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Abstract: Spurious long term solutions of a finite-difference method for a hyperbolic conservation law with a general nonlinear source term are studied. (Update)
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1.0: Runge-Kutta Solutions of a Hyperbolic Conservation Law.. - Aves, Griffiths, Higham (1998) (Correct)
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BibTeX entry: (Update)
@misc{ with-rungekutta,
author = "Conservation Law With",
title = "Runge--Kutta Solutions of a Hyperbolic",
url = "citeseer.ist.psu.edu/623919.html" }
Citations (may not include all citations):113 Difference Methods for Initial Value Problems (context) - Richtmyer, Morton - 1967
79 Finite Difference Schemes and Partial Differential Equations (context) - Strikwerda - 1989
43 Numerical Methods for Ordinary Differential Systems (context) - Lambert - 1991
36 Eigenvalues and pseudo-eigenvalues of Toeplitz matrices (context) - Reichel, Trefethen - 1992
27 A study of numerical methods for hyperbolic conservation law.. (context) - Leveque, Yee - 1990
27 Stability of the method of lines (context) - Reddy, Trefethen - 1992
23 Period three implies chaos (context) - Li, Yorke - 1975
22 Robust difference approximation of stiff inviscid detonation.. (context) - Engquist, ogreen - 1991
19 A class of high-resolution explicit and implicit shock-captu.. (context) - Yee - 1989
18 Stability and dynamics of numerical methods for nonlinear or.. (context) - Iserles - 1990
14 A unified approach to spurious solutions introduced by time .. (context) - Iserles, Peplow et al. - 1991
13 Spurious solutions of numerical methods for initial value pr.. (context) - Humphries - 1993
12 On spurious asymptotic numerical solutions of explicit Runge.. (context) - Griffiths, Sweby et al. - 1992
11 Does error control suppress spuriosity (context) - Aves, Griffiths et al. - 1997
10 Equilibria of RungeKutta methods (context) - Hairer, Iserles et al. - 1990
[Article contains additional citations not shown here]
Documents on the same site (http://www.maths.dundee.ac.uk:8080/~dfg/homepage.html):
The "No Boundary Condition" Outflow Boundary Condition - Griffiths (Correct)
Equidistributing Grids - Griffiths, Ross (2001) (Correct)
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