A fast convergence parallel DIRKN method and its applications to PDEs

DOI10.1016/0893-9659(95)00017-KzbMath0821.65055OpenAlexW1995562680MaRDI QIDQ1893696

Nguyen Huu Cong

Publication date: 20 July 1995

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

Full work available at URL: https://doi.org/10.1016/0893-9659(95)00017-k

zbMATH Keywords

numerical experimentspredictor-corrector methodssystemfast convergenceparallel iterationimplicit Runge-Kutta-Nyström methodstiff initial-value problem

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Parallel numerical computation (65Y05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Multiple scale methods for ordinary differential equations (34E13)

Uses Software

• RODAS

Cites Work

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• Stability of collocation-based Runge-Kutta-Nyström methods
• Parallel diagonally implicit Runge-Kutta-Nyström methods
• \(A\)-stable diagonally implicit Runge-Kutta-Nyström methods for parallel computers
• Unconditionally stable methods for second order differential equations
• A parallel DIRK method for stiff initial-value problems
• Order Conditions of Stochastic Runge--Kutta Methods by B-Series
• Semiexplicit A-Stable Runge-Kutta Methods
• The Potential for Parallelism in Runge–Kutta Methods. Part 1: RK Formulas in Standard Form

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