Numerical methods for partial differential equations

Description

"The book presents a clear introduction of the methods and underlying theory used in the numerical solution of partial differential equations. Throughout, the emphasis is on the practical solution rather than the theoretical background, without sacrificing rigour. After revising the mathematical preliminaries, the book covers the finite difference method of parabolic or heat equations, hyperbolic or wave equations and elliptic or Laplace equations." "Numerical Methods for Partial Differential Equations provides a complete introduction to the subject, suitable for second or third year undergraduates or for non-specialist graduate courses. Many illustrative exercises are provided, most with full solutions or advice on creating appropriate computer algorithms."--BOOK JACKET. Read more... 1. Background Mathematics -- 2. Finite Differences and Parabolic Equations -- 3. Hyperbolic Equations and Characteristics -- 4. Elliptic Equations -- 5. Finite Element Method for Ordinary Differential Equations -- 6. Finite Elements for Partial Differential Equations