Author: Serikkali E. Temirbolat
Publisher: Walter de Gruyter
ISBN: 3110915510
Category : Mathematics
Languages : en
Pages : 152
Book Description
This monograph extends well-known facts to new classes of problems and works out novel approaches to the solution of these problems. It is devoted to the questions of ill-posed boundary-value problems for systems of various types of the first-order differential equations with constant coefficients and the methods for their solution.
Ill-Posed Boundary-Value Problems
Author: Serikkali E. Temirbolat
Publisher: Walter de Gruyter
ISBN: 3110915510
Category : Mathematics
Languages : en
Pages : 152
Book Description
This monograph extends well-known facts to new classes of problems and works out novel approaches to the solution of these problems. It is devoted to the questions of ill-posed boundary-value problems for systems of various types of the first-order differential equations with constant coefficients and the methods for their solution.
Publisher: Walter de Gruyter
ISBN: 3110915510
Category : Mathematics
Languages : en
Pages : 152
Book Description
This monograph extends well-known facts to new classes of problems and works out novel approaches to the solution of these problems. It is devoted to the questions of ill-posed boundary-value problems for systems of various types of the first-order differential equations with constant coefficients and the methods for their solution.
Ill-Posed Boundary-Value Problems
Author: S. E. Temirbolat
Publisher:
ISBN: 9783110631098
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN: 9783110631098
Category :
Languages : en
Pages :
Book Description
Improperly Posed Boundary Value Problems
Author: Alfred Carasso
Publisher: Pitman Publishing
ISBN:
Category : Mathematics
Languages : en
Pages : 176
Book Description
Publisher: Pitman Publishing
ISBN:
Category : Mathematics
Languages : en
Pages : 176
Book Description
Ill-Posed Internal Boundary Value Problems for the Biharmonic Equation
Author: Mukarram A. Atakhodzhaev
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110944812
Category : Mathematics
Languages : en
Pages : 168
Book Description
Internal boundary value problems deals with the problem of determining the solution of an equation if data are given on two manifolds. One manifold is the domain boundary and the other manifold is situated inside the domain. This monograph studies three essentially ill-posed internal boundary value problems for the biharmonic equation and the Cauchy problem for the abstract biharmonic equation, both qualitatively and quantitatively. In addition, some variants of these problems and the Cauchy problem, as well as the m-dimensional case, are considered. The author introduces some new notions, such as the notion of complete solvability.
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110944812
Category : Mathematics
Languages : en
Pages : 168
Book Description
Internal boundary value problems deals with the problem of determining the solution of an equation if data are given on two manifolds. One manifold is the domain boundary and the other manifold is situated inside the domain. This monograph studies three essentially ill-posed internal boundary value problems for the biharmonic equation and the Cauchy problem for the abstract biharmonic equation, both qualitatively and quantitatively. In addition, some variants of these problems and the Cauchy problem, as well as the m-dimensional case, are considered. The author introduces some new notions, such as the notion of complete solvability.
Iterative Methods for Ill-posed Boundary Value Problems
Author: George Bastay
Publisher:
ISBN: 9789178715831
Category : Boundary value problems
Languages : en
Pages : 130
Book Description
Publisher:
ISBN: 9789178715831
Category : Boundary value problems
Languages : en
Pages : 130
Book Description
Ill-posed Problems of Mathematical Physics and Analysis
Author: Mikhail Mikha_lovich Lavrent_ev
Publisher: American Mathematical Soc.
ISBN: 9780821898147
Category : Mathematics
Languages : en
Pages : 300
Book Description
Physical formulations leading to ill-posed problems Basic concepts of the theory of ill-posed problems Analytic continuation Boundary value problems for differential equations Volterra equations Integral geometry Multidimensional inverse problems for linear differential equations
Publisher: American Mathematical Soc.
ISBN: 9780821898147
Category : Mathematics
Languages : en
Pages : 300
Book Description
Physical formulations leading to ill-posed problems Basic concepts of the theory of ill-posed problems Analytic continuation Boundary value problems for differential equations Volterra equations Integral geometry Multidimensional inverse problems for linear differential equations
Inverse and Ill-Posed Problems
Author: Heinz W. Engl
Publisher: Elsevier
ISBN: 1483272656
Category : Mathematics
Languages : en
Pages : 585
Book Description
Inverse and Ill-Posed Problems is a collection of papers presented at a seminar of the same title held in Austria in June 1986. The papers discuss inverse problems in various disciplines; mathematical solutions of integral equations of the first kind; general considerations for ill-posed problems; and the various regularization methods for integral and operator equations of the first kind. Other papers deal with applications in tomography, inverse scattering, detection of radiation sources, optics, partial differential equations, and parameter estimation problems. One paper discusses three topics on ill-posed problems, namely, the imposition of specified types of discontinuities on solutions of ill-posed problems, the use of generalized cross validation as a data based termination rule for iterative methods, and also a parameter estimation problem in reservoir modeling. Another paper investigates a statistical method to determine the truncation level in Eigen function expansions and for Fredholm equations of the first kind where the data contains some errors. Another paper examines the use of singular function expansions in the inversion of severely ill-posed problems arising in confocal scanning microscopy, particle sizing, and velocimetry. The collection can benefit many mathematicians, students, and professor of calculus, statistics, and advanced mathematics.
Publisher: Elsevier
ISBN: 1483272656
Category : Mathematics
Languages : en
Pages : 585
Book Description
Inverse and Ill-Posed Problems is a collection of papers presented at a seminar of the same title held in Austria in June 1986. The papers discuss inverse problems in various disciplines; mathematical solutions of integral equations of the first kind; general considerations for ill-posed problems; and the various regularization methods for integral and operator equations of the first kind. Other papers deal with applications in tomography, inverse scattering, detection of radiation sources, optics, partial differential equations, and parameter estimation problems. One paper discusses three topics on ill-posed problems, namely, the imposition of specified types of discontinuities on solutions of ill-posed problems, the use of generalized cross validation as a data based termination rule for iterative methods, and also a parameter estimation problem in reservoir modeling. Another paper investigates a statistical method to determine the truncation level in Eigen function expansions and for Fredholm equations of the first kind where the data contains some errors. Another paper examines the use of singular function expansions in the inversion of severely ill-posed problems arising in confocal scanning microscopy, particle sizing, and velocimetry. The collection can benefit many mathematicians, students, and professor of calculus, statistics, and advanced mathematics.
Ill-posed Problems of Mathematical Physics and Analysis
Author: Mikhail Mikhailovich Lavrent'ev
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description
Direct Solution of Ill-posed Nonhomogeneous Boundary Value Problems
Author: Andreas Grunewald
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 78
Book Description
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 78
Book Description
Well-posed, Ill-posed, and Intermediate Problems with Applications
Author: Petrov Yuri P.
Publisher: Walter de Gruyter
ISBN: 3110195305
Category : Mathematics
Languages : en
Pages : 245
Book Description
This book deals with one of the key problems in applied mathematics, namely the investigation into and providing for solution stability in solving equations with due allowance for inaccuracies in set initial data, parameters and coefficients of a mathematical model for an object under study, instrumental function, initial conditions, etc., and also with allowance for miscalculations, including roundoff errors. Until recently, all problems in mathematics, physics and engineering were divided into two classes: well-posed problems and ill-posed problems. The authors introduce a third class of problems: intermediate ones, which are problems that change their property of being well- or ill-posed on equivalent transformations of governing equations, and also problems that display the property of being either well- or ill-posed depending on the type of the functional space used. The book is divided into two parts: Part one deals with general properties of all three classes of mathematical, physical and engineering problems with approaches to solve them; Part two deals with several stable models for solving inverse ill-posed problems, illustrated with numerical examples.
Publisher: Walter de Gruyter
ISBN: 3110195305
Category : Mathematics
Languages : en
Pages : 245
Book Description
This book deals with one of the key problems in applied mathematics, namely the investigation into and providing for solution stability in solving equations with due allowance for inaccuracies in set initial data, parameters and coefficients of a mathematical model for an object under study, instrumental function, initial conditions, etc., and also with allowance for miscalculations, including roundoff errors. Until recently, all problems in mathematics, physics and engineering were divided into two classes: well-posed problems and ill-posed problems. The authors introduce a third class of problems: intermediate ones, which are problems that change their property of being well- or ill-posed on equivalent transformations of governing equations, and also problems that display the property of being either well- or ill-posed depending on the type of the functional space used. The book is divided into two parts: Part one deals with general properties of all three classes of mathematical, physical and engineering problems with approaches to solve them; Part two deals with several stable models for solving inverse ill-posed problems, illustrated with numerical examples.