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Professor of Mathematics; Director of the Computational Fluid Dynamics Division
Ph.D. 1982 (mathematics), Stanford; B.S. 1977 (mathematics), Massachusetts Institute of Technology.
Email:
Personal Homepage: http://jonathangoodman.net/
Research Interests: Numerical analysis, fluid dynamics, computational physics, financial mathematics.
Affiliations: Editorial Board, Communications on Pure and Applied Mathematics; Journal of Computational Physics.
Fellowships/Honors: National Science Foundation Presidential Young Investigator Award, 1986; Alfred P. Sloan Foundation Fellowship, 1986-1987; Monroe Martin Prize, 1986.
Selected Works:
Random walk interpretations of classical iteration methods, with Neal Hadras. Lin. Alg. Appl., 216. 1995. 61-79.
Stability of the Kuramoto-Sivashinsky and related systems. Comm. Pure Appl. Math., 47. 1994. 293-306.
Multi-grid Monte Carlo III, with Edwards, R., S. Ferreira and A. Sokal. Nuclear Physics B, 320. 1992. 621-664.
Viscous limits for piecewise-smooth solutions to systems of conservation laws, with Z. Xin. Arch. Rat. Mech. Anal., 121. 1992. 235-265.
Stability of viscous scalar shock fronts in several dimensions. Trans. Amer. Math. Soc., 311. 1989. 683-695.
On the stability of the Ethernet, with A. Greenberg, N. Madras and P. March. J. Association of Computing Machinery, 35. 1988. 579-602.
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