A parallel diagonally iterated RK method for convection-diffusion and stiff problems

DOI<821::AID-CNM190>3.0.CO;2-Q 10.1002/(SICI)1099-0887(199809)14:9<821::AID-CNM190>3.0.CO;2-QzbMath0921.65052OpenAlexW1998607069MaRDI QIDQ4225917

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Publication date: 16 September 1999

Full work available at URL: https://doi.org/10.1002/(sici)1099-0887(199809)14:9<821::aid-cnm190>3.0.co;2-q

zbMATH Keywords

comparison of methodsparallel computationstiff systemsdiagonally implicit Runge-Kutta methods\(A\)-stabilityconvection-diffusion equations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) 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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Cites Work

• Unnamed Item
• Analysis of parallel diagonally implicit iteration of Runge-Kutta methods
• Parallel-iterated Runge-Kutta methods for stiff ordinary differential equations
• A study of B-convergence of Runge-Kutta methods
• Error of Runge-Kutta methods for stiff problems studied via differential algebraic equations
• A parallel DIRK method for stiff initial-value problems
• Iterated Runge–Kutta Methods on Parallel Computers
• On the Stability and Accuracy of One-Step Methods for Solving Stiff Systems of Ordinary Differential Equations
• Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s

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