Zhilin Li, Zhonghua Qiao, Tao Tang

Numerical Solution of Differential Equations

• Gebundenes Buch

Produktbeschreibung

A practical and concise guide to finite difference and finite element methods. Well-tested MATLAB(R) codes are available online.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 304
• Erscheinungstermin: 30. November 2017
• Englisch
• Abmessung: 250mm x 175mm x 21mm
• Gewicht: 707g
• ISBN-13: 9781107163225
• ISBN-10: 1107163226
• Artikelnr.: 48208357

Autorenporträt

Zhilin Li is a tenured full professor at the Center for Scientific Computation and the Department of Mathematics, North Carolina State University. His research area is in applied mathematics in general, particularly in numerical analysis for partial differential equations, moving interface/free boundary problems, irregular domain problems, computational mathematical biology, and scientific computing and simulations for interdisciplinary applications. Li has authored one monograph, The Immersed Interface Method, and also edited several books and proceedings.

Inhaltsangabe

1. Introduction
Part I. Finite Difference Methods: 2. Finite difference methods for 1D boundary value problems
3. Finite difference methods for 2D elliptic PDEs
4. FD methods for parabolic PDEs
5. Finite difference methods for hyperbolic PDEs
Part II. Finite Element Methods: 6. Finite element methods for 1D boundary value problems
7. Theoretical foundations of the finite element method
8. Issues of the FE method in one space dimension
9. The finite element method for 2D elliptic PDEs
Appendix. Numerical solutions of initial value problems
References
Index.