减去 发表于 2025-3-27 00:23:35

B-Stability and ContractivityHere we enter a new era, the study of stability and convergence for general . systems. All the “crimes” and diverse omissions of which we have been guilty in earlier sections, especially in Sect. IV.2, shall now be repaired.

Mechanics 发表于 2025-3-27 01:34:34

Positive Quadrature Formulas and B-Stable RK-MethodsWe shall give a constructive characterization of all irreducible . -stable Runge-Kutta methods (Theorem 13.15). Because of Theorem 12.16 we first have to study quadrature formulas with positive weights.

Finasteride 发表于 2025-3-27 05:38:37

B-ConvergenceProthero & Robinson (1974) were the first to discover the order reduction of implicit Runge-Kutta methods when applied to stiff differential equations. Frank, Schneid & Ueberhuber (1981) then introduced the “concept of . -convergence”, which furnishes global error estimates independent of the stiffness.

ARY 发表于 2025-3-27 10:19:55

Stability of Multistep MethodsA general .-step multistep method is of the form

incubus 发表于 2025-3-27 15:22:44

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concubine 发表于 2025-3-27 18:12:09

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时代 发表于 2025-3-28 01:18:00

978-3-642-05220-0Springer-Verlag Berlin Heidelberg 1996

Favorable 发表于 2025-3-28 02:34:54

Solving Ordinary Differential Equations II978-3-642-05221-7Series ISSN 0179-3632 Series E-ISSN 2198-3712

鼓掌 发表于 2025-3-28 06:31:23

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Stress-Fracture 发表于 2025-3-28 13:11:36

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查看完整版本: Titlebook: Solving Ordinary Differential Equations II; Stiff and Differenti Ernst Hairer,Gerhard Wanner Book 1996Latest edition Springer-Verlag Berlin