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MATH 4800

GSMM Camps:

GSMMC 2014
GSMMC 2013
GSMMC 2012
GSMMC 2011
GSMMC 2010

MPI Workshops:

MPI 2014 (NJIT)
MPI 2013 (WPI)
MPI 2012 (UD)
MPI 2011 (NJIT)
MPI 2010 (RPI)
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Mathematical Sciences
Donald Schwendeman

Professor and Department Head
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):

    • D.W. Schwendeman, C.P. Please, B.S. Tilley and F. Hendriks, A homogenization analysis of the compressible flow between a slider and a moving rough surface, IMA J. Appl. Math., (accepted).

    • D.W. Schwendeman, A.K. Kapila and W.D. Henshaw, A Hybrid Two-Phase Mixture Model of Detonation Diffraction with Compliant Confinement, Comptes Rendus Mathematique, 340 (2012), 804-817.

    • D. Appelo, J.W. Banks, W.D. Henshaw and D.W. Schwendeman, Numerical methods for solid mechanics on overlapping grids: linear elasticity, J. Comput. Physics, 231 (2012), 6012-6050.

    • D.W. Schwendeman, A.K. Kapila and W.D. Henshaw, A comparative study of two macro-scale models of condensed-phase explosives, IMA J. Applied Math., 77 (2012), 2-17.

    • M. Ozlem, D.W. Schwendeman, A.K. Kapila and W.D. Henshaw, A numerical study of shock-induced cavity collapse, Shock Waves, 22 (2012), 89-117.

    • J.W. Banks, W.D. Henshaw and D.W. Schwendeman, Deforming composite grids for solving fluid structure problems, J. Comput. Physics, 231 (2012), pp. 3518-3547.

    • D.W. Schwendeman, A.K. Kapila and W.D. Henshaw, A Study of Detonation Diffraction and Failure for a Model of Compressible Two-Phase Reactive Flow, Combust. Theory and Modeling, 14 (2010), pp. 331-366.

    • 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.


Course Information

  • Spring semester, 2014

  • Fall semester, 2013

  • Spring semester, 2013

  • Fall semester, 2012
    • Math 2400 Introduction to Differential Equations


Modeling Camps and Industry Workshops

  • Overview of the GSMM Camp and MPI Workshop

  • Graduate Student Mathematical Modeling (GSMM) Camps

    • GSMMC 2014, June 17-20, 2014 at Rensselaer Polytechnic Institute.
    • GSMMC 2013, June 11-14, 2013 at Rensselaer Polytechnic Institute.
    • GSMMC 2012, June 5-8, 2012 at Rensselaer Polytechnic Institute.
    • GSMMC 2011, June 11-12, 2011 at New Jersey Institute of Technology.
    • GSMMC 2010, June 8-11, 2010 at Rensselaer Polytechnic Institute.
    • 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 2012, June 23-27, 2014 at New Jersey Institute of Technology.
    • MPI 2013, June 17-21, 2013 at Worcester Polytechnic Institute.
    • MPI 2012, June 11-15, 2012 at the University of Delaware.
    • MPI 2011, June 13-17, 2011 at New Jersey Institute of Technology.
    • MPI 2010, June 14-18, 2010 at Rensselaer Polytechnic Institute.
    • 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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