Factorization of Boundary Value Problems Using the Invariant Embedding Method

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

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  • Author : Jacques Henry
  • Publisher : Elsevier
  • Pages : 256 pages
  • ISBN : 0081010907
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKFactorization of Boundary Value Problems Using the Invariant Embedding Method

Factorization of Boundary Value Problems Using the Invariant Embedding Method

Factorization of Boundary Value Problems Using the Invariant Embedding Method
  • Author : Jacques Henry,A. M. Ramos
  • Publisher : Elsevier
  • Release : 09 November 2016
GET THIS BOOKFactorization of Boundary Value Problems Using the Invariant Embedding Method

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

Modeling Simulation and Optimization

Modeling Simulation and Optimization
  • Author : Shkelzen Cakaj
  • Publisher : BoD – Books on Demand
  • Release : 01 April 2010
GET THIS BOOKModeling Simulation and Optimization

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

System Modeling and Optimization

System Modeling and Optimization
  • Author : Adam Korytowski,Maciej Szymkat,Kazimierz Malanowski,Wojciech Mitkowski
  • Publisher : Springer
  • Release : 27 October 2009
GET THIS BOOKSystem Modeling and Optimization

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

Fourier Series, Transforms, and Boundary Value Problems

Fourier Series, Transforms, and Boundary Value Problems
  • Author : J. Ray Hanna,John H. Rowland
  • Publisher : Courier Corporation
  • Release : 11 June 2008
GET THIS BOOKFourier Series, Transforms, and Boundary Value Problems

This volume introduces Fourier and transform methods for solutions to boundary value problems associated with natural phenomena. Unlike most treatments, it emphasizes basic concepts and techniques rather than theory. Many of the exercises include solutions, with detailed outlines that make it easy to follow the appropriate sequence of steps. 1990 edition.

Traveling Wave Analysis of Partial Differential Equations

Traveling Wave Analysis of Partial Differential Equations
  • Author : Graham Griffiths,William E. Schiesser
  • Publisher : Academic Press
  • Release : 09 December 2010
GET THIS BOOKTraveling Wave Analysis of Partial Differential Equations

Although the Partial Differential Equations (PDE) models that are now studied are usually beyond traditional mathematical analysis, the numerical methods that are being developed and used require testing and validation. This is often done with PDEs that have known, exact, analytical solutions. The development of analytical solutions is also an active area of research, with many advances being reported recently, particularly traveling wave solutions for nonlinear evolutionary PDEs. Thus, the current development of analytical solutions directly supports the development of