A First Course in the Numerical Analysis of Differential Equations (Cambridge Texts in Applied Mathematics)

• Authors: Arieh Iserles - Arieh - Iserles
• ISBN 10: 0521734908
• ISBN 13: 9780521734905
• Edition: 2nd
• Release: December 29, 2008
• Format: Paperback (480 pages)
• List Price: $60.00
• More Details
  
  

  List Price: $60.00

  Tags: Science, General,

  Book Description:
  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.

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