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Author : Frank Chorlton
Publisher :
ISBN 13 : 9780442015435
Total Pages : 250 pages
Book Rating : 4.0/5 (154 download)
Download or read book Boundary Value Problems in Physics and Engineering written by Frank Chorlton and published by . This book was released on 1969 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : M. Necati Ozisik
Publisher : Courier Corporation
ISBN 13 : 0486782867
Total Pages : 515 pages
Book Rating : 4.4/5 (867 download)
Download or read book Boundary Value Problems of Heat Conduction written by M. Necati Ozisik and published by Courier Corporation. This book was released on 2013-11-26 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for first-year graduate courses in heat transfer, this volume includes topics relevant to chemical and nuclear engineering and aerospace engineering. The systematic and comprehensive treatment employs modern mathematical methods of solving problems in heat conduction and diffusion. Starting with precise coverage of heat flux as a vector, derivation of the conduction equations, integral-transform technique, and coordinate transformations, the text advances to problem characteristics peculiar to Cartesian, cylindrical, and spherical coordinates; application of Duhamel's method; solution of heat-conduction problems; and the integral method of solution of nonlinear conduction problems. Additional topics include useful transformations in the solution of nonlinear boundary value problems of heat conduction; numerical techniques such as the finite differences and the Monte Carlo method; and anisotropic solids in relation to resistivity and conductivity tensors. Illustrative examples and problems amplify the text, which is supplemented by helpful appendixes.
Author : Rolf Leis
Publisher : Courier Corporation
ISBN 13 : 0486315827
Total Pages : 272 pages
Book Rating : 4.4/5 (863 download)
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.
Author : Ivar Stakgold
Publisher : SIAM
ISBN 13 : 0898714567
Total Pages : 1156 pages
Book Rating : 4.8/5 (987 download)
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.
Author : Morten Willatzen
Publisher : John Wiley & Sons
ISBN 13 : 3527634932
Total Pages : 351 pages
Book Rating : 4.5/5 (276 download)
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.
Author : C. Rogers
Publisher : Academic Press
ISBN 13 : 0080958702
Total Pages : 415 pages
Book Rating : 4.0/5 (89 download)
Download or read book Nonlinear Boundary Value Problems in Science and Engineering written by C. Rogers and published by Academic Press. This book was released on 1989-11-14 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: Overall, our object has been to provide an applications-oriented text that is reasonably self-contained. It has been used as the basis for a graduate-level course both at the University of Waterloo and at the Centro Studie Applicazioni in Tecnologie Avante, Bari, Italy. The text is aimed, in the main, at applied mathematicians with a strong interest in physical applications or at engineers working in theoretical mechanics.
Author : T.Y. Na
Publisher : Academic Press
ISBN 13 : 008095653X
Total Pages : 321 pages
Book Rating : 4.0/5 (89 download)
Download or read book Computational Methods in Engineering Boundary Value Problems written by T.Y. Na and published by Academic Press. This book was released on 1980-01-18 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Methods in Engineering Boundary Value Problems
Author : Stephen A. Wirkus
Publisher : CRC Press
ISBN 13 : 1498736068
Total Pages : 788 pages
Book Rating : 4.4/5 (987 download)
Download or read book A Course in Differential Equations with Boundary Value Problems written by Stephen A. Wirkus and published by CRC Press. This book was released on 2017-01-24 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Course in Differential Equations with Boundary Value Problems, 2nd Edition adds additional content to the author’s successful A Course on Ordinary Differential Equations, 2nd Edition. This text addresses the need when the course is expanded. The focus of the text is on applications and methods of solution, both analytical and numerical, with emphasis on methods used in the typical engineering, physics, or mathematics student’s field of study. The text provides sufficient problems so that even the pure math major will be sufficiently challenged. The authors offer a very flexible text to meet a variety of approaches, including a traditional course on the topic. The text can be used in courses when partial differential equations replaces Laplace transforms. There is sufficient linear algebra in the text so that it can be used for a course that combines differential equations and linear algebra. Most significantly, computer labs are given in MATLAB®, Mathematica®, and MapleTM. The book may be used for a course to introduce and equip the student with a knowledge of the given software. Sample course outlines are included. Features MATLAB®, Mathematica®, and MapleTM are incorporated at the end of each chapter All three software packages have parallel code and exercises There are numerous problems of varying difficulty for both the applied and pure math major, as well as problems for engineering, physical science and other students. An appendix that gives the reader a "crash course" in the three software packages Chapter reviews at the end of each chapter to help the students review Projects at the end of each chapter that go into detail about certain topics and introduce new topics that the students are now ready to see Answers to most of the odd problems in the back of the book
Author : Valeri Agoshkov
Publisher : Springer Science & Business Media
ISBN 13 : 9780817639860
Total Pages : 304 pages
Book Rating : 4.6/5 (398 download)
Download or read book Boundary Value Problems for Transport Equations written by Valeri Agoshkov and published by Springer Science & Business Media. This book was released on 1998-09-29 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the modern theory of boundary value problems the following ap proach to investigation is agreed upon (we call it the functional approach): some functional spaces are chosen; the statements of boundary value prob the basis of these spaces; and the solvability of lems are formulated on the problems, properties of solutions, and their dependence on the original data of the problems are analyzed. These stages are put on the basis of the correct statement of different problems of mathematical physics (or of the definition of ill-posed problems). For example, if the solvability of a prob lem in the functional spaces chosen cannot be established then, probably, the reason is in their unsatisfactory choice. Then the analysis should be repeated employing other functional spaces. Elliptical problems can serve as an example of classical problems which are analyzed by this approach. Their investigations brought a number of new notions and results in the theory of Sobolev spaces W;(D) which, in turn, enabled us to create a sufficiently complete theory of solvability of elliptical equations. Nowadays the mathematical theory of radiative transfer problems and kinetic equations is an extensive area of modern mathematical physics. It has various applications in astrophysics, the theory of nuclear reactors, geophysics, the theory of chemical processes, semiconductor theory, fluid mechanics, etc. [25,29,31,39,40, 47, 52, 78, 83, 94, 98, 120, 124, 125, 135, 146].
Author : Enrique A. Gonzalez-Velasco
Publisher : Elsevier
ISBN 13 : 0080531938
Total Pages : 565 pages
Book Rating : 4.0/5 (85 download)
Download or read book Fourier Analysis and Boundary Value Problems written by Enrique A. Gonzalez-Velasco and published by Elsevier. This book was released on 1996-11-28 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fourier Analysis and Boundary Value Problems provides a thorough examination of both the theory and applications of partial differential equations and the Fourier and Laplace methods for their solutions. Boundary value problems, including the heat and wave equations, are integrated throughout the book. Written from a historical perspective with extensive biographical coverage of pioneers in the field, the book emphasizes the important role played by partial differential equations in engineering and physics. In addition, the author demonstrates how efforts to deal with these problems have lead to wonderfully significant developments in mathematics. A clear and complete text with more than 500 exercises, Fourier Analysis and Boundary Value Problems is a good introduction and a valuable resource for those in the field. Topics are covered from a historical perspective with biographical information on key contributors to the field The text contains more than 500 exercises Includes practical applications of the equations to problems in both engineering and physics
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 : Ferdinand F. Cap
Publisher : CRC Press
ISBN 13 : 0203502604
Total Pages : 352 pages
Book Rating : 4.2/5 (35 download)
Download or read book Mathematical Methods in Physics and Engineering with Mathematica written by Ferdinand F. Cap and published by CRC Press. This book was released on 2003-05-28 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: More than ever before, complicated mathematical procedures are integral to the success and advancement of technology, engineering, and even industrial production. Knowledge of and experience with these procedures is therefore vital to present and future scientists, engineers and technologists. Mathematical Methods in Physics and Engineering
Author : Rolf Leis
Publisher : Springer-Verlag
ISBN 13 : 3663106497
Total Pages : 273 pages
Book Rating : 4.6/5 (631 download)
Download or read book Initial Boundary Value Problems in Mathematical Physics written by Rolf Leis and published by Springer-Verlag. This book was released on 2013-11-21 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Johnny Henderson
Publisher : Academic Press
ISBN 13 : 0128036796
Total Pages : 322 pages
Book Rating : 4.1/5 (28 download)
Download or read book Boundary Value Problems for Systems of Differential, Difference and Fractional Equations written by Johnny Henderson and published by Academic Press. This book was released on 2015-10-30 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boundary Value Problems for Systems of Differential, Difference and Fractional Equations: Positive Solutions discusses the concept of a differential equation that brings together a set of additional constraints called the boundary conditions. As boundary value problems arise in several branches of math given the fact that any physical differential equation will have them, this book will provide a timely presentation on the topic. Problems involving the wave equation, such as the determination of normal modes, are often stated as boundary value problems. To be useful in applications, a boundary value problem should be well posed. This means that given the input to the problem there exists a unique solution, which depends continuously on the input. Much theoretical work in the field of partial differential equations is devoted to proving that boundary value problems arising from scientific and engineering applications are in fact well-posed. Explains the systems of second order and higher orders differential equations with integral and multi-point boundary conditions Discusses second order difference equations with multi-point boundary conditions Introduces Riemann-Liouville fractional differential equations with uncoupled and coupled integral boundary conditions
Author : Kenneth J. Beers
Publisher : Cambridge University Press
ISBN 13 : 9780521859714
Total Pages : 496 pages
Book Rating : 4.8/5 (597 download)
Download or read book Numerical Methods for Chemical Engineering written by Kenneth J. Beers and published by Cambridge University Press. This book was released on 2007 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applications of numerical mathematics and scientific computing to chemical engineering.
Author : Valeri Agoshkov
Publisher : Springer Science & Business Media
ISBN 13 : 1461219949
Total Pages : 295 pages
Book Rating : 4.4/5 (612 download)
Download or read book Boundary Value Problems for Transport Equations written by Valeri Agoshkov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the modern theory of boundary value problems the following ap proach to investigation is agreed upon (we call it the functional approach): some functional spaces are chosen; the statements of boundary value prob the basis of these spaces; and the solvability of lems are formulated on the problems, properties of solutions, and their dependence on the original data of the problems are analyzed. These stages are put on the basis of the correct statement of different problems of mathematical physics (or of the definition of ill-posed problems). For example, if the solvability of a prob lem in the functional spaces chosen cannot be established then, probably, the reason is in their unsatisfactory choice. Then the analysis should be repeated employing other functional spaces. Elliptical problems can serve as an example of classical problems which are analyzed by this approach. Their investigations brought a number of new notions and results in the theory of Sobolev spaces W;(D) which, in turn, enabled us to create a sufficiently complete theory of solvability of elliptical equations. Nowadays the mathematical theory of radiative transfer problems and kinetic equations is an extensive area of modern mathematical physics. It has various applications in astrophysics, the theory of nuclear reactors, geophysics, the theory of chemical processes, semiconductor theory, fluid mechanics, etc. [25,29,31,39,40, 47, 52, 78, 83, 94, 98, 120, 124, 125, 135, 146].
Author : David E. Johnson
Publisher : Prentice Hall
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.3/5 (91 download)
Download or read book Mathematical Methods in Engineering and Physics written by David E. Johnson and published by Prentice Hall. This book was released on 1982 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
