Papers by P. A. Martin in Conference Proceedings and Edited Books

  1. Use (and misuse) of the method of images. Proc. 14th Int. Conf. on Mathematical and Numerical Aspects of Wave Propagation, Vienna, Austria (2019).
  2. Acoustic scattering by spheres and spheroids in the time domain. Proc. 13th Int. Conf. on Mathematical and Numerical Aspects of Wave Propagation, Minneapolis (2017) 231-232.
  3. Ursell, Fritz Joseph (1923–2012), Oxford Dictionary of National Biography, January 2016. doi
  4. Princeton Companion to Applied Mathematics (ed. N.J. Higham), Princeton University Press, 2015. Contributed one long article (Complex analysis, 173-181) and 15 short articles: Asymptotics, 81-82; Bessel functions, 137; Boundary layer, 82; The Burgers equation, 138; The Cauchy-Riemann equations, 139; The diffusion equation, 142; The Euler equations, 146-147; The gamma function, 148; Hooke's law, 149-150; Integral transforms and convolution (with N.J. Higham), 104-105; Laplace's equation, 155-156; The shallow-water equations, 167-168; Singularities, 124-125; The wave equation, 171; and Wave phenomena, 134.
  5. Scattering by a cage. Proc. 12th Int. Conf. on Mathematical and Numerical Aspects of Wave Propagation, Karlsruhe, Germany (2015) 151-152.
  6. Scattering by rings of vertical cylinders. Proc. 30th Int. Workshop on Water Waves and Floating Bodies, Bristol (2015) 141-144.
  7. Analytical algorithms for the inverse source problem in a sphere. (With N.L. Tsitsas). Proc. 11th Int. Conf. on Mathematical and Numerical Aspects of Waves, Gammarth, Tunisia (2013) 173-174.
  8. Internal gravity waves and hyperbolic boundary-value problems. (With S.G. Llewellyn Smith). Proc. 10th Int. Conf. on Mathematical and Numerical Aspects of Waves, Vancouver, Canada (2011) 375-378.
  9. Integral equations for crack scattering. Chapter 5 in Elastic Waves at High Frequencies by J.G. Harris, Cambridge University Press (2010) 81-95.
  10. Two-dimensional waves around almost periodic arrangements of scatterers. (With A. Maurel). Proc. 9th Int. Conf. on Mathematical and Numerical Aspects of Wave Propagation, Pau, France (2009) 388-389.
  11. Multiple scattering by multiple scatterers. ESAIM: Proceedings 26 (2009) 180-206.
  12. Effect of non-linear interface kinetics on coarsening phenomena. (With M. Upmanyu and A.D. Rollett). arXiv:0704.2118v1, April 2007. 4 pages.
  13. On the T-matrix for scattering by a small obstacle. Proc. 7th Int. Conf. on Mathematical and Numerical Aspects of Wave Propagation, Brown University, Providence (2005) 173-175.
  14. A long-wave multiple scattering theory. (With C.M. Linton). Proc. 20th Int. Workshop on Water Waves and Floating Bodies, Longyearbyen, Spitsbergen, Norway (2005) 4 pages.
  15. A long-wave multiple scattering theory. (With C.M. Linton and I. Thompson). Proc. 7th Int. Conf. on Mathematical and Numerical Aspects of Wave Propagation, Brown University, Providence (2005) 139-141.
  16. On the scattering of spherical electromagnetic waves by a penetrable chiral obstacle. (With C. Athanasiadis, A. Spyropoulos and I.G. Stratis). In: Advances in Scattering and Biomedical Engineering (ed. D.I. Fotiadis and C.V. Massalas) World Scientific, New Jersey (2004) 34-43.
  17. Fundamental solutions and functionally graded materials. In: Integral Methods in Science and Engineering (ed. C. Constanda, M. Ahues and A. Largillier) Birkhauser, Boston (2004) 123-131.
  18. Scattering by inhomogeneities. In: Mathematical and Numerical Aspects of Wave Propagation (WAVES 2003) (ed. G.C. Cohen, E. Heikkola, P. Joly and P. Neittaanmaki) Springer-Verlag, Berlin (2003) 233-238.
  19. Recent advances in the method of fundamental solutions. (With A. Karageorghis and G. Fairweather). In: Advances in Meshfree and X-FEM Methods (ed. G.R. Liu) World Scientific, Singapore (2002) 17-22.
  20. Waves in wood. (With J.R. Berger). In: IUTAM Symposium on Diffraction and Scattering in Fluid Mechanics and Elasticity (ed. I.D. Abrahams, P.A. Martin and M.J. Simon) Kluwer, Dordrecht (2002) 337-344.
  21. A boundary element investigation of the potential boundary determination. (With D. Lesnic and J.R. Berger). In: Third UK Conference on Boundary Integral Methods (ed. P.J. Harris) University of Brighton Press (2001) 47-56.
  22. Waves in wood: elastic waves in cylindrically orthotropic materials. (With J.R. Berger). In: 5th Int. Conf. on Mathematical and Numerical Aspects of Wave Propagation (ed. A. Bermudez, D. Gomez, C. Hazard, P. Joly and J.E. Roberts) SIAM, Philadelphia (2000) 182-186.
  23. Torsional waves in composite co-axial cylinders with imperfect interfaces. (With J.R. Berger and S.J. McCaffery). In: 5th Int. Conf. on Mathematical and Numerical Aspects of Wave Propagation (ed. A. Bermudez, D. Gomez, C. Hazard, P. Joly and J.E. Roberts) SIAM, Philadelphia (2000) 389-393
  24. Water waves in a simple inlet and bay system. (With R.A. Dalrymple and I.J. Losada). In: Coastal Structures '99, vol. 1 (ed. I.J. Losada), A.A. Balkema, Rotterdam (2000) 101-106.
  25. Scattering by inclusions. In: Analytical and Computational Methods in Scattering and Applied Mathematics (ed. F. Santosa and I. Stakgold), Research Notes in Mathematics 417, Chapman & Hall/CRC Press, Boca Raton (2000) 209-216.
  26. On the added mass of wrinkled discs. In: EMAC '98, 3rd Biennial Engineering Mathematics and Applications Conference (ed. E.O. Tuck and J.A.K. Stott), Institution of Engineers, Australia (1998) 351-354.
  27. Diffraction by non-planar cracks. In: 4th Int. Conf. on Mathematical and Numerical Aspects of Wave Propagation (ed. J.A. DeSanto) SIAM, Philadelphia (1998) 102-106.
  28. Some negative results on the use of Helmholtz integral equations for rough-surface scattering. (With J.A. DeSanto). In: Mathematical Methods in Scattering Theory and Biomedical Technology (ed. G. Dassios, D.I. Fotiadis, C.V. Massalas and K. Kiriaki), Pitman Research Notes in Maths 390, Addison Wesley Longman, Harlow (1998) 33-44.
  29. Parabolic modelling of water waves. (With R.A. Dalrymple and J.T. Kirby). In: Gravity Waves in Water of Finite Depth (ed. J.N. Hunt), Advances in Fluid Mechanics, vol. 10, Computational Mechanics Publications, Southampton (1997) 169-213.
  30. Interaction of water waves with thin plates. (With N.F. Parsons and L. Farina). In: Mathematical Techniques for Water Waves (ed. B.N. Mandal), Advances in Fluid Mechanics, vol. 8, Computational Mechanics Publications, Southampton (1997) 197-229.
  31. Boundary elements and a Green's function library. (With F.J. Rizzo and R.A. Roberts). In: Green's Functions and Boundary Element Analysis for Modeling of Mechanical Behavior of Advanced Materials (NIST Special Publication 910) (ed. J.R. Berger and V.K. Tewary), National Institute of Standards and Technology (1996) 101-111.
  32. On the radiation of water waves by oscillating submerged plates. (With L. Farina). In: Developments in Mechanics, vol. 18 (Proc. 24th Midwestern Mechanics Conference) (ed. T.J. Rudolphi and L.W. Zachary), Ames, IA (1995) 147-149.
  33. Exact Green's functions and the boundary element method. (With F.J. Rizzo, L. Pan and D. Zhang). In: Boundary Elements XVII (ed. C.A. Brebbia, S. Kim, T.A. Osswald and H. Power), Computational Mechanics Publications, Southampton (1995) 19-26.
  34. Interaction of water waves with floating and submerged circular plates. (With L. Farina). Proc. 10th Int. Workshop on Water Waves and Floating Bodies, Oxford (1995) 51-54; disc. 55-56.
  35. Another look at wide-spacing approximations for three-dimensional multiple scattering problems. Proc. 10th Int. Workshop on Water Waves and Floating Bodies, Oxford (1995) 159-162; disc. 163.
  36. Multiple scattering: an invitation. In: 3rd Int. Conf. on Mathematical and Numerical Aspects of Wave Propagation (ed. G. Cohen, E. Becache, P. Joly and J.E. Roberts) SIAM, Philadelphia (1995) 3-16.
  37. Some applications of the Mellin transform to asymptotics of series. In: Inverse Scattering and Potential Problems in Mathematical Physics (ed. R.E. Kleinman, R. Kress and E. Martensen) Peter Lang Verlag, Frankfurt (1995) 129-140.
  38. Some hydrodynamic applications of hypersingular boundary integral equations. (With N.F. Parsons and L. Farina). Proc. 2nd ACME Conference, Computational Mechanics in U.K. - 1994, Manchester (1994) 151-154.
  39. Electromagnetic wave scattering: a modern boundary element approach for NDE applications. (With J. Chao, Y.J. Liu, L. Udpa and F.J. Rizzo). In: Review of Progress in Quantitative Nondestructive Evaluation (ed. D.O. Thompson and D.E. Chimenti) Plenum Press, New York. 13 (1994) 661-668.
  40. Electromagnetic scattering modeling using boundary element methods. (With J. Chao, Y.J. Liu, F. Rizzo and L. Udpa). Proc. 2nd Annual Midwest Electro-Technology Conference, Ames, IA (1993) 126-129.
  41. Elastodynamic inverse obstacle scattering. (With G. Dassios). In: 2nd Int. Conf. on Mathematical and Numerical Aspects of Wave Propagation (ed. R. Kleinman, T. Angell, D. Colton, F. Santosa and I. Stakgold) SIAM, Philadelphia (1993) 330-337.
  42. Boundary integral equations for bodies of small, but finite, thickness. (With F.J. Rizzo). Proc. 8th Int. Workshop on Water Waves and Floating Bodies, St. John's, Newfoundland (1993), vol. 1, 91-94; disc., vol. 2, 44-45.
  43. Trapped modes above a submerged flat plate. (With N.F. Parsons). Proc. 8th Int. Workshop on Water Waves and Floating Bodies, St. John's, Newfoundland (1993), vol. 1, 113-116; disc., vol. 2, 56-57.
  44. Interaction of water waves with thin plates. (With N.F. Parsons). Proc. 7th Int. Workshop on Water Waves and Floating Bodies, Val de Reuil, France (1992) 227-230; disc. 231.
  45. Asymptotic study of scattering frequencies for a coupled system. (With C. Luke). Proc. 7th Int. Workshop on Water Waves and Floating Bodies, Val de Reuil, France (1992) 165-168; disc. 169.
  46. Ursell's multipoles and the Rayleigh hypothesis. Proc. 6th Int. Workshop on Water Waves and Floating Bodies, Woods Hole, MA (1991) 163-166; disc. 167.
  47. Scattering of elastic waves by inclusions with thin interface layers. In: Direct and Inverse Boundary Value Problems (ed. R. Kleinman, R. Kress and E. Martensen) Peter Lang Verlag, Bern (1991) 161-168.
  48. Oscillating immersed plates and hypersingular integral equations, II. Proc. 5th Int. Workshop on Water Waves and Floating Bodies, Manchester (1990) 114-117; disc. 118.
  49. Thin interface layers: adhesives, approximations and analysis. In: Elastic Waves and Ultrasonic Nondestructive Evaluation (ed. S.K. Datta, J.D. Achenbach and Y.S. Rajapakse) North-Holland, Amsterdam (1990) 217-222.
  50. On the computation and excitation of trapping modes. Proc. 4th Int. Workshop on Water Waves and Floating Bodies, Oystese, Norway (1989) 145-147; disc. 148.
  51. Single integral equations for scattering of elastic waves by an elastic inclusion. In: Elastic Wave Propagation (ed. M.F. McCarthy and M.A. Hayes) North-Holland, Amsterdam (1989) 387-391.
  52. Water wave scattering by rows of circular cylinders. (With R.A. Dalrymple and S.N. Seo). Proc. 21st Int. Coastal Engineering Conf., Torremolinos (1988) 2216-2228.
  53. Oscillating immersed plates and hypersingular integral equations. Proc. 3rd Int. Workshop on Water Waves and Floating Bodies, Woods Hole, MA (1988) 117-119; disc. 119.
  54. Single integral equations for scattering by a penetrable obstacle. (With R.E. Kleinman). In: Advanced Boundary Element Methods (ed. T.A. Cruse) Springer-Verlag, Berlin (1988) 207-213.
  55. Null-field methods for floating cylinders whose cross-sections are elongated. Proc. 1st Int. Workshop on Water Waves and Floating Bodies, M.I.T. (1986) 87-88; disc. 89-91.
  56. Multiple scattering of surface water waves and the null-field method. Proc. 15th Symposium on Naval Hydrodynamics, Hamburg (1984) 119-132.
  57. Multiple scattering of surface water waves. In: University of Strathclyde Seminars in Applied Mathematical Analysis: Classical Scattering (ed. G.F. Roach) Shiva Publ. Ltd., Nantwich, Cheshire (1984) 110-123.
  58. Water-wave problems and the null-field method. In: Treatment of Integral Equations by Numerical Methods (ed. C.T.H. Baker and G.F. Miller) Academic Press, London (1982) 149-152.
  59. On the null-field equations for water-wave radiation problems. (With F. Ursell). Proc. 3rd Int. Conf. on Numerical Ship Hydrodynamics, Paris (1981) 543-550.

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