A parallel shooting technique for solving dissipative ODE's

DOI10.1007/BF02238534zbMath0788.65079MaRDI QIDQ1313247

V. Pereyra

Publication date: 30 May 1994

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

convergenceNewton's methodnumerical experimentsfixed point problemdissipative problemsacross the steps methodparallel shooting technique

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Parallel numerical computation (65Y05) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (18)

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Uses Software

• RODAS

Cites Work

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• Chemical instabilities and sustained oscillations
• Parallel ODE-solvers with stepsize control
• Parallel methods for ordinary differential equations
• Parallel algorithms for initial-value problems for difference and differential equations
• \(A\)-stable parallel block methods for ordinary and integro-differential equations
• Iterated Runge–Kutta Methods on Parallel Computers
• On the Stability and Accuracy of One-Step Methods for Solving Stiff Systems of Ordinary Differential Equations
• Parallel Solution of Ordinary Differential Equations
• L-Stable Parallel One-Block Methods for Ordinary Differential Equations
• A-stable block implicit one-step methods

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