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Introduction to partial differential...
~
Tveito, Aslak,1961-
Introduction to partial differential equationsa computational approach /
紀錄類型:
書目-電子資源 : 單行本
正題名/作者:
Introduction to partial differential equations/ Aslak Tveito, Ragnar Winther.
其他題名:
a computational approach /
作者:
Tveito, Aslak,
其他作者:
Winther, Ragnar.
出版者:
New York :Springer,�998.
面頁冊數:
1 online resource (xv, 392 pages) :illustrations.
標題:
Differential equations, Partial. -
電子資源:
Click here for online access to this book (查閱全文) (EBSCO eBook)
ISBN:
0387227733 (electronic bk.)
ISBN:
9780387227733 (electronic bk.)
Introduction to partial differential equationsa computational approach /
Tveito, Aslak,1961-
Introduction to partial differential equations
a computational approach /[electronic resource] :Aslak Tveito, Ragnar Winther. - New York :Springer,�998. - 1 online resource (xv, 392 pages) :illustrations. - Texts in applied mathematics ;29. - Texts in applied mathematics ;29..
Includes bibliographical references (p. [385]-387) and index.
Cover -- Table of Contents -- 1. Setting the Scene -- 2. Two-Point Boundary Value Problems -- 3. The Heat Equation -- 4. Finite Difference Schemes For The Heat Equation -- 5. The Wave Equation -- 6. Maximum Principles -- 7. Poisson's Equation in Two Space Dimensions -- 8. Orthogonality and General Fourier Series -- 9. Convergence of Fourier Series -- 10. The Heat Equation Revisited -- 11. Reaction-Diffusion Equations -- 12. Applications of the Fourier Transform -- References.
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.
ISBN: 0387227733 (electronic bk.)Subjects--Topical Terms:
147081
Differential equations, Partial.
Index Terms--Genre/Form:
172687
Electronic books.
LC Class. No.: QA377 / .T9 1998eb
Dewey Class. No.: 515/.353
Introduction to partial differential equationsa computational approach /
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