Stability ordinates of Adams predictor-corrector methods

DOI10.1007/s10543-014-0528-7zbMath1353.65076OpenAlexW2074116367MaRDI QIDQ747638

Michelle L. Ghrist, Bengt Fornberg, Jonah A. Reeger

Publication date: 19 October 2015

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-014-0528-7

zbMATH Keywords

numerical examplewave equationfinite difference methodslinear multistep methodsstability regionAdams methodspredictor-correctorAdams-BashforthAdams-Moultonimaginary stability boundaryroot locus curvestability ordinate

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Wave equation (35L05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) 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) Finite difference and finite volume methods for ordinary differential equations (65L12)

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Cites Work

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• Two Results Concerning the Stability of Staggered Multistep Methods
• A Necessary Condition for A-Stability of Multistep Multiderivative Methods
• Staggered Time Integrators for Wave Equations
• A Practical Guide to Pseudospectral Methods

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