Strong stability preserving general linear methods

DOI10.1007/s10915-014-9961-7zbMath1329.65164OpenAlexW2053962514MaRDI QIDQ898428

Giuseppe Izzo, Zdzisław Jackiewicz

Publication date: 9 December 2015

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

Full work available at URL: https://doi.org/10.1007/s10915-014-9961-7

zbMATH Keywords

monotonicitynumerical examplesgeneral linear methodstwo-step Runge-Kutta methodsstrong stability preservingCourant-Friedrichs-Levy conditionmultistep multistage methodsShu-Osher representation

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (23)

HIGH ORDER EXPLICIT SECOND DERIVATIVE METHODS WITH STRONG STABILITY PROPERTIES BASED ON TAYLOR SERIES CONDITIONS ⋮ Strong stability preserving explicit peer methods for discontinuous Galerkin discretizations ⋮ Strong stability preserving implicit and implicit-explicit second derivative general linear methods with RK stability ⋮ Strong stability preserving transformed DIMSIMs ⋮ Strong stability preserving general linear methods with Runge-Kutta stability ⋮ Efficient inequality-preserving integrators for differential equations satisfying forward Euler conditions ⋮ Transformed implicit-explicit second derivative diagonally implicit multistage integration methods with strong stability preserving explicit part ⋮ Strong stability preserving integrating factor general linear methods ⋮ Strong stability preserving Runge-Kutta and linear multistep methods ⋮ RK-stable second derivative multistage methods with strong stability preserving based on Taylor series conditions ⋮ Strong stability-preserving three-derivative Runge-Kutta methods ⋮ Strong stability preserving second derivative general linear methods based on Taylor series conditions for discontinuous Galerkin discretizations ⋮ Strong stability preserving second derivative general linear methods with Runge-Kutta stability ⋮ Generalized linear multistep methods for ordinary differential equations ⋮ Strong stability preserving implicit-explicit transformed general linear methods ⋮ Starting procedures for general linear methods ⋮ A new class of strong stability preserving general linear methods ⋮ Highly stable implicit-explicit Runge-Kutta methods ⋮ Strong stability preserving second derivative diagonally implicit multistage integration methods ⋮ Transformed implicit-explicit DIMSIMs with strong stability preserving explicit part ⋮ Strong stability preserving IMEX methods for partitioned systems of differential equations ⋮ Strong stability preserving second derivative general linear methods ⋮ STRONG STABILITY PRESERVING MULTISTAGE INTEGRATION METHODS

Uses Software

• RODAS

Cites Work

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