Finite difference schemes and partial differential equations / John C. Strikwerda.
By: Strikwerda, John C.
Material type: BookSeries: 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: 515.353Item type | Current library | Call number | Copy number | Status | Date due | Barcode | Item holds |
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General Lending | MTU Bishopstown Library Lending | 515.353 (Browse shelf(Opens below)) | 1 | Available | 00041010 |
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.