Factorization of Boundary Value Problems Using the Invariant Embedding Method Book

Factorization of Boundary Value Problems Using the Invariant Embedding Method


  • Author : Jacques Henry
  • Publisher : Elsevier
  • Release Date : 2016-11-09
  • Genre: Mathematics
  • Pages : 256
  • ISBN 10 : 9780081010907

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Factorization of Boundary Value Problems Using the Invariant Embedding Method Excerpt :

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

System Modeling and Optimization Book

System Modeling and Optimization


  • Author : Adam Korytowski
  • Publisher : Springer
  • Release Date : 2009-10-27
  • Genre: Technology & Engineering
  • Pages : 507
  • ISBN 10 : 9783642048029

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System Modeling and Optimization Excerpt :

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 Book

Modeling Simulation and Optimization


  • Author : Shkelzen Cakaj
  • Publisher : BoD – Books on Demand
  • Release Date : 2010-04-01
  • Genre: Computers
  • Pages : 314
  • ISBN 10 : 9789533070568

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Modeling Simulation and Optimization Excerpt :

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.

Free and Moving Boundaries Book

Free and Moving Boundaries


  • Author : Roland Glowinski
  • Publisher : CRC Press
  • Release Date : 2007-06-06
  • Genre: Mathematics
  • Pages : 472
  • ISBN 10 : 1420011154

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Free and Moving Boundaries Excerpt :

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 moving boundaries in fluid structure couple systems, arteries, shape stabilization level methods, family of moving geometries, and boundary control. Using numerical analysis, the contributors examine the problems of optimal control theory applied to PDEs arising from continuum mechanics. The book presents several applications to electromagnetic devices, flow, control, computing, images analysis, topological changes, and free boundaries. It specifically focuses on the topics of boundary variation and control, dynamical control of geometry, optimization, free boundary problems, stabilization of structures, controlling fluid-structure devices, electromagnetism 3D, and inverse problems arising in areas such as biomathematics. Free and Moving Boundaries: Analysis, Simulation and Control explains why the boundary control of physical systems can be viewed as a moving boundary control, empowering the future research of select algebraic areas.

System Modeling and Optimization Book

System Modeling and Optimization


  • Author : John Cagnol
  • Publisher : Springer
  • Release Date : 2006-01-15
  • Genre: Technology & Engineering
  • Pages : 306
  • ISBN 10 : 9780387234670

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System Modeling and Optimization Excerpt :

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.

Codes for Boundary Value Problems in Ordinary Differential Equations Book

Codes for Boundary Value Problems in Ordinary Differential Equations


  • Author : B. Childs
  • Publisher : Springer Science & Business Media
  • Release Date : 1979-10
  • Genre: Computers
  • Pages : 388
  • ISBN 10 : 3540095543

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Codes for Boundary Value Problems in Ordinary Differential Equations Excerpt :

Conceptually, a database consists of objects and relationships. Object Relationship Notation (ORN) is a simple notation that more precisely defines relationships by combining UML multiplicities with uniquely defined referential actions. Object Relationship Notation (ORN) for Database Applications: Enhancing the Modeling and Implementation of Associations shows how ORN can be used in UML class diagrams & database definition languages (DDLs) to better model & implement relationships & thus more productively develop database applications. For the database developer, it presents many examples of relationships modeled using ORN-extended class diagrams & shows how these relationships are easily mapped to an ORN-extended SQL or Object DDL. For the DBMS developer, it presents the specifications & algorithms needed to implement ORN in a relational and object DBMS. This book also describes tools that can be downloaded or accessed via the Web. These tools allow databases to be modeled using ORN and implemented using automatic code generation that adds ORN support to Microsoft SQL Server and Progress Object Store.

Optimal Control and Partial Differential Equations Book

Optimal Control and Partial Differential Equations


  • Author : José Luis Menaldi
  • Publisher : IOS Press
  • Release Date : 2001
  • Genre: Mathematics
  • Pages : 569
  • ISBN 10 : 1586030965

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Optimal Control and Partial Differential Equations Excerpt :

This volume contains more than sixty invited papers of international wellknown scientists in the fields where Alain Bensoussan's contributions have been particularly important: filtering and control of stochastic systems, variationnal problems, applications to economy and finance, numerical analysis... In particular, the extended texts of the lectures of Professors Jens Frehse, Hitashi Ishii, Jacques-Louis Lions, Sanjoy Mitter, Umberto Mosco, Bernt Oksendal, George Papanicolaou, A. Shiryaev, given in the Conference held in Paris on December 4th, 2000 in honor of Professor Alain Bensoussan are included.

Hodge Decomposition   A Method for Solving Boundary Value Problems Book

Hodge Decomposition A Method for Solving Boundary Value Problems


  • Author : Günter Schwarz
  • Publisher : Springer
  • Release Date : 2006-11-14
  • Genre: Mathematics
  • Pages : 164
  • ISBN 10 : 9783540494034

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Hodge Decomposition A Method for Solving Boundary Value Problems Excerpt :

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.

Applied Mechanics Reviews Book

Applied Mechanics Reviews


  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 1973
  • Genre: Mechanics, Applied
  • Pages : null
  • ISBN 10 : UCAL:C2682441

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Applied Mechanics Reviews Excerpt :

Nonlinear Filtering Book

Nonlinear Filtering


  • Author : Jitendra R. Raol
  • Publisher : CRC Press
  • Release Date : 2017-07-12
  • Genre: Technology & Engineering
  • Pages : 556
  • ISBN 10 : 9781498745185

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Nonlinear Filtering Excerpt :

Nonlinear Filtering covers linear and nonlinear filtering in a comprehensive manner, with appropriate theoretic and practical development. Aspects of modeling, estimation, recursive filtering, linear filtering, and nonlinear filtering are presented with appropriate and sufficient mathematics. A modeling-control-system approach is used when applicable, and detailed practical applications are presented to elucidate the analysis and filtering concepts. MATLAB routines are included, and examples from a wide range of engineering applications - including aerospace, automated manufacturing, robotics, and advanced control systems - are referenced throughout the text.

Boundary Value Problems for Engineers Book

Boundary Value Problems for Engineers


  • Author : Ali Ümit Keskin
  • Publisher : Springer
  • Release Date : 2019-06-19
  • Genre: Technology & Engineering
  • Pages : 517
  • ISBN 10 : 9783030210809

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Boundary Value Problems for Engineers Excerpt :

This book is designed to supplement standard texts and teaching material in the areas of differential equations in engineering such as in Electrical ,Mechanical and Biomedical engineering. Emphasis is placed on the Boundary Value Problems that are often met in these fields.This keeps the the spectrum of the book rather focussed .The book has basically emerged from the need in the authors lectures on “Advanced Numerical Methods in Biomedical Engineering” at Yeditepe University and it is aimed to assist the students in solving general and application specific problems in Science and Engineering at upper-undergraduate and graduate level.Majority of the problems given in this book are self-contained and have varying levels of difficulty to encourage the student. Problems that deal with MATLAB simulations are particularly intended to guide the student to understand the nature and demystify theoretical aspects of these problems. Relevant references are included at the end of each chapter. Here one will also find large number of software that supplements this book in the form of MATLAB script (.m files). The name of the files used for the solution of a problem are indicated at the end of each corresponding problem statement.There are also some exercises left to students as homework assignments in the book. An outstanding feature of the book is the large number and variety of the solved problems that are included in it. Some of these problems can be found relatively simple, while others are more challenging and used for research projects. All solutions to the problems and script files included in the book have been tested using recent MATLAB software.The features and the content of this book will be most useful to the students studying in Engineering fields, at different levels of their education (upper undergraduate-graduate).

Analysis and Optimization of Differential Systems Book

Analysis and Optimization of Differential Systems


  • Author : Viorel Barbu
  • Publisher : Springer Science & Business Media
  • Release Date : 2003-04-30
  • Genre: Mathematics
  • Pages : 442
  • ISBN 10 : 1402074395

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Analysis and Optimization of Differential Systems Excerpt :

Analysis and Optimization of Differential Systems focuses on the qualitative aspects of deterministic and stochastic differential equations. Areas covered include: Ordinary and partial differential systems; Optimal control of deterministic and stochastic evolution equations; Control theory of Partial Differential Equations (PDE's); Optimization methods in PDE's with numerous applications to mechanics and physics; Inverse problems; Stability theory; Abstract optimization problems; Calculus of variations; Numerical treatment of solutions to differential equations and related optimization problems. These research fields are under very active development and the present volume should be of interest to students and researchers working in applied mathematics or in system engineering. This volume contains selected contributions presented during the International Working Conference on Analysis and Optimization of Differential Systems, which was sponsored by the International Federation for Information Processing (IFIP) and held in Constanta, Romania in September 2002. Among the aims of this conference was the creation of new international contacts and collaborations, taking advantage of the new developments in Eastern Europe, particularly in Romania. The conference benefited from the support of the European Union via the EURROMMAT program.

Mathematical Reviews Book

Mathematical Reviews


  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 2006
  • Genre: Mathematics
  • Pages : null
  • ISBN 10 : UOM:39015069723651

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Mathematical Reviews Excerpt :