Where to contact me:
David Gottlieb
Division of Applied Mathematics
Box F. Brown University
Providence RI 02912
Tel: (401) 863-2266 (work)
FAX: (401) 863-1355
David_Gottlieb
Brown.edu
Publications
D. Gottlieb and Wai Sun Don, Talk given at Dundee (25Mb) [PowerPoint]
M.S. Min and D. Gottlieb, Domain Decomposition Spectral Approximations for an Eigenvalue Problem with a Piecewise Constant Coefficient, SIAM J. Numer. Anal.,
Vol. 43, No. 2, pp. 502–520 [pdf]
W.S. Don, D. Gottlieb, C.W. Shu, O. Shilling, L. Jameson, Numerical Convergence Study of Nearly-Incompressible, Inviscid Taylor-Green Vortex Flow, Journal of Scientific Computing, Vol. 24, No. 1, July 2005 [pdf]
Q. Y. Chen, D. Gottlieb, and J. S. Hesthaven, Spectral Methods Based on Prolate Spheroidal Wave Functions for Hyperbolic PDE's. SIAM J. Numer. Anal. Vol. 43, No. 5, pp. 1912–1933 [pdf]
M. S. Min and D. Gottlieb, On the Convergence of the Fourier Approximation for Eigenvalues and Eigenfunctions of Discontinuous Problems, SIAM J. Numer. Anal.,
Vol. 40, No. 6, pp. 2254–2269 [pdf]
A. Ditkowski and D. Gottlieb, On the Engquist Majda Absorbing Boundary Conditions for Hyperbolic Systems, Contemporary Mathematics [pdf]
D. Gottlieb and R. Temam, Spatial Discretization of the Dusty Gas Equations, [pdf]
M. H. Carpenter, D. Gottlieb, and C. W. Shu, On the Conservation and Convergence to Weak Solutions of Global Schemes, Journal of Scientific Computing, Vol. 18, No. 1, February 2003. [pdf]
S. Abarbanel, D. Gottlieb, and J. S. Hesthaven, Long Time Behavior of the Perfectly Matched Layer Equations in Computational Electromagnetics, Journal of Scientific Computing, Vol. 17, Nos. 1–4, December 2002 [pdf]
D. Gottlieb and J. S. Hesthaven, Spectral Methods for Hyperbolic Problems, Journal of Computational and Applied Mathematics, Vol. 128, 83–131, 2001.[pdf]