An extension and analysis of the Shu-Osher representation of Runge-Kutta methods
Open Access
- 11 June 2004
- journal article
- Published by American Mathematical Society (AMS) in Mathematics of Computation
- Vol. 74 (249) , 201-220
- https://doi.org/10.1090/s0025-5718-04-01664-3
Abstract
In the context of solving nonlinear partial differential equations, Shu and Osher introduced representations of explicit Runge-Kutta methods, which lead to stepsize conditions under which the numerical process is total-variation-diminishing (TVD). Much attention has been paid to these representations in the literature.Keywords
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