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Mathematical Sciences
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 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. (PDF file)

    • 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. (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. 769-808. (PDF file)

    • 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. (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 ignition-and-growth model, Proc. 13th International Detonation Symposium, to appear. (PDF file)

    • 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. (PDF file)

    • 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. (PDF file)

    • 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. (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 two-phase flow, J. Comput. Physics, 212 (2006), pp. 490-526. (PDF file)

    • L.J. Borucki, T. Witelski, C. Please, P.R. Kramer and D.W. Schwendeman, A theory of pad conditioning for chemical-mechanical polishing, J. Engineering Mathematics, 50 (2004), pp. 1-24. (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 19-24, 2004.

    • W.D. Henshaw and D.W. Schwendeman, An adaptive numerical method for high-speed reactive flow on overlapping grids, J. Comput. Physics, 191 (2003), pp. 420-447. (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. 553-594. (PDF file)

    • D.G. Thakurta, D.W. Schwendeman, R.J. Gutmann, S. Shankar, L. Jiang and W.N. Gill, Three-dimesional wafer-scale copper chemical-mechanical planarization model, Thin Solid Films, 414 (2002), pp. 78-90. (PDF file)

    • D.W. Schwendeman, On converging shock waves of spherical and polyhedral form, J. Fluid Mech., 454 (2002), pp. 365-386. (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. 225-259. (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, Three-dimensional chemical-mechanical planarization slurry flow model based on lubrication theory, J. Electrochemical Society, 148 (2001), pp. G207-G214. (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. 231-245. (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 chemical-mechanical planarization: modeling and experiments, Thin Solid Films, 366 (2000), pp. 181-190. (PDF file)

    • S. Sundararajan, D.G. Thakurta, D.W. Schwendeman, S.P. Murarka, and W.N. Gill, Two-dimensional wafer-scale chemical-mechanical planarization models based on lubrication theory and mass transport, J. Electro. Society, 146 (1999), pp. 761-766. (PDF file)

    • D.W. Schwendeman, A higher order Godunov method for the hyperbolic equations modeling shock dynamics, Proc. Royal Society Lond., A455 (1999), pp. 1215-1233. (PDF file)

    • B.L. Bihari and D.W. Schwendeman, Multiresolution schemes for the reactive Euler equations, J. Comput. Physics, 154 (1999), pp. 197-230.

    • 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. 219-232.

    • D.W. Schwendeman, A front dynamics approach to curvature-dependent flow, SIAM J. Applied Math, 56 (1996), pp. 1523-1538.

    • 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. 365-368.

    • 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. 173-188.

    • 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. 283-301.

    • D.W. Schwendeman, Accuracy of shock wave propagation using geometrical shock dynamics, Proc. 20th International Symp. on Shock Waves, Pasadena, California, July 23-28, 1995.

    • P.S. Hagan, C.P. Please, and D.W. Schwendeman, Light-off behavior of catalytic converters, SIAM J. Appl. Math., 54 (1994), pp. 72-92.

    • D.W. Schwendeman, A new numerical method for shock wave propagation based on geometrical shock dynamics, Proc. Royal Society, A441 (1993), pp. 331-341.

    • 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. 556-571.

    • 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 26-30, 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. 671-690.

    • 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. 607-627.

    • J.D. Cole and D.W. Schwendeman, Hodograph design of shock-free 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. 179-198.

    • D.W. Schwendeman, Numerical shock propagation in non-uniform media, J. Fluid Mech., 188 (1988), pp. 383-410.

    • D.W. Schwendeman and G.B. Whitham, On converging shock waves, Proc. Royal Society, A413 (1987), pp. 297-311.

    • W.D. Henshaw, N.F. Smyth and D.W. Schwendeman, Numerical shock propagation using geometrical shock dynamics, J. Fluid Mech., 171 (1986), pp. 519-545.

  • 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 21-25, 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 2-6, 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 4-8, 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 5-9, 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 7-11, 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 8-12, 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 9-13, 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 non-uniform porous materials, Proc. 12th Workshop on Mathematical Problems in Industry, Troy, New York, June 10-14, 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 12-16, 1995.


Coordinates

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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