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 |  | 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 | doi | https://doi.org/10.1007/b102052 | isbn_softcover | 978-1-4419-3643-1 | isbn_ebook | 978-0-387-23620-9 | copyright | Springer-Verlag US 2005 |
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