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On The Dirichlet Problem For The Reduced Wave Equation Classic Reprint
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Book Synopsis On the Dirichlet Problem for the Reduced Wave Equation (Classic Reprint) by : Rolf Leis
Download or read book On the Dirichlet Problem for the Reduced Wave Equation (Classic Reprint) written by Rolf Leis and published by Forgotten Books. This book was released on 2018-02-28 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from On the Dirichlet Problem for the Reduced Wave Equation A. All the regular surface elements having a vertex in common form a chain such that each has an edge (terminating in that vertex) in common with the next; the last may, or may not, have an edge in common with the first. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Book Synopsis On the Dirichlet Problem for the Reduced Wave Equation by : Rolf Leis
Download or read book On the Dirichlet Problem for the Reduced Wave Equation written by Rolf Leis and published by . This book was released on 1959 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Some Uniqueness Theorems for the Reduced Wave Equation (Classic Reprint) by : Leo M. Levine
Download or read book Some Uniqueness Theorems for the Reduced Wave Equation (Classic Reprint) written by Leo M. Levine and published by Forgotten Books. This book was released on 2018-02-04 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Some Uniqueness Theorems for the Reduced Wave Equation The general mixed boundary value problem in diffraction theory has apparently not been considered elsewhere, although some special problems have been investi gated. The third boundary value problem (for smooth surfaces) was treated by Leis [12] Regarding infinite boundaries, Peters and Stoker proved uniqueness for the case of a boundary in two dimensions which consists, eventually, of two straight lines extending to infinity. For the case of real k, the extension of the unique ness theorem to infinite boundaries presented here treats the three dimensional analogues of the infinite boundaries of [?fl, namely, eventually conical boundaries. However, in the three dimensional case, where the cones have arbitrary shapes they may have edges extending to infinity) and where mixed boundary condi tions are considered, the proof; although along lines similar to that of [b. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Book Synopsis Partial Differential Equations by : Walter A. Strauss
Download or read book Partial Differential Equations written by Walter A. Strauss and published by John Wiley & Sons. This book was released on 2007-12-21 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.
Book Synopsis The Dirichlet Problem for Elliptic-Hyperbolic Equations of Keldysh Type by : Thomas H. Otway
Download or read book The Dirichlet Problem for Elliptic-Hyperbolic Equations of Keldysh Type written by Thomas H. Otway and published by Springer Science & Business Media. This book was released on 2012-01-07 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: Partial differential equations of mixed elliptic-hyperbolic type arise in diverse areas of physics and geometry, including fluid and plasma dynamics, optics, cosmology, traffic engineering, projective geometry, geometric variational theory, and the theory of isometric embeddings. And yet even the linear theory of these equations is at a very early stage. This text examines various Dirichlet problems which can be formulated for equations of Keldysh type, one of the two main classes of linear elliptic-hyperbolic equations. Open boundary conditions (in which data are prescribed on only part of the boundary) and closed boundary conditions (in which data are prescribed on the entire boundary) are both considered. Emphasis is on the formulation of boundary conditions for which solutions can be shown to exist in an appropriate function space. Specific applications to plasma physics, optics, and analysis on projective spaces are discussed. (From the preface)
Download or read book Technical Abstract Bulletin written by and published by . This book was released on 1967 with total page 866 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Energy Decay of Solutions to the Initial-Boundary Value Problem for the Wave Equation in an Inhomogeneous Medium (Classic Reprint) by : B. B. Lieberman
Download or read book The Energy Decay of Solutions to the Initial-Boundary Value Problem for the Wave Equation in an Inhomogeneous Medium (Classic Reprint) written by B. B. Lieberman and published by . This book was released on 2016-06-25 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from The Energy Decay of Solutions to the Initial-Boundary Value Problem for the Wave Equation in an Inhomogeneous Medium If, initially, the disturbance were confined in some finite region in the exterior of a finite smooth reflecting body, one would expect that after a certain fixed time most of the disturbance would have propagated to infinity. In [i] it is shown with certain restrictions on the body that this is the case for c l, and the disturbance at a point dies out exponentially. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Book Synopsis On the Uniqueness of Solutions of the Dirichlet Problem for the Wave Equation in a Class of Functions Represented in the Form of a Sum of Plane Waves by : Andrej A. Lyashenko
Download or read book On the Uniqueness of Solutions of the Dirichlet Problem for the Wave Equation in a Class of Functions Represented in the Form of a Sum of Plane Waves written by Andrej A. Lyashenko and published by . This book was released on 1993 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Partial Differential Equations and Boundary-Value Problems with Applications by : Mark A. Pinsky
Download or read book Partial Differential Equations and Boundary-Value Problems with Applications written by Mark A. Pinsky and published by American Mathematical Soc.. This book was released on 2011 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building on the basic techniques of separation of variables and Fourier series, the book presents the solution of boundary-value problems for basic partial differential equations: the heat equation, wave equation, and Laplace equation, considered in various standard coordinate systems--rectangular, cylindrical, and spherical. Each of the equations is derived in the three-dimensional context; the solutions are organized according to the geometry of the coordinate system, which makes the mathematics especially transparent. Bessel and Legendre functions are studied and used whenever appropriate throughout the text. The notions of steady-state solution of closely related stationary solutions are developed for the heat equation; applications to the study of heat flow in the earth are presented. The problem of the vibrating string is studied in detail both in the Fourier transform setting and from the viewpoint of the explicit representation (d'Alembert formula). Additional chapters include the numerical analysis of solutions and the method of Green's functions for solutions of partial differential equations. The exposition also includes asymptotic methods (Laplace transform and stationary phase). With more than 200 working examples and 700 exercises (more than 450 with answers), the book is suitable for an undergraduate course in partial differential equations.
Book Synopsis Wave Scattering by Small Bodies of Arbitrary Shapes by : Alexander G. Ramm
Download or read book Wave Scattering by Small Bodies of Arbitrary Shapes written by Alexander G. Ramm and published by World Scientific. This book was released on 2005 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents analytical formulas which allow one to calculate the S-matrix for the acoustic and electromagnetic wave scattering by small bodies or arbitrary shapes with arbitrary accuracy. Equations for the self-consistent field in media consisting of many small bodies are derived. Applications of these results to ultrasound mammography and electrical engineering are considered.The above formulas are not available in the works of other authors. Their derivation is based on a mathematical theory for solving integral equations of electrostatics, magnetostatics, and other static fields. These equations are at a simple characteristic value. Convergent iterative processes are constructed for stable solution of these equations. The theory completes the classical work of Rayleigh on scattering by small bodies by providing analytical formulas for polarizability tensors for bodies of arbitrary shapes.
Book Synopsis Random Processes for Classical Equations of Mathematical Physics by : Sergey Ermakov
Download or read book Random Processes for Classical Equations of Mathematical Physics written by Sergey Ermakov and published by Springer Science & Business Media. This book was released on 1989-10-31 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Et moi *.... si j'avait su comment en revenir. One service mathema tics has rendered the je n'y serais point aIle.' human race. It has put common sense back Jules Verne where it belongs. on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. able to do something with it Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.
Book Synopsis Partial Differential Equations by : David Colton
Download or read book Partial Differential Equations written by David Colton and published by Courier Corporation. This book was released on 2012-06-14 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text offers students in mathematics, engineering, and the applied sciences a solid foundation for advanced studies in mathematics. Features coverage of integral equations and basic scattering theory. Includes exercises, many with answers. 1988 edition.
Book Synopsis Blow-Up in Nonlinear Equations of Mathematical Physics by : Maxim Olegovich Korpusov
Download or read book Blow-Up in Nonlinear Equations of Mathematical Physics written by Maxim Olegovich Korpusov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-08-06 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book carefully studies the blow-up phenomenon of solutions to partial differential equations, including many equations of mathematical physics. The included material is based on lectures read by the authors at the Lomonosov Moscow State University, and the book is addressed to a wide range of researchers and graduate students working in nonlinear partial differential equations, nonlinear functional analysis, and mathematical physics. Contents Nonlinear capacity method of S. I. Pokhozhaev Method of self-similar solutions of V. A. Galaktionov Method of test functions in combination with method of nonlinear capacity Energy method of H. A. Levine Energy method of G. Todorova Energy method of S. I. Pokhozhaev Energy method of V. K. Kalantarov and O. A. Ladyzhenskaya Energy method of M. O. Korpusov and A. G. Sveshnikov Nonlinear Schrödinger equation Variational method of L. E. Payne and D. H. Sattinger Breaking of solutions of wave equations Auxiliary and additional results
Book Synopsis Stochastic Processes in Mathematical Physics and Engineering by : Richard Ernest Bellman
Download or read book Stochastic Processes in Mathematical Physics and Engineering written by Richard Ernest Bellman and published by American Mathematical Soc.. This book was released on 1964-12-31 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations by : Tarek Mathew
Download or read book Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations written by Tarek Mathew and published by Springer Science & Business Media. This book was released on 2008-06-25 with total page 775 pages. Available in PDF, EPUB and Kindle. Book excerpt: Domain decomposition methods are divide and conquer computational methods for the parallel solution of partial differential equations of elliptic or parabolic type. The methodology includes iterative algorithms, and techniques for non-matching grid discretizations and heterogeneous approximations. This book serves as a matrix oriented introduction to domain decomposition methodology. A wide range of topics are discussed include hybrid formulations, Schwarz, and many more.
Book Synopsis Symmetries and Integrability of Difference Equations by : Peter A. Clarkson
Download or read book Symmetries and Integrability of Difference Equations written by Peter A. Clarkson and published by Cambridge University Press. This book was released on 1999-02-04 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises state-of-the-art articles in discrete integrable systems.
Book Synopsis Mathematical Analysis and Numerical Methods for Science and Technology by : Robert Dautray
Download or read book Mathematical Analysis and Numerical Methods for Science and Technology written by Robert Dautray and published by Springer Science & Business Media. This book was released on 1999-11-23 with total page 748 pages. Available in PDF, EPUB and Kindle. Book excerpt: These 6 volumes -- the result of a 10 year collaboration between the authors, both distinguished international figures -- compile the mathematical knowledge required by researchers in mechanics, physics, engineering, chemistry and other branches of application of mathematics for the theoretical and numerical resolution of physical models on computers. The advent of high-speed computers has made it possible to calculate values from models accurately and rapidly. Researchers and engineers thus have a crucial means of using numerical results to modify and adapt arguments and experiments along the way.
