A First Course in the Numerical Analysis of Differential Equations
By: Iserles, Arieh.
Material type:
BookSeries: Publisher: London Cambridge University Press, 2008Edition: 2nd ed.Description: 477 p.ISBN: 0521734908 (paperback); 9780521734905 (paperback).Subject(s): Differential equations--Numerical solutions | Differential equations DDC classification: 518.6ISE Online resources: Click here to access online Summary: 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.
| Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
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Books
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Central Library, QUEST, Nawabshah
Welcome to the Central Library, QUEST, Nawabshah, Sindh, Pakistan |
518.6ISE (Browse shelf) | Available | 43872 |
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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