L-Stable Parallel One-Block Methods for Ordinary Differential Equations

DOI10.1137/0731030zbMath0823.65072OpenAlexW1974130402MaRDI QIDQ4305456

Philippe Chartier

Publication date: 24 October 1995

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0731030

zbMATH Keywords

order conditions\(L\)-stabilityparallel block methodsone-block 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)

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Third derivative hybrid block integrator for solution of stiff systems of initial value problems ⋮ Continuous parallel block methods and their applications ⋮ Functionally-fitted block methods for second order ordinary differential equations ⋮ On some multi-block reverse Adams methods for stiff problems ⋮ Parallel general linear methods for stiff ordinary differential and differential algebraic equations ⋮ Seventh order hybrid block method for solution of first order stiff systems of initial value problems ⋮ Unnamed Item ⋮ Hybrid Runge-Kutta methods for ordinary differential equations ⋮ Functionally-fitted block \( \theta \)-methods for ordinary differential equations ⋮ Continuous block implicit hybrid one-step methods for ordinary and delay differential equations ⋮ Functionally-fitted block methods for ordinary differential equations ⋮ Solving delay differential equations by the five-point one-step block method using Neville's interpolation ⋮ A parallel shooting technique for solving dissipative ODE's ⋮ Parallel implicit predictor corrector methods

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