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{ "item_title" : "A First Course in the Numerical Analysis of Differential Equations", "item_author" : [" Arieh Iserles "], "item_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 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.", "item_img_path" : "https://covers2.booksamillion.com/covers/bam/0/52/173/490/0521734908_b.jpg", "price_data" : { "retail_price" : "79.00", "online_price" : "79.00", "our_price" : "79.00", "club_price" : "79.00", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
A First Course in the Numerical Analysis of Differential Equations|Arieh Iserles

A First Course in the Numerical Analysis of Differential Equations

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Overview

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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Details

  • ISBN-13: 9780521734905
  • ISBN-10: 0521734908
  • Publisher: Cambridge University Press
  • Publish Date: November 2008
  • Dimensions: 9.6 x 6.9 x 1 inches
  • Shipping Weight: 1.95 pounds
  • Page Count: 480

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