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MATH 1900
MATH 6840

GSMM Camps:

GSMMC 2009
GSMMC 2008
GSMMC 2007
GSMMC 2006
GSMMC 2005
GSMMC 2004

MPI Workshops:

MPI 2009
MPI 2008
MPI 2007
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Mathematical Sciences
Donald Schwendeman

Professor
Ph.D. California Institute of Technology
Computational and Applied Mathematics


Research

  • Interests:

    • Numerical methods for partial differential equations.
    • Gas dynamics and wave propagation.
    • Multiscale and multiphase reactive flow.
    • Adaptive mesh refinement and parallel algorithms.
    • Mathematical modeling and computations in industrial applications.

  • Collaborators:

    • Ash Kapila, Rensselaer Polytechnic Institute.
    • Bill Henshaw, Lawrence Livermore National Laboratory.
    • Jeff Banks, Lawrence Livermore National Laboratory.

  • Recent publications (full list with links):

    • W.D. Henshaw and D.W. Schwendeman, Parallel computation of three-dimensional flows using overlapping grids with adaptive mesh refinement, J. Comput. Physics, 227 (2008), pp. 7469-7502.

    • J.W. Banks, D.W. Schwendeman, A.K. Kapila and W.D. Henshaw, A study of detonation propagation and diffraction with compliant confinement, Combust. Theory and Modeling, 12 (2008), pp. 769-808.

    • D.W. Schwendeman, C.W. Wahle and A.K. Kapila, A study of detonation evolution and structure for a model of compressible two-phase reactive flow, Combust. Theory and Modeling, 12 (2008), pp. 159-204.

    • G. de Oliveira, A.K. Kapila, D.W. Schwendeman, J.B. Bdzil, W.D. Henshaw and C.M. Tarver, Detonation diffraction, dead zones and the ignition-and-growth model, Proc. 13th International Detonation Symposium, to appear.

    • J.W. Banks, D.W. Schwendeman, A.K. Kapila and W.D. Henshaw, A high-resolution Godunov method for compressible multi-material flow on overlapping grids, J. Comput. Physics, 223 (2007), pp. 262-297.

    • A.K. Kapila, D.W. Schwendeman, J.B. Bdzil and W.D. Henshaw, A study of detonation diffraction in the ignition-and-growth model, Combust. Theory and Modeling, 11 (2007), pp. 781-822.

    • W.D. Henshaw and D.W. Schwendeman, Moving overlapping grids with adaptive mesh refinement for high-speed reactive and nonreactive flow, J. Comput. Physics, 216 (2006), pp. 744-779.

    • D.W. Schwendeman, C.W. Wahle and A.K. Kapila, The Riemann problem and a high resolution Godunov method for a model of compressible two-phase flow, J. Comput. Physics, 212 (2006), pp. 490-526.


Course Information

  • Fall semester, 2009

  • Spring semester, 2009

  • Fall semester, 2008
    • Math 2400 Introduction to Differential Equations

  • Spring semester, 2008


Modeling Camps and Industry Workshops

  • Overview of the GSMM Camp and MPI Workshop

  • Graduate Student Mathematical Modeling (GSMM) Camps

    • GSMMC 2009, June 9-12, 2009 at Rensselaer Polytechnic Institute.
    • GSMMC 2008, June 10-13, 2008 at Rensselaer Polytechnic Institute.
    • GSMMC 2007, June 5-8, 2007 at Rensselaer Polytechnic Institute.
    • GSMMC 2006, June 6-9, 2006 at Rensselaer Polytechnic Institute.
    • GSMMC 2005, June 7-10, 2005 at Rensselaer Polytechnic Institute.
    • GSMMC 2004, June 15-18, 2004 at Rensselaer Polytechnic Institute.

  • Mathematical Problems in Industry (MPI) Workshops

    • MPI 2009, June 15-19, 2009 at the University of Delaware.
    • MPI 2008, June 16-20, 2008 at Worcester Polytechnic Institute.
    • MPI 2007, June 11-15, 2007 at the University of Delaware.
    • MPI 2006, June 12-16, 2006 at Olin College.
    • MPI 2005, June 13-17, 2005 at Worcester Polytechnic Institute.
    • MPI 2004, June 21-25, 2004 at the University of Delaware.
    • MPI 2003, June 2-6, 2003 at Worcester Polytechnic Institute.
    • MPI 2002, June 3-7, 2002 at Rensselaer Polytechnic Institute.
    • MPI 2001, June 4-8, 2001 at Rensselaer Polytechnic Institute.
    • MPI 2000, June 5-9, 2000 at the University of Delaware.
    • MPI 1999, June 7-11, 1999 at the University of Delaware.


Contact Information

Donald Schwendeman
Department of Mathematical Sciences
Rensselaer Polytechnic Institute
110 8th Street
Troy, New York 12180

Phone: (518) 276-2647
Fax: (518) 276-4824
Email: schwed@rpi.edu

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