Parallel linear system solvers for Runge-Kutta-Nyström methods

DOI10.1016/S0377-0427(97)00050-2zbMath0890.65080MaRDI QIDQ1372074

P. J. van der Houwen, Eleonora Messina

Publication date: 6 July 1998

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

numerical examplesparallel computationNewton iterationRunge-Kutta-Nyström type method

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) 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) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (2)

Parallel iterative linear solvers for multistep Runge-Kutta methods ⋮ Recent advances in linear analysis of convergence for splittings for solving ODE problems

Uses Software

• RODAS

Cites Work

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• Nichtlineare Stabilität und Phasenuntersuchung adaptiver Nyström- Runge-Kutta-Methoden (Nonlinear stability and phase analysis for adaptive Nyström-Runge-Kutta methods)
• \(A\)-stable diagonally implicit Runge-Kutta-Nyström methods for parallel computers
• Unconditionally stable methods for second order differential equations
• Parallel linear system solvers for Runge-Kutta methods
• Klassische Runge-Kutta-Nyström-Formeln mit SchrittweitenKontrolle für Differentialgleichungen \(\ddot x= f(t,x)\)
• Triangularly Implicit Iteration Methods for ODE-IVP Solvers
• Iterated Runge–Kutta Methods on Parallel Computers
• Stability of collocation methods for the numerical solution ofy″=f (x,y)
• Implementation of Implicit Formulas for the Solution of ODE<scp>s</scp>
• On the implementation of implicit Runge-Kutta methods

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