Boundary Value Problems Of Mathematical Physics

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The Boundary Value Problems of Mathematical Physics

Author : O.A. Ladyzhenskaya
Publisher : Springer Science & Business Media
ISBN 13 : 1475743173
Total Pages : 350 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis The Boundary Value Problems of Mathematical Physics by : O.A. Ladyzhenskaya

Download or read book The Boundary Value Problems of Mathematical Physics written by O.A. Ladyzhenskaya and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the present edition I have included "Supplements and Problems" located at the end of each chapter. This was done with the aim of illustrating the possibilities of the methods contained in the book, as well as with the desire to make good on what I have attempted to do over the course of many years for my students-to awaken their creativity, providing topics for independent work. The source of my own initial research was the famous two-volume book Methods of Mathematical Physics by D. Hilbert and R. Courant, and a series of original articles and surveys on partial differential equations and their applications to problems in theoretical mechanics and physics. The works of K. o. Friedrichs, which were in keeping with my own perception of the subject, had an especially strong influence on me. I was guided by the desire to prove, as simply as possible, that, like systems of n linear algebraic equations in n unknowns, the solvability of basic boundary value (and initial-boundary value) problems for partial differential equations is a consequence of the uniqueness theorems in a "sufficiently large" function space. This desire was successfully realized thanks to the introduction of various classes of general solutions and to an elaboration of the methods of proof for the corresponding uniqueness theorems. This was accomplished on the basis of comparatively simple integral inequalities for arbitrary functions and of a priori estimates of the solutions of the problems without enlisting any special representations of those solutions.

Boundary Value Problems of Mathematical Physics

Author : Ivar Stakgold
Publisher : SIAM
ISBN 13 : 1611972388
Total Pages : 1156 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Boundary Value Problems of Mathematical Physics by : Ivar Stakgold

Download or read book Boundary Value Problems of Mathematical Physics written by Ivar Stakgold and published by SIAM. This book was released on 2000-06-30 with total page 1156 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Initial Boundary Value Problems in Mathematical Physics

Author : Rolf Leis
Publisher : Courier Corporation
ISBN 13 : 0486315827
Total Pages : 274 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Initial Boundary Value Problems in Mathematical Physics by : Rolf Leis

Download or read book Initial Boundary Value Problems in Mathematical Physics written by Rolf Leis and published by Courier Corporation. This book was released on 2013-07-17 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to classical scattering theory and time-dependent theory of linear equations in mathematical physics. Topics include wave operators, exterior boundary value problems, radiation conditions, limiting absorption principles, and more. 1986 edition.

Boundary Value Problems of Mathematical Physics

Author : Dmitriĭ Evgenʹevich Menʹshov
Publisher :
ISBN 13 : 9780821830024
Total Pages : 224 pages
Book Rating : 4.8/5 (3 download)

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Book Synopsis Boundary Value Problems of Mathematical Physics by : Dmitriĭ Evgenʹevich Menʹshov

Download or read book Boundary Value Problems of Mathematical Physics written by Dmitriĭ Evgenʹevich Menʹshov and published by . This book was released on 1980 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Boundary value problems of mathematical physics. 1

Author : Ivar Stakgold
Publisher :
ISBN 13 :
Total Pages : 340 pages
Book Rating : 4.:/5 (14 download)

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Book Synopsis Boundary value problems of mathematical physics. 1 by : Ivar Stakgold

Download or read book Boundary value problems of mathematical physics. 1 written by Ivar Stakgold and published by . This book was released on 2000 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Kernel Functions and Elliptic Differential Equations in Mathematical Physics

Author : Stefan Bergman
Publisher : Courier Corporation
ISBN 13 : 0486445534
Total Pages : 450 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Kernel Functions and Elliptic Differential Equations in Mathematical Physics by : Stefan Bergman

Download or read book Kernel Functions and Elliptic Differential Equations in Mathematical Physics written by Stefan Bergman and published by Courier Corporation. This book was released on 2005-09-01 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text focuses on the theory of boundary value problems in partial differential equations, which plays a central role in various fields of pure and applied mathematics, theoretical physics, and engineering. Geared toward upper-level undergraduates and graduate students, it discusses a portion of the theory from a unifying point of view and provides a systematic and self-contained introduction to each branch of the applications it employs.

Mixed Boundary Value Problems

Author : Dean G. Duffy
Publisher : CRC Press
ISBN 13 : 1420010948
Total Pages : 486 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Mixed Boundary Value Problems by : Dean G. Duffy

Download or read book Mixed Boundary Value Problems written by Dean G. Duffy and published by CRC Press. This book was released on 2008-03-26 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: Methods for Solving Mixed Boundary Value Problems An up-to-date treatment of the subject, Mixed Boundary Value Problems focuses on boundary value problems when the boundary condition changes along a particular boundary. The book often employs numerical methods to solve mixed boundary value problems and the associated integral equat

Boundary and Eigenvalue Problems in Mathematical Physics

Author : Hans Sagan
Publisher : Courier Corporation
ISBN 13 : 0486150925
Total Pages : 420 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Boundary and Eigenvalue Problems in Mathematical Physics by : Hans Sagan

Download or read book Boundary and Eigenvalue Problems in Mathematical Physics written by Hans Sagan and published by Courier Corporation. This book was released on 2012-04-26 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Well-known text uses a few basic concepts to solve such problems as the vibrating string, vibrating membrane, and heat conduction. Problems and solutions. 31 illustrations.

A Collection of Problems on Mathematical Physics

Author : B. M. Budak
Publisher : Elsevier
ISBN 13 : 1483184862
Total Pages : 783 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis A Collection of Problems on Mathematical Physics by : B. M. Budak

Download or read book A Collection of Problems on Mathematical Physics written by B. M. Budak and published by Elsevier. This book was released on 2013-10-22 with total page 783 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Collection of Problems on Mathematical Physics is a translation from the Russian and deals with problems and equations of mathematical physics. The book contains problems and solutions. The book discusses problems on the derivation of equations and boundary condition. These Problems are arranged on the type and reduction to canonical form of equations in two or more independent variables. The equations of hyperbolic type concerns derive from problems on vibrations of continuous media and on electromagnetic oscillations. The book considers the statement and solutions of boundary value problems pertaining to equations of parabolic types when the physical processes are described by functions of two, three or four independent variables such as spatial coordinates or time. The book then discusses dynamic problems pertaining to the mechanics of continuous media and problems on electrodynamics. The text also discusses hyperbolic and elliptic types of equations. The book is intended for students in advanced mathematics and physics, as well as, for engineers and workers in research institutions.

Mathematical Methods in Physics

Author : Victor Henner
Publisher : CRC Press
ISBN 13 : 1439865167
Total Pages : 859 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Mathematical Methods in Physics by : Victor Henner

Download or read book Mathematical Methods in Physics written by Victor Henner and published by CRC Press. This book was released on 2009-06-18 with total page 859 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a text on partial differential equations (PDEs) of mathematical physics and boundary value problems, trigonometric Fourier series, and special functions. This is the core content of many courses in the fields of engineering, physics, mathematics, and applied mathematics. The accompanying software provides a laboratory environment that

Boundary Value Problems, Weyl Functions, and Differential Operators

Author : Jussi Behrndt
Publisher : Springer Nature
ISBN 13 : 3030367142
Total Pages : 772 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Boundary Value Problems, Weyl Functions, and Differential Operators by : Jussi Behrndt

Download or read book Boundary Value Problems, Weyl Functions, and Differential Operators written by Jussi Behrndt and published by Springer Nature. This book was released on 2020-01-03 with total page 772 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book presents a comprehensive survey of modern operator techniques for boundary value problems and spectral theory, employing abstract boundary mappings and Weyl functions. It includes self-contained treatments of the extension theory of symmetric operators and relations, spectral characterizations of selfadjoint operators in terms of the analytic properties of Weyl functions, form methods for semibounded operators, and functional analytic models for reproducing kernel Hilbert spaces. Further, it illustrates these abstract methods for various applications, including Sturm-Liouville operators, canonical systems of differential equations, and multidimensional Schrödinger operators, where the abstract Weyl function appears as either the classical Titchmarsh-Weyl coefficient or the Dirichlet-to-Neumann map. The book is a valuable reference text for researchers in the areas of differential equations, functional analysis, mathematical physics, and system theory. Moreover, thanks to its detailed exposition of the theory, it is also accessible and useful for advanced students and researchers in other branches of natural sciences and engineering.

Initial Boundary Value Problems in Mathematical Physics

Author : Rolf Leis
Publisher :
ISBN 13 : 9780598049049
Total Pages : 274 pages
Book Rating : 4.0/5 (49 download)

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Book Synopsis Initial Boundary Value Problems in Mathematical Physics by : Rolf Leis

Download or read book Initial Boundary Value Problems in Mathematical Physics written by Rolf Leis and published by . This book was released on 1986 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Initial Boundary Value Problems in Mathematical Physics

Author : Rolf Leis
Publisher : Courier Corporation
ISBN 13 : 0486497410
Total Pages : 274 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Initial Boundary Value Problems in Mathematical Physics by : Rolf Leis

Download or read book Initial Boundary Value Problems in Mathematical Physics written by Rolf Leis and published by Courier Corporation. This book was released on 2013-01-01 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the author's lectures at the University of Bonn in 1983–84, this book introduces classical scattering theory and the time-dependent theory of linear equations in mathematical physics. Topics include proof of the existence of wave operators, some special equations of mathematical physics, exterior boundary value problems, radiation conditions, and limiting absorption principles. 1986 edition.

Boundary Value Problems of Mathematical Physics. VI

Author : Olʹga A. Ladyženskaja
Publisher : American Mathematical Soc.
ISBN 13 : 9780821830109
Total Pages : 218 pages
Book Rating : 4.8/5 (31 download)

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Book Synopsis Boundary Value Problems of Mathematical Physics. VI by : Olʹga A. Ladyženskaja

Download or read book Boundary Value Problems of Mathematical Physics. VI written by Olʹga A. Ladyženskaja and published by American Mathematical Soc.. This book was released on 1972 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analytical Solution Methods for Boundary Value Problems

Author : A.S. Yakimov
Publisher : Academic Press
ISBN 13 : 0128043636
Total Pages : 202 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Analytical Solution Methods for Boundary Value Problems by : A.S. Yakimov

Download or read book Analytical Solution Methods for Boundary Value Problems written by A.S. Yakimov and published by Academic Press. This book was released on 2016-08-13 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analytical Solution Methods for Boundary Value Problems is an extensively revised, new English language edition of the original 2011 Russian language work, which provides deep analysis methods and exact solutions for mathematical physicists seeking to model germane linear and nonlinear boundary problems. Current analytical solutions of equations within mathematical physics fail completely to meet boundary conditions of the second and third kind, and are wholly obtained by the defunct theory of series. These solutions are also obtained for linear partial differential equations of the second order. They do not apply to solutions of partial differential equations of the first order and they are incapable of solving nonlinear boundary value problems. Analytical Solution Methods for Boundary Value Problems attempts to resolve this issue, using quasi-linearization methods, operational calculus and spatial variable splitting to identify the exact and approximate analytical solutions of three-dimensional non-linear partial differential equations of the first and second order. The work does so uniquely using all analytical formulas for solving equations of mathematical physics without using the theory of series. Within this work, pertinent solutions of linear and nonlinear boundary problems are stated. On the basis of quasi-linearization, operational calculation and splitting on spatial variables, the exact and approached analytical solutions of the equations are obtained in private derivatives of the first and second order. Conditions of unequivocal resolvability of a nonlinear boundary problem are found and the estimation of speed of convergence of iterative process is given. On an example of trial functions results of comparison of the analytical solution are given which have been obtained on suggested mathematical technology, with the exact solution of boundary problems and with the numerical solutions on well-known methods. Discusses the theory and analytical methods for many differential equations appropriate for applied and computational mechanics researchers Addresses pertinent boundary problems in mathematical physics achieved without using the theory of series Includes results that can be used to address nonlinear equations in heat conductivity for the solution of conjugate heat transfer problems and the equations of telegraph and nonlinear transport equation Covers select method solutions for applied mathematicians interested in transport equations methods and thermal protection studies Features extensive revisions from the Russian original, with 115+ new pages of new textual content

Green's Functions and Boundary Value Problems

Author : Ivar Stakgold
Publisher : John Wiley & Sons
ISBN 13 : 0470906529
Total Pages : 883 pages
Book Rating : 4.4/5 (79 download)

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Book Synopsis Green's Functions and Boundary Value Problems by : Ivar Stakgold

Download or read book Green's Functions and Boundary Value Problems written by Ivar Stakgold and published by John Wiley & Sons. This book was released on 2011-03-01 with total page 883 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the Second Edition "This book is an excellent introduction to the wide field of boundary value problems."—Journal of Engineering Mathematics "No doubt this textbook will be useful for both students and research workers."—Mathematical Reviews A new edition of the highly-acclaimed guide to boundary value problems, now featuring modern computational methods and approximation theory Green's Functions and Boundary Value Problems, Third Edition continues the tradition of the two prior editions by providing mathematical techniques for the use of differential and integral equations to tackle important problems in applied mathematics, the physical sciences, and engineering. This new edition presents mathematical concepts and quantitative tools that are essential for effective use of modern computational methods that play a key role in the practical solution of boundary value problems. With a careful blend of theory and applications, the authors successfully bridge the gap between real analysis, functional analysis, nonlinear analysis, nonlinear partial differential equations, integral equations, approximation theory, and numerical analysis to provide a comprehensive foundation for understanding and analyzing core mathematical and computational modeling problems. Thoroughly updated and revised to reflect recent developments, the book includes an extensive new chapter on the modern tools of computational mathematics for boundary value problems. The Third Edition features numerous new topics, including: Nonlinear analysis tools for Banach spaces Finite element and related discretizations Best and near-best approximation in Banach spaces Iterative methods for discretized equations Overview of Sobolev and Besov space linear Methods for nonlinear equations Applications to nonlinear elliptic equations In addition, various topics have been substantially expanded, and new material on weak derivatives and Sobolev spaces, the Hahn-Banach theorem, reflexive Banach spaces, the Banach Schauder and Banach-Steinhaus theorems, and the Lax-Milgram theorem has been incorporated into the book. New and revised exercises found throughout allow readers to develop their own problem-solving skills, and the updated bibliographies in each chapter provide an extensive resource for new and emerging research and applications. With its careful balance of mathematics and meaningful applications, Green's Functions and Boundary Value Problems, Third Edition is an excellent book for courses on applied analysis and boundary value problems in partial differential equations at the graduate level. It is also a valuable reference for mathematicians, physicists, engineers, and scientists who use applied mathematics in their everyday work.

Mathematical Theorems

Author : Lyudmila Alexeyeva
Publisher : BoD – Books on Demand
ISBN 13 : 1838800719
Total Pages : 149 pages
Book Rating : 4.8/5 (388 download)

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Book Synopsis Mathematical Theorems by : Lyudmila Alexeyeva

Download or read book Mathematical Theorems written by Lyudmila Alexeyeva and published by BoD – Books on Demand. This book was released on 2020-12-09 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main content of this book is related to construction of analytical solutions of differential equations and systems of mathematical physics, to development of analytical methods for solving boundary value problems for such equations and the study of properties of their solutions. A wide class of equations (elliptic, parabolic, and hyperbolic) is considered here, on the basis of which complex wave processes in biological and physical media can be simulated.The method of generalized functions presented in the book for solving boundary value problems of mathematical physics is universal for constructing solutions of boundary value problems for systems of linear differential equations with constant coefficients of any type. In the last sections of the book, the issues of calculating functions based on Padé approximations, binomial expansions, and fractal representations are considered. The book is intended for specialists in the field of mathematical and theoretical physics, mechanics and biophysics, students of mechanics, mathematics, physics and biology departments of higher educational institutions.