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Synopsis
Presents basic theoretical material on numerical analysis, convergence, error estimates and accuracy. The unique computational approach leads the reader from theoretical and practical problems to computation with hands-on guidance for input files and the execution of computer programs. All supporting Mathematicar files related to the book are available via the Internet at the authors' websites. For professionals, graduate students, and researchers in mathematics, physical sciences, and engineering. Readers interested in the numerical solution of integral equations will find the book's practical problem-solving style both accessible and useful for their work.
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Review
"The monograph is devoted to numerical methods for solving one-dimensional linear integral equations. Fredholm and Volterra integral equations of first and second kinds are considered. The authors pay more attention to computational aspects of solving integral equations. A lot of numerical examples and results of computations by computers are presented." ―Mathematical Reviews
"This book presents numerical methods and computational aspects for linear integral equations that appear in various areas of applied mathematics, physics, and engineering.... The book is an excellent reference for graduate students and researchers in mathematics and engineering." ―Memoriile Sectiilor Stiintifice
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- PublisherBirkhäuser
- Publication date2012
- ISBN 10 1461266122
- ISBN 13 9781461266129
- BindingPaperback
- LanguageEnglish
- Number of pages526
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book presents numerical methods and computational aspects for linear integral equations. Such equations occur in various areas of applied mathematics, physics, and engineering. The material covered in this book, though not exhaustive, offers useful techniques for solving a variety of problems. Historical information cover ing the nineteenth and twentieth centuries is available in fragments in Kantorovich and Krylov (1958), Anselone (1964), Mikhlin (1967), Lonseth (1977), Atkinson (1976), Baker (1978), Kondo (1991), and Brunner (1997). Integral equations are encountered in a variety of applications in many fields including continuum mechanics, potential theory, geophysics, electricity and mag netism, kinetic theory of gases, hereditary phenomena in physics and biology, renewal theory, quantum mechanics, radiation, optimization, optimal control sys tems, communication theory, mathematical economics, population genetics, queue ing theory, and medicine. Most of the boundary value problems involving differ ential equations can be converted into problems in integral equations, but there are certain problems which can be formulated only in terms of integral equations. A computational approach to the solution of integral equations is, therefore, an essential branch of scientific inquiry. 532 pp. Englisch. Seller Inventory # 9781461266129
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book presents numerical methods and computational aspects for linear integral equations. Such equations occur in various areas of applied mathematics, physics, and engineering. The material covered in this book, though not exhaustive, offers useful techniques for solving a variety of problems. Historical information cover ing the nineteenth and twentieth centuries is available in fragments in Kantorovich and Krylov (1958), Anselone (1964), Mikhlin (1967), Lonseth (1977), Atkinson (1976), Baker (1978), Kondo (1991), and Brunner (1997). Integral equations are encountered in a variety of applications in many fields including continuum mechanics, potential theory, geophysics, electricity and mag netism, kinetic theory of gases, hereditary phenomena in physics and biology, renewal theory, quantum mechanics, radiation, optimization, optimal control sys tems, communication theory, mathematical economics, population genetics, queue ing theory, and medicine. Most of the boundary value problems involving differ ential equations can be converted into problems in integral equations, but there are certain problems which can be formulated only in terms of integral equations. A computational approach to the solution of integral equations is, therefore, an essential branch of scientific inquiry. Seller Inventory # 9781461266129
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