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Titlebook: Introduction to Numerical Analysis; J. Stoer,R. Bulirsch Textbook 19932nd edition Springer-Verlag New York 1993 Eigenvalue.Mathematica.alg

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書目名稱Introduction to Numerical Analysis
編輯J. Stoer,R. Bulirsch
視頻videohttp://file.papertrans.cn/474/473979/473979.mp4
叢書名稱Texts in Applied Mathematics
圖書封面Titlebook: Introduction to Numerical Analysis;  J. Stoer,R. Bulirsch Textbook 19932nd edition Springer-Verlag New York 1993 Eigenvalue.Mathematica.alg
描述On the occasion of this new edition, the text was enlarged by several new sections. Two sections on B-splines and their computation were added to the chapter on spline functions: Due to their special properties, their flexibility, and the availability of well-tested programs for their computation, B-splines play an important role in many applications. Also, the authors followed suggestions by many readers to supplement the chapter on elimination methods with a section dealing with the solution of large sparse systems of linear equations. Even though such systems are usually solved by iterative methods, the realm of elimination methods has been widely extended due to powerful techniques for handling sparse matrices. We will explain some of these techniques in connection with the Cholesky algorithm for solving positive definite linear systems. The chapter on eigenvalue problems was enlarged by a section on the Lanczos algorithm; the sections on the LR and QR algorithm were rewritten and now contain a description of implicit shift techniques. In order to some extent take into account the progress in the area of ordinary differential equations, a new section on implicit differential eq
出版日期Textbook 19932nd edition
關(guān)鍵詞Eigenvalue; Mathematica; algebra; calculus; differential equation; integration; interpolation; minimum; nume
版次2
doihttps://doi.org/10.1007/978-1-4757-2272-7
isbn_ebook978-1-4757-2272-7Series ISSN 0939-2475 Series E-ISSN 2196-9949
issn_series 0939-2475
copyrightSpringer-Verlag New York 1993
The information of publication is updating

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Topics in Integration,can be obtained in closed form as an algebraic expression in . and wellknown transcendental functions of .. Then . See Gr?bner and Hofreiter (1961) for a comprehensive collection of formulas describing such indefinite integrals and many important definite integrals.
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Systems of Linear Equations,e assume in addition that . and . are real, although this restriction is inessential in most of the methods. In contrast to the iterative methods (Chapter 8), the direct methods discussed here produce the solution in finitely many steps, assuming computations without roundoff errors.
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Iterative Methods for the Solution of Large Systems of Linear Equations. Some Further Methods,s relatively few nonvanishing elements. Systems of this type arise, e.g., in the application of difference methods or finite-element methods to the approximate solution of boundary-value problems in partial differential equations. The usual elimination methods (see Chapter 4) cannot normally be appl
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from the different areas of astrobiology: astronomy, biolog.The interdisciplinary field of Astrobiology constitutes a joint arena where provocative discoveries are coalescing concerning, e.g. the prevalence of exoplanets, the diversity and hardiness of life, and its increasingly likely chances for
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