Monotonicity Conditions for Multirate and Partitioned Explicit Runge-Kutta Schemes

DOI10.1007/978-3-642-33221-0_11zbMath1263.65089OpenAlexW1864996834MaRDI QIDQ4915537

A. Mozartova, Valeriu Savcenco, Willem H. Hundsdorfer

Publication date: 10 April 2013

Published in: Notes on Numerical Fluid Mechanics and Multidisciplinary Design (Search for Journal in Brave)

Full work available at URL: https://research.tue.nl/nl/publications/76dd88cc-7905-4662-b79a-4d5a2b8e6af3

zbMATH Keywords

stabilityconsistencyconservation lawsmaximum principlessemidiscretizationmultirate schemespartitioned Runge-Kutta methodtotal variation diminishing property

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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