MTU Cork Library Catalogue

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Finite difference schemes and partial differential equations / John C. Strikwerda.

By: Strikwerda, John C, 1947-.
Material type: materialTypeLabelBookSeries: Wadsworth & Brooks/Cole mathematics series: Publisher: Pacific Grove, Calif. : Wadsworth & Brooks/Cole Advanced Books & Software, c1989Description: xii, 386 p. : ill. ; 25 cm. + hbk.ISBN: 053409984X .Subject(s): Differential equations, Partial -- Numerical solutions | Finite differencesDDC classification: 515.353
Contents:
Hyperbolic partial differential equations -- Analysis of finite difference schemes -- Order of accuracy of finite difference schemes -- Stability for multistep schemes -- Dissipation and dispersion -- Parabolic partial differential equations -- Systems of partial differential equations in higher dimensions -- Second order equations -- Analysis of well-posed and stable problems -- Convergence estimates for initial value problems -- Well-posed and stable initial-boundary value problems -- Elliptic partial differential equations and difference schemes -- Linear iterative methods -- The method of steepest descent and the conjugate gradient method.
Holdings
Item type Current library Call number Copy number Status Date due Barcode Item holds
General Lending MTU Bishopstown Library Lending 515.353 (Browse shelf(Opens below)) 1 Available 00041010
Total holds: 0

Enhanced descriptions from Syndetics:

This text/reference discusses the concepts of convergence, consistency, and stability for time-dependent equations. Methods of Fourier analysis are used throughout the book. Annotation(c) 2003 Book News, Inc., Portland, OR (booknews.com)

Includes bibliographical references (pages 379-382) and index.

Hyperbolic partial differential equations -- Analysis of finite difference schemes -- Order of accuracy of finite difference schemes -- Stability for multistep schemes -- Dissipation and dispersion -- Parabolic partial differential equations -- Systems of partial differential equations in higher dimensions -- Second order equations -- Analysis of well-posed and stable problems -- Convergence estimates for initial value problems -- Well-posed and stable initial-boundary value problems -- Elliptic partial differential equations and difference schemes -- Linear iterative methods -- The method of steepest descent and the conjugate gradient method.

Reviews provided by Syndetics

CHOICE Review

The greater part of this book is devoted to material on time-dependent linear (i.e., hyperbolic and parabolic) equations and systems. Three introductory chapters on elliptic equations and systems are designed to prepare the student to go on to more advanced treatment elsewhere. (A most serious omission is not indicating specific references.) Automated grid generation and variable grids are not treated, nor is there any mention of finite element methods. What the author does do, and well, is offer a clear, unified treatment (with numerous examples and exercises) of the convergence, consistency, and stability of difference schemes, and their orders of accuracy. There are chapters on the basic theory of well-posed initial value and initial boundary-value problems as well. In addition, three appendixes offer necessary background material from matrix and vector analysis, real analysis, and complex analysis. Recommended for graduate students in applied mathematics and engineering. -R. J. Wernick, San Francisco State University

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