Construction of the Nordsieck second derivative methods with RK stability for stiff ODEs

DOI10.1007/s40314-018-0619-1zbMath1402.65064OpenAlexW2799831275WikidataQ129967983 ScholiaQ129967983MaRDI QIDQ1993495

Yanyan Li

Publication date: 5 November 2018

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

Full work available at URL: https://doi.org/10.1007/s40314-018-0619-1

zbMATH Keywords

stiff differential equationsRunge-Kutta stabilityvariable stepsizesecond derivative methodsNordsieck methods\(A\) and \(L\) stability

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 stiff equations (65L04)

Related Items

Strong stability preserving implicit and implicit-explicit second derivative general linear methods with RK stability, HIGH ORDER SECOND DERIVATIVE DIAGONALLY IMPLICIT MULTISTAGE INTEGRATION METHODS FOR ODES, Implementation of second derivative general linear methods

Uses Software

• RODAS

Cites Work

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