书目名称 | Partial Differential Equations |
副标题 | Modelling and Numeri |
编辑 | Roland Glowinski,Pekka Neittaanmäki |
视频video | |
概述 | Covers a wides spectrum of topics related to the numerical solution of partial differential equations.Serves as state-of-the-art reference for the scientist or practitioner solving problems in science |
丛书名称 | Computational Methods in Applied Sciences |
图书封面 |  |
描述 | For more than 250 years partial di?erential equations have been clearly the most important tool available to mankind in order to understand a large variety of phenomena, natural at ?rst and then those originating from - man activity and technological development. Mechanics, physics and their engineering applications were the ?rst to bene?t from the impact of partial di?erential equations on modeling and design, but a little less than a century ago the Schr¨ odinger equation was the key opening the door to the application of partial di?erential equations to quantum chemistry, for small atomic and molecular systems at ?rst, but then for systems of fast growing complexity. The place of partial di?erential equations in mathematics is a very particular one: initially, the partial di?erential equations modeling natural phenomena were derived by combining calculus with physical reasoning in order to - press conservation laws and principles in partial di?erential equation form, leading to the wave equation, the heat equation, the equations of elasticity, the Euler and Navier–Stokes equations for ?uids, the Maxwell equations of electro-magnetics, etc. It is in order to solve ‘constructively |
出版日期 | Book 2008 |
关键词 | Schrödinger equation; differential equation; finite element method; fluid mechanics; geology; geometry; ma |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4020-8758-5 |
isbn_softcover | 978-90-481-7979-4 |
isbn_ebook | 978-1-4020-8758-5Series ISSN 1871-3033 Series E-ISSN 2543-0203 |
issn_series | 1871-3033 |
copyright | Springer Science+Business Media B.V. 2008 |