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Simple bespoke preservation of two conservation laws

Frasca-Caccia, Gianluca, Hydon, Peter E. (2018) Simple bespoke preservation of two conservation laws. IMA Journal of Numerical Analysis, . ISSN 0272-4979. E-ISSN 1464-3642. (doi:10.1093/imanum/dry087) (KAR id:70284)

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Abstract

Conservation laws are among the most fundamental geometric properties of a partial differential equation

laws belong to the kernel of the Euler operator, an observation that was first used recently to

the complexity of the symbolic computations has limited the effectiveness of this approach. The current

illustrate the simplified approach, we derive bespoke finite difference schemes that preserve two discrete

tests show that these schemes are robust and highly accurate compared to others in the literature.

Item Type: Article
DOI/Identification number: 10.1093/imanum/dry087
Uncontrolled keywords: Finite difference methods; discrete conservation laws; KdV equation; nonlinear heat equation;porous medium equation.
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science
Depositing User: Peter Hydon
Date Deposited: 22 Nov 2018 16:23 UTC
Last Modified: 06 Feb 2020 04:18 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/70284 (The current URI for this page, for reference purposes)
Frasca-Caccia, Gianluca: https://orcid.org/0000-0002-4703-1424
Hydon, Peter E.: https://orcid.org/0000-0002-3732-4813
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