Strong stability preserving explicit peer methods

DOI10.1016/j.cam.2015.11.005zbMath1328.65151OpenAlexW2215383554MaRDI QIDQ898995

Zoltán Horváth, Helmut Podhaisky, Rüdiger Weiner

Publication date: 21 December 2015

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2015.11.005

zbMATH Keywords

SSPpositivitynonstiff initial value problemsexplicit peer methods

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (10)

Strong stability preserving explicit peer methods for discontinuous Galerkin discretizations ⋮ Two-step peer methods with equation-dependent coefficients ⋮ Strong stability preserving transformed DIMSIMs ⋮ Optimally zero stable explicit peer methods with variable nodes ⋮ Explicit two-step peer methods with reused stages ⋮ Strong Stability Preserving Runge-Kutta Methods Applied to Water Hammer Problem ⋮ Strong stability preserving Runge-Kutta and linear multistep methods ⋮ Time-accurate and highly-stable explicit peer methods for stiff differential problems ⋮ Efficient SSP low-storage Runge-Kutta methods ⋮ Strong stability of an optimal control hybrid system in fed-batch fermentation

Cites Work

• Two-step peer methods with continuous output
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• A family of embedded Runge-Kutta formulae
• Contractivity of Runge-Kutta methods
• Superconvergent explicit two-step peer methods
• Explicit two-step peer methods
• Explicit strong stability preserving multistep Runge–Kutta methods
• Optimal Explicit Strong-Stability-Preserving General Linear Methods
• Computation of optimal monotonicity preserving general linear methods
• Strong Stability Preserving Two-step Runge–Kutta Methods
• Solving Ordinary Differential Equations I
• Stepsize Conditions for General Monotonicity in Numerical Initial Value Problems
• General linear methods
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