Randall J. LeVeque -- Publications and Preprints

The new version of this page has more recent papers.

98-14 Nonlinear Conservation Laws and Finite Volume Methods for Astrophysical Fluid Flow
Randall J. LeVeque, has appeared in Computational Methods for Astrophysical Fluid Flow, by R. J. LeVeque, D. Mihalas, E. Dorfi,and E. Mueller, 27th Saas-Fee Advanced Course Lecture Notes, Edited by O. Steiner and A. Gautschy, Springer-Verlag, 1998. (.ps.gz)

98-13 Wave Propagation Methods for Conservation Laws with Source Terms
Randall J. LeVeque and Derek S. Bale, to appear in Proc. 7'th Intl. Conf. on Hyperbolic Problems, Zurich, February 9-13, 1998. (.ps.gz)

98-12 Balancing Source Terms and Flux Gradients in High-Resolution Godunov Methods: The Quasi-Steady Wave-Propagation Algorithm
Randall J. LeVeque, J. Comput. Phys. 146 (1998) 346-365. ( link to paper) (.ps.gz)

98-11 Moving Mesh Methods for One-Dimensional Conservation Laws Using CLAWPACK
Riccardo Fazio and Randall J. LeVeque, (.ps.gz)
Revised September 2000 (.ps.gz) To appear in Comp. Math. Appl.

98-10 High-Resolution Finite Volume Methods for Acoustics in a Rapidly-Varying Heterogeneous Medium
Tiernan Fogarty and Randall J. LeVeque, to appear in Proc. 4'th Intl. Conf. on Wave Propagation, Golden, Colorado, June 1-5, 1998. (.ps.gz)

Some other recent papers

CLAWPACK and AMRCLAW --- Software for High-Resolution Godunov Methods to appear in Proc. 4'th Intl. Conf. on Wave Propagation, Golden, Colorado, June 1--5, 1998.
CLAWPACK and AMRCLAW --- Software for high-resolution Godunov methods Extended abstract for the Godunov Symposium in May, 1997.
Adaptive Mesh Refinement using Wave-Propagation Algorithms for Hyperbolic Systems with Marsha Berger. SIAM J. Numer. Anal. 35(1998) 2298-2316
A wave-propagation method for three-dimensional hyperbolic conservation laws with Jan Olav Langseth.
Three-dimensional Euler computations using CLAWPACK, with J.O. Langseth.
Immersed interface methods for Stokes flow with elastic boundaries or surface tension, with Z. Li, SIAM J. Sci. Comput. 18 (1997) pp 709-735.
CLAWPACK --- A software package for solving multi-dimensional conservation laws

Recently in print:

Fractional step methods applied to a chemotaxis model, with R. Tyson and L. G. Stern. Journal of Mathematical Biology 41 (2000), 455-475.
Wave propagation algorithms for multi-dimensional hyperbolic systems, J. Comput. Phys. 131 (1997), pp. 327-353.
The Immersed Interface Method for Acoustic Wave Equations with Discontinuous Coefficients with Chaoming Zhang, Wave Motion 25 (1997) 237-263. Figure 4 in the published version is incorrect. The correct figure is available here as a postscript file.
High-resolution Conservative Algorithms for Advection in Incompressible Flow, SIAM J. Numer. Anal. 33(1996), 627-665.

Others on-line:

See also Books and lecture notes
Other reports and software are available to download (or by anonymous ftp from amath.washington.edu) in the directory pub/rjl/papers

Complete list of publications (perhaps not up to date):


98-14	Nonlinear Conservation Laws and Finite Volume Methods for Astrophysical Fluid Flow Randall J. LeVeque, has appeared in Computational Methods for Astrophysical Fluid Flow, by R. J. LeVeque, D. Mihalas, E. Dorfi,and E. Mueller, 27th Saas-Fee Advanced Course Lecture Notes, Edited by O. Steiner and A. Gautschy, Springer-Verlag, 1998. (.ps.gz)

98-13	Wave Propagation Methods for Conservation Laws with Source Terms Randall J. LeVeque and Derek S. Bale, to appear in Proc. 7'th Intl. Conf. on Hyperbolic Problems, Zurich, February 9-13, 1998. (.ps.gz)

98-12	Balancing Source Terms and Flux Gradients in High-Resolution Godunov Methods: The Quasi-Steady Wave-Propagation Algorithm Randall J. LeVeque, J. Comput. Phys. 146 (1998) 346-365. ( link to paper) (.ps.gz)

98-11	Moving Mesh Methods for One-Dimensional Conservation Laws Using CLAWPACK Riccardo Fazio and Randall J. LeVeque, (.ps.gz) Revised September 2000 (.ps.gz) To appear in Comp. Math. Appl.

98-10	High-Resolution Finite Volume Methods for Acoustics in a Rapidly-Varying Heterogeneous Medium Tiernan Fogarty and Randall J. LeVeque, to appear in Proc. 4'th Intl. Conf. on Wave Propagation, Golden, Colorado, June 1-5, 1998. (.ps.gz)