Factorization Of Boundary Value Problems Using The Invariant Embedding Method
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Factorization Of Boundary Value Problems Using The Invariant Embedding Method
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Author : Jacques Henry
language : en
Publisher: Elsevier
Release Date : 2016-11-09
Factorization Of Boundary Value Problems Using The Invariant Embedding Method written by Jacques Henry and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-09 with Mathematics categories.
Factorization Method for Boundary Value Problems by Invariant Embedding presents a new theory for linear elliptic boundary value problems. The authors provide a transformation of the problem in two initial value problems that are uncoupled, enabling you to solve these successively. This method appears similar to the Gauss block factorization of the matrix, obtained in finite dimension after discretization of the problem. This proposed method is comparable to the computation of optimal feedbacks for linear quadratic control problems. - Develops the invariant embedding technique for boundary value problems - Makes a link between control theory, boundary value problems and the Gauss factorization - Presents a new theory for successively solving linear elliptic boundary value problems - Includes a transformation in two initial value problems that are uncoupled
Factorization Of Boundary Value Problems Using The Invariant Embedding Method
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Author : Jacques Henry
language : en
Publisher:
Release Date : 2016
Factorization Of Boundary Value Problems Using The Invariant Embedding Method written by Jacques Henry and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Boundary value problems categories.
System Modeling And Optimization
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Author : Adam Korytowski
language : en
Publisher: Springer
Release Date : 2009-10-27
System Modeling And Optimization written by Adam Korytowski and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-27 with Technology & Engineering categories.
rd This book constitutes a collection of extended versions of papers presented at the 23 IFIP TC7 Conference on System Modeling and Optimization, which was held in C- cow, Poland, on July 23–27, 2007. It contains 7 plenary and 22 contributed articles, the latter selected via a peer reviewing process. Most of the papers are concerned with optimization and optimal control. Some of them deal with practical issues, e. g. , p- formance-based design for seismic risk reduction, or evolutionary optimization in structural engineering. Many contributions concern optimization of infini- dimensional systems, ranging from a general overview of the variational analysis, through optimization and sensitivity analysis of PDE systems, to optimal control of neutral systems. A significant group of papers is devoted to shape analysis and opti- zation. Sufficient optimality conditions for ODE problems, and stochastic control methods applied to mathematical finance, are also investigated. The remaining papers are on mathematical programming, modeling, and information technology. The conference was the 23rd event in the series of such meetings biennially org- ized under the auspices of the Seventh Technical Committee “Systems Modeling and Optimization” of the International Federation for Information Processing (IFIP TC7).
Modeling Simulation And Optimization
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Author : Shkelzen Cakaj
language : en
Publisher: BoD – Books on Demand
Release Date : 2010-04-01
Modeling Simulation And Optimization written by Shkelzen Cakaj and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-01 with Computers categories.
Parametric representation of shapes, mechanical components modeling with 3D visualization techniques using object oriented programming, the well known golden ratio application on vertical and horizontal displacement investigations of the ground surface, spatial modeling and simulating of dynamic continuous fluid flow process, simulation model for waste-water treatment, an interaction of tilt and illumination conditions at flight simulation and errors in taxiing performance, plant layout optimal plot plan, atmospheric modeling for weather prediction, a stochastic search method that explores the solutions for hill climbing process, cellular automata simulations, thyristor switching characteristics simulation, and simulation framework toward bandwidth quantization and measurement, are all topics with appropriate results from different research backgrounds focused on tolerance analysis and optimal control provided in this book.
Operator Methods For Optimal Control Problems
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Author : Whei-Mei Lee
language : en
Publisher: CRC Press
Release Date : 1987-08-31
Operator Methods For Optimal Control Problems written by Whei-Mei Lee and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-08-31 with Mathematics categories.
System Modeling And Optimization
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Author : John Cagnol
language : en
Publisher: Springer
Release Date : 2006-01-15
System Modeling And Optimization written by John Cagnol and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-15 with Technology & Engineering categories.
System Modeling and Optimization is an indispensable reference for anyone interested in the recent advances in these two disciplines. The book collects, for the first time, selected articles from the 21st and most recent IFIP TC 7 conference in Sophia Antipolis, France. Applied mathematicians and computer scientists can attest to the ever-growing influence of these two subjects. The practical applications of system modeling and optimization can be seen in a number of fields: environmental science, transport and telecommunications, image analysis, free boundary problems, bioscience, and non-cylindrical evolution control, to name just a few. New developments in each of these fields have contributed to a more complex understanding of both system modeling and optimization. Editors John Cagnol and Jean-Paul Zolésio, chairs of the conference, have assembled System Modeling and Optimization to present the most up-to-date developments to professionals and academics alike.
Optimal Feedback For Stochastic Linear Quadratic Control And Backward Stochastic Riccati Equations In Infinite Dimensions
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Author : Qi Lü
language : en
Publisher: American Mathematical Society
Release Date : 2024-03-18
Optimal Feedback For Stochastic Linear Quadratic Control And Backward Stochastic Riccati Equations In Infinite Dimensions written by Qi Lü and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-18 with Mathematics categories.
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Free And Moving Boundaries
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Author : Roland Glowinski
language : en
Publisher: CRC Press
Release Date : 2007-06-06
Free And Moving Boundaries written by Roland Glowinski and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-06 with Mathematics categories.
Addressing algebraic problems found in biomathematics and energy, Free and Moving Boundaries: Analysis, Simulation and Control discusses moving boundary and boundary control in systems described by partial differential equations (PDEs). With contributions from international experts, the book emphasizes numerical and theoretical control of mo
Hodge Decomposition A Method For Solving Boundary Value Problems
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Author : Günter Schwarz
language : en
Publisher: Springer
Release Date : 2006-11-14
Hodge Decomposition A Method For Solving Boundary Value Problems written by Günter Schwarz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Hodge theory is a standard tool in characterizing differ- ential complexes and the topology of manifolds. This book is a study of the Hodge-Kodaira and related decompositions on manifolds with boundary under mainly analytic aspects. It aims at developing a method for solving boundary value problems. Analysing a Dirichlet form on the exterior algebra bundle allows to give a refined version of the classical decomposition results of Morrey. A projection technique leads to existence and regularity theorems for a wide class of boundary value problems for differential forms and vector fields. The book links aspects of the geometry of manifolds with the theory of partial differential equations. It is intended to be comprehensible for graduate students and mathematicians working in either of these fields.
La M Thode De Factorisation Des Probl Mes Aux Limites Par Plongement Invariant
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Author : Jacques Henry
language : fr
Publisher: ISTE Group
Release Date : 2016-04-01
La M Thode De Factorisation Des Probl Mes Aux Limites Par Plongement Invariant written by Jacques Henry and has been published by ISTE Group this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-01 with Boundary value problems categories.
Cet ouvrage présente une nouvelle formulation équivalente, dite « factorisée », pour des problèmes aux limites pour des équations aux dérivées partielles linéaires elliptiques : il reprend pour cela la méthode du plongement invariant de Richard Bellman, bien connue pour obtenir la synthèse du contrôle optimal en boucle fermée, et l’applique à la résolution des problèmes aux limites, mais spatialement. On obtient ainsi une formulation composée de deux problèmes de Cauchy découplés ainsi qu’une équation de Riccati pour des opérateurs de type Dirichlet-Neumann. Après avoir présenté et justifié le calcul formel de factorisation sur un « cas modèle » volontairement simple, le domaine d’utilisation de cette méthode est exploré, et notamment son application dans des situations plus complexes. Ainsi, sur une version discrétisée du problème, le lien est établi entre le plongement invariant et la factorisation de Gauss. Enfin, l’ouvrage étudie la façon dont la méthode de factorisation peut s’étendre à d’autres équations linéaires classiques de type elliptique et à la factorisation QR.