A first course in the numerical analysis of differential equations / Arieh Iserles.

By:

Iserles, A

Material type: Text

TextSeries: Cambridge texts in applied mathematicsPublication details: Cambridge ; New York : Cambridge University Press, 2009.Edition: 2nd edDescription: xviii, 459 p. : ill. ; 25 cmISBN:

9780521734905 (pbk.)

Other title:

Numerical analysis of differential equations

Subject(s):

Differential equations -- Numerical solutions

DDC classification:

518.6 22 ISE

LOC classification:

QA371 .I813 2009

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 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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Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode
Project book	CUTN Central Library	Non-fiction	518.6 ISE (Browse shelf(Opens below))	Checked out to Renuka Devi V (20019T)	31/01/2024	48874

Includes bibliographical references and index.

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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