J. C. Diaz, G. Fairweather and P. Keast, FORTRAN packages for solving certain almost block
diagonal linear systems by modified alternate row and column elimination, Technical Report
148/81, Department of Computer Science, University of Toronto, January 1981.
9. P. Keast, G. Fairweather and J. C. Diaz, A comparative study of finite element methods for the
solution of second order linear two-point boundary value problems, Technical Report 150/81,
Department of Computer Science, University of Toronto, March 1981.
10. G. Fairweather and P. Keast, ROWCOL - a package for solving almost block diagonal linear
systems arising in H−1-Galerkin and collocation-H−1-Galerkin methods, Technical Report
158/82, Department of Computer Science, University of Toronto, July 1982.
11. P. Keast and G. Fairweather, NATO Advanced Research Workshop, Numerical Integration:
Recent Developments, Software and Applications, Dalhousie University, August 11-15, 1986,
Abstracts of Invited and Contributed Papers, Technical Report 1986CS-3, Computing Science
Division, Dalhousie University, Halifax, Nova Scotia.
19

12. A. Karageorghis and G. Fairweather, The Almansi method of fundamental solutions for solv-
ing biharmonic problems, Research Report ABERNA 10, Department of Mathematics, The
University College of Wales, Aberystwyth, Wales, March 1987.
13. A. Karageorghis and G. Fairweather, The method of fundamental solutions for the solution
of non-linear plane potential problems, Research Report ABERNA 15, Department of Math-
ematics, The University College of Wales, Aberystwyth, Wales, September 1987.
14. A. Karageorghis and G. Fairweather, The simple layer potential method of fundamental solu-
tions for certain biharmonic problems, Research Report ABERNA 23, Department of Math-
ematics, The University College of Wales, Aberystwyth, Wales, July 1988.
15. G. Fairweather, NSF-CBMS Regional Conference, Mathematical Foundations of the Boundary
Element Method, May 9-13, 1988, Abstracts of Principal Lectures, Invited and Contributed
Papers, Technical Report CCS-88-1, Center for Computational Sciences, University of Ken-
tucky, June 1988.
16. W. L. Seward, P. Kasibhatla and G. Fairweather, On the numerical solution of a model
air pollution problem with nonsmooth initial data, Technical Report CCS-89-2, Center for
Computational Sciences, University of Kentucky, September 1989.
17. G. Fairweather and R. D. Saylor, The reformulation and numerical solution of certain non-
classical initial-boundary value problems, Technical Report CCS-89-3, Center for Computa-
tional Sciences, University of Kentucky, October 1989.
18. M. P. Robinson and G. Fairweather, On the use of the NAG code D02NNF in the numerical
solution of the cubic Schr¨
odinger equation in one space variable, Technical Report CCS-89-4,
Center for Computational Sciences, University of Kentucky, December 1989.
19. F. Majaess, P. Keast, G. Fairweather and K. R. Bennett, Fortran packages for the solution
of almost block diagonal linear systems arising in spline collocation at Gaussian points with
monomial basis functions, Technical Report CCS-90-3, Center for Computational Sciences,
University of Kentucky, June 1990.
20. B. Bialecki and G. Fairweather, Matrix decomposition algorithms for separable elliptic bound-
ary value problems in two space dimensions, Technical Report CCS-90-4, Center for Compu-
tational Sciences, University of Kentucky, June 1990.
21. P. S. Kondapalli, D. J. Shippy and G. Fairweather The method of fundamental solutions for
scattering and transmission of waves in fluids and solids, Technical Report CCS-90-5, Center
for Computational Sciences, University of Kentucky, October 1990.
22. K. R. Bennett and G. Fairweather, PCOLNEW: A parallel boundary-value ODE code for
shared-memory machines, Technical Report CCS-90-8, Center for Computational Sciences,
University of Kentucky, November 1990.
23. G. Fairweather, Spline collocation methods for a class of hyperbolic partial integro-differential
differential equations, Technical Report CCS-92-1, Center for Computational Sciences, Uni-
versity of Kentucky, August 1992.
20

24. M. P. Robinson and G. Fairweather, Orthogonal spline collocation methods for Schr¨
odinger -
type equations in one space variable, Technical Report CCS-92-2, Center for Computational
Sciences, University of Kentucky, December 1992.
25. T. F. Chan, G. Fairweather and J. P. Shao, First-order system least squares methods for
convection-diffusion equations on unstructured meshes, UCLA Computational and Applied
Mathematics Report 94-31, October 1994.
26. A. Karageorghis and G. Fairweather, The method of fundamental solutions for elliptic bound-
ary value problems, Technical Report TR/12/1997, Department of Mathematics and Statis-
tics, University of Cyprus.
27. A. Karageorghis and G. Fairweather, The method of fundamental solutions for axisymmetric
potential problems, Technical Report TR/1/1998, Department of Mathematics and Statistics,
University of Cyprus.
28. A. Karageorghis and G. Fairweather, The method of fundamental solutions for axisymmet-
ric acoustic scattering and radiation problems, Technical Report TR/2/1998, Department of
Mathematics and Statistics, University of Cyprus.
29. A. Karageorghis and G. Fairweather, The method of fundamental solutions for axisymmetric
elasticity problems, Technical Report TR/3/1999, Department of Mathematics and Statistics,
University of Cyprus.
30. B. Li, G. Fairweather and B. Bialecki, Discrete-time orthogonal spline collocation methods
for vibration problems, Technical Report 00-05, Department of Mathematical and Computer
Sciences, Colorado School of Mines, 2000.
31. G. Fairweather, A. Karageorghis and B. Bialecki, Matrix decomposition algorithms for mod-
ified cubic spline collocation for separable elliptic boundary value problems. I. Poisson and
Helmholtz problems, Technical Report TR/01/2000, Department of Mathematics and Statis-
tics, University of Cyprus, revised 2001.
32. G. Fairweather, A. Karageorghis and P. A. Martin, The method of fundamental solutions for
scattering and radiation problems, Technical Report TR/04/2002, Department of Mathemat-
ics and Statistics, University of Cyprus, 2002.
33. B. Bialecki, G. Fairweather and A. Karageorghis, Optimal superconvergent one step nodal
cubic spline collocation methods, Technical Report TR/04/2004, Department of Mathematics
and Statistics, University of Cyprus.
34. R. Tankelevich, G. Fairweather, A. Karageorghis and Y.-S. Smyrlis, Potential field based
geometric modeling using the method of fundamental solutions, Technical Report TR/14/2005,
Department of Mathematics and Statistics, University of Cyprus.
35. B. Bialecki, G. Fairweather, A. Karageorghis and Q. N. Nguyen, On the formulation and
implementation of optimal superconvergent one step quadratic spline collocation methods for
elliptic problems, Technical Report TR/18/2007, Department of Mathematics and Statistics,
University of Cyprus.
21

36. G. Fairweather, A. Karageorghis and J. Maack, Compact optimal quadratic spline collocation
methods for Poisson and Helmholtz problems: formulation and numerical verification, Tech-
nical Report TR/03/2010, Department of Mathematics and Statistics, University of Cyprus.
BOOK REVIEWS
1. R. T. Gregory and D. L. Karney, A Collection of Matrices for Testing Computational Algo-
rithms, Wiley-Interscience, 1969, (Math. Rev., 40(1970), 6752).
2. W. F. Ames, Numerical Methods for Partial Differential Equations, Barnes and Noble, 1969,
(Math. Rev., 41(1971), 7828).
3. D. Greenspan, Introduction to Numerical Analysis, Markham Publishing Company, 1971,
(Math. Rev., 42(1971), 7028).
4. W. F. Ames, Numerical Methods for Partial Differential Equations, Second Edition, Academic
Press, 1977, (Math. Rev., 58(1979), 24826).
5. T. Meis and U. Marcowitz, Numerical Solution of Partial Differential Equations, Springer-
Verlag, New York, 1981, (Math. Comp., 40(1983), 718-720).
6. L. Lapidus and G. F. Pinder, Numerical Solution of Partial Differential Equations in Science
and Engineering, Wiley, New York, 1982, (American Scientist, 72(1984), 524-525).
7. D. B. Ingham and M. A. Kelmanson, Boundary Integral Equation Analysis of Singular, Poten-
tial and Biharmonic Problems, Lecture Notes in Engineering 7, Springer-Verlag, New York,
1984, (Math. Comp., 47(1986), 751-752).
8. C. A. Brebbia, Topics in Boundary Element Research, Volume 1: Basic Principles and Ap-
plications, Springer-Verlag, New York, 1984, (Math. Comp., 48(1987), 835-838).
INVITED CONFERENCE LECTURES
SIAM Fall Meeting, Cincinnati, Ohio, October 1981.
LMS Symposium on the Numerical Solution of Integral Equations, Durham, England, July 1982,
(with R. L. Johnston).
Society of Engineering Science, 19th Annual Meeting, Rolla, Missouri, October 1982, (with R. L.
Johnston).
Fifth ASCE-EMD Specialty Conference, Laramie, Wyoming, August 1984, (with R. L. Johnston
and P. S. Han).
Canadian Applied Mathematics Society Annual Meeting, Halifax, Nova Scotia, Canada, May 1985.
1986 ASCE Spring Convention, Seattle, Washington, April 1986, (with R. L. Johnston).
Joint Meetings of the Iowa Sections of MAA, SIAM, ASA, Iowa City, Iowa, April 1986.
9th CEDYA, Spanish Conference on Differential Equations and Their Numerical Solution, Val-
ladolid, Spain, September 1986.
22

Thirteenth South African Symposium on Numerical Mathematics, Umhlanga Rocks, South Africa,
July 1987.
Canadian Applied Mathematics Society Annual Meeting, Winnipeg, Manitoba, Canada, June 1989.
Australian Mathematical Society, 33rd Annual Meeting, Macquarie University, Sydney, Australia,
July 1989.
Canadian Mathematical Society Winter Meeting, Montreal, Canada, December 1989.
Stefan Banach Mathematical Center - XXXVII Semester, Numerical Analysis and Mathematical
Modeling, Warsaw, Poland, May 1991.
CTAC 91, International Conference on Computational Techniques and Applications, Adelaide, Aus-
tralia, July 1991.
Special Session on Numerical Solution for Integro-Differential Equations, Joint Mathematics Meet-
ings, San Francisco, January 1995.
ICPAM ’95, International Conference on Pure and Applied Mathematics, Bahrain, November 1995.
MAFELAP 1996, Ninth Conference on the Mathematics of Finite Element Methods and Applica-
tions, Brunel University, England, June 1996.
Regional Seminar on Computational Methods and Simulation in Engineering - CMSE’97, Bandung,
Indonesia, September, 1997.
Workshop on Scientific Computing and Applications, City University, Hong Kong, December 1998.
BETECH’99, Thirteenth International Conference on Boundary Element Technology, Las Vegas,
Nevada, June 1999.
ICIAM’99, 4th International Congress on Industrial and Applied Mathematics, Edinburgh, Scot-
land, July 1999.
5th National Congress on Computational Mechanics, University of Colorado, Boulder, August 1999.
International Workshop and Conference in Analysis and Applications, Chiang Mai University, Chi-
ang Mai, Thailand, May 2000. Presented short course and plenary address.
Second International Workshop on Scientific Computing and Applications, Kananaskis, Alberta,
Canada, May 2000.
Second Southern Conference on Computing, University of Southern Mississippi, October 2000.
First International Conference on Industrial and Applied Mathematics in Indian Sub-continent and
VIth Annual Conference of ISIAM, Amritsar, India, January 2001.
Special Session on Finite Element Analysis and Applications, American Mathematical Society,
Spring Western Section Meeting, Las Vegas, Nevada, April 2001.
CTAC-2001, International Conference on Computational Techniques and Applications, Brisbane,
Australia, July 2001.
Workshop on Scientific Computing, Chinese University of Hong Kong, December 2001.
International Conference on Abstract and Applied Analysis, Hanoi, Vietnam, August 2002.
23

Atlantic Provinces Council on the Sciences, APICS Mathematics/Statistics/Computer Science
Conference, Mount Allison University, Sackville, New Brunswick, October 2002.
Mathematics of Computation and Approximation, Conference in Honour of the 65th Birthday of
Professor Ian Sloan, University of New South Wales, Sydney, Australia, July 2003.
Annual Conference of the Mathematical Society of Thailand, Chiang Mai University, Chiang Mai,
Thailand, May 2004.
International Workshop on Computational Science and Its Education, Capital Normal University,
Beijing, China, August 2005.
Fifth International Conference on Scientific Computing and Applications, Banff, Canada, May
2006.
The 2nd International Conference on Structured Matrices, Hong Kong Baptist University, Hong
Kong, June 2006.
2006 Korea–USA Forum for Attracting Gifted/Talented Students into Science and Engineering,
Seoul, Korea, June 2006.
ASEE Global Colloquium on Engineering Education, Engineering Education in the Americas and
Beyond, Rio de Janeiro, Brazil, October 2006.
Canadian Applied and Industrial Mathematics Society Annual Meeting, Banff, Canada, May 2007.
Plenary speaker, MFS 2007: Workshop on the Method of Fundamental Solutions, Ayia Napa,
Cyprus, June 2007.
International Conference on Spectral and High Order Methods (ICOSAHOM07), Beijing, China,
June 2007.
Third Asian-Pacific Congress on Computational Mechanics (APCOM’07), Kyoto, Japan, December
2007, (with R. Tankelevich).
International Conference on Applied Mathematics: Modeling, Analysis and Computation, City
University of Hong Kong, June 2008.
SIAM National Meeting, San Diego, CA, July 2008, (with B. Moskal).
International Conference on Engineering and Computational Mathematics (ECM2009), The Hong
Kong Polytechnic University, May 2009, (with J. Maack).
Plenary speaker, Third International Conference on Science and Mathematics Education in Devel-
oping Countries, Phnom Pehn, Cambodia, March 2010, (with J. Dinh and B. Moskal).
Nonstandard Discretizations for Fluid Flows, Banff International Research Station (BIRS), Banff,
Canada, November 2010, (with A. Karageorghis).
Plenary speaker, Fourth International Conference on Science and Mathematics Education in De-
veloping Countries, Phnom Pehn, Cambodia, February 2011.
Plenary speaker, International Conference on Mathematical Modelling and Applications to Indus-
trial Problems, Calicut, India, March 2011, (with R. I. Fernandes and B. Bialecki).
24

Special Session on Recent Advances in Finite Element Methods, American Mathematical Society,
Spring Western Section Meeting, University of Nevada, Las Vegas, April 30-May 1, 2011, (with R.
I. Fernandes).
Plenary speaker, Fifth International Conference on Science and Mathematics Education in Devel-
oping Countries, Phnom Pehn, Cambodia, March 2012.
Plenary speaker, The Eighth International Conference on Scientific Computing and Applications,
University of Nevada, Las Vegas, April 1–4, 2012.
2nd Workshop on Computational Mathematics, Department of Applied Mathematics, The Hong
Kong Polytechnic University, Hong Kong, May 25–26, 2012, (with R. I. Fernandes).
International Conference on Applied Mathematics 2012: Modeling, Analysis & Computation, City
University of Hong Kong, Hong Kong, May 28 – June 1, 2012, (with A. Karageorghis).
Lloyd G. Roeling Mathematics Conference, University of Louisiana Lafayette, November 2–4, 2012,
(with K. Du and W. Sun).
MAA Texas Section Annual Meeting, Texas Tech University, April 12–13, 2013.
Plenary speaker, Sixth International Conference on Science and Mathematics Education in Devel-
oping Countries, Mandalay, Myanmar, November 1–2, 2013.
The Second International Conference on Engineering and Computational Mathematics (ECM2013),
The Hong Kong Polytechnic University, 16–18 December 2013.
Plenary speaker, Seventh International Conference on Science and Mathematics Education in De-
veloping Countries, Mandalay, Myanmar, November 7–9, 2014.
Recent Advances in Computational Mathematics & Applications, Tsinghua Sanya International
Mathematics Forum (TSIMF), Sanya, China, December 8–12, 2014
PROFESSIONAL ACTIVITIES
Chartered Mathematician, United Kingdom.
Chartered Scientist, United Kingdom.
Membership of Professional Societies
Fellow of the Institute of Mathematics and its Applications
American Mathematical Society (Life Member)
American Society for Engineering Education
Canadian Applied and Industrial Mathematics Society (Life Member)
European Mathematical Society
Mathematical Association of America
Society for Industrial and Applied Mathematics (Life Member)
South African Mathematical Society
Conference Organization
Member, Organizing Committee, The Southeast Asian Conference of Mathematical Education and
Mathematics, Hong Kong, August 2016.
25

Member and Past Co-Chair, International Program Committee, 8th International Conference on
Science and Mathematics Education in Developing Countries, Yangon University, Yangon, Myan-
mar, November 7-9, 2015.
Member, Scientific Committee, The Joint International Conference on Trefftz Method VII and
Method of Fundamental Solutions Ill, Hangzhou, China, October 11-13, 2015.
Co-Chair, International Program Committee, 7th International Conference on Science and Mathe-
matics Education in Developing Countries, University of Mandalay, Mandalay, Myanmar, Novem-
ber 7-9, 2014.
Member, Scientific Committee, The Ninth International Conference on Scientific Computing and
Applications, Xi’an, China, June 12-16, 2014.
Co-Chair, International Program Committee, 6th International Conference on Science and Mathe-
matics Education in Developing Countries, University of Mandalay, Mandalay, Myanmar, Novem-
ber 1-3, 2013.
Special Session organizer, International Conference on Applied Mathematics 2012: Modeling, Anal-
ysis & Computation, City University of Hong Kong, Hong Kong, May 28-June 1, 2012.
Member, Scientific Committee, The Eighth International Conference on Scientific Computing and
Applications, University of Nevada, Las Vegas, April 1-4, 2012.
Chair, International Program Committee, 5th International Conference on Science and Mathemat-
ics Education in Developing Countries, Phnom Penh, Cambodia, March 1-3, 2012.
Member, International Program Committee, 4th International Conference on Science and Mathe-
matics Education in Developing Countries, Phnom Penh, Cambodia, February 23-25, 2011.
Member, International Program Committee, 3rd International Conference on Science and Mathe-
matics Education in Developing Countries, Phnom Penh, Cambodia, March 2-5, 2010.
Minisymposium organizer, ICIAM 2003, 5th International Conference on Industrial and Applied
Mathematics, Sydney, Australia, 7-11 July, 2003.
Member, Technical Committee, W0PLA’03: Workshop on Parallel Linear Algebra, June 2-4, 2003,
Melbourne, Australia.
Member, Scientific Committee, Third International Workshop on Scientific Computing and Appli-
cations, City University, Hong Kong, January 6-9, 2003.
Member, Scientific Committee, International Conference on Abstract and Applied Analysis 2002,
August 13-17, 2002, Hanoi, Vietnam.
Co-Director, NSF-CBMS Regional Conference on Numerical Methods in Forward and Inverse Elec-
tromagnetic Scattering, Colorado School of Mines, Golden, Colorado, June 3-7, 2002. Principal
lecturer: Peter B. Monk
Minisymposium organizer, ICIAM’99, 4th International Congress on Industrial and Applied Math-
ematics, Edinburgh, Scotland, July 1999.
Member, International Scientific Advisory Committee, Thirteenth International Conference on
Boundary Element Technology BETECH ’99, University of Nevada, Las Vegas, June 8-10, 1999.
26

Member, Organizing Committee, Fourth SIAM/INRIA International Conference on Mathematical
and Numerical Aspects of Wave Propagation, Colorado School of Mines, Golden, Colorado, June
1-5, 1998.
Co-Director, NSF-CBMS Regional Conference on Numerical Analysis of Hamiltonian Differential
Equations, Colorado School of Mines, Golden, Colorado, June 2-6, 1997. Principal lecturer: J. M.
Sanz-Serna.
Director, Workshop on the Method of Lines for Time-Dependent Problems, University of Kentucky,
Lexington, Kentucky, May 31-June 3, 1995.
Director, Mini-Conference on Domain Decomposition Methods, University of Kentucky, Lexington,
Kentucky, November 15-16, 1991.
Director, NSF-CBMS Regional Conference on Mathematical Foundations of the Boundary Element
Method, University of Kentucky, Lexington, Kentucky, May 9-13, 1988. Principal lecturer: Wolf-
gang L. Wendland.
Co-Director, NATO Advanced Research Workshop: Numerical Integration, Recent Developments,
Software and Applications, Dalhousie University, Halifax, Nova Scotia, August 11-15, 1986.
Member of Conference Committee and Session Organizer, Fourth IMACS International Symposium
on Computer Methods for Partial Differential Equations, Lehigh University, Bethlehem, Pennsyl-
vania, July 1981.
Other Professional Activities
Member of the Numerical Analysis Study Group, MAA Committee on the Undergraduate Programs
in Mathematics (CUPM), 2015 Curriculum Guide.
Member of external review committee for Department of Mathematics:
Iowa State University, March 1988.
Southern Methodist University, January 2005
University of Nevada, Las Vegas, April 2005
Southern Mississippi University, November 2006
University of Texas at Arlington, April 2007
27