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Chargement... A First Course in the Numerical Analysis of Differential Equationspar Arieh Iserles
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Inscrivez-vous à LibraryThing pour découvrir si vous aimerez ce livre Actuellement, il n'y a pas de discussions au sujet de ce livre. Pure-math oriented book on numerical ODE/PDE, mostly finite-difference and finite-element methods with a heavy analytical flavor, very little on more modern methods or finite-volume.
Recommended. ** Upperdivision undergraduate through professional collections. Appartient à la série
Numerical analysis presents different faces to the world. For mathematicians it is a bona fide mathematical theory with an applicable flavour. For scientists and engineers it is a practical, applied subject, part of the standard repertoire of modelling techniques. For computer scientists it is a theory on the interplay of computer architecture and algorithms for real-number calculations. The tension between these standpoints is the driving force of this book, which presents a rigorous account of the fundamentals of numerical analysis of both ordinary and partial differential equations. The exposition maintains a balance between theoretical, algorithmic and applied aspects. This second edition has been extensively updated, and includes new chapters on emerging subject areas: geometric numerical integration, spectral methods and conjugate gradients. Other topics covered include multistep and Runge-Kutta methods; finite difference and finite elements techniques for the Poisson equation; and a variety of algorithms to solve large, sparse algebraic systems. Aucune description trouvée dans une bibliothèque |
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Google Books — Chargement... GenresClassification décimale de Melvil (CDD)518.6Natural sciences and mathematics Mathematics Numerical analysis Differential EquationsClassification de la Bibliothèque du CongrèsÉvaluationMoyenne:
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