Conservation properties of iterative methods for implicit discretizations of conservation laws

DOI10.1007/s10915-022-01923-7zbMath1501.65046arXiv2106.10088OpenAlexW4284886798MaRDI QIDQ2161820

Philipp Birken, Viktor Linders

Publication date: 5 August 2022

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.10088

zbMATH Keywords

conservation lawsNewton's methoditerative methodsKrylov subspace methodsRunge-KuttaRichardson iterationLax-Wendroff theoremconservative numerical methodspseudo-time iterationsJacobi and Gauss-Seidel methods

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Iterative numerical methods for linear systems (65F10) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Weak solutions to PDEs (35D30) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22) Finite volume methods for boundary value problems involving PDEs (65N08)

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Resolving entropy growth from iterative methods ⋮ High order conservative schemes for the generalized Benjamin-Ono equation on the unbounded domain

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