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Titlebook: Introduction to Partial Differential Equations; A Computational Appr Aslak Tveito,Ragnar Winther Textbook 1998 Springer Science+Business Me

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书目名称Introduction to Partial Differential Equations
副标题A Computational Appr
编辑Aslak Tveito,Ragnar Winther
视频videohttp://file.papertrans.cn/475/474017/474017.mp4
丛书名称Texts in Applied Mathematics
图书封面Titlebook: Introduction to Partial Differential Equations; A Computational Appr Aslak Tveito,Ragnar Winther Textbook 1998 Springer Science+Business Me
描述“It is impossible to exaggerate the extent to which modern applied mathematics has been shaped and fueled by the g- eral availability of fast computers with large memories. Their impact on mathematics, both applied and pure, is comparable to the role of the telescopes in astronomy and microscopes in biology.” — Peter Lax, Siam Rev. Vol. 31 No. 4 Congratulations! You have chosen to study partial di?erential equations. That decision is a wise one; the laws of nature are written in the language of partial di?erential equations. Therefore, these equations arise as models in virtually all branches of science and technology. Our goal in this book is to help you to understand what this vast subject is about. The book is an introduction to the ?eld. We assume only that you are familiar with - sic calculus and elementary linear algebra. Some experience with ordinary di?erential equations would also be an advantage. Introductory courses in partial di?erential equations are given all over the world in various forms. The traditional approach to the subject is to introduce a number of analytical techniques, enabling the student to - rive exact solutions of some simpli?ed problems. Students who
出版日期Textbook 1998
关键词Boundary value problem; Fourier series; Maximum; calculus; differential equation; numerical methods; parti
版次1
doihttps://doi.org/10.1007/b98967
isbn_softcover978-1-4757-7172-5
isbn_ebook978-0-387-22773-3Series ISSN 0939-2475 Series E-ISSN 2196-9949
issn_series 0939-2475
copyrightSpringer Science+Business Media New York 1998
The information of publication is updating

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The Wave Equation,The purpose of this chapter is to study initial-boundary value problems for the wave equation in one space dimension. In particular, we will derive formal solutions by a separation of variables technique, establish uniqueness of the solution by energy arguments, and study properties of finite difference approximations.
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Maximum Principles,The purpose of this chapter is to study maximum principles. Such principles state something about the solution of an equation without having to solve it.
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Finite Difference Schemes For The Heat Equation,we were able find an explicit formula for the solution of many partial differential equations of parabolic type. By studying these analytical solutions, we can learn a lot about the qualitative behavior of such models. This qualitative insight will also be useful in understanding more complicated equations.
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978-1-4757-7172-5Springer Science+Business Media New York 1998
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