Overview

The book collects original articles on numerical analysis of ordinary differential equations and its applications. Some of the topics covered in this volume are: discrete variable methods, Runge-Kutta methods, linear multistep methods, stability analysis, parallel implementation, self-validating numerical methods, analysis of nonlinear oscillation by numerical means, differential-algebraic and delay-differential equations, and stochastic initial value problems.Contents: Limiting Formulas of Eight-Stage Explicit Runge-Kutta Method of Order Seven (H Ono) A Series of Collocation Runge-Kutta Methods (T Mitsui & H Sugiura) Improved SOR-Like Method with Orderings for Non-Symmetric Linear Equations Derived from Singular Perturbation Problems (E Ishiwata & Y Muroya) Analysis of the Milne Device for the Finite Correction Mode of the Adams PC Methods I (M Fuji) Computational Challenges in the Solution of Nonlinear Oscillatory Multibody Dynamics Systems (J Yen & L Petzold) Existence and Uniquess of Quasiperiodic Solutions to Quasiperiodic Nonlinear Differential Equations (Y Shinohara et al.) Experimental Studies on Guaranteed-Accuracy Solutions of the Initial-Value Problem of Nonlinear Ordinary Differential Equations (M Iri & J Amemiya) Numerical Validation for Ordinary Differential Equations Using Power Series Arithmetic (M Kashiwagi) and other papersReadership: Graduate students and researchers in applied mathematics.

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9781299635739

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