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20132025
most citedEnergy conservation issues in the numerical solution of the semilinear wave equation

86 citations · 150 across the 14 of their papers we have counts for

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Showing 2018Show all

2 papers · 1 filter

math.NA2018★ 3 cited

Bespoke finite difference methods that preserve two local conservation laws of the modified KdV equation

Gianluca Frasca-Caccia

By exploiting the fact that conservation laws form the kernel of a discrete Euler operator, we use a recently introduced symbolic-numeric approach to construct a new class of finit…

math.NA2018

Simple bespoke preservation of two conservation laws

Gianluca Frasca-Caccia, Peter E. Hydon

Conservation laws are among the most fundamental geometric properties of a partial differential equation (PDE), but few known finite difference methods preserve more than one conse…