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The Method of Weighted Residuals and Variational Principles
Bruce A. Finlayson
出版SIAM, 2013-12-30
主題Mathematics / Differential Equations / PartialMathematics / Differential Equations / OrdinaryScience / Mechanics / FluidsComputers / Computer SimulationScience / Physics / Mathematical & Computational
ISBN16119732369781611973235
URLhttp://books.google.com.hk/books?id=3W3PAgAAQBAJ&hl=&source=gbs_api
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註釋This classic book covers the solution of differential equations in science and engineering in such as way as to provide an introduction for novices before progressing toward increasingly more difficult problems. The Method of Weighted Residuals and Variational Principles describes variational principles, including how to find them and how to use them to construct error bounds and create stationary principles. The book also illustrates how to use simple methods to find approximate solutions, shows how to use the finite element method for more complex problems, and provides detailed information on error bounds. Problem sets make this book ideal for self-study or as a course text.