Embedded Diagonally Implicit Runge-Kutta Algorithms on Parallel Computers

DOI10.2307/2153025zbMath0744.65050OpenAlexW2568744929MaRDI QIDQ3987926

B. P. Sommeijer, P. J. van der Houwen, W. Couzy

Publication date: 28 June 1992

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://ir.cwi.nl/pub/1606

zbMATH Keywords

stabilitynumerical examplesparallelizationstiff problemshigh order methods4-processor shared memory Alliant FX/4parallel diagonal-implicit iterated Runge-Kutta methodsPDIRK methodstiff Runge Kutta methods

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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Multiple scale methods for ordinary differential equations (34E13)

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