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Titlebook: Numerical Partial Differential Equations for Environmental Scientists and Engineers; A First Practical Co Daniel R. Lynch Textbook 2005 Spr

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发表于 2025-3-21 18:11:54 | 显示全部楼层 |阅读模式
书目名称Numerical Partial Differential Equations for Environmental Scientists and Engineers
副标题A First Practical Co
编辑Daniel R. Lynch
视频video
概述Finite Difference and Finite element methods are both covered in a unified way.The inverse material is presented in a discipline-specific way.Interdisciplinary at the graduate scientific level.Covers
图书封面Titlebook: Numerical Partial Differential Equations for Environmental Scientists and Engineers; A First Practical Co Daniel R. Lynch Textbook 2005 Spr
描述This book concerns the practical solution of Partial Differential Equations. We assume the reader knows what a PDE is - that he or she has derived some, and solved them with the limited but powerful arsenal of analytic techniques. We also assume that (s)he has gained some intuitive knowledge of their solution properties, either in the context of specific applications, or in the more abstract context of applied mathematics. We assume the reader now wants to solve PDE‘s for real, in the context of practical problems with all of their warts - awkward geometry, driven by real data, variable coefficients, nonlinearities - as they arise in real situations. The applications we envision span classical mathematical physics and the "engineering sciences" : fluid mechanics, solid mechanics, electricity and magnetism, heat and mass transfer, wave propagation. Of course, these all share a joyous interdisciplinary unity in PDE‘s. The material arises from lectures at Dartmouth College for first-year graduate students in science and engineering. That audience has shared the above motivations, and a mathematical background including: ordinary and partial differential equations; a first course in nu
出版日期Textbook 2005
关键词calculus; differential equation; finite element method; hyperbolic equation; numerical analysis; partial
版次1
doihttps://doi.org/10.1007/b102052
isbn_softcover978-1-4419-3643-1
isbn_ebook978-0-387-23620-9
copyrightSpringer-Verlag US 2005
The information of publication is updating

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irst-year graduate students in science and engineering. That audience has shared the above motivations, and a mathematical background including: ordinary and partial differential equations; a first course in nu978-1-4419-3643-1978-0-387-23620-9
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Textbook 2005rdisciplinary unity in PDE‘s. The material arises from lectures at Dartmouth College for first-year graduate students in science and engineering. That audience has shared the above motivations, and a mathematical background including: ordinary and partial differential equations; a first course in nu
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author to be of interest to follow the theory of these linearly topologised spaces quite far, since this theory can be developed in a way which closely resembles the theory of locally convex spaces. It should however be stressed that this part of chapter two is not needed for the comprehension of th
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s 1963-1964, 1967-1968, and 1971-1972. I would like to express my gratitude to my colleagues J. BRACE, S. GOLDBERG, J. HORVATH, and G. MALTESE for many stimulating and helpful discussions during these years. I am particularly indebted to H. JARCHOW (Ziirich) and D. KEIM (Frankfurt) for many suggesti
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Textbook 2005e, and solved them with the limited but powerful arsenal of analytic techniques. We also assume that (s)he has gained some intuitive knowledge of their solution properties, either in the context of specific applications, or in the more abstract context of applied mathematics. We assume the reader no
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