The Multiplier Method to Construct Conservative Finite Difference Schemes for Ordinary and Partial Differential Equations

DOI10.1137/140997944zbMath1337.65098arXiv1411.7720OpenAlexW33999846MaRDI QIDQ3462478

Jean-Christophe Nave, Alexander Bihlo, Andy T. S. Wan

Publication date: 15 January 2016

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.7720

zbMATH Keywords

conservation lawfinite volumefinite differencefirst integralmultiplier methodconservativestructure preservingEuler operatorconservation law multiplier

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods for boundary value problems involving PDEs (65N06) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (12)

Conservative integrators for many-body problems ⋮ Invariant variational schemes for ordinary differential equations ⋮ On the development of symmetry-preserving finite element schemes for ordinary differential equations ⋮ Conservative Methods for Dynamical Systems ⋮ Exponentially fitted methods with a local energy conservation law ⋮ Conservative integrators for piecewise smooth systems with transversal dynamics ⋮ Lie symmetries of two-dimensional shallow water equations with variable bottom topography ⋮ Inverse problem on conservation laws ⋮ Invariant conservation law-preserving discretizations of linear and nonlinear wave equations ⋮ Linear gradient structures and discrete gradient methods for conservative/dissipative differential-algebraic equations ⋮ Symmetry-Preserving Finite Element Schemes: An Introductory Investigation ⋮ Numerical conservation laws of time fractional diffusion PDEs

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