Finite difference methods for ordinary and partial differential equations steady-state and time-dependent problems
First Statement of Responsibility
Randall J. LeVeque.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Philadelphia, PA
Name of Publisher, Distributor, etc.
Society for Industrial and Applied Mathematics
Date of Publication, Distribution, etc.
c2007
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xv, 341 p. ill. 26 cm
NOTES PERTAINING TO TITLE AND STATEMENT OF RESPONSIBILITY
Text of Note
steady-state and time-dependent problems
TOPICAL NAME USED AS SUBJECT
Entry Element
Finite differences
Entry Element
Differential equations
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA
Book number
431
Classification Record Number
.
L548
2007
PERSONAL NAME - PRIMARY RESPONSIBILITY
Entry Element
LeVeque, Randall J.,1955-
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Entry Element
Includes bibliographical references )p. 329-335( and index.
Entry Element
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.