Affine Arithmetic Based Solution of Uncertain Static and Dynamic Problems
Seiten
2020
Morgan & Claypool Publishers (Verlag)
978-1-68173-771-3 (ISBN)
Morgan & Claypool Publishers (Verlag)
978-1-68173-771-3 (ISBN)
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Uncertainty is an inseparable component of almost every measurement and occurrence when dealing with real-world problems. Finding solutions to real-life problems in an uncertain environment is a difficult and challenging task. As such, this book addresses the solution of uncertain static and dynamic problems based on affine arithmetic approaches.
Uncertainty is an inseparable component of almost every measurement and occurrence when dealing with real-world problems.
Finding solutions to real-life problems in an uncertain environment is a difficult and challenging task. As such, this book addresses the solution of uncertain static and dynamic problems based on affine arithmetic approaches. Affine arithmetic is one of the recent developments designed to handle such uncertainties in a different manner which may be useful for overcoming the dependency problem and may compute better enclosures of the solutions. Further, uncertain static and dynamic problems turn into interval and/or fuzzy linear/nonlinear systems of equations and eigenvalue problems, respectively. Accordingly, this book includes newly developed efficient methods to handle the said problems based on the affine and interval/fuzzy approach. Various illustrative examples concerning static and dynamic problems of structures have been investigated in order to show the reliability and efficacy of the developed approaches.
Uncertainty is an inseparable component of almost every measurement and occurrence when dealing with real-world problems.
Finding solutions to real-life problems in an uncertain environment is a difficult and challenging task. As such, this book addresses the solution of uncertain static and dynamic problems based on affine arithmetic approaches. Affine arithmetic is one of the recent developments designed to handle such uncertainties in a different manner which may be useful for overcoming the dependency problem and may compute better enclosures of the solutions. Further, uncertain static and dynamic problems turn into interval and/or fuzzy linear/nonlinear systems of equations and eigenvalue problems, respectively. Accordingly, this book includes newly developed efficient methods to handle the said problems based on the affine and interval/fuzzy approach. Various illustrative examples concerning static and dynamic problems of structures have been investigated in order to show the reliability and efficacy of the developed approaches.
National Institute of Technology Rourkela National Institute of Technology Rourkela
Preface
Acknowledgments
Introduction
Preliminaries
Affine Arithmetic
Fuzzy-Affine Arithmetic
Uncertain Static Problems
Uncertain Linear Dynamic Problems
Uncertain Nonlinear Dynamic Problems
Authors' Biographies
| Erscheinungsdatum | 14.04.2020 |
|---|---|
| Reihe/Serie | Synthesis Lectures on Mathematics and Statistics |
| Verlagsort | San Rafael |
| Sprache | englisch |
| Maße | 191 x 235 mm |
| Gewicht | 333 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre | |
| ISBN-10 | 1-68173-771-X / 168173771X |
| ISBN-13 | 978-1-68173-771-3 / 9781681737713 |
| Zustand | Neuware |
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