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Titlebook: Inclusion Methods for Nonlinear Problems; With Applications in Jürgen Herzberger Conference proceedings 2003 Springer-Verlag/Wien 2003 algo

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发表于 2025-3-21 19:33:26 | 显示全部楼层 |阅读模式
书目名称Inclusion Methods for Nonlinear Problems
副标题With Applications in
编辑Jürgen Herzberger
视频video
丛书名称Computing Supplementa
图书封面Titlebook: Inclusion Methods for Nonlinear Problems; With Applications in Jürgen Herzberger Conference proceedings 2003 Springer-Verlag/Wien 2003 algo
描述This workshop was organized with the support of GAMM, the International Association of Applied Mathematics and Mechanics, on the occasion of J. Herzberger‘s 60th birthday. GAMM is thankful to him for all the time and work he spent in the preparation and holding of the meeting. The talks presented during the workshop and the papers published in this volume are part of the field of Verification Numerics. The important subject is fostered by GAMM already since a number of years, especially also by the GAMM­ FachausschuB (special interest group) "Rechnerarithmetik und Wissenschaft­ liches Rechnen". GiHz Alefeld Karlsruhe, Dezember 2001 (President of GAMM) Preface At the end of the year 2000, about 23 scientists from many countries gathered in the beautiful city of Munich on the occasion of the International GAMM­ Workshop on "Inclusion Methods for Nonlinear Problems with Applications in Engineering, Economics and Physics" from December 15 to 18. The purpose of this meeting was to bring together representatives of research groups from Austria, Bulgaria, China, Croatia, Germany, Japan, Russia, Ukraine and Yugoslavia who in a wider sense work in the field of calculating numerical solution
出版日期Conference proceedings 2003
关键词algorithm; algorithms; applied mathematics; computer applications; numerical mathematics; operator; scient
版次1
doihttps://doi.org/10.1007/978-3-7091-6033-6
isbn_softcover978-3-211-83852-5
isbn_ebook978-3-7091-6033-6Series ISSN 0344-8029
issn_series 0344-8029
copyrightSpringer-Verlag/Wien 2003
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发表于 2025-3-22 00:19:03 | 显示全部楼层
Rounding Near Zero,ent condition is given under which elements of . have an unique additive inverse. This result can be applied to complex floating-point numbers, real and complex floating-point intervals, real and complex floating-point matrices, and real and complex floating-point interval matrices.
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Fast Inclusion and Residual Iteration for Solutions of Matrix Equations,ts have also been presented for illustrating that a very sharp verified error bound of numerical solutions can be obtained with a computational cost comparable to that for calculating an approximate solution. Moreover, it is shown using an example that a few residual iterations give extremely improved solutions with little computational cost.
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Conference proceedings 2003rger‘s 60th birthday. GAMM is thankful to him for all the time and work he spent in the preparation and holding of the meeting. The talks presented during the workshop and the papers published in this volume are part of the field of Verification Numerics. The important subject is fostered by GAMM al
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Algorithmic Differentiation with Intervals, interval inclusions are possible, but for “large” functions algorithmic methods have to be employed. In this lecture we screen the complexity of algorithmic differentiation methods, and we investigate the quality of corresponding interval inclusions of derivatives.
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Computation of a Family of Non-cosymmetrical Equilibria in a System of Nonlinear Parabolic Equation non-cosymmetrical equilibria. An application of the proposed system to population kinetics is demonstrated. Numerically computed families are presented. The dependence on model parameters is discussed.
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