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Finite difference methods for ordinary and partial differential equations : steady-state and time-dependent problems / Randall J. LeVeque.

By: LeVeque, Randall J, 1955-.
Material type: TextTextPublisher: Philadelphia, PA : Society for Industrial and Applied Mathematics, c2007Description: xv, 341 p. : ill. ; 26 cm.ISBN: 9780898716290 (alk. paper); 0898716292 (alk. paper).Subject(s): Finite differences | Differential equationsDDC classification: 515/.35 Online resources: Table of contents only | Publisher description | Contributor biographical information
Contents:
Finite difference approximations -- Steady states and boundary value problems -- Elliptic equations -- Iterative methods for sparse linear systems -- The initial value problem for ordinary differential equations -- Zero-stability and convergence for initial value problems -- Absolute stability for ordinary differential equations -- Stiff ordinary differential equations -- Diffusion equations and parabolic problems -- Addiction equations and hyperbolic systems -- Mixed equations -- Appendixes: A. Measuring errors -- B. Polynomial interpolation and orthogonal polynomials -- C. Eigenvalues and inner-product norms -- D. Matrix powers and exponentials -- E. Partial differential equations.
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Item type Home library Call number Status Date due Barcode Item holds
Book Book KCST Library
515.35 Le Fi (Browse shelf) Available 1000000364
Total holds: 0

Includes bibliographical references (p. 329-335) and index.

Finite difference approximations -- Steady states and boundary value problems -- Elliptic equations -- Iterative methods for sparse linear systems -- The initial value problem for ordinary differential equations -- Zero-stability and convergence for initial value problems -- Absolute stability for ordinary differential equations -- Stiff ordinary differential equations -- Diffusion equations and parabolic problems -- Addiction equations and hyperbolic systems -- Mixed equations -- Appendixes: A. Measuring errors -- B. Polynomial interpolation and orthogonal polynomials -- C. Eigenvalues and inner-product norms -- D. Matrix powers and exponentials -- E. Partial differential equations.

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