[Télécharger] Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms de Peter Deuflhard livre En ligne
Télécharger Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms de Peter Deuflhard Pdf Epub
Télécharger "Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms" de Peter Deuflhard Livres Pdf Epub
Auteur : Peter Deuflhard
Catégorie : Livres anglais et étrangers,Science,Mathematics
Broché : * pages
Éditeur : *
Langue : Français, Anglais
This book deals with the efficient numerical solution of challenging nonlinear problems in science and engineering, both in finite dimension (algebraic systems) and in infinite dimension (ordinary and partial differential equations). Its focus is on local and global Newton methods for direct problems or Gauss-Newton methods for inverse problems. The term 'affine invariance' means that the presented algorithms and their convergence analysis are invariant under one out of four subclasses of affine transformations of the problem to be solved. Compared to traditional textbooks, the distinguishing affine invariance approach leads to shorter theorems and proofs and permits the construction of fully adaptive algorithms. Lots of numerical illustrations, comparison tables, and exercises make the text useful in computational mathematics classes. At the same time, the book opens many directions for possible future research.
Télécharger Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms de Peter Deuflhard Livre PDF Gratuit
Numerical Mathematics - NewtonLib ~ "Newton Methods for Nonlinear Problems -- Affine Invariance and Adaptive Algorithms" This monograph presents a scheme to construct adaptive Newton-type algorithms in close connection with an associated affine invariant convergence analysis. Part of these algorithms are presented as informal programs in the text. Some, but not all of the described algorithms have been worked out in detail .
Software / Zuse Institute Berlin (ZIB) ~ [no longer maintained] Contains Newton, Gauss-Newton, IVP, and BVP codes. Contact: Martin Weiser (weiser zib) NewtonLib [no longer maintained] Contains software for Peter Deuflhard's textbook "Newton Methods for Nonlinear Problems-Affine Invariance and Adaptive Algorithms“. Contact: Martin Weiser (weiser zib) Visualization. Amira and Avizo
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Newton's method - Simple English Wikipedia, the free ~ Newton's method provides a way for finding the real zeros of a function.This algorithm is sometimes called the Newton–Raphson method, named after Sir Isaac Newton and Joseph Raphson.. The method uses the derivative of the function in order to find its roots. An initial "guess value" for the location of the zero must be made.
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Kantorovich theorem - Wikipedia ~ The Kantorovich theorem, or Newton–Kantorovich theorem, is a mathematical statement on the semi-local convergence of Newton's method.It was first stated by Leonid Kantorovich in 1948. It is similar to the form of the Banach fixed-point theorem, although it states existence and uniqueness of a zero rather than a fixed point.. Newton's method constructs a sequence of points that under certain .
Peter Deuflhard – Wikipedia ~ Newton Methods for Nonlinear Problems. Affine Invariance and Adaptive Algorithms, Second printed edition. Series Computational Mathematics 35, Springer (2006) Mit M. Weiser: Numerische Mathematik III. Adaptive Lösung partieller Differentialgleichungen, 1. Auflage, de Gruyter: Berlin (2011) Weblinks
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ニュートン＝カントロビッチの定理 - Wikipedia ~ Deuflhard, P.: Newton Methods for Nonlinear Problems. Affine Invariance and Adaptive Algorithms., Springer, Berlin 2004, 3-540-21099-7 (Springer Series in Computational Mathematics, Vol. 35) Deuflhard, P., & Heindl, G. (1979). Affine invariant convergence theorems for Newton’s method and extensions to related methods.
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Phương pháp Newton – Wikipedia tiếng Việt ~ P. Deuflhard, Newton Methods for Nonlinear Problems. Affine Invariance and Adaptive Algorithms. Springer Series in Computational Mathematics, Vol. 35. Springer, Berlin, 2004. ISBN 3-540-21099-7. C. T. Kelley, Solving Nonlinear Equations with Newton's Method, no 1 in Fundamentals of Algorithms, SIAM, 2003. ISBN 0-89871-546-6.
Newton-módszer – Wikipédia ~ P. Deuflhard, Newton Methods for Nonlinear Problems. Affine Invariance and Adaptive Algorithms. Springer Series in Computational Mathematics, Vol. 35. Springer, Berlin, 2004. ISBN 3-540-21099-7. C. T. Kelley, Solving Nonlinear Equations with Newton's Method, no 1 in Fundamentals of Algorithms, SIAM, 2003. ISBN 0-89871-546-6.
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Método de Newton - Wikipedia, la enciclopedia libre ~ P. Deuflhard, Newton Methods for Nonlinear Problems. Affine Invariance and Adaptive Algorithms. Springer Series in Computational Mathematics, Vol. 35. Springer, Berlín, 2004. ISBN 3-540-21099-7. C. T. Kelley, Solving Nonlinear Equations with Newton's Method, no 1 in Fundamentals of Algorithms, SIAM, 2003. ISBN 0-89871-546-6.
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SIAM (Society for Industrial and Applied Mathematics) ~ Practical Methods for Optimal Control Using Nonlinear Programming, Third Edition Author(s): John T. Betts Published: 2020 Pages: 748 ISBN: 978-1-61197-618-2 eISBN: 978-1-61197-619-9 Riemann Problems and Jupyter Solutions
Méthode de Newton — Wikipédia ~ En analyse numérique, la méthode de Newton ou méthode de Newton-Raphson [1] est, dans son application la plus simple, un algorithme efficace pour trouver numériquement une approximation précise d'un zéro (ou racine) d'une fonction réelle d'une variable réelle.Cette méthode doit son nom aux mathématiciens anglais Isaac Newton (1643-1727) et Joseph Raphson (peut-être 1648-1715), qui .
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