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Numerical methods for partial differential equations

โœ Scribed by Gwynne Evans; J M Blackledge; P Yardley


Publisher
Springer
Year
2000
Tongue
English
Leaves
302
Series
Springer undergraduate mathematics series
Category
Library

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โœฆ Synopsis


"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


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<p>The subject of partial differential equations holds an exciting and special position in mathematics. Partial differential equations were not consciously created as a subject but emerged in the 18th century as ordinary differential equations failed to describe the physical principles being studied

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This volume is designed as an introduction to the concepts of modern numerical analysis as they apply to partial differential equations. The book contains many practical problems and their solutions, but at the same time, strives to expose the pitfalls - such as overstability, consistency requiremen