Dynamical systems : method and applications : theoretical developments and numerical examples
Demonstrates the application of DSM to solve a broad range of operator equations The dynamical systems method (DSM) is a powerful computational method for solving operator equations. With this book as their guide, readers will master the application of DSM to solve a variety of linear and nonlinear...
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| Main Authors: | , |
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| Format: | eBook Book |
| Language: | English |
| Published: |
Hoboken, N.J
Wiley
2012
John Wiley & Sons, Incorporated Wiley-Blackwell |
| Edition: | 1 |
| Subjects: | |
| ISBN: | 1118024281, 9781118024287, 9781118199619, 1118199618 |
| Online Access: | Get full text |
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| Summary: | Demonstrates the application of DSM to solve a broad range of operator equations The dynamical systems method (DSM) is a powerful computational method for solving operator equations. With this book as their guide, readers will master the application of DSM to solve a variety of linear and nonlinear problems as well as ill-posed and well-posed problems. The authors offer a clear, step-by-step, systematic development of DSM that enables readers to grasp the method's underlying logic and its numerous applications. Dynamical Systems Method and Applications begins with a general introduction and then sets forth the scope of DSM in Part One. Part Two introduces the discrepancy principle, and Part Three offers examples of numerical applications of DSM to solve a broad range of problems in science and engineering. Additional featured topics include: General nonlinear operator equations Operators satisfying a spectral assumption Newton-type methods without inversion of the derivative Numerical problems arising in applications Stable numerical differentiation Stable solution to ill-conditioned linear algebraic systems Throughout the chapters, the authors employ the use of figures and tables to help readers grasp and apply new concepts. Numerical examples offer original theoretical results based on the solution of practical problems involving ill-conditioned linear algebraic systems, and stable differentiation of noisy data. Written by internationally recognized authorities on the topic, Dynamical Systems Method and Applications is an excellent book for courses on numerical analysis, dynamical systems, operator theory, and applied mathematics at the graduate level. The book also serves as a valuable resource for professionals in the fields of mathematics, physics, and engineering. |
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| Bibliography: | Includes bibliographical references (p. 525-535) and index |
| ISBN: | 1118024281 9781118024287 9781118199619 1118199618 |
| DOI: | 10.1002/9781118199619 |