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A First Course in the Numerical Analysis of Differential Equations

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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 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.

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Detail Information

Series Title

Cambridge Texts in Applied Mathematics (44)

Call Number

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Publisher

: Cambridge University Press., 2012

Collation

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Language

English

ISBN/ISSN

9780511995569

Classification

NONE

Content Type

text

Media Type

computer

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-

Edition

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Subject(s)

Mathematics
Systems
Numerical Analysis and Computational Science
Control Theory, Mathematical Physics,
Differential and Integral Equations, Dynamical

Specific Detail Info

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Statement of Responsibility

Arieh Iserles

Other Information

Cataloger

Arin

Source

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Validator

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Digital Object Identifier (DOI)

https://doi.org/10.1017/CBO9780511995569

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