Author: William Charles Hector McLean
Publisher: Cambridge University Press
ISBN: 9780521663755
Category : Mathematics
Languages : en
Pages : 376
Book Description
This 2000 book provided the first detailed exposition of the mathematical theory of boundary integral equations of the first kind on non-smooth domains.
Strongly Elliptic Systems and Boundary Integral Equations
Author: William Charles Hector McLean
Publisher: Cambridge University Press
ISBN: 9780521663755
Category : Mathematics
Languages : en
Pages : 376
Book Description
This 2000 book provided the first detailed exposition of the mathematical theory of boundary integral equations of the first kind on non-smooth domains.
Publisher: Cambridge University Press
ISBN: 9780521663755
Category : Mathematics
Languages : en
Pages : 376
Book Description
This 2000 book provided the first detailed exposition of the mathematical theory of boundary integral equations of the first kind on non-smooth domains.
The Boundary-Domain Integral Method for Elliptic Systems
Author: Andreas Pomp
Publisher: Springer
ISBN: 3540696970
Category : Mathematics
Languages : en
Pages : 175
Book Description
This monograph gives a description of all algorithmic steps and a mathematical foundation for a special numerical method, namely the boundary-domain integral method (BDIM). This method is a generalization of the well-known boundary element method, but it is also applicable to linear elliptic systems with variable coefficients, especially to shell equations. The text should be understandable at the beginning graduate-level. It is addressed to researchers in the fields of numerical analysis and computational mechanics, and will be of interest to everyone looking at serious alternatives to the well-established finite element methods.
Publisher: Springer
ISBN: 3540696970
Category : Mathematics
Languages : en
Pages : 175
Book Description
This monograph gives a description of all algorithmic steps and a mathematical foundation for a special numerical method, namely the boundary-domain integral method (BDIM). This method is a generalization of the well-known boundary element method, but it is also applicable to linear elliptic systems with variable coefficients, especially to shell equations. The text should be understandable at the beginning graduate-level. It is addressed to researchers in the fields of numerical analysis and computational mechanics, and will be of interest to everyone looking at serious alternatives to the well-established finite element methods.
Some Classes of Partial Differential Equations
Author: Andreĭ Vasilʹevich Bit︠s︡adze
Publisher: CRC Press
ISBN: 9782881246623
Category : Mathematics
Languages : en
Pages : 532
Book Description
A systematic examination of classical and non-classical problems for linear partial differential equations and systems of elliptic, hyperbolic and mixed types. Among a number of difficult problems addressed are the Dirichlet and oblique derivative problems for non- uniformly elliptic equations and non-strongly elliptic systems and the Cauchy and Darloux problems for non-strongly hyperbolic systems and hyperbolic equations with parabolic degeneracy on the boundary. Written at a level suitable for undergraduate and graduate students and researchers. Individual price, $89. Annotation copyrighted by Book News, Inc., Portland, OR
Publisher: CRC Press
ISBN: 9782881246623
Category : Mathematics
Languages : en
Pages : 532
Book Description
A systematic examination of classical and non-classical problems for linear partial differential equations and systems of elliptic, hyperbolic and mixed types. Among a number of difficult problems addressed are the Dirichlet and oblique derivative problems for non- uniformly elliptic equations and non-strongly elliptic systems and the Cauchy and Darloux problems for non-strongly hyperbolic systems and hyperbolic equations with parabolic degeneracy on the boundary. Written at a level suitable for undergraduate and graduate students and researchers. Individual price, $89. Annotation copyrighted by Book News, Inc., Portland, OR
Strongly elliptic boundary integral equations for electromagnetic transmission problems
Author: Martin Costabel
Publisher:
ISBN:
Category :
Languages : de
Pages : 35
Book Description
Publisher:
ISBN:
Category :
Languages : de
Pages : 35
Book Description
Integral Equations And Boundary Value Problems - Proceedings Of The International Conference
Author: Guo Chun Wen
Publisher: #N/A
ISBN: 9814569534
Category :
Languages : en
Pages : 304
Book Description
The proceedings covers the following topics: Boundary value problems of partial differential equations including free boundary problems; Theory and methods of integral equations including singular integral equations; Applications of integral equations and boundary value problems to mechanics and physics; and numerical methods for integral equations and boundary value problems.
Publisher: #N/A
ISBN: 9814569534
Category :
Languages : en
Pages : 304
Book Description
The proceedings covers the following topics: Boundary value problems of partial differential equations including free boundary problems; Theory and methods of integral equations including singular integral equations; Applications of integral equations and boundary value problems to mechanics and physics; and numerical methods for integral equations and boundary value problems.
Strongly Elliptic Boundary Integral Equations for Electromagnetic Transmission Problems
Author: Martin Costabel
Publisher:
ISBN:
Category :
Languages : de
Pages : 30
Book Description
Publisher:
ISBN:
Category :
Languages : de
Pages : 30
Book Description
Partial Differential Equations of Elliptic Type
Author: Carlo Miranda
Publisher: Springer-Verlag
ISBN: 3662351471
Category : Mathematics
Languages : de
Pages : 385
Book Description
Publisher: Springer-Verlag
ISBN: 3662351471
Category : Mathematics
Languages : de
Pages : 385
Book Description
Strongly Coupled Parabolic and Elliptic Systems
Author: Dung Le
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110607174
Category : Mathematics
Languages : en
Pages : 281
Book Description
Strongly coupled (or cross-diffusion) systems of parabolic and elliptic partial differential equations appear in many physical applications. This book presents a new approach to the solvability of general strongly coupled systems, a much more difficult problem in contrast to the scalar case, by unifying, elucidating and extending breakthrough results obtained by the author, and providing solutions to many open fundamental questions in the theory. Several examples in mathematical biology and ecology are also included. Contents Interpolation Gagliardo–Nirenberg inequalities The parabolic systems The elliptic systems Cross-diffusion systems of porous media type Nontrivial steady-state solutions The duality RBMO(μ)–H1(μ)| Some algebraic inequalities Partial regularity
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110607174
Category : Mathematics
Languages : en
Pages : 281
Book Description
Strongly coupled (or cross-diffusion) systems of parabolic and elliptic partial differential equations appear in many physical applications. This book presents a new approach to the solvability of general strongly coupled systems, a much more difficult problem in contrast to the scalar case, by unifying, elucidating and extending breakthrough results obtained by the author, and providing solutions to many open fundamental questions in the theory. Several examples in mathematical biology and ecology are also included. Contents Interpolation Gagliardo–Nirenberg inequalities The parabolic systems The elliptic systems Cross-diffusion systems of porous media type Nontrivial steady-state solutions The duality RBMO(μ)–H1(μ)| Some algebraic inequalities Partial regularity
Methods of Singular Integral Equations
Author: Abduhamid Dzhuraev
Publisher: Chapman and Hall/CRC
ISBN:
Category : Mathematics
Languages : en
Pages : 336
Book Description
Considers the class of singular integral equations on bounded two-dimensional multiply connected domains on the plane, and their applications to the theory of general elliptic systems of partial differential equations.
Publisher: Chapman and Hall/CRC
ISBN:
Category : Mathematics
Languages : en
Pages : 336
Book Description
Considers the class of singular integral equations on bounded two-dimensional multiply connected domains on the plane, and their applications to the theory of general elliptic systems of partial differential equations.
Integral Equations
Author: Wolfgang Hackbusch
Publisher: Birkhäuser
ISBN: 3034892152
Category : Mathematics
Languages : en
Pages : 377
Book Description
The theory of integral equations has been an active research field for many years and is based on analysis, function theory, and functional analysis. On the other hand, integral equations are of practical interest because of the «boundary integral equation method», which transforms partial differential equations on a domain into integral equations over its boundary. This book grew out of a series of lectures given by the author at the Ruhr-Universitat Bochum and the Christian-Albrecht-Universitat zu Kiel to students of mathematics. The contents of the first six chapters correspond to an intensive lecture course of four hours per week for a semester. Readers of the book require background from analysis and the foundations of numeri cal mathematics. Knowledge of functional analysis is helpful, but to begin with some basic facts about Banach and Hilbert spaces are sufficient. The theoretical part of this book is reduced to a minimum; in Chapters 2, 4, and 5 more importance is attached to the numerical treatment of the integral equations than to their theory. Important parts of functional analysis (e. g. , the Riesz-Schauder theory) are presented without proof. We expect the reader either to be already familiar with functional analysis or to become motivated by the practical examples given here to read a book about this topic. We recall that also from a historical point of view, functional analysis was initially stimulated by the investigation of integral equations.
Publisher: Birkhäuser
ISBN: 3034892152
Category : Mathematics
Languages : en
Pages : 377
Book Description
The theory of integral equations has been an active research field for many years and is based on analysis, function theory, and functional analysis. On the other hand, integral equations are of practical interest because of the «boundary integral equation method», which transforms partial differential equations on a domain into integral equations over its boundary. This book grew out of a series of lectures given by the author at the Ruhr-Universitat Bochum and the Christian-Albrecht-Universitat zu Kiel to students of mathematics. The contents of the first six chapters correspond to an intensive lecture course of four hours per week for a semester. Readers of the book require background from analysis and the foundations of numeri cal mathematics. Knowledge of functional analysis is helpful, but to begin with some basic facts about Banach and Hilbert spaces are sufficient. The theoretical part of this book is reduced to a minimum; in Chapters 2, 4, and 5 more importance is attached to the numerical treatment of the integral equations than to their theory. Important parts of functional analysis (e. g. , the Riesz-Schauder theory) are presented without proof. We expect the reader either to be already familiar with functional analysis or to become motivated by the practical examples given here to read a book about this topic. We recall that also from a historical point of view, functional analysis was initially stimulated by the investigation of integral equations.