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Titlebook: Difference Equations from Differential Equations; Wilbert James Lick Book 1989 Springer-Verlag Berlin, Heidelberg 1989 Algebra.algorithm.a

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發(fā)表于 2025-3-21 18:15:03 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Difference Equations from Differential Equations
編輯Wilbert James Lick
視頻videohttp://file.papertrans.cn/279/278605/278605.mp4
叢書名稱Lecture Notes in Engineering
圖書封面Titlebook: Difference Equations from Differential Equations;  Wilbert James Lick Book 1989 Springer-Verlag Berlin, Heidelberg 1989 Algebra.algorithm.a
描述In computational mechanics, the first and quite often the most difficult part of a problem is the correct formulation of the problem. This is usually done in terms of differential equations. Once this formulation is accomplished, the translation of the governing differential equations into accurate, stable, and physically realistic difference equations can be a formidable task. By comparison, the numerical evaluation of these difference equations in order to obtain a solution is usually much simpler. The present notes are primarily concerned with the second task, that of deriving accurate, stable, and physically realistic difference equations from the governing differential equations. Procedures for the numerical evaluation of these difference equations are also presented. In later applications, the physical formulation of the problem and the properties of the numerical solution, especially as they are related to the numerical approximations inherent in the solution, are discussed. There are numerous ways to form difference equations from differential equations.
出版日期Book 1989
關(guān)鍵詞Algebra; algorithm; algorithms; hyperbolic equation; linear algebra; numerical methods; partial differenti
版次1
doihttps://doi.org/10.1007/978-3-642-83701-2
isbn_softcover978-3-540-50739-0
isbn_ebook978-3-642-83701-2Series ISSN 0176-5035
issn_series 0176-5035
copyrightSpringer-Verlag Berlin, Heidelberg 1989
The information of publication is updating

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Book 1989done in terms of differential equations. Once this formulation is accomplished, the translation of the governing differential equations into accurate, stable, and physically realistic difference equations can be a formidable task. By comparison, the numerical evaluation of these difference equations
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Ordinary Differential Equations,c difference equations from ordinary differential equations. A secondary purpose is to develop the proper ideas and procedures for later use in deriving difference equations from partial differential equations.
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Hyperbolic Equations,l be functions of x, y, ?, ??/?x, and ??/?y. For b. ? 4ac > 0, the equation is hyperbolic and two families of real characteristics exist. As mentioned previously, characteristics are lines across which derivatives of the dependent variables may be discontinuous and along which infinitesimal disturba
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Applications,e is to demonstrate the use of the basic methods and the interactions between the physical and mathematical formulations of the problem. Each section begins with a brief description of a problem, especially emphasizing certain aspects of the problem which need to be approximated in order to obtain a
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