Algebraically stable diagonally implicit general linear methods

DOI10.1016/j.apnum.2010.03.004zbMath1192.65104OpenAlexW1970301992MaRDI QIDQ977353

L. L. Hewitt, Adrian T. Hill

Publication date: 21 June 2010

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2010.03.004

zbMATH Keywords

stiff problemsgeneral linear methodsalgebraic stabilityDIMSIMs

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (3)

Construction of algebraically stable dimsims ⋮ Search for highly stable two-step Runge-Kutta methods ⋮ Nordsieck methods with computationally verified algebraic stability

Cites Work

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• A transformation for the analysis of DIMSIMs
• Nonlinear stability of general linear methods
• Construction of diagonally implicit general linear methods of type 1 and 2 for ordinary differential equations
• Stability Properties of Implicit Runge–Kutta Methods
• On the error of general linear methods for stiff dissipative differential equations
• Conditions for Positive and Nonnegative Definiteness in Terms of Pseudoinverses
• General linear methods

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