Stability of implicit Runge-Kutta methods for nonlinear stiff differential equations

DOI10.1007/BF01954908zbMath0662.65068OpenAlexW2062059336MaRDI QIDQ1114352

Bernhard A. Schmitt

Publication date: 1988

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01954908

zbMATH Keywords

stabilitymethod of linesstiff differential equationsimplicit Runge-Kutta methods

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items

The Modified Newton Method in the Solution of Stiff Ordinary Differential Equations, An efficient family of strongly A-stable Runge-Kutta collocation methods for stiff systems and DAEs. II: Convergence results, Runge-Kutta Methods for Parabolic Equations and Convolution Quadrature

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