Boundary Value Problems for Partial Differential Equations and Applications in Electrodynamics

Boundary Value Problems for Partial Differential Equations and Applications in Electrodynamics PDF

Author: N. E. Tovmasyan

Publisher: World Scientific

Published: 1994

Total Pages: 252

ISBN-13: 9789810213510

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The book is devoted to boundary value problems for general partial differential equations. Efficient methods of resolution of boundary value problems for elliptic equations, based on the theory of analytic functions and having great theoretical and practical importance are developed.A new approach to the investigation of electromagnetic fields is sketched, permitting laws of propagation of electromagnetic energy at a great distance, is outlined and asymptotic formulae for solutions of Maxwell's equation is obtained. These equations are also applied to the efficient resolution of problems.The book is based mostly on the investigation of the author, a considerable part of which being published for the first time.

Boundary Value Problems For Partial Differential Equations And Applications In Electrodynamics

Boundary Value Problems For Partial Differential Equations And Applications In Electrodynamics PDF

Author: N E Toymasyan

Publisher: World Scientific

Published: 1994-02-08

Total Pages: 246

ISBN-13: 9814504386

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The book is devoted to boundary value problems for general partial differential equations. Efficient methods of resolution of boundary value problems for elliptic equations, based on the theory of analytic functions and having great theoretical and practical importance are developed.A new approach to the investigation of electromagnetic fields is sketched, permitting laws of propagation of electromagnetic energy at a great distance, is outlined and asymptotic formulae for solutions of Maxwell's equation is obtained. These equations are also applied to the efficient resolution of problems.The book is based mostly on the investigation of the author, a considerable part of which being published for the first time.

Boundary Value Problems

Boundary Value Problems PDF

Author: David L. Powers

Publisher: Academic Press

Published: 2006

Total Pages: 516

ISBN-13: 0125637381

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Preface -- Chapter 0. Ordinary Differential Equations -- Chapter 1. Fourier Series and Integrals -- Chapter 2. The Heat Equation -- Chapter 3. The Wave Equation -- Chapter 4. The Potential Equation -- Chapter 5. Higher Dimensions & Other Coordinates.

Boundary Value Problems of Mathematical Physics

Boundary Value Problems of Mathematical Physics PDF

Author: Ivar Stakgold

Publisher: SIAM

Published: 2000-06-30

Total Pages: 1156

ISBN-13: 0898714567

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For more than 30 years, this two-volume set has helped prepare graduate students to use partial differential equations and integral equations to handle significant problems arising in applied mathematics, engineering, and the physical sciences. Originally published in 1967, this graduate-level introduction is devoted to the mathematics needed for the modern approach to boundary value problems using Green's functions and using eigenvalue expansions. Now a part of SIAM's Classics series, these volumes contain a large number of concrete, interesting examples of boundary value problems for partial differential equations that cover a variety of applications that are still relevant today. For example, there is substantial treatment of the Helmholtz equation and scattering theory?subjects that play a central role in contemporary inverse problems in acoustics and electromagnetic theory.

Boundary Value Problems of Linear Partial Differential Equations for Engineers and Scientists

Boundary Value Problems of Linear Partial Differential Equations for Engineers and Scientists PDF

Author: Shien-siu Shu

Publisher: World Scientific

Published: 1987

Total Pages: 300

ISBN-13: 9789971504182

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This book is a revised version of the author's lecture notes in a graduate course of applied mathematics. It is based on the idea that it may be more interesting to learn mathematics through the introduction of concrete examples. The materials are organised in a logical order that transmits the package of mathematical knowledge and methods to the students in an efficient manner.

Boundary Value Problems for Systems of Differential, Difference and Fractional Equations

Boundary Value Problems for Systems of Differential, Difference and Fractional Equations PDF

Author: Johnny Henderson

Publisher: Academic Press

Published: 2015-10-30

Total Pages: 323

ISBN-13: 0128036796

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Boundary Value Problems for Systems of Differential, Difference and Fractional Equations: Positive Solutions discusses the concept of a differential equation that brings together a set of additional constraints called the boundary conditions. As boundary value problems arise in several branches of math given the fact that any physical differential equation will have them, this book will provide a timely presentation on the topic. Problems involving the wave equation, such as the determination of normal modes, are often stated as boundary value problems. To be useful in applications, a boundary value problem should be well posed. This means that given the input to the problem there exists a unique solution, which depends continuously on the input. Much theoretical work in the field of partial differential equations is devoted to proving that boundary value problems arising from scientific and engineering applications are in fact well-posed. Explains the systems of second order and higher orders differential equations with integral and multi-point boundary conditions Discusses second order difference equations with multi-point boundary conditions Introduces Riemann-Liouville fractional differential equations with uncoupled and coupled integral boundary conditions

Boundary-value Problems with Free Boundaries for Elliptic Systems of Equations

Boundary-value Problems with Free Boundaries for Elliptic Systems of Equations PDF

Author: Valentin Nikolaevich Monakhov

Publisher: American Mathematical Soc.

Published: 1983

Total Pages: 540

ISBN-13: 9780821898079

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This book is concerned with certain classes of nonlinear problems for elliptic systems of partial differential equations: boundary-value problems with free boundaries. The first part has to do with the general theory of boundary-value problems for analytic functions and its applications to hydrodynamics. The second presents the theory of quasiconformal mappings, along with the theory of boundary-value problems for elliptic systems of equations and applications of it to problems in the mechanics of continuous media with free boundaries: problems in subsonic gas dynamics, filtration theory, and problems in elastico-plasticity.

Perturbation of the Boundary in Boundary-Value Problems of Partial Differential Equations

Perturbation of the Boundary in Boundary-Value Problems of Partial Differential Equations PDF

Author: Dan Henry

Publisher: Cambridge University Press

Published: 2005-05-26

Total Pages: 220

ISBN-13: 9781139441179

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Perturbation of the boundary is a rather neglected topic in the study of partial differential equations, in part because it often entails long and difficult caluclations. In this book, first published in 2005, the author carefully discusses a calculus that overcomes the computational morass, and he goes on to develop more general forms of standard theorems, helping to answer a problems involving boundary perturbations.

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