Balancing Source Terms and Flux Gradients in High-Resolution Godunov Methods: The Quasi-Steady Wave-Propagation Algorithm (1998)

by Randall J. Leveque
Venue:J. Comput. Phys
Citations:54 - 5 self

Documents Related by Co-Citation

65 A well-balanced scheme for the numerical processing of source terms in hyperbolic equations – J M Greenberg, A Y Leroux - 1996
65 Wave Propagation Algorithms for Multidimensional Hyperbolic Systems – Randall J. LeVeque - 1997
28 A wave-propagation method for conservation laws and balance laws with spatially varying flux functions – Derek S. Bale, Randall J. Leveque, Sorin Mitran, James A. Rossmanith - 2002
74 Nonlinear stability of finite volume methods for hyperbolic conservation laws, and well-balanced schemes for sources – F Bouchut - 2004
313 Finite Volume Methods for Hyperbolic Problems – R J LeVeque - 2002
509 Approximate riemann solvers, parameter vectors and difference schemes – P Roe - 1981
31 A well-balanced flux-vector splitting scheme designed for hyperbolic systems of conservation laws with source terms – L GOSSE
21 Upwind differencing schemes for hyperbolic conservation laws with source terms, in ``Nonlinear hyperbolic problems – P L ROE - 1987
38 Upwind methods for hyperbolic conservation laws with source terms – A Bermudez, M E Vazquez - 1994
38 Equilibrium schemes for scalar conservation laws with stiff sources – Ramaz Botchorishvili, Benoit Perthame, Alexis Vasseur - 2003
183 Numerical Approximation of Hyperbolic Systems of Conservation – E Godlewski, P-A Raviart - 1996
23 A Class of Approximate Riemann Solvers and Their Relation to Relaxation Schemes – Randall J. Leveque, Marica Pelanti - 2001
11 clawpack software. http://www.amath.washington.edu/~claw – R J LeVeque
43 A kinetic scheme for the Saint-Venant system with a source term – B Perthame, C Simeoni
420 Numerical Methods for Conservation Laws – R J LeVeque - 1992
22 A steady-state capturing method for hyperbolic systems with geometrical source terms – S JIN
21 A Well-Balanced Scheme Using Non-Conservative Products Designed for Hyperbolic Systems of Conservation Laws With Source Terms – Laurent Gosse - 2001
7 Rankine-Hugoniot-Riemann solver considering source terms and multidimensional effects – P Jenny, B Müller - 1998
9 High-resolution finite volume methods for the shallow water equations with bathymetry and dry states – R J LeVeque, D L George - 2004