G-stability one-leg hybrid methods for solving DAEs

DOI10.1186/s13662-019-2019-2zbMath1459.65129OpenAlexW2936299203WikidataQ62617488 ScholiaQ62617488MaRDI QIDQ1733602

Xianqiang Yang

Publication date: 21 March 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-019-2019-2

zbMATH Keywords

stabilityone-leg methodshybrid methods

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for differential-algebraic equations (65L80)

Related Items (3)

Singular traveling wave solutions for Boussinesq equation with power law nonlinearity and dual dispersion ⋮ Stochastic P-bifurcation in a bistable Van der Pol oscillator with fractional time-delay feedback under Gaussian white noise excitation ⋮ A new type of hybrid multistep multiderivative formula for solving stiff IVPs

Uses Software

• MEBDF

Cites Work

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• Hybrid special class for solving differential-algebraic equations
• Stability of Two-Step Methods for Variable Integration Steps
• G-stability is equivalent toA-stability
• Multistep and one-leg methods for implicit mixed differential algebraic systems
• Sequential Regularization Methods for Nonlinear Higher-Index DAEs
• Hybrid BDF methods for the numerical solutions of ordinary differential equations

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