Relative error stability and instability of matrix exponential approximations for stiff numerical integration of long-time solutions

DOI10.1016/j.cam.2021.113387zbMath1470.65079OpenAlexW3120471115WikidataQ114202018 ScholiaQ114202018MaRDI QIDQ2226326

Stefano Maset

Publication date: 12 February 2021

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

Full work available at URL: https://doi.org/10.1016/j.cam.2021.113387

zbMATH Keywords

numerical integration\(A\)-stabilityrelative errorerror growth functionapproximation of the matrix exponential

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) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical methods for stiff equations (65L04) Numerical computation of matrix exponential and similar matrix functions (65F60)

Related Items (2)

Relative error long-time behavior in matrix exponential approximations for numerical integration: the stiff situation ⋮ Relative error analysis of matrix exponential approximations for numerical integration

Uses Software

• RODAS

Cites Work

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• Order stars and stiff integrators
• Order stars and stability theorems
• On the Stability and Accuracy of One-Step Methods for Solving Stiff Systems of Ordinary Differential Equations
• Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s
• A Note on Trapezoidal Methods for the Solution of Initial Value Problems

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