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This is a two volume introduction to the computational solution of differential equations using a unified approach organized around the adaptive finite element method. It presents a synthesis of mathematical modeling, analysis, and computation. The goal is to provide the student with theoretical and practical tools useful for addressing the basic questions of computational mathematical modeling in science and engineering: How can we model physical phenomena using differential equations? What are the properties of solutions of differential equations? How do we compute solutions in practice? How do we estimate and control the accuracy of computed solutions? The first volume begins by developing the basic issues at an elementary level in the context of a set of model problems in ordinary differential equations. The authors then widen the scope to cover the basic classes of linear partial differential equations modeling elasticity, heat flow, wave propagation and convection-diffusion-absorption problems. The book concludes with a chapter on the abstract framework of the finite element method for differential equations. Volume 2, to be published in early 1997, extends the scope to nonlinear differential equations and systems of equations modeling a variety of phenomena such as reaction-diffusion, fluid flow, many-body dynamics and reaches the frontiers of research. It also addresses practical implementation issues in detail. These volumes are ideal for undergraduates studying numerical analysis or differential equations. This is a new edition of a 1988 text of 275 pages by C. Johnson.
- Sales Rank: #403290 in Books
- Brand: Brand: Cambridge University Press
- Published on: 1996-09-28
- Released on: 1996-09-05
- Original language: English
- Number of items: 1
- Dimensions: 8.98" h x 1.14" w x 5.98" l, 1.70 pounds
- Binding: Paperback
- 556 pages
- Used Book in Good Condition
Review
"...an excellent text...a readable, up-to-date, easily accessible, and mathematically sound introduction to finite element methods...a clear elucidation of the fundamentals of the finite element method at an elementary level." SIAM REVIEW
About the Author
The authors are leading researchers in computational mathematics who have written various successful books.
The authors have been awarded several prizes:
- Johan Hoffman: Bill Morton Prize, Leslie Fox Prize
- Claes Johnson: Humboldt Research Prize
Most helpful customer reviews
2 of 3 people found the following review helpful.
Best of EDP in !!!
By Michael BELK
This book is excelent because there's reviews of calculus, linear algebra and all sort of classical numerical methods needed to understand the finite element method. Moreover, the authors try and succed in giving a clear explanation of many applications of the method.
Well, a must of numerical analysis that every scientific searchers and engineers must own !!!
2 of 4 people found the following review helpful.
An excellent book
By Sol Invictus
Great book to learn the fundamentals of finite element methods (FEM). The authors combine both rigor and simplicity in their presentation of the FEM as a means of numerically solving a wide variety of partial differential equations. Highly recommended for engineers--especially those who have been taught FEM using the traditional "structural mechanics" approach.
4 of 6 people found the following review helpful.
Amazing
By Vasileios Symeonidis
Excellent approach for numerical and computational issues. Perfect for creating solid programs that work and it also explains every detail in a great way.
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