Efficient Nordsieck second derivative general linear methods: construction and implementation
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Publication:1616090
DOI10.1007/s10092-018-0270-7zbMath1416.65199OpenAlexW2836322165WikidataQ129540623 ScholiaQ129540623MaRDI QIDQ1616090
Publication date: 31 October 2018
Published in: Calcolo (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10092-018-0270-7
stiff differential equationsRunge-Kutta stabilityvariable stepsizegeneral linear methodssecond derivative methods\(A\)- and \(L\)-stability
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 stiff equations (65L04)
Related Items (17)
HIGH ORDER EXPLICIT SECOND DERIVATIVE METHODS WITH STRONG STABILITY PROPERTIES BASED ON TAYLOR SERIES CONDITIONS ⋮ Global error estimation for explicit second derivative general linear methods ⋮ Generalized second derivative linear multistep methods for ordinary differential equations ⋮ Implicit-explicit second derivative general linear methods with strong stability preserving explicit part ⋮ Transformed implicit-explicit second derivative diagonally implicit multistage integration methods with strong stability preserving explicit part ⋮ HIGH ORDER SECOND DERIVATIVE DIAGONALLY IMPLICIT MULTISTAGE INTEGRATION METHODS FOR ODES ⋮ RK-stable second derivative multistage methods with strong stability preserving based on Taylor series conditions ⋮ Implementation of second derivative general linear methods ⋮ Strong stability preserving second derivative general linear methods based on Taylor series conditions for discontinuous Galerkin discretizations ⋮ Adaptive second derivative multistep methods for solving stiff chemical problems ⋮ Strong stability preserving second derivative general linear methods with Runge-Kutta stability ⋮ Order conditions for second derivative general linear methods ⋮ Variable stepsize SDIMSIMs for ordinary differential equations ⋮ Second derivative backward differentiation formulae for ODEs based on barycentric rational interpolants ⋮ Strong stability preserving second derivative diagonally implicit multistage integration methods ⋮ General linear methods with large stability regions for Volterra integral equations ⋮ Strong stability preserving second derivative general linear methods
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