Numerical Solution of Partial Differential Equations: An Introduction

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K. W. MortonCambridge University PressEdition: 2, 4/14/2005EAN 9780521607933, ISBN10: 0521607930Paperback, 292 pages, 22.8 x 15.2 x 1.6 cmLanguage: EnglishThis is the 2005 second e dition of a highly successful and well-respected textbook on the numerical techniques used to solve partial differential equations arising from mathematical models in science, engineering and other fields. The authors maintain an emphasis on finite difference methods for simple but representative examples of parabolic, hyperbolic and elliptic equations from the first edition. However this is augmented by new sections on finite volume methods, modified equation analysis, symplectic integration schemes, convection-diffusion problems, multigrid, and conjugate gradient methods; and several sections, including that on the energy method of analysis, have been extensively rewritten to reflect modern developments. Already an excellent choice for students and teachers in mathematics, engineering and computer science departments, the revised text includes more latest theoretical and industrial developments.1. Introduction2. Parabolic equations in one space variable3. 2-D and 3-D parabolic equations4. Hyperbolic equations in one space dimension5. Consistency, convergence and stability6. Linear second order elliptic equations in two dimensions7. Iterative solution of linear algebraic equationsBibliographyIndex. Show more