Projection Methods for Boundary Value Problems for Equations of Elliptic and Parabolic Type with Discontinuous Coefficients

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Publisher :
ISBN 13 :
Total Pages : 442 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Projection Methods for Boundary Value Problems for Equations of Elliptic and Parabolic Type with Discontinuous Coefficients by : Garth Arnold Baker

Download or read book Projection Methods for Boundary Value Problems for Equations of Elliptic and Parabolic Type with Discontinuous Coefficients written by Garth Arnold Baker and published by . This book was released on 1973 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Full Field Inversion Methods in Ocean and Seismo-Acoustics

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Publisher : Springer Science & Business Media
ISBN 13 : 9401584761
Total Pages : 424 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Full Field Inversion Methods in Ocean and Seismo-Acoustics by : Orest Diachok

Download or read book Full Field Inversion Methods in Ocean and Seismo-Acoustics written by Orest Diachok and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent advances in the power of inversion methods, the accuracy of acoustic field prediction codes, and the speed of digital computers have made the full field inversion of ocean and seismic parameters on a large scale a practical possibility. These methods exploit amplitude and phase information detected on hydrophone/geophone arrays, thereby extending traditional inversion schemes based on time of flight measurements. Full field inversion methods provide environmental information by minimising the mismatch between measured and predicted acoustic fields through a global search of possible environmental parameters. Full Field Inversion Methods in Ocean and Seismo-Acoustics is the formal record of a conference held in Italy in June 1994, sponsored by NATO SACLANT Undersea Research Centre. It includes papers by NATO specialists and others. Topics covered include: · speed and accuracy of acoustic field prediction codes · signal processing strategies · global inversion algorithms · search spaces of environmental parameters · environmental stochastic limitations · special purpose computer architectures · measurement geometries · source and receiving sensor technologies.

Boundary Value Problems with Global Projection Conditions

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Publisher : Birkhäuser
ISBN 13 : 3319701142
Total Pages : 410 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Boundary Value Problems with Global Projection Conditions by : Xiaochun Liu

Download or read book Boundary Value Problems with Global Projection Conditions written by Xiaochun Liu and published by Birkhäuser. This book was released on 2018-10-30 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents boundary value problems for arbitrary elliptic pseudo-differential operators on a smooth compact manifold with boundary. In this regard, every operator admits global projection boundary conditions, giving rise to analogues of Toeplitz operators in subspaces of Sobolev spaces on the boundary associated with pseudo-differential projections. The book describes how these operator classes form algebras, and establishes the concept for Boutet de Monvel’s calculus, as well as for operators on manifolds with edges, including the case of operators without the transmission property. Further, it shows how the calculus contains parametrices of elliptic elements. Lastly, the book describes natural connections to ellipticity of Atiyah-Patodi-Singer type for Dirac and other geometric operators, in particular spectral boundary conditions with Calderón-Seeley projections and the characterization of Cauchy data spaces.

Separable Boundary-Value Problems in Physics

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Publisher : John Wiley & Sons
ISBN 13 : 3527634932
Total Pages : 351 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Separable Boundary-Value Problems in Physics by : Morten Willatzen

Download or read book Separable Boundary-Value Problems in Physics written by Morten Willatzen and published by John Wiley & Sons. This book was released on 2011-05-03 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: Innovative developments in science and technology require a thorough knowledge of applied mathematics, particularly in the field of differential equations and special functions. These are relevant in modeling and computing applications of electromagnetic theory and quantum theory, e.g. in photonics and nanotechnology. The problem of solving partial differential equations remains an important topic that is taught at both the undergraduate and graduate level. Separable Boundary-Value Problems in Physics is an accessible and comprehensive treatment of partial differential equations in mathematical physics in a variety of coordinate systems and geometry and their solutions, including a differential geometric formulation, using the method of separation of variables. With problems and modern examples from the fields of nano-technology and other areas of physics. The fluency of the text and the high quality of graphics make the topic easy accessible. The organization of the content by coordinate systems rather than by equation types is unique and offers an easy access. The authors consider recent research results which have led to a much increased pedagogical understanding of not just this topic but of many other related topics in mathematical physics, and which like the explicit discussion on differential geometry shows - yet have not been treated in the older texts. To the benefit of the reader, a summary presents a convenient overview on all special functions covered. Homework problems are included as well as numerical algorithms for computing special functions. Thus this book can serve as a reference text for advanced undergraduate students, as a textbook for graduate level courses, and as a self-study book and reference manual for physicists, theoretically oriented engineers and traditional mathematicians.

Boundary Value Problems for Elliptic Systems

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Publisher : Cambridge University Press
ISBN 13 : 0521430119
Total Pages : 659 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis Boundary Value Problems for Elliptic Systems by : J. T. Wloka

Download or read book Boundary Value Problems for Elliptic Systems written by J. T. Wloka and published by Cambridge University Press. This book was released on 1995-07-28 with total page 659 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of boundary value problems for elliptic systems of partial differential equations has many applications in mathematics and the physical sciences. The aim of this book is to "algebraize" the index theory by means of pseudo-differential operators and new methods in the spectral theory of matrix polynomials. This latter theory provides important tools that will enable the student to work efficiently with the principal symbols of the elliptic and boundary operators on the boundary. Because many new methods and results are introduced and used throughout the book, all the theorems are proved in detail, and the methods are well illustrated through numerous examples and exercises. This book is ideal for use in graduate level courses on partial differential equations, elliptic systems, pseudo-differential operators, and matrix analysis.

Boundary Value Problems, Integral Equations And Related Problems - Proceedings Of The Third International Conference

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Publisher : World Scientific
ISBN 13 : 981451831X
Total Pages : 436 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Boundary Value Problems, Integral Equations And Related Problems - Proceedings Of The Third International Conference by : Guo Chun Wen

Download or read book Boundary Value Problems, Integral Equations And Related Problems - Proceedings Of The Third International Conference written by Guo Chun Wen and published by World Scientific. This book was released on 2010-12-21 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, we report new results about various boundary value problems for partial differential equations and functional equations, theory and methods of integral equations and integral operators including singular integral equations, applications of boundary value problems and integral equations to mechanics and physics, numerical methods of integral equations and boundary value problems, theory and methods for inverse problems of mathematical physics, Clifford analysis and related problems.Contributors include: L Baratchart, B L Chen, D C Chen, S S Ding, K Q Lan, A Farajzadeh, M G Fei, T Kosztolowicz, A Makin, T Qian, J M Rassias, J Ryan, C-Q Ru, P Schiavone, P Wang, Q S Zhang, X Y Zhang, S Y Du, H Y Gao, X Li, Y Y Qiao, G C Wen, Z T Zhang, etc.

Variational Methods for Boundary Value Problems for Systems of Elliptic Equations

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Publisher : Courier Dover Publications
ISBN 13 : 0486160289
Total Pages : 164 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Variational Methods for Boundary Value Problems for Systems of Elliptic Equations by : M. A. Lavrent’ev

Download or read book Variational Methods for Boundary Value Problems for Systems of Elliptic Equations written by M. A. Lavrent’ev and published by Courier Dover Publications. This book was released on 2016-01-14 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Famous monograph by a distinguished mathematician presents an innovative approach to classical boundary value problems. The treatment employs the basic scheme first suggested by Hilbert and developed by Tonnelli. 1963 edition.

Unified Transform for Boundary Value Problems

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Publisher : SIAM
ISBN 13 : 1611973821
Total Pages : 290 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Unified Transform for Boundary Value Problems by : Athanasios S. Fokas

Download or read book Unified Transform for Boundary Value Problems written by Athanasios S. Fokas and published by SIAM. This book was released on 2015-01-01 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes state-of-the-art advances and applications of the unified transform and its relation to the boundary element method. The authors present the solution of boundary value problems from several different perspectives, in particular the type of problems modeled by partial differential equations (PDEs). They discuss recent applications of the unified transform to the analysis and numerical modeling of boundary value problems for linear and integrable nonlinear PDEs and the closely related boundary element method, a well-established numerical approach for solving linear elliptic PDEs. The text is divided into three parts. Part I contains new theoretical results on linear and nonlinear evolutionary and elliptic problems. New explicit solution representations for several classes of boundary value problems are constructed and rigorously analyzed. Part II is a detailed overview of variational formulations for elliptic problems. It places the unified transform approach in a classic context alongside the boundary element method and stresses its novelty. Part III presents recent numerical applications based on the boundary element method and on the unified transform.

Boundary Value Problems for Hyperbolic Partial Differential Equations with Constant Coefficients

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ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Boundary Value Problems for Hyperbolic Partial Differential Equations with Constant Coefficients by : J. F. Heyda

Download or read book Boundary Value Problems for Hyperbolic Partial Differential Equations with Constant Coefficients written by J. F. Heyda and published by . This book was released on 1959 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:

U.S.S.R. Computational Mathematics and Mathematical Physics

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Publisher :
ISBN 13 :
Total Pages : 1092 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis U.S.S.R. Computational Mathematics and Mathematical Physics by :

Download or read book U.S.S.R. Computational Mathematics and Mathematical Physics written by and published by . This book was released on 1968 with total page 1092 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Boundary Value Problems for Partial Differential Equations and Applications in Electrodynamics

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Publisher : World Scientific
ISBN 13 : 9789810213510
Total Pages : 252 pages
Book Rating : 4.2/5 (135 download)

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Book Synopsis Boundary Value Problems for Partial Differential Equations and Applications in Electrodynamics by : N. E. Tovmasyan

Download or read book Boundary Value Problems for Partial Differential Equations and Applications in Electrodynamics written by N. E. Tovmasyan and published by World Scientific. This book was released on 1994 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Second Order Elliptic Equations

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Publisher : Elsevier
ISBN 13 : 0323162266
Total Pages : 212 pages
Book Rating : 4.3/5 (231 download)

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Book Synopsis Boundary Value Problems For Second Order Elliptic Equations by : A.V. Bitsadze

Download or read book Boundary Value Problems For Second Order Elliptic Equations written by A.V. Bitsadze and published by Elsevier. This book was released on 2012-12-02 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applied Mathematics and Mechanics, Volume 5: Boundary Value Problems: For Second Order Elliptic Equations is a revised and augmented version of a lecture course on non-Fredholm elliptic boundary value problems, delivered at the Novosibirsk State University in the academic year 1964-1965. This seven-chapter text is devoted to a study of the basic linear boundary value problems for linear second order partial differential equations, which satisfy the condition of uniform ellipticity. The opening chapter deals with the fundamental aspects of the linear equations theory in normed linear spaces. This topic is followed by discussions on solutions of elliptic equations and the formulation of Dirichlet problem for a second order elliptic equation. A chapter focuses on the solution equation for the directional derivative problem. Another chapter surveys the formulation of the Poincaré problem for second order elliptic systems in two independent variables. This chapter also examines the theory of one-dimensional singular integral equations that allow the investigation of highly important classes of boundary value problems. The final chapter looks into other classes of multidimensional singular integral equations and related boundary value problems.

A Bibliography for the Numerical Solution of Partial Differential Equations

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Publisher :
ISBN 13 :
Total Pages : 126 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis A Bibliography for the Numerical Solution of Partial Differential Equations by : John H. Giese

Download or read book A Bibliography for the Numerical Solution of Partial Differential Equations written by John H. Giese and published by . This book was released on 1969 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: A list of 2561 references to the numerical solution of partial differential equations has been compiled. References to reviews in several abstracting journals have been given, and a crude index has been prepared. (Author).

Boundary Value Problems for Elliptic Equations and Systems

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Publisher : Chapman & Hall/CRC
ISBN 13 :
Total Pages : 432 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Boundary Value Problems for Elliptic Equations and Systems by : Guo Chun Wen

Download or read book Boundary Value Problems for Elliptic Equations and Systems written by Guo Chun Wen and published by Chapman & Hall/CRC. This book was released on 1990 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph mainly deals with several boundary value problems for linear and nonlinear elliptic equations and systems by using function theoretic methods. The established theory is systematic, the considered equations and systems, boundary conditions and domains are rather general. Various methods are used. As an application, the existence of nonlinear quasiconformal mappings onto canonical domains is proved.

A Finite Element Method for Interface Problems in Domains with Smooth Boundaries and Interfaces

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Publisher :
ISBN 13 :
Total Pages : 40 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis A Finite Element Method for Interface Problems in Domains with Smooth Boundaries and Interfaces by : James H. Bramble

Download or read book A Finite Element Method for Interface Problems in Domains with Smooth Boundaries and Interfaces written by James H. Bramble and published by . This book was released on 1994 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Encyclopaedia of Mathematics

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Publisher : Springer Science & Business Media
ISBN 13 : 9400903650
Total Pages : 743 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Encyclopaedia of Mathematics by : Michiel Hazewinkel

Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 743 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.

A Unified Approach to Boundary Value Problems

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Publisher : SIAM
ISBN 13 : 0898716519
Total Pages : 327 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis A Unified Approach to Boundary Value Problems by : Athanassios S. Fokas

Download or read book A Unified Approach to Boundary Value Problems written by Athanassios S. Fokas and published by SIAM. This book was released on 2008-11-06 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: A novel approach to analysing initial-boundary value problems for integrable partial differential equations (PDEs) in two dimensions, based on ideas of the inverse scattering transform that the author introduced in 1997. This method is unique in also yielding novel integral representations for linear PDEs. Several new developments are addressed in the book, including a new transform method for linear evolution equations on the half-line and on the finite interval; analytical inversion of certain integrals such as the attenuated Radon transform and the Dirichlet-to-Neumann map for a moving boundary; integral representations for linear boundary value problems; analytical and numerical methods for elliptic PDEs in a convex polygon; and integrable nonlinear PDEs. An epilogue provides a list of problems on which the author's new approach has been used, offers open problems, and gives a glimpse into how the method might be applied to problems in three dimensions.