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Author : Chiu-cheng Chang
Publisher :
ISBN 13 :
Total Pages : 46 pages
Book Rating : 4.:/5 (838 download)
Download or read book Integral Operators with Green's Functions as Kernel written by Chiu-cheng Chang and published by . This book was released on 1969 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gary Francis Roach
Publisher :
ISBN 13 :
Total Pages : 302 pages
Book Rating : 4.:/5 (318 download)
Download or read book Green's Functions: Introductory Theory with Applications written by Gary Francis Roach and published by . This book was released on 1970 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ivar Stakgold
Publisher : John Wiley & Sons
ISBN 13 : 0470906529
Total Pages : 883 pages
Book Rating : 4.4/5 (79 download)
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.
Author : Michael D. Greenberg
Publisher : Prentice Hall
ISBN 13 :
Total Pages : 162 pages
Book Rating : 4.3/5 (91 download)
Download or read book Application of Green's Functions in Science and Engineering written by Michael D. Greenberg and published by Prentice Hall. This book was released on 1971 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yu. V. Shestopalov
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110942054
Total Pages : 132 pages
Book Rating : 4.1/5 (19 download)
Download or read book Logarithmic Integral Equations in Electromagnetics written by Yu. V. Shestopalov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-11-05 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Logarithmic Integral Equations in Electromagnetics".
Author : Solomon G. Mikhlin
Publisher : Springer Science & Business Media
ISBN 13 : 9783540159674
Total Pages : 530 pages
Book Rating : 4.1/5 (596 download)
Download or read book Singular Integral Operators written by Solomon G. Mikhlin and published by Springer Science & Business Media. This book was released on 1987 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present edition differs from the original German one mainly in the following addi tional material: weighted norm inequalities for maximal functions and singular opera tors (§ 12, Chap. XI), polysingular integral operators and pseudo-differential operators (§§ 7, 8, Chap. XII), and spline approximation methods for solving singular integral equations (§ 4, Chap. XVII). Furthermore, we added two subsections on polynomial approximation methods for singular integral equations over an interval or with dis continuous coefficients (Nos. 3.6 and 3.7, Chap. XVII). In many places we incorporated new results which, in the vast majority, are from the last five years after publishing the German edition (note that the references are enlarged by about 150 new titles). S. G. Mikhlin wrote §§ 7, 8, Chap. XII, and the other additions were drawn up by S. Prossdorf. We wish to express our deepest gratitude to Dr. A. Bottcher and Dr. R. Lehmann who together translated the text into English carefully and with remarkable expertise.
Author : J. R. Berger
Publisher : DIANE Publishing
ISBN 13 : 0788148184
Total Pages : 174 pages
Book Rating : 4.7/5 (881 download)
Download or read book Green's Functions and Boundary Element Analysis for Modeling of Mechanical Behavior of Advanced Materials written by J. R. Berger and published by DIANE Publishing. This book was released on 1998-03 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: Demonstrates the potential of Green's functions & boundary element methods in solving a broad range of practical materials science problems. Papers include: Accurate Discretization of Integral Operators, Boundary Element Analysis of Bimaterials Using Anisotropic Elastic Green's Functions, Mechanical Properties of Metal-Matrix Composites, Approximate Operators for Boundary Integral Equations in Transient Elastodynamics, Simulation of the Electrochemical Machining Process Using a 2D Fundamental Singular Solution, Elastic Green's Functions for Anisotropic Solids, & more. Charts & tables.
Author : Stefan Bergman
Publisher : Courier Corporation
ISBN 13 : 0486154653
Total Pages : 450 pages
Book Rating : 4.4/5 (861 download)
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.
Author : Konrad Jörgens
Publisher : Pitman Advanced Publishing Program
ISBN 13 :
Total Pages : 400 pages
Book Rating : 4.:/5 (44 download)
Download or read book Linear Integral Operators written by Konrad Jörgens and published by Pitman Advanced Publishing Program. This book was released on 1982 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dean G. Duffy
Publisher : CRC Press
ISBN 13 : 1482251035
Total Pages : 685 pages
Book Rating : 4.4/5 (822 download)
Download or read book Green's Functions with Applications written by Dean G. Duffy and published by CRC Press. This book was released on 2015-03-10 with total page 685 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since publication of the first edition over a decade ago, Green’s Functions with Applications has provided applied scientists and engineers with a systematic approach to the various methods available for deriving a Green’s function. This fully revised Second Edition retains the same purpose, but has been meticulously updated to reflect the current state of the art. The book opens with necessary background information: a new chapter on the historical development of the Green’s function, coverage of the Fourier and Laplace transforms, a discussion of the classical special functions of Bessel functions and Legendre polynomials, and a review of the Dirac delta function. The text then presents Green’s functions for each class of differential equation (ordinary differential, wave, heat, and Helmholtz equations) according to the number of spatial dimensions and the geometry of the domain. Detailing step-by-step methods for finding and computing Green’s functions, each chapter contains a special section devoted to topics where Green’s functions particularly are useful. For example, in the case of the wave equation, Green’s functions are beneficial in describing diffraction and waves. To aid readers in developing practical skills for finding Green’s functions, worked examples, problem sets, and illustrations from acoustics, applied mechanics, antennas, and the stability of fluids and plasmas are featured throughout the text. A new chapter on numerical methods closes the book. Included solutions and hundreds of references to the literature on the construction and use of Green's functions make Green’s Functions with Applications, Second Edition a valuable sourcebook for practitioners as well as graduate students in the sciences and engineering.
Author : Andrea Prosperetti
Publisher : Cambridge University Press
ISBN 13 : 1139492683
Total Pages : 743 pages
Book Rating : 4.1/5 (394 download)
Download or read book Advanced Mathematics for Applications written by Andrea Prosperetti and published by Cambridge University Press. This book was released on 2011-01-06 with total page 743 pages. Available in PDF, EPUB and Kindle. Book excerpt: The partial differential equations that govern scalar and vector fields are the very language used to model a variety of phenomena in solid mechanics, fluid flow, acoustics, heat transfer, electromagnetism and many others. A knowledge of the main equations and of the methods for analyzing them is therefore essential to every working physical scientist and engineer. Andrea Prosperetti draws on many years' research experience to produce a guide to a wide variety of methods, ranging from classical Fourier-type series through to the theory of distributions and basic functional analysis. Theorems are stated precisely and their meaning explained, though proofs are mostly only sketched, with comments and examples being given more prominence. The book structure does not require sequential reading: each chapter is self-contained and users can fashion their own path through the material. Topics are first introduced in the context of applications, and later complemented by a more thorough presentation.
Author : Michael D. Greenberg
Publisher : Courier Dover Publications
ISBN 13 : 0486797961
Total Pages : 164 pages
Book Rating : 4.4/5 (867 download)
Download or read book Applications of Green's Functions in Science and Engineering written by Michael D. Greenberg and published by Courier Dover Publications. This book was released on 2015-08-19 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: In addition to coverage of Green's function, this concise introductory treatment examines boundary value problems, generalized functions, eigenfunction expansions, partial differential equations, and acoustics. Suitable for undergraduate and graduate students. 1971 edition.
Author : John K. Hunter
Publisher : World Scientific
ISBN 13 : 9789810241919
Total Pages : 460 pages
Book Rating : 4.2/5 (419 download)
Download or read book Applied Analysis written by John K. Hunter and published by World Scientific. This book was released on 2001 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to those parts of analysis that are most useful in applications for graduate students. The material is selected for use in applied problems, and is presented clearly and simply but without sacrificing mathematical rigor. The text is accessible to students from a wide variety of backgrounds, including undergraduate students entering applied mathematics from non-mathematical fields and graduate students in the sciences and engineering who want to learn analysis. A basic background in calculus, linear algebra and ordinary differential equations, as well as some familiarity with functions and sets, should be sufficient.
Author : Heinrich G. W. Begehr
Publisher : Chapman and Hall/CRC
ISBN 13 :
Total Pages : 424 pages
Book Rating : 4.3/5 (91 download)
Download or read book Transformations, Transmutations, and Kernel Functions, Volume I written by Heinrich G. W. Begehr and published by Chapman and Hall/CRC. This book was released on 1992-12-14 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: A broad ranging collection of recent results in the subject covering areas from plane elasticity to second and higher order elliptic equations. The chapters may be read individually, providing a more accessible forum for the applications.
Author : Pascal Kordt
Publisher : Forschungszentrum Jülich
ISBN 13 : 3893367608
Total Pages : 157 pages
Book Rating : 4.8/5 (933 download)
Download or read book Single-site Green Function of the Dirac Equation for Full-potential Electron Scattering written by Pascal Kordt and published by Forschungszentrum Jülich. This book was released on 2012 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : George W. Hanson
Publisher : Springer Science & Business Media
ISBN 13 : 1475736797
Total Pages : 640 pages
Book Rating : 4.4/5 (757 download)
Download or read book Operator Theory for Electromagnetics written by George W. Hanson and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text discusses electromagnetics from the view of operator theory, in a manner more commonly seen in textbooks of quantum mechanics. It includes a self-contained introduction to operator theory, presenting definitions and theorems, plus proofs of the theorems when these are simple or enlightening.
Author : Christopher Denis Green
Publisher :
ISBN 13 :
Total Pages : 260 pages
Book Rating : 4.F/5 ( download)
Download or read book Integral Equation Methods written by Christopher Denis Green and published by . This book was released on 1969 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt:
