Nonlinear Analysis On Manifolds Monge Amp Re Equations
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Nonlinear Analysis On Manifolds Monge Ampere Equations
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Author : Thierry Aubin
language : en
Publisher:
Release Date : 1982
Nonlinear Analysis On Manifolds Monge Ampere Equations written by Thierry Aubin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with categories.
Variational Methods
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Author : John M. Neuberger
language : en
Publisher: American Mathematical Soc.
Release Date : 2004
Variational Methods written by John M. Neuberger and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
A conference was organized to discuss research in variational methods as applied to nonlinear elliptic PDE. This volume resulted from that gathering. Included in this title are both survey and research papers that address important open questions and offer suggestions on analytical and numerical techniques for solving those open problems. It is suitable for graduate students and research mathematicians interested in elliptic partial differential equations.
Elliptic And Parabolic Equations
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Author : Joachim Escher
language : en
Publisher: Springer
Release Date : 2015-06-04
Elliptic And Parabolic Equations written by Joachim Escher and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-04 with Mathematics categories.
The international workshop on which this proceedings volume is based on brought together leading researchers in the field of elliptic and parabolic equations. Particular emphasis was put on the interaction between well-established scientists and emerging young mathematicians, as well as on exploring new connections between pure and applied mathematics. The volume contains material derived after the workshop taking up the impetus to continue collaboration and to incorporate additional new results and insights.
Mathematical And Quantum Aspects Of Relativity And Cosmology
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Author : Spiros Cotsakis
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-01-24
Mathematical And Quantum Aspects Of Relativity And Cosmology written by Spiros Cotsakis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-24 with Science categories.
This book is written in a pedagogical style intelligible for graduate students. It reviews recent progress in black-hole and wormhole theory and in mathematical cosmology within the framework of Einstein's field equations and beyond, including quantum effects. This collection of essays, written by leading scientists of long standing reputation, should become an indispensable source for future research.
Discrete And Continuous Dynamical Systems
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Author :
language : en
Publisher:
Release Date : 2006
Discrete And Continuous Dynamical Systems written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Differentiable dynamical systems categories.
Nonlinear Analysis On Manifolds Monge Amp Re Equations
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Author : Thierry Aubin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Nonlinear Analysis On Manifolds Monge Amp Re Equations written by Thierry Aubin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This volume is intended to allow mathematicians and physicists, especially analysts, to learn about nonlinear problems which arise in Riemannian Geometry. Analysis on Riemannian manifolds is a field currently undergoing great development. More and more, analysis proves to be a very powerful means for solving geometrical problems. Conversely, geometry may help us to solve certain problems in analysis. There are several reasons why the topic is difficult and interesting. It is very large and almost unexplored. On the other hand, geometric problems often lead to limiting cases of known problems in analysis, sometimes there is even more than one approach, and the already existing theoretical studies are inadequate to solve them. Each problem has its own particular difficulties. Nevertheless there exist some standard methods which are useful and which we must know to apply them. One should not forget that our problems are motivated by geometry, and that a geometrical argument may simplify the problem under investigation. Examples of this kind are still too rare. This work is neither a systematic study of a mathematical field nor the presentation of a lot of theoretical knowledge. On the contrary, I do my best to limit the text to the essential knowledge. I define as few concepts as possible and give only basic theorems which are useful for our topic. But I hope that the reader will find this sufficient to solve other geometrical problems by analysis.
Efficient Approximation Methods For The Global Long Term Behavior Of Dynamical Systems
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Author : Péter Koltai
language : en
Publisher: Logos Verlag Berlin GmbH
Release Date : 2011
Efficient Approximation Methods For The Global Long Term Behavior Of Dynamical Systems written by Péter Koltai and has been published by Logos Verlag Berlin GmbH this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with categories.
Fur die Analyse des Langzeitverhaltens dynamischer Systeme werden in dieser Dissertation drei neue Ansatze, basierend auf Transferoperator-Methoden, zur Entwicklung effizienter Algorithmen vorgestellt. Zuerst leiten wir eine Diskretisierung auf dunnen Gittern her, um den Fluch der Dimension in den Griff zu bekommen. Die zweite Methode behandelt den infinitesimalen Generator der Transferoperator-Halbgruppe fur zeit-kontinuierliche Systeme. Als Drittes benutzen wir mean-field-Theorie, um die Dynamik von Subsystemen zu beschreiben, wobei besonderes Augenmerk auf die Konformationsanalyse in der Molekuldynamik gerichtet wird. Des Weiteren werden Bedingungen hergeleitet, unter welchen die Galerkin-Projektion des Transferoperators mit einer kleinen zufalligen Storung des zugrunde liegenden Systems in Verbindung gebracht werden kann. In this thesis three new transfer operator based approaches are developed for the analysis of the long-term behavior of dynamical systems. First, a sparse grid discretization is derived in order to deal with the "curse of dimension". The second method considers the infinitesimal generator of the transfer operator semigroup for continuous-time systems. The third method uses mean field theory to describe the dynamics of subsystems; here the main attention is devoted to conformation analysis in molecular dynamics. Further, conditions are derived such that the Galerkin projection of the transfer operator can be related to a small random perturbation of the underlying system.
Spline Functions On Triangulations
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Author : Ming-Jun Lai
language : en
Publisher: Cambridge University Press
Release Date : 2007-04-19
Spline Functions On Triangulations written by Ming-Jun Lai and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-19 with Mathematics categories.
Comprehensive graduate text offering a detailed mathematical treatment of polynomial splines on triangulations.
Numerical Analysis Of Parameterized Nonlinear Equations
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Author : Werner C. Rheinbolt
language : en
Publisher: Wiley-Interscience
Release Date : 1986
Numerical Analysis Of Parameterized Nonlinear Equations written by Werner C. Rheinbolt and has been published by Wiley-Interscience this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.
One of the leading experts in the field discusses recent developments in the numerical analysis of nonlinear equations involving a finite number of parameters. Shows how these equations can be developed on a differential geometric basis. Topics include equilibrium manifolds, path-tracing on manifolds, aspects of computational stability analysis, discretization errors of parameterized equations, and computational error assessment and related questions.
Nonlinear Analysis On Manifolds Sobolev Spaces And Inequalities
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Author : Emmanuel Hebey
language : en
Publisher: American Mathematical Soc.
Release Date :
Nonlinear Analysis On Manifolds Sobolev Spaces And Inequalities written by Emmanuel Hebey and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.