On the Parallel Implementation of Implicit Runge–Kutta Methods

DOI10.1137/0909074zbMath0664.65068OpenAlexW1986776399WikidataQ122557672 ScholiaQ122557672MaRDI QIDQ3814670

William Rust, Ohannes A. Karakashian

Publication date: 1988

Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0909074

zbMATH Keywords

heat equationnumerical examplessemidiscretizationimplicit Runge-Kutta methodsA zero stabilitystiff linear initial value problem

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Parallel numerical computation (65Y05) Numerical methods for initial value problems involving ordinary differential equations (65L05) General theory of functional-differential equations (34K05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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