Finite difference methods for ordinary and partial differential equations : steady-state and time-dependent problems / Randall J. LeVeque.
By: LeVeque, Randall J
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Material type: 
TextPublisher: 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 | Item type | Home library | Call number | Status | Date due | Barcode | Item holds |
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Book
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KCST Library | 515.35 Le Fi (Browse shelf) | Available | 1000000364 |
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| 515.35 Bo El Elementary differential equations and boundary value problems / | 515.35 Bo El Elementary differential equations and boundary value problems / | 515.35 Kr Di Differential equations : | 515.35 Le Fi Finite difference methods for ordinary and partial differential equations : | 515.35 Ra El Elementary differential equations / | 515.35 Ra El Elementary differential equations / | 515.35 St Di Differential equations and linear algebra / |
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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