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Titlebook: Numerical Approximation of Hyperbolic Systems of Conservation Laws; Edwige Godlewski,Pierre-Arnaud Raviart Textbook 19961st edition Spring

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發(fā)表于 2025-3-21 17:46:39 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Numerical Approximation of Hyperbolic Systems of Conservation Laws
編輯Edwige Godlewski,Pierre-Arnaud Raviart
視頻videohttp://file.papertrans.cn/669/668956/668956.mp4
叢書名稱Applied Mathematical Sciences
圖書封面Titlebook: Numerical Approximation of Hyperbolic Systems of Conservation Laws;  Edwige Godlewski,Pierre-Arnaud Raviart Textbook 19961st edition Spring
描述This work is devoted to the theory and approximation of nonlinear hyper- bolic systems of conservation laws in one or two space variables. It follows directly a previous publication on hyperbolic systems of conservation laws by the same authors, and we shall make frequent references to Godlewski and Raviart (1991) (hereafter noted G. R. ), though the present volume can be read independently. This earlier publication, apart from a first chap- ter, especially covered the scalar case. Thus, we shall detail here neither the mathematical theory of multidimensional scalar conservation laws nor their approximation in the one-dimensional case by finite-difference con- servative schemes, both of which were treated in G. R. , but we shall mostly consider systems. The theory for systems is in fact much more difficult and not at all completed. This explains why we shall mainly concentrate on some theoretical aspects that are needed in the applications, such as the solution of the Riemann problem, with occasional insights into more sophisticated problems. The present book is divided into six chapters, including an introductory chapter. For the reader‘s convenience, we shall resume in this Intro
出版日期Textbook 19961st edition
關(guān)鍵詞Approximation; Finite; Mathematica; Scala; Scheme; conservation law; dynamics; hyperbolic system; online; sol
版次1
doihttps://doi.org/10.1007/978-1-4612-0713-9
isbn_ebook978-1-4612-0713-9Series ISSN 0066-5452 Series E-ISSN 2196-968X
issn_series 0066-5452
copyrightSpringer Science+Business Media New York 1996
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https://doi.org/10.1007/978-1-4612-0713-9Approximation; Finite; Mathematica; Scala; Scheme; conservation law; dynamics; hyperbolic system; online; sol
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Springer Science+Business Media New York 1996
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Gas dynamics and reacting flows,Let us consider a fluid in a local thermodynamical equilibrium. Then we know from thermodynamics that the thermodynamical state of the fluid is completely determined by any two thermodynamic variables. Most often, we shall note by the same letter the corresponding mathematical functions, though they differ. For instance, we shall use
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The case of multidimensional systems,We shall mainly consider in this section a two-dimensional . × . hyperbolic system ..
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0066-5452 sticated problems. The present book is divided into six chapters, including an introductory chapter. For the reader‘s convenience, we shall resume in this Intro978-1-4612-0713-9Series ISSN 0066-5452 Series E-ISSN 2196-968X
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linical need is there. Over 50% of adults have one or more thyroid nodules. Surgical excision of all nodules is certainly neither practical nor desirable. Enter FNA, a minimally invasive cellular sampling method that has proven to be a highly useful screening test for thyroid cancer. Because of it,
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