| Item type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
| E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA372.SPR FCT 81080 (Browse shelf) | 1 | Available |
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| QA372.SPR FCT 104560 Generalized Lorenz-Mie theories | QA372.SPR FCT 80925 Functional equations and inequalities with applications | QA372.SPR FCT 80965 Nonlinear partial differential equations | QA372.SPR FCT 81080 Numerical methods for ordinary differential equations | QA372.SPR FCT 81249 Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis | QA372.SPR FCT 81266 Singular perturbation theory | QA372.SPR FCT 81572 Green’s functions in the theory of ordinary differential equations |
Colocação: Online
Numerical Methods for Ordinary Differential Equations is a self-contained introduction to a fundamental field of numerical analysis and scientific computation. Written for undergraduate students with a mathematical background, this book focuses on the analysis of numerical methods without losing sight of the practical nature of the subject. It covers the topics traditionally treated in a first course, but also highlights new and emerging themes. Chapters are broken down into `lecture' sized pieces, motivated and illustrated by numerous theoretical and computational examples. Over 200 exercises are provided and these are starred according to their degree of difficulty. Solutions to all exercises are available to authorized instructors. The book covers key foundation topics: o Taylor series methods o Runge-Kutta methods o Linear multistep methods o Convergence o Stability and a range of modern themes: o Adaptive stepsize selection o Long term dynamics o Modified equations o Geometric integration o Stochastic differential equations The prerequisite of a basic university-level calculus class is assumed, although appropriate background results are also summarized in appendices. A dedicated website for the book containing extra information can be found via www.springer.com
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