

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

Publications
 Journal articles and conference proceedings:
 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 TwoPhase Mixture Model of Detonation Diffraction with Compliant Confinement, Comptes Rendus Mathematique, 340 (2012), 804817.
 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), 60126050.
 D.W. Schwendeman, A.K. Kapila and W.D. Henshaw, A comparative study of two macroscale models of condensedphase explosives, IMA J. Applied Math., 77 (2012), 217.
 M. Ozlem, D.W. Schwendeman, A.K. Kapila and W.D. Henshaw, A numerical study of shockinduced cavity collapse, Shock Waves, 22 (2012), 89117.
 J.W. Banks, W.D. Henshaw and D.W. Schwendeman, Deforming composite grids for solving fluid structure problems, J. Comput. Physics, 231 (2012), pp. 35183547.
 D.W. Schwendeman, A.K. Kapila and W.D. Henshaw, A Study of Detonation Diffraction and Failure for a Model of Compressible TwoPhase Reactive Flow, Combust. Theory and Modeling, 14 (2010), pp. 331366. (PDF file)
 W.D. Henshaw and D.W. Schwendeman, Parallel computation of threedimensional flows using overlapping grids with adaptive mesh refinement, J. Comput. Physics, 227 (2008), pp. 74697502. (PDF file)
 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. 769808. (PDF file)
 D.W. Schwendeman, C.W. Wahle and A.K. Kapila, A study of detonation evolution and structure for a model of compressible twophase reactive flow, Combust. Theory and Modeling, 12 (2008), pp. 159204. (PDF file)
 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 ignitionandgrowth model, Proc. 13th International Detonation Symposium, to appear. (PDF file)
 J.W. Banks, D.W. Schwendeman, A.K. Kapila and W.D. Henshaw, A highresolution Godunov method for compressible multimaterial flow on overlapping grids, J. Comput. Physics, 223 (2007), pp. 262297. (PDF file)
 A.K. Kapila, D.W. Schwendeman, J.B. Bdzil and W.D. Henshaw, A study of detonation diffraction in the ignitionandgrowth model, Combust. Theory and Modeling, 11 (2007), pp. 781822. (PDF file)
 W.D. Henshaw and D.W. Schwendeman, Moving overlapping grids with adaptive mesh refinement for highspeed reactive and nonreactive flow, J. Comput. Physics, 216 (2006), pp. 744779. (PDF file)
 D.W. Schwendeman, C.W. Wahle and A.K. Kapila, The Riemann problem and a high resolution Godunov method for a model of compressible twophase flow, J. Comput. Physics, 212 (2006), pp. 490526. (PDF file)
 L.J. Borucki, T. Witelski, C. Please, P.R. Kramer and D.W. Schwendeman,
A theory of pad conditioning for chemicalmechanical polishing, J. Engineering Mathematics, 50 (2004), pp. 124. (PDF file)
 A.K. Kapila and D.W. Schwendeman, Detonation initiation: modelling, computation and mechanisms, Proceedings of the International Symposium on Advances in Computational Heat Transfer, Bergen, Norway, April 1924, 2004.
 W.D. Henshaw and D.W. Schwendeman, An adaptive numerical method for
highspeed reactive flow on overlapping grids, J. Comput. Physics, 191 (2003), pp. 420447. (PDF file)
 A.K. Kapila, D.W. Schwendeman, J.J. Quirk and T. Hawa, Mechanisms of
detonation formation due to a temperature gradient, Combustion Theory and
Modeling, 6 (2002), pp. 553594. (PDF file)
 D.G. Thakurta, D.W. Schwendeman, R.J. Gutmann, S. Shankar, L. Jiang and W.N.
Gill, Threedimesional waferscale copper chemicalmechanical planarization
model, Thin Solid Films, 414 (2002), pp. 7890. (PDF file)
 D.W. Schwendeman, On converging shock waves of spherical and polyhedral
form, J. Fluid Mech., 454 (2002), pp. 365386. (PDF file)
 A.D. Fitt, P.D. Howell, J.R. King, C.P. Please and D.W. Schwendeman,
Multiphase flow in a roll press nip, Euro. J. Appl. Math., 13 (2002),
pp. 225259. (PDF file)
 D.W. Schwendeman and A.K. Kapila, Effect of thermal nonhomogeneity on the
occurrence of thermal explosion or detonation in an annular cookoff,
Proceedings of the Twelfth Symposium (International) on Detonation, San
Diego, CA, 2002.
 D.G. Thakurta, C.L. Borst, D.W. Schwendeman, R.J. Gutmann and W.N. Gill,
Threedimensional chemicalmechanical planarization slurry flow model based on
lubrication theory, J. Electrochemical Society, 148 (2001), pp. G207G214. (PDF file)
 H.G. Hornung and D.W. Schwendeman, Oblique shock reflection from an axis
of symmetry: Shock dynamics and relation to the Guderley singularity,
J. Fluid Mech., 438 (2001), pp. 231245. (PDF file)
 D.G. Thakurta, C.L. Borst, D.W. Schwendeman, R.J. Gutmann, and W.N. Gill,
Pad porosity, compressibility and slurry delivery effects in chemicalmechanical planarization: modeling and experiments, Thin Solid Films,
366 (2000), pp. 181190. (PDF file)
 S. Sundararajan, D.G. Thakurta, D.W. Schwendeman, S.P. Murarka, and W.N. Gill,
Twodimensional waferscale chemicalmechanical planarization models
based on lubrication theory and mass transport, J. Electro. Society,
146 (1999), pp. 761766. (PDF file)
 D.W. Schwendeman, A higher order Godunov method for the hyperbolic
equations modeling shock dynamics, Proc. Royal Society Lond., A455 (1999), pp. 12151233. (PDF file)
 B.L. Bihari and D.W. Schwendeman, Multiresolution schemes for the
reactive Euler equations, J. Comput. Physics, 154 (1999), pp. 197230.
 S.A. Triantafillou, D.W. Schwendeman, and J.D. Cole, Optimization of
conical wings in hypersonic flow, J. Theoret. and Comput. Aerodynamics,
12 (1998), pp. 219232.
 D.W. Schwendeman, A front dynamics approach to curvaturedependent
flow, SIAM J. Applied Math, 56 (1996), pp. 15231538.
 D.W. Schwendeman, M.C.A. Kropinski and J.D. Cole, An analytical
and numerical study of optimal critical airfoils, J. Applied Math and
Mech. (ZAMM), 76 (1996), pp. 365368.
 M.C.A. Kropinski, D.W. Schwendeman, and J.D. Cole, Hodograph design
of lifting airfoils with high critical Mach numbers, J. Theoret. and
Comput. Aerodynamics, 7 (1995), pp. 173188.
 C.P. Please, D.W. Schwendeman, and P.S. Hagan, Ohmic heating of
foods during aseptic processing, IMA J. of Mathematics Applied to
Business and Industry, 5 (1995), pp. 283301.
 D.W. Schwendeman, Accuracy of shock wave propagation using
geometrical shock dynamics, Proc. 20th International Symp. on Shock
Waves, Pasadena, California, July 2328, 1995.
 P.S. Hagan, C.P. Please, and D.W. Schwendeman, Lightoff behavior of
catalytic converters, SIAM J. Appl. Math., 54 (1994), pp. 7292.
 D.W. Schwendeman, A new numerical method for shock wave propagation
based on geometrical shock dynamics, Proc. Royal Society, A441
(1993), pp. 331341.
 D.W. Schwendeman, M.C.A. Kropinski, and J.D. Cole, On the
construction and calculation of optimal nonlifting critical airfoils,
J. Appl. Math. and Phys. (ZAMP), 44 (1993), pp. 556571.
 R. Akbar, D.W. Schwendeman, J.E. Shephard, R.L. Williams, and G.O.
Thomas, Wave shaping channels for gaseous detonations,
Proc. 19th International Symp. on Shock Waves, Marseille, France, July
2630, 1993.
 C.C. Lim, J.M. Pimbley, C. Schmeiser, and D.W. Schwendeman, Rotating
waves for semiconductor inverter rings, SIAM J. Appl. Math., 52
(1992), pp. 671690.
 J.D. Cole, M.C.A. Kropinski and D.W. Schwendeman, A study of
critical airfoils, Proc. International Symp. on C.F.D., Davis, CA, 1991.
 D.W. Schwendeman, Numerical shock propagation using a full potential
equation, Proc. International Symp. on C.F.D., Davis, CA, 1991.
 D.W. Schwendeman, Nonlinear diffusion of impurities in
semiconductors, J. Appl. Math. and Phys. (ZAMP), 41 (1990),
pp. 607627.
 J.D. Cole and D.W. Schwendeman, Hodograph design of shockfree
transonic bodies, Proc. 3rd International Conf. on
Hyperbolic Problems, Uppsala, Sweden 1990.
 D.W. Schwendeman, A numerical scheme for shock propagation in three
dimensions, Proc. Royal Society, A416 (1988), pp. 179198.
 D.W. Schwendeman, Numerical shock propagation in nonuniform media,
J. Fluid Mech., 188 (1988), pp. 383410.
 D.W. Schwendeman and G.B. Whitham, On converging shock waves,
Proc. Royal Society, A413 (1987), pp. 297311.
 W.D. Henshaw, N.F. Smyth and D.W. Schwendeman, Numerical
shock propagation using geometrical shock dynamics, J. Fluid Mech.,
171 (1986), pp. 519545.
 Book chapers and reports:
 T. Witelski, D.W. Schwendeman and P. Evans, Analysis of pressurized porous air bearings, in Proc. 20th Workshop on Mathematical Problems in Industry, Newark, Delaware, June 2125, 2004.
 J.A. Pelesko and D.W. Schwendeman, Optimal wear for a laying pipe, in Proc. 19th Workshop on Mathematical Problems in Industry, Worcester, Massachusetts, June 26, 2003.
 D.W. Schwendeman, Dynamics of Automotive Catalytic Converters, in Modeling: Case Studies from Industry, Cambridge University Press, 2001.
 J. Abbott, et al, Boundary layers and material deformation in fiber drawing, Proc. 17th Workshop on Mathematical Problems in Industry, Troy, New York, June 48, 2001.
 P. Kramer, et al, Interaction of ocean waves with a wave generated
by a surfing ship, Proc. 16th Workshop on Mathematical Problems in
Industry, Newark, Delaware, June 59, 2000.
 A. Fitt, P. Howell, C. Please, D. Schwendeman, and J. Skelton, Dynamics of a roll press nip, Proc. 15th Workshop on Mathematical Problems in
Industry, Newark, Delaware, June 711, 1999.
 D. Edwards, A. Fitt, P. Howell, J. King, C. Please, D. Schwendeman, and
T. Witelski, Analysis of vapor and liquid flow in packed columns,
Proc. 14th Workshop on Mathematical Problems in Industry, Troy, New York,
June 812, 1998.
 J. Chapman, F. Hendriks, A. Fitt, D. Schwendeman, and T. Witelski,
Optimization of a flexible cable in computer hard disk design,
Proc. 13th Workshop on Mathematical Problems in Industry, Troy, New York,
June 913, 1997.
 D.W. Schwendeman, Hodograph Design in Transonic Flow, in Mathematics is for Solving Problems: A volume in honor of Julian Cole on his 70th birthday, SIAM, 1996.
 J. Abbott, J. Chapman, A. Fitt, J. King, C. Please, and D. Schwendeman,
Sintering of nonuniform porous materials, Proc. 12th Workshop on
Mathematical Problems in Industry, Troy, New York, June 1014, 1996.
 L.G. dePhilis, M.F. Hurwitz, C.P. Please, and D.W. Schwendeman, Gas
jet cleaning of filters, Proc. 11th Workshop on Mathematical Problems in
Industry, Albuquerque, New Mexico, June 1216, 1995.


Coordinates
Donald Schwendeman
Department of Mathematical Sciences
Rensselaer Polytechnic Institute
110 8th Street
Troy, New York 12180
Phone: (518) 2762647
Fax: (518) 2764824
Email: schwed@rpi.edu

