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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…
math.NA2018★ 7 cited
Moving Frames and Noether's Finite Difference Conservation Laws I
E. L. Mansfield, A. Rojo-Echeburua, L. Peng +1
We consider the calculation of Euler--Lagrange systems of ordinary difference equations, including the difference Noether's Theorem, in the light of the recently-developed calculus…