Utilizing Mathematica Software Solution of Boundary Value Problems in Nuclear Engineering by the Green's Function Method PDF Download
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Author: Dilek Şener
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Dilek Şener
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Ivar Stakgold
Publisher: John Wiley & Sons
ISBN: 0470906529
Category : Mathematics
Languages : en
Pages : 883
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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: Ali Ümit Keskin
Publisher: Springer
ISBN: 3030210804
Category : Technology & Engineering
Languages : en
Pages : 517
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Book Description
This book is designed to supplement standard texts and teaching material in the areas of differential equations in engineering such as in Electrical ,Mechanical and Biomedical engineering. Emphasis is placed on the Boundary Value Problems that are often met in these fields.This keeps the the spectrum of the book rather focussed .The book has basically emerged from the need in the authors lectures on “Advanced Numerical Methods in Biomedical Engineering” at Yeditepe University and it is aimed to assist the students in solving general and application specific problems in Science and Engineering at upper-undergraduate and graduate level.Majority of the problems given in this book are self-contained and have varying levels of difficulty to encourage the student. Problems that deal with MATLAB simulations are particularly intended to guide the student to understand the nature and demystify theoretical aspects of these problems. Relevant references are included at the end of each chapter. Here one will also find large number of software that supplements this book in the form of MATLAB script (.m files). The name of the files used for the solution of a problem are indicated at the end of each corresponding problem statement.There are also some exercises left to students as homework assignments in the book. An outstanding feature of the book is the large number and variety of the solved problems that are included in it. Some of these problems can be found relatively simple, while others are more challenging and used for research projects. All solutions to the problems and script files included in the book have been tested using recent MATLAB software.The features and the content of this book will be most useful to the students studying in Engineering fields, at different levels of their education (upper undergraduate-graduate).
Author: B. A. Volynskii
Publisher: Elsevier
ISBN: 1483181375
Category : Mathematics
Languages : en
Pages : 474
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Book Description
Analogues for the Solution of Boundary-Value Problems considers the simulation of integral methods of solving boundary-value problems. This book is organized into 11 chapters. After the introduction provided in Chapter I, the formulation of some important engineering problems that reduce to the solution of partial differential equations is reviewed in Chapter II. Chapter III covers the mathematical methods for the solution of problems, such as the thermal problem of electrode graphitization and underground coal gasification. The theory of the physical processes of electrical simulation and principles involved in the construction of analogues is elaborated in Chapter IV, while the measurements in electrical analogues is deliberated in Chapter V. Chapters VI to VIII describe the construction of network analyzers and star-integrating networks. The methods of physical simulation for the solution of certain boundary-value problems are analyzed in Chapter IX. Chapters X and XI are devoted to future improvements and developments in analogues for the solution of boundary-value problems. This publication is intended for college students and specialists engaged in solving boundary-value problems.
Author: T.Y. Na
Publisher: Academic Press
ISBN: 008095653X
Category : Computers
Languages : en
Pages : 321
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Computational Methods in Engineering Boundary Value Problems
Author: Milan Kubicek
Publisher: Courier Corporation
ISBN: 0486463001
Category : Mathematics
Languages : en
Pages : 338
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Book Description
A survey of the development, analysis, and application of numerical techniques in solving nonlinear boundary value problems, this text presents numerical analysis as a working tool for physicists and engineers. Starting with a survey of accomplishments in the field, it explores initial and boundary value problems for ordinary differential equations, linear boundary value problems, and the numerical realization of parametric studies in nonlinear boundary value problems. The authors--Milan Kubicek, Professor at the Prague Institute of Chemical Technology, and Vladimir Hlavacek, Professor at the University of Buffalo--emphasize the description and straightforward application of numerical techniques rather than underlying theory. This approach reflects their extensive experience with the application of diverse numerical algorithms.
Author: Mstislav Vsevolodovich Keldysh
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 64
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Author: Akpofure E. Taigbenu
Publisher: Springer Science & Business Media
ISBN: 9780792385103
Category : Language Arts & Disciplines
Languages : en
Pages : 384
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Book Description
The Green element method (GEM) is a novel approach of implementing in an element-by-element fashion the singular boundary integral theory, thereby enhancing the capabilities of the theory in terms of ease in solving nonlinear problems, adapting to heterogeneous problems, and achieving spareness in the global coefficient matrix. By proceeding in this manner, GEM provides solutions to linear, nonlinear, steady and transient engineering problems in one- and two-dimensional domains, some of which hitherto could not be handled by the boundary integral theory. The primary motivation for the Green element method, therefore, lies in the enhancement of the computational capabilities that it has given to the boundary element theory. The main objectives of this text are to serve as an instructional material to senior undergraduate and first-year graduate students undertaking a course in computational methods and their applications to engineering problems, and as a resource material for research scientists, applied mathematicians, numerical analysts, and engineers who may wish to take these ideas to new frontiers and applications. To enhance the feel for the method, exercises are presented at the end of some of the chapters, and sample data can be run with the executable program GEMLN1D that can be accessed either at: www.nust.ac.zw/aetaigbenu/gem/GEMLN1D or: www.lafetech.com/gem/GEMLN1D.
Author: Karel Rektorys
Publisher: CRC Press
ISBN: 9780849325526
Category : Mathematics
Languages : en
Pages : 218
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Book Description
This book provides an elementary, accessible introduction for engineers and scientists to the concepts of ordinary and partial boundary value problems, acquainting readers with fundamental properties and with efficient methods of constructing solutions or satisfactory approximations. Discussions include: ordinary differential equations classical theory of partial differential equations Laplace and Poisson equations heat equation variational methods of solution of corresponding boundary value problems methods of solution for evolution partial differential equations The author presents special remarks for the mathematical reader, demonstrating the possibility of generalizations of obtained results and showing connections between them. For the non-mathematician, the author provides profound functional-analytical results without proofs and refers the reader to the literature when necessary. Solving Ordinary and Partial Boundary Value Problems in Science and Engineering contains essential functional analytical concepts, explaining its subject without excessive abstraction.
Author: Joseph Anderson (CAPT, USAF.)
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages :
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