The solution of implicit differential equations on parallel computers

DOI10.1016/S0168-9274(97)00071-8zbMath0890.65070OpenAlexW2025417959MaRDI QIDQ1372706

W. A. van der Veen, P. J. van der Houwen

Publication date: 24 June 1998

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

Full work available at URL: https://doi.org/10.1016/s0168-9274(97)00071-8

zbMATH Keywords

Newton's methodparallel computationdifferential algebraic equationsRunge-Kutta methodsimplicit differential equationscar axis problemtransistor problem

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) 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)

Related Items (1)

Steady flows in pipes with finite curvature

Uses Software

• RODAS

Cites Work

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• Parallel Runge-Kutta methods with real eigenvalues
• Error of Runge-Kutta methods for stiff problems studied via differential algebraic equations
• Parallel linear system solvers for Runge-Kutta methods
• Parallel iterative linear solvers for multistep Runge-Kutta methods
• Highly stable parallel Runge-Kutta methods
• Triangularly Implicit Iteration Methods for ODE-IVP Solvers
• Iterated Runge–Kutta Methods on Parallel Computers
• On the implementation of implicit Runge-Kutta methods

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