Item description for Introduction to Partial Differential Equations: A Computational Approach (Texts in Applied Mathematics) by Aslak Tveito...
This book teaches the basic methods of partial differential equations and introduces related important ideas associated with the analysis of numerical methods for those partial differential equations. Standard topics such as separation of variables, Fourier analysis, maximum principles, and energy estimates are included. Numerical methods are introduced in parallel to the classical theory. The numerical experiments are used to illustrate properties of differential equations and theory for finite difference approximations is developed. Numerical methods are included in the book to show the significance of computations in partial differential equations and to illustrate the strong interaction between mathematical theory and the development of numerical methods. Great care has been taken throughout the book to seek a sound balance between the analytical and numerical techniques. The authors present the material at an easy pace with well-organized exercises ranging from the straightforward to the challenging. In addition, special projects are included, containing step by step hints and instructions, to help guide students in the correct way of approaching partial differential equations. The text would be suitable for advanced undergraduate and graduate courses in mathematics and engineering. Necessary prerequisites for this text are basic calculus and linear algebra. Some elementary knowledge of ordinary differential equations is also preferable.
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Est. Packaging Dimensions: Length: 9.37" Width: 6.3" Height: 1.1" Weight: 1.59 lbs.
Release Date Nov 29, 2004
ISBN 354022551X ISBN13 9783540225515
Availability 93 units. Availability accurate as of Oct 24, 2016 05:50.
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Reviews - What do customers think about Introduction to Partial Differential Equations: A Computational Approach (Texts in Applied Mathematics)?
Well written, motivational and rigorous. Feb 11, 2002
This book cover the basics of partial differential equations. It's well written, motivational, and balanced rigorous. It contains a lot of good exercises which is a necessity for a beginner in this field. I read this book during a university course in the subject. I struggled. But in my opinion this book is pretty close to the ideal presented by Einstein: "Everything should be made as simple as possible, but no simpler".