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math.NA2019
Numerical preservation of multiple local conservation laws
Gianluca Frasca-Caccia, Peter E. Hydon
There are several well-established approaches to constructing finite difference schemes that preserve global invariants of a given partial differential equation. However, few of th…
math.NA2019
Locally conservative finite difference schemes for the modified KdV equation
Gianluca Frasca-Caccia, Peter E. Hydon
Finite difference schemes that preserve two conservation laws of a given partial differential equation can be found directly by a recently-developed symbolic approach. Until now, t…