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

By: Material type: TextTextPublication details: Philadelphia, PA : Society for Industrial and Applied Mathematics, c2007.Description: xv, 341 p. : ill. ; 26 cmISBN:
  • 9780898716290 (alk. paper)
  • 0898716292 (alk. paper)
Subject(s): DDC classification:
  • 515/.35 22
LOC classification:
  • QA431 .L548 2007
Online resources:
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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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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