A First Course in the Numerical Analysis of Differential Equations

Arieh Iserles

  • 出版商: Cambridge
  • 出版日期: 1996-01-26
  • 售價: $1,100
  • 貴賓價: 9.5$1,045
  • 語言: 英文
  • 頁數: 378
  • 裝訂: Paperback
  • ISBN: 0521556554
  • ISBN-13: 9780521556552
  • 相關分類: 數值分析 Numerical-analysis
  • 已絕版

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Description:

This book presents a rigorous account of the fundamentals of numerical analysis of both ordinary and partial differential equations. The point of departure is mathematical but the exposition strives to maintain a balance among theoretical, algorithmic and applied aspects of the subject. In detail, topics covered include numerical solution of ordinary differential equations by multistep and Runge-Kutta methods; finite difference and finite elements techniques for the Poisson equation; a variety of algorithms to solve large, sparse algebraic systems; and methods for parabolic and hyperbolic differential equations and techniques of their analysis. The book is accompanied by an appendix that presents brief back-up in a number of mathematical topics.