×

zbMATH — the first resource for mathematics

Finite difference schemes and partial differential equations. 2nd ed. (English) Zbl 1071.65118
Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 0-89871-567-9/hbk). xii, 435 p. (2004).
The first edition of the book has been well accepted by the scientific community. Also, there are only few books (if there are any at all) presenting the analysis of the finite difference method for the three standard types of PDEs in a similar thorough way. So it is no surprise that a second edition followed. Only a few additions have been made compared to the first edition (1989; Zbl 0681.65064).

MSC:
65Mxx Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
65Nxx Numerical methods for partial differential equations, boundary value problems
65F10 Iterative numerical methods for linear systems
65N22 Numerical solution of discretized equations for boundary value problems involving PDEs
65-02 Research exposition (monographs, survey articles) pertaining to numerical analysis
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
65N06 Finite difference methods for boundary value problems involving PDEs
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
35Jxx Elliptic equations and elliptic systems
35Kxx Parabolic equations and parabolic systems
35Lxx Hyperbolic equations and hyperbolic systems
PDF BibTeX XML Cite