Finite Difference Methods for Ordinary and Partial Differential Equations Steady-State and Time-Dependent Problems

Name: Finite Difference Methods for Ordinary and Partial Differential Equations Steady-State and Time-Dependent Problems
Price: 74.99 USD
Availability: InStock
ISBN: 9780898716290

ISBN-10: 0898716292

ISBN-13: 9780898716290

Edition: 2007

Authors: Randall J. LeVeque

List price: $77.00

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Book details

List price: $77.00
Copyright year: 2007
Publisher: Society for Industrial and Applied Mathematics
Publication date: 7/30/2007
Binding: Paperback
Pages: 354
Size: 7.00" wide x 10.00" long x 0.75" tall
Weight: 1.606
Language: English



Preface



Boundary Value Problems and Iterative Methods



Finite difference approximations



Steady states and boundary value problems



Elliptic equations



Iterative methods for sparse linear systems



Initial Value Problems



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



Advection equations and hyperbolic systems



Mixed equations



Measuring errors



Polynomial interpolation and orthogonal polynomials



Eigenvalues and inner-product norms



Matrix powers and exponentials



Partial differential equations


Bibliography


Index