Finite difference methods for ordinary and partial differential equations: steady-state and time-dependent problems
.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
GENERAL NOTES
Text of Note
Includes bibliographical references )p.329-335( and index
NOTES PERTAINING TO TITLE AND STATEMENT OF RESPONSIBILITY
Text of Note
Randall J. LeVeque
CONTENTS NOTE
Text of Note
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