First Course in the Numerical Analysis of Differential Equat (BOK)

Arieh Iserles

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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 new 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.

Produktfakta

Språk Engelsk Engelsk Innbinding Heftet
Utgitt 2008 Forfatter Arieh Iserles
Forlag
CAMBRIDGE UNIVERSITY PRESS
ISBN 9780521734905
Antall sider 480 Dimensjoner 17,4cm x 24,7cm x 2,5cm
Vekt 880 gram Leverandør Bertram Trading Ltd