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Titlebook: Validation Numerics; Theory and Applicati R. Albrecht,G. Alefeld,H. J. Stetter Book 1993 Springer-Verlag/Wien 1993 Fortran.Matrix.algorithm

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发表于 2025-3-21 17:42:01 | 显示全部楼层 |阅读模式
书目名称Validation Numerics
副标题Theory and Applicati
编辑R. Albrecht,G. Alefeld,H. J. Stetter
视频video
丛书名称Computing Supplementa
图书封面Titlebook: Validation Numerics; Theory and Applicati R. Albrecht,G. Alefeld,H. J. Stetter Book 1993 Springer-Verlag/Wien 1993 Fortran.Matrix.algorithm
描述The articles in this book give a comprehensive overview on the whole field of validated numerics. The problems covered include simultaneous systems of linear and nonlinear equations, differential and integral equations and certain applications from technical sciences. Furthermore some papers which improve the tools are included. The book is a must for scientists working in numerical analysis, computer science and in technical fields.
出版日期Book 1993
关键词Fortran; Matrix; algorithms; computer; computer algebra; computer science; expert system; numerical analysi
版次1
doihttps://doi.org/10.1007/978-3-7091-6918-6
isbn_softcover978-3-211-82451-1
isbn_ebook978-3-7091-6918-6Series ISSN 0344-8029
issn_series 0344-8029
copyrightSpringer-Verlag/Wien 1993
The information of publication is updating

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发表于 2025-3-21 22:39:27 | 显示全部楼层
Verification in Computer Algebra Systems,tions of algebraic algorithms in floating-point arithmetic..These ideas are developed considering the integration of rational functions, the choice of basis in multivariate polynomial interpolation, and the computation of zeros of multivariate polynomial systems.
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On a Unified Concept of Mathematics,e structureblock for questions (with two or more answers) in structuregrams, which not only makes the structuregrams more representative and comprehensive but also corrects certain shortcomings and makes them more adapted to the structure of programming languages.
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On Some Properties of an Interval Newton Type Method and its Modification,itzian second derivative which vanishes at the root of the equation. A modification of the method with higher order of convergence is proposed. An algorithm with result verification is formulated and some numerical experiments are reported.
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The Wrapping Effect, Ellipsoid Arithmetic, Stability and Confidence Regions,nterval ellipsoid arithmetic..Applications are given to the verification of stability regions for nonlinear discrete dynamical systems and to the computation of rigorous confidence regions for nonlinear functions of normally distributed random vectors.
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发表于 2025-3-23 01:32:56 | 显示全部楼层
0344-8029 systems of linear and nonlinear equations, differential and integral equations and certain applications from technical sciences. Furthermore some papers which improve the tools are included. The book is a must for scientists working in numerical analysis, computer science and in technical fields.978
发表于 2025-3-23 08:53:43 | 显示全部楼层
On a Unified Concept of Mathematics,this paper I wish to submit some thoughts justifing my belief in the unification of Mathematics. Besides that, I make a proposal for replacement of the structureblock for questions (with two or more answers) in structuregrams, which not only makes the structuregrams more representative and comprehen
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