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For mathematicians and engineers interested in applying numerical methods to physical problems this book is ideal. Numerical ideas are connected to accompanying software, which is also available online. By seeing the complete description of the methods in both theory and implementation, students will more easily gain the knowledge needed to write their own application programs or develop new theory. The book contains careful development of the mathematical tools needed for analysis of the numerical methods, including elliptic regularity theory and approximation theory. Variational crimes, due to quadrature, coordinate mappings, domain approximation and boundary conditions, are analyzed. The claims are stated with full statement of the assumptions and conclusions, and use subscripted constants which can be traced back to the origination (particularly in the electronic version, which can be found on the accompanying CD-ROM).Read more
- Material is largely self-contained to suit a variety of courses
- Accompanying software is also available from www.cambridge.org/trangenstein
- Applications include porous flow, solid mechanics, electro-magnetics, fluid dynamics and electro-cardiology
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- Date Published: April 2013
- format: Mixed media product
- isbn: 9780521877268
- length: 661 pages
- dimensions: 253 x 193 x 37 mm
- weight: 1.42kg
- contains: 55 b/w illus. 13 colour illus. 300 exercises
- availability: Available
Table of Contents
1. Introduction to partial differential equations
2. Parabolic equations
3. Iterative linear algebra
4. Introduction to finite element methods
5. Finite element theory
6. Finite element approximations
7. Mixed and hybrid finite elements
8. Finite elements for parabolic equations
9. Finite elements and multigrid
10. Local refinement
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- Numerical methods for differential equations
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