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A technique for controlling the global error in multistep methods

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Publication:1608233
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zbMath0999.65081MaRDI QIDQ1608233

G. Yu. Kulikov, Sergey K. Shindin

Publication date: 12 August 2002

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)


zbMATH Keywords

algorithmnumerical exampleserror boundsnumerical solutionstepsize controlmultistep method


Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for numerical methods for ordinary differential equations (65L70) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)


Related Items (3)

One-leg variable-coefficient formulas for ordinary differential equations and local-global step size control ⋮ Global error estimation and control in linearly-implicit parallel two-step peer W-methods ⋮ Global error estimation and extrapolated multistep methods for index 1 differential-algebraic systems




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