CONSTRUCTION OF NORDSIECK SECOND DERIVATIVE GENERAL LINEAR METHODS WITH INHERENT QUADRATIC STABILITY

DOI10.3846/13926292.2017.1269024zbMath1488.65178OpenAlexW2577664770MaRDI QIDQ5015435

A. Movahedinejad, Ali Abdi, Gholamreza Hojjati

Publication date: 8 December 2021

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3846/13926292.2017.1269024

zbMATH Keywords

stiff differential equationssecond derivative methodsinherent quadratic stabilityNordsieck 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 (4)

Efficient Nordsieck second derivative general linear methods: construction and implementation ⋮ EXPLICIT NORDSIECK SECOND DERIVATIVE GENERAL LINEAR METHODS FOR ODES ⋮ Implementation of second derivative general linear methods ⋮ Projection of second derivative methods for ordinary differential equations with invariants

Uses Software

• MEBDF
• RODAS
• A-EBDF

Cites Work

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• MEBDF
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