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

• Interests:
  • Numerical methods for partial differential equations.
  • Fluid-structure interaction problems.
  • Electrodynamics and nanophontonics.
  • 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, Rensselaer Polytechnic Institute.
  • Jeff Banks, Rensselaer Polytechnic Institute.
  • Mark Short, Los Alamos National Laboratory.

• Software:
  • Most of the algorithms and research results described in the publications below are available in Overture. The software is freely available at overtureframework.org

• Recent publications (full list with links):
  • J. Gambino, A.K. Kapila and D.W. Schwendeman, Numerical study of multiscale compaction-initiated detonation, Shock Waves, 29 (2019), 1193-219.

  • J.B. Angel, J.W. Banks, W.D. Henshaw, M.J. Jenkinson, A.V. Kildishev, G. Kovacic, L. Prokopeva and D.W. Schwendeman, High-order Accurate Scheme for Maxwell's Equations with a Generalized Dispersive Material Model, J. Comput. Physics, 378 (2019), 411-444.

  • J.W. Banks, W.D. Henshaw, D.W. Schwendeman and Qi Tang, A stable partitioned FSI algorithm for rigid bodies and incompressible flow in three dimensions, J. Comput. Physics, 373 (2018), 455-492.

  • J.W. Banks, W.D. Henshaw, D.W. Schwendeman and Qi Tang, A stable partitioned FSI algorithm for rigid bodies and incompressible flow. Part I: Model Problem Analysis, J. Comput. Physics, 343 (2017), 432-468.

  • J.W. Banks, W.D. Henshaw, D.W. Schwendeman and Qi Tang, A stable partitioned FSI algorithm for rigid bodies and incompressible flow. Part II: General Formulation, J. Comput. Physics, 343 (2017), 469-500.

  • F. Meng, J.W. Banks, W.D. Henshaw and D.W. Schwendeman, CHAMP: A Stable and Accurate Partitioned Algorithm for Conjugate Heat Transfer, J. Comput. Physics, 344 (2017), 51-85.

  • J. Gambino, A.K. Kapila and D.W. Schwendeman, Sensitivity of run-to-detonation distance in practical explosives, Combust. Theory and Modeling, 20 (2016), 1088-1117.

  • L. Li, W.D. Henshaw, J.W. Banks, D.W. Schwendeman and G.A. Main, A stable partitioned FSI algorithm for incompressible flow and deforming beams, J. Comput. Physics, 312 (2016), 272-306.

  • J.W. Banks, W.D. Henshaw, A.K. Kapila and D.W. Schwendeman, An added-mass partition algorithm for fluid-structure interactions of compressible fluids and nonlinear solids, J. Comput. Physics, 305 (2016), 1037-1064.

  • A.K. Kapila, D.W. Schwendeman, J. Gambino, and W.D. Henshaw, A Numerical Study of the Dynamics of Detonation Initiated by Cavity Collapse, Shock Waves, 25 (2015), 545-572

  • 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., 80 (2015), 177-211.

  • J.W. Banks, W.D. Henshaw and D.W. Schwendeman, An analysis of a new stable partitioned algorithm for FSI problems. Part I: Incompressible flow and elastic solids, J. Comput. Physics, 269 (2014), 108-137.

  • J.W. Banks, W.D. Henshaw and D.W. Schwendeman, An analysis of a new stable partitioned algorithm for FSI problems. Part II. Incompressible flow and structural shells, J. Comput. Physics, 268 (2014), 399-416.

• Spring semester, 2020
  • Math 4820 Introduction to Numerical Methods for Differential Equations

• Fall semester, 2019
  • Math 6890 Numerical Methods for Fluid Dynamics

• Spring semester, 2019
  • Math 4500 Methods of PDEs of Math/Physics

• Spring semester, 2018
  • Math 2400 Introduction to Differential Equations

• Overview of the GSMM Camp and MPI Workshop

• Graduate Student Mathematical Modeling (GSMM) Camps
  • GSMMC 2016, June 7-10, 2016 at Rensselaer Polytechnic Institute.
  • GSMMC 2015, June 16-19, 2015 at Rensselaer Polytechnic Institute.
  • 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 2016, June 13-17, 2016 at Duke University.
  • MPI 2015, June 22-26, 2015 at the University of Delaware.
  • MPI 2014, 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.

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