Transformed implicit-explicit second derivative diagonally implicit multistage integration methods with strong stability preserving explicit part

DOI10.1016/j.apnum.2020.04.007zbMath1442.65118OpenAlexW3019909549MaRDI QIDQ2189674

Yanyan Li

Publication date: 16 June 2020

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2020.04.007

zbMATH Keywords

Runge-Kutta stabilitygeneral linear methodssecond derivative methodsstrong stability-preservingIMEX methods

Mathematics Subject Classification ID

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) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Numerical methods for stiff equations (65L04)

Related Items (7)

A new method for high-order boundary value problems ⋮ HIGH ORDER EXPLICIT SECOND DERIVATIVE METHODS WITH STRONG STABILITY PROPERTIES BASED ON TAYLOR SERIES CONDITIONS ⋮ Strong stability preserving implicit and implicit-explicit second derivative general linear methods with RK stability ⋮ Implicit-explicit second derivative general linear methods with strong stability preserving explicit part ⋮ Strong stability preserving integrating factor general linear methods ⋮ RK-stable second derivative multistage methods with strong stability preserving based on Taylor series conditions ⋮ Strong stability preserving second derivative general linear methods based on Taylor series conditions for discontinuous Galerkin discretizations

Uses Software

• ODEPACK
• ImplicitLNLMethods
• imexLNL

Cites Work

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