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The Boundary Value Problems Of Mathematical Physics
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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.
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.
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 272 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.
Book Synopsis Boundary Value Problems of Mathematical Physics by : Olga Alexandrovna Ladyzhenskaya
Download or read book Boundary Value Problems of Mathematical Physics written by Olga Alexandrovna Ladyzhenskaya and published by American Mathematical Soc.. This book was released on 1975 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 . This book was released on 2014-01-15 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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:
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 488 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 equations. Straightforward Presentation of Mathematical Techniques The author first provides examples of mixed boundary value problems and the mathematical background of integral functions and special functions. He then presents classic mathematical physics problems to explain the origin of mixed boundary value problems and the mathematical techniques that were developed to handle them. The remaining chapters solve various mixed boundary value problems using separation of variables, transform methods, the Wiener–Hopf technique, Green’s function, and conformal mapping. Decipher Mixed Boundary Value Problems That Occur in Diverse Fields Including MATLAB® to help with problem solving, this book provides the mathematical skills needed for the solution of mixed boundary value problems.
Book Synopsis A Collection of Problems on Mathematical Physics by : Boris Mikhaĭlovich Budak
Download or read book A Collection of Problems on Mathematical Physics written by Boris Mikhaĭlovich Budak and published by . This book was released on 1964 with total page 792 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 399 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.
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 200 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
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:
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:
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 2013-01-23 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers the theory of boundary value problems in partial differential equations and discusses a portion of the theory from a unifying point of view while providing an introduction to each branch of its applications. 1953 edition.
Book Synopsis Boundary Value Problems of Mathematical Physics. IX by : Olga Alexandrovna Ladyzhenskaya
Download or read book Boundary Value Problems of Mathematical Physics. IX written by Olga Alexandrovna Ladyzhenskaya and published by American Mathematical Soc.. This book was released on 1977 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Book Synopsis Boundary Value Problems of Mathematical Physics. Viii by : Ol'Ga Aleksanrovna Ladyzhenskaja
Download or read book Boundary Value Problems of Mathematical Physics. Viii written by Ol'Ga Aleksanrovna Ladyzhenskaja and published by . This book was released on 1975 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Boundary Value Problems of Mathematical Physics by : Olga Aleksandrovna Ladyzhenskaëiìa
Download or read book Boundary Value Problems of Mathematical Physics written by Olga Aleksandrovna Ladyzhenskaëiìa and published by . This book was released on 1981 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt:
