\(A\)-stable parallel block methods for ordinary and integro-differential equations

DOI10.1016/0168-9274(92)90021-5zbMath0749.65050OpenAlexW2036941611MaRDI QIDQ1189145

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

Publication date: 26 September 1992

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

Full work available at URL: https://doi.org/10.1016/0168-9274(92)90021-5

zbMATH Keywords

stabilitynumerical experimentsparallel computationstiff equations\(A\)-stabilitylinear multistep method\(A\)-stable methodsblock implicit methodsVolterra integro- differential equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) 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)

Related Items

Continuous parallel block methods and their applications, Simple algorithm for solving linear integrodifferential equations with variable limits, The convergence of two Newton-like methods for solving block nonlinear equations and a class of \(r\)-point \((r+1)\)st-order \(A\)-stable one-block methods, The Barycentric Rational Difference-Quadrature Scheme for Systems of Volterra Integro-differential Equations, Block boundary value methods for solving Volterra integral and integro-differential equations, Functionally-fitted block \( \theta \)-methods for ordinary differential equations, Unnamed Item, Continuous block implicit hybrid one-step methods for ordinary and delay differential equations, A tenth order \(\mathcal{A} \)-stable two-step hybrid block method for solving initial value problems of ODEs, \(A\)-stable parallel block methods for ordinary and integro-differential equations, Parallel implementation of block boundary value methods for ODEs, Parallel step-by-step methods, A GLMs-based difference-quadrature scheme for Volterra integro-differential equations, Stability of implicit one-block methods for delay differential equations, Functionally-fitted block methods for ordinary differential equations, Parallel methods for nonstiff VIDEs, Analysis approximate factorization in iteration methods, Parallel Adams methods, A parallel shooting technique for solving dissipative ODE's, Parallel implicit predictor corrector methods

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