Research
1 Funded Research
At the Colorado School of Mines
Total: $1,425,335.
Funding by source:
(i) National Science Foundation: $996,026,
(ii) Department of Defense: $290,000,
(iii) NATO, industry, State of Colorado, and other sources: $139,309.
- Source: Department of Natural Resources -- State of Colorado.
Program: Colorado Oil and Gas Conservation Commission (COGCC).
Title: Flowline Risk Review: Risk analysis and monitoring of
upstream oil, gas, and water flowlines.
Lead PI: W. Fleckenstein.
Co-PIs: W. Hereman and S. Bandyopadhyay.
Submitted: May 18, 2018.
Proposal Number: CT PHAA 2018*03557; CMS #110649.
Amount: $36,099.
Period: 05/25/2018-12/31/2018.
Students Involved: A. Thomas, C. Brown, and M. Merritt,
undergraduate students.
- Source: National Science Foundation.
Directorate: Mathematical and Physical Sciences.
Division: Mathematical Sciences.
Program: Computational Mathematics.
Title: A High Order Adaptive Semi-Lagrangian WENO Method for the
Vlasov Equation.
Subcontractor: J. Qui (University of Houston).
Submitted: March 19, 2008.
Award Number: DMS-0914852.
Amount: $253,981.
Period: 07/15/2009-06/30/2013.
Person-Months or % of Effort: Management and reporting.
- Source: National Science Foundation.
Program: Research Experiences for Undergraduates (REU).
Title: Symbolic Software of Lax Pairs of Continuous and Discrete
Completely Integrable Systems with Applications.
Submitted: February 11, 2011.
Award Number: CCF-0830783 (supplement).
Amount: $16,000.
Period: 09/01/2008-08/31/2012.
Students involved: Oscar Aguilar and Sara Clifton, undergraduate students.
- Source: National Science Foundation.
Program: Research Experiences for Undergraduates (REU).
Title: Symbolic Software for Lax Pairs and Conservation Laws of
Continuous and Discrete Integrable Systems.
Submitted: March 12, 2010.
Award Number: CCF-0830783 (supplement).
Amount: $16,000.
Period: 09/01/2008-08/31/2012.
Students involved: Janeen Neri and William Anthony "Tony" McCollom,
undergraduate students.
- Source: National Science Foundation.
Program: Research Experiences for Undergraduates (REU).
Title: Symbolic Software for Lax Pairs and Conservation Laws of
Nonlinear Partial Differential Equations.
Submitted: April 20, 2009.
Award Number: CCF-0830783 (supplement).
Amount: $12,000.
Period: 09/01/2008-08/31/2012.
Students involved: Jacob Rezac, John-Bosco Tran, Travis "Alan" Volz,
undergraduate students.
- Source: National Science Foundation.
Directorate: Computer and Information Science and Engineering (CISE).
Division: Computing and Communications Foundations (CCF).
Program: Numeric, Symbolic and Geometric Computing.
Title: Symbolic Software for Conservation Laws of Multi-Dimensional
Continuous and Discrete Nonlinear Equations.
Award Number: CCF-0830783
Amount: $250,000.
Period: 09/01/2008-08/31/2012.
Person-Months or % of Effort: Summ.: 1 month in Summers 2009, 2010, 2011
and 2012.
- Source: National Research Foundation South Africa.
Division: Information and Communication Technology.
Program: Unlocking the Future.
Title: Radial Basis Functions, Subdivision, and Nonlinear Systems.
Award Number: FA2007032500003.
Co-PI: B. Herbst.
Amount: R744,000 ($106,350), including R20,000 ($2,860) to support
Hereman's research visit.
Period: 01/01/2008-01/01/2011.
Person-Months or % of Effort: 1 month in Spring 2008.
- Source: National Science Foundation.
Program: Research Experiences for Undergraduates (REU).
Title: Design and Implementation of Symbolic Algorithms for
Exact Solutions of Systems of Nonlinear Partial Differential
Equations and Differential-Difference Equations.
Award Number: CCR-9901929 (supplement).
Amount: $12,000.
Period: 07/01/2003-07/31/2004.
Students involved: Adam Ringler and Ryan Sayers, undergraduate students.
- Source: National Science Foundation.
Program: Research Experiences for Undergraduates (REU).
Title: Design and Implementation of Symbolic Algorithms for
Exact Solutions of Systems of Nonlinear Partial Differential
Equations and Differential-Difference Equations.
Award Number: CCR-9901929 (supplement).
Amount: $10,000.
Period: 03/22/2002-07/31/2003.
Students involved: Douglas Baldwin and Jack Sayers, undergraduate students.
- Source: National Science Foundation.
Program: DMS-Infrastructure Program:
Scientific Computing Research Environments for the Mathematical
Sciences (SCREMS).
Title: Scientific Computing Research Environments for the
Mathematical Sciences.
PI: G. Fairweather.
Co-PIs: B. Bialecki, W. Hereman, A. Rockwood, and J. Wang.
Award Number: DMS-0215491.
Amount: $25,000 (excluding cost sharing by CSM with $25,092).
Period: 07/30/2002-07/30/2004.
- Source: National Science Foundation.
Program: Research Experiences for Undergraduates (REU).
Title: Design and Implementation of Symbolic Algorithms for
Exact Solutions of Systems of Nonlinear Partial Differential
Equations and Differential-Difference Equations.
Award Number: CCR-9901929 (supplement).
Amount: $10,000.
Period: 02/02/2001-07/31/2002.
Students involved: Douglas Baldwin and Benjamin Kowalski, undergraduate
students.
- Source: National Science Foundation.
Directorate: Computer and Information Science and Engineering (CISE).
Program: Numeric, Symbolic and Geometric Computation Program.
Title: Symbolic Software for the Study of Integrability of Nonlinear
Partial Differential and Differential-Difference Equations.
Award Number: CCR-9901929.
Amount: $233,645.
Period: 08/15/1999-07/31/2002.
Students involved: Douglas Baldwin, Paul Blanchard, John "Jack" Milwid,
Matthew Porter-Peden, Jack Sayers, Ryan Sayers, and Adam Rangler,
undergraduate students;
Paul Adams and Holly Eklund, graduate students.
- Source: Wolfram Research, Inc.
Program: Visiting Scholar Grants 2000.
Title: Exact Solutions of Nonlinear Partial Differential
Equations.
Amount: airfare, lodging, lifetime free Mathematica software.
Period: 06/00/2000-03/01/2001.
- Source: National Science Foundation.
Program: Research Experiences for Undergraduates (REU).
Title: Research in the Department of Mathematical and Computer
Sciences at the Colorado School of Mines.
Co-PI: G. Fairweather and B. Bath.
Senior Participants: W. Hereman et al.
Award Number: 9912293.
Amount: $49,673.
Period: 06/15/2000-06/14/2003.
Students involved: several undergraduate students.
- Source: Colorado School of Mines.
Program: Technology Fee Committee.
Title: Upgrading the Student PC Laboratory in Mathematical
and Computer Sciences.
Co-PI: X. Wu.
Amount: $7,854.
Period: Academic Year 1999-2000.
Students involved: undergraduate students in MCS courses, all MCS majors.
- Source: National Science Foundation.
Program: DMS-Infrastructure Awards.
Scientific Computing Research Environments for the
Mathematical Sciences (SCREMS).
Title: Computing Environments for Mathematical Sciences Research.
Co-PIs: W. Navidi, B. Bialecki, L. Tenorio, and E. S. Van Vleck.
Award Number: DMS-9872005.
Amount: $37,595 (excluding cost sharing by CSM with $37,110).
Period: 07/15/1998-06/30/2000.
- Source: National Science Foundation.
Program: Research Experiences for Undergraduates (REU).
Title: Research in the Department of Mathematical and Computer
Sciences at the Colorado School of Mines.
PIs: E. Van Vleck and B. Bath.
Co-PIs: B. Bialecki, N. Bleistein, G. Fairweather, W. Hereman,
R. Krishnapurum, M. Misra, W. Navidi, S. Pruess, J. Scales, and L. Tenorio.
Award Number: DMS-9732069.
Amount: $55,000.
Period: 08/01/1998-10/31/1999.
Students involved: several undergraduate students.
- Source: National Science Foundation.
Program: Research Experiences for Undergraduates (REU).
Title: Design and Implementation of Integrability Tests in Mathematica
for Systems of Nonlinear Differential Equations.
Award Number: CCR-9625421 (supplement).
Amount: $5,000.
Period: 05/01/1998-08/31/1999.
Student involved: Michael Colagrosso, undergraduate student.
- Source: Colorado School of Mines.
Program: Curriculum Reform Committee and NSF Programs, Pedagogy and
Process.
Title: Differential Equations: Creating an Applications
Driven Course.
Co-PI: B. Bath.
Amount: $4,996.
Period: Summer and Fall 1997.
Students involved: Nadine Filosi, graduate student.
- Source: Colorado Advanced Software Institute (CASI).
Program: CASI Undergraduate Research Grant Program.
Title: Computational Analysis of Electromagnetic Scattering.
Co-PIs: J. DeSanto and M. Misra.
Amount: $3,000.
Period: Academic Year 1997-1998.
Student involved: Grant Erdmann, undergraduate student.
- Source: Colorado School of Mines.
Program: Technology Fee Committee.
Title: A Student Computing Laboratory in Mathematical and Computer
Sciences.
Co-PI: B. Bath.
Amount: $57,500 (excluding cost sharing of $15,000 by MCS Department).
Period: Fall 1996.
Students involved: undergraduate and graduate students in MCS courses,
all MCS majors.
- Source: National Science Foundation.
Directorate: Computer and Information Science and Engineering (CISE).
Division: Computer-Communications Research.
Program: Numeric, Symbolic and Geometric Computation Program.
Title: Symbolic Software for the Investigation of Nonlinear Partial
Differential Equations.
Award Number: CCR-9625421.
Amount: $87,000 (excluding cost sharing $14,908 from CSM).
Period: 09/15/1996-08/31/1999.
Student involved: Unal Goktas, graduate student.
- Source: National Science Foundation.
Program: Research Experiences for Undergraduates (REU).
Title: Development of a Mathematica Program for the
Painlevé Integrability Test of Nonlinear Differential
Equations.
Award Number: CCR-9300978 (supplement).
Amount: $5,000.
Period: 05/01/1996-08/31/1996.
Student involved: Antonio Miller, undergraduate student.
- Source: Department of Defense.
Program: Multi-disciplinary University Research Initiative (MURI).
Air Force Office of Scientific Research (AFOSR) Computational
Electromagnetics Initiative.
Title: Electromagnetic Scattering from Rough Surfaces.
Co-PIs: J. DeSanto and M. Misra.
Award number: AFOSR Grant F49620-96-1-0039.
Amount: $290,000.
Period: 01/01/1995-12/31/2000.
Students involved: Grant Erdmann, undergraduate student;
Jeffrey Boleng, graduate student.
- Source: National Science Foundation.
Program: DMS-Infrastructure Awards.
Scientific Computing Research Environments for the
Mathematical Sciences (SCREMS).
Title: Mathematical Sciences Computing Research Environment.
Co-PIs: E. Van Vleck, M. Misra, G. Fairweather, and J. Scales.
Award number: DMS-9506603.
Amount: $50,000, matched by CSM with $80,655.
Period: Academic Year 1994-1995.
Students involved: Chris Elmer and Unal Goktas, graduate students.
- Source: National Science Foundation.
Directorate: Computer and Information Science and Engineering (CISE).
Division: Computer-Communications Research.
Program: Numeric, Symbolic and Geometric Computation Program.
Title: Development of Symbolic Software for Nonlinear Partial
Differential Equations.
Award Number: CCR-9300978.
Amount: $69,923 (excluding cost sharing by CSM with $4,000).
Period: 09/01/1993-08/31/1996.
Students involved: Chris Elmer and Unal Goktas, graduate students.
- Source: National Science Foundation.
Program: Instrumentation and Laboratory Improvement (ILI).
Title: Toward making Mathematics a Laboratory Science.
Co-PIs: F. Hagin, B. Bath, R. Underwood, and J. Cohen.
Amount: $43,000 (excluding cosh sharing by CSM with $43,000).
Period: Academic Year 1990-1992.
- Source: Thunder Basin Coal Company, Wright WY.
Program: Advanced Computing.
Title: The Bulldozer Project.
Amount: $12,000 ($5,000 in student support).
Period: 12/01/1990-07/31/1991.
Student involved: William Murphy, graduate student.
At Other Institutions
- Source: North Atlantic Treaty Organization (NATO).
Title: Research Fellowship.
Amount: $7,000 (travel and living expenses) plus salary and benefits for
10 months.
Location: Department of Electrical and Computer Engineering,
University of Iowa, Iowa City, Iowa.
Period: Academic Year 1985-1986.
- Source: North Atlantic Treaty Organization (NATO).
Title: Research Fellowship.
Amount: $6,000 + salary and benefits for 10 months.
Location: Department of Electrical and Computer Engineering,
University of Iowa, Iowa City, Iowa.
Period: Academic Year 1983-1984.
2 Undergraduate Research and
Other Research Projects
- Field Sessions and Research for Undergraduate (REU) Projects
-
Title: Symbolic Computation of Soliton Solutions with a Homogenization
Method.
Program: Research Experiences for Undergraduates (REU).
Location and date: AMS, Colorado School of Mines, Spring and Summer 2012.
Sponsor: Supplemental Award, National Science Foundation.
Supervisors: Willy Hereman.
Student involved: Andrew Cook, undergraduate student.
-
Title: Symbolic Computation of Lax Pairs of Continuous and Discrete
Completely Integrable Systems with Applications.
Program: Research Experiences for Undergraduates (REU).
Location and date: MCS/AMS, Colorado School of Mines, Spring, Summer and
Fall 2011, and Spring 2012.
Sponsor: Supplemental Award, National Science Foundation.
Supervisor: Willy Hereman.
Students involved: Oscar Aguilar, Sara Clifton, undergraduate students.
-
Title: Symbolic Software for Lax Pairs of Continuous and Discrete
Completely Integrable Systems.
Program: Research Experiences for Undergraduates (REU).
Location and date: MCS, Colorado School of Mines, Spring and Summer 2010.
Sponsor: Supplemental Award, National Science Foundation.
Supervisors: Willy Hereman assisted by Terry Bridgman.
Students involved: Janeen Neri, William Anthony "Tony" McCollom, Jacob Rezac,
undergraduate students.
-
Title: Symbolic Software for Lax Pairs and Conservation Laws of
Nonlinear Partial Differential Equations.
Program: Research Experiences for Undergraduates (REU).
Location and date: MCS, Colorado School of Mines, Summer 2009.
Sponsor: Supplemental Award, National Science Foundation.
Supervisors: Willy Hereman assisted by Douglas Poole and Terry Bridgman.
Students involved: Jacob Rezac, John-Bosco Tran, Travis ``Alan" Volz,
undergraduate students.
-
Title: Development of Algorithms and Mathematica Software for
the Symbolic Computation of Conservation Laws of System of
PDEs in Multi-dimensions.
Program: Research Experiences for Undergraduates (REU).
Location and date: MCS, Colorado School of Mines, Summer 2004.
Sponsor: Field Session 2004 and Supplemental Award, National Science
Foundation.
Supervisors: Willy Hereman and Michael Colagrosso.
Students involved: Lindsay Auble, Robert `Scott' Danford,
Forrest Lundstrom, Maxine von Eye, undergraduate students.
-
Title: Development of Algorithms and Mathematica Software for
Higher Euler and Homotopy Operators of Nonlinear Partial Differential
Equations and Differential-Difference Equations.
Program: Research Experiences for Undergraduates (REU).
Location and date: MCS, Colorado School of Mines, Summer 2003.
Sponsor: Field Session 2003 and Supplemental Award, National Science
Foundation.
Clients: W. Hereman and M. Colagrosso.
Students involved: Ingo Kabirschke, Frances Martin, Kara Namanny,
Adam Ringler, and Ryan Sayers, undergraduate students.
-
Title: Design and Implementation of Symbolic Algorithms for
Recursion Operators of Systems of Nonlinear Partial Differential
Equations and Differential-Difference Equations.
Program: Research Experiences for Undergraduates (REU).
Location and date: MCS, Colorado School of Mines, Summer 2002.
Sponsor: Supplemental Award, National Science Foundation.
Supervisor: Willy Hereman.
Students involved: Douglas Baldwin and Jack Sayers, undergraduate students.
-
Title: Design and Implementation of Symbolic Algorithms for
Testing Exact Solutions of Nonlinear Partial Differential Equations.
Program: Research in the Department of Mathematical and Computer
Sciences at the Colorado School of Mines.
Location and date: MCS, Colorado School of Mines, Summer 2002.
Sponsor: Research Experiences for Undergraduates (REU site), National
Science Foundation.
Supervisor: Willy Hereman.
Students involved: Jason Blevins and Jeffrey Heath, undergraduate
students.
-
Title: Implementation of Symbolic Algorithms for Exact Solutions of
Systems of Nonlinear Partial Differential Equations.
Program: Research Experiences for Undergraduates (REU).
Location and date: MCS, Colorado School of Mines, Summer 2002.
Sponsor: Supplemental Award, National Science Foundation.
Supervisor: Willy Hereman.
Students involved: Paul Blanchard, John Milwid, and Matthew Porter-Peden,
undergraduate students.
-
Title: Design and Implementation of Symbolic Algorithms for
Exact Solutions of Systems of Nonlinear Partial Differential
Equations and Differential-Difference Equations.
Program: Research Experiences for Undergraduates (REU).
Location and date: MCS, Colorado School of Mines, Summer 2001.
Sponsor: Supplemental Award, National Science Foundation.
Supervisor: Willy Hereman.
Students involved: Douglas Baldwin and Benjamin Kowalski, undergraduate
students.
-
Title: Symbolic computation of tanh solutions of nonlinear partial
differential equations.
Program: Research in the Department of Mathematical and Computer
Sciences at the Colorado School of Mines.
Location and date: MCS, Colorado School of Mines, Summer 2000.
Sponsor: Research Experiences for Undergraduates (REU site), National
Science Foundation.
Supervisor: Willy Hereman.
Students involved: Steve Formenac, Andrew Menz, and Douglas Baldwin,
undergraduate students.
-
Title: Mathematica implementation of the computation of solitons
via Hirota's bilinear method.
Program: Undergraduate Research.
Location and date: MCS, Colorado School of Mines, Summer 1999.
Sponsor: National Science Foundation.
Supervisor: Willy Hereman.
Student involved: Jeffrey Hanel, undergraduate students.
-
Title: Mathematica implementation of a technique for solving PDEs
through homogenization.
Program: Undergraduate Research.
Location and date: MCS, Colorado School of Mines, Summer 1999.
Sponsor: National Science Foundation.
Supervisor: Willy Hereman.
Student involved: Guy Somberg, undergraduate students.
-
Title: Symbolic computation of tanh and sech solutions of nonlinear
partial differential and differential-difference equations.
Program: Research in the Department of Mathematical and Computer Sciences at
the Colorado School of Mines.
Location and date: MCS, Colorado School of Mines, Summer 1999.
Sponsor: Research Experiences for Undergraduates (REU site),
National Science Foundation.
Supervisor: Willy Hereman.
Students involved: Linda Hong, Ryan Martino and Joel Miller, undergraduate
students.
-
Title: Development of a Mathematica Program for the Painlevé
Integrability Test for Systems of Nonlinear Differential Equations.
Program: Research Experiences for Undergraduates (REU).
Location and date: MCS, Colorado School of Mines, Summer 1998.
Sponsor: Supplemental Award, National Science Foundation.
Supervisor: Willy Hereman.
Student involved: Michael Colagrosso.
-
Title: Development of a Mathematica Program for the Painlevé
Integrability Test for Systems of Nonlinear Differential Equations.
Program: Field Session.
Location and date: MCS, Colorado School of Mines, Summer 1997.
Client: Willy Hereman.
Student involved: Michael Colagrosso.
-
Title: Computational Modeling of Rough Surface Scattering.
Program: MURI Project and Field Session.
Location and date: MCS, Colorado School of Mines, Summer 1996.
Clients: John DeSanto, Willy Hereman, and Manavendra Misra.
Students involved: Grant Erdmann, Amy Sinex, and Colleen Craig,
undergraduate students.
Additional team members: Jeff Boleng and Morrakot Khebchareon, graduate
students.
-
Title: Design of a Mathematica Program for the Painlevé Test.
.
Program: Research Experiences for Undergraduates (REU).
Location and date: MCS, Colorado School of Mines, Summer 1996.
Supervisor: Willy Hereman.
Student involved: Antonio Miller, undergraduate students.
-
Title: Development of a Mathematica Program for the Painlevé
Integrability Test for Nonlinear Differential Equations.
Program: Field Session.
Location and date: MCS, Colorado School of Mines, Summer 1995.
Client: Willy Hereman.
Students involved: Tracy Otto and Antonio Miller, undergraduate students.
- Collaborative Research Projects on Wavelets and Diffusion Maps
(including software design)
- Barend Herbst,
Department of Mathematics, Division of Applied Mathematics,
University of Stellenbosch, Matieland, South Africa.
-
Collaborative Research Projects on Integrability of
Partial Differential Equations (PDEs),
Differential-Difference Equations (DDEs),
and Partial Difference Equations:
Symmetries, Conservation Laws, Lax Pairs, Special Solutions
(including software design)
-
Evelyne Hubert, Institut National de Recherche en Informatique et en
Automatique (INRIA),
Sophia Antipolis, France.
-
Pavlos Xenitidis,
School of Mathematics, Statistics, and Actuarial Science,
University of Kent, Canterbury, U.K.
-
Ünal Göktas,
formerly: Department of Computer Engineering,
Turgut Özal University, Ankara, Turkey.
Consultant for Wolfram Research, Inc., Champaign,
Illinois (location: Ankara, Turkey).
-
Frank Verheest,
Department of Mathematical Physics and Astronomy Research,
University of Ghent, Belgium.
- Peter Hydon, Department of Mathematics, University of Surrey,
Guildford, U.K.
-
Barend Herbst,
Department of Applied Mathematics,
Stellenbosch University, Stellenbosch, Matieland, South Africa.
- Reinout Quispel and Peter Van der Kamp, Department of Mathematics,
La Trobe University, Melbourne, Australia.
- Michel Grundland,
Centre de Recherches Mathématiques,
Université de Montréal,
Montréal, Québec, Canada.
- Bernard Deconinck,
Department of Applied Mathematics,
University of Washington, Seattle.
- Mark Hickman (sabbatical visitor, February 4-June 10, 2002 and
August 1-November 1, 2011),
Department of Mathematics and Statistics,
University of Canterbury, Christchurch, New Zealand.
- Jan Sanders (and Jing Ping Wang),
Department of Mathematics and Computer Science,
Free University, Amsterdam, The Netherlands.
- Willy Malfliet, Department of Physics,
University of Antwerp, Antwerp, Belgium.
- Stephen Anco and Thomas Wolf, Department of Mathematics, Brock
University, St. Catharines, Ontario, Canada.
Willy Hereman
Last updated: Sunday, February 25, 2024 at 10:05p.m.