Chakraverty, Snehashish.
Affine Arithmetic Based Solution of Uncertain Static and Dynamic Problems [electronic resource] / by Snehashish Chakraverty, Saudamini Rout. - 1st ed. 2020. - XVII, 152 p. online resource. - Synthesis Lectures on Mathematics & Statistics, 1938-1751 . - Synthesis Lectures on Mathematics & Statistics, .
Preface -- Acknowledgments -- Introduction -- Preliminaries -- Affine Arithmetic -- Fuzzy-Affine Arithmetic -- Uncertain Static Problems -- Uncertain Linear Dynamic Problems -- Uncertain Nonlinear Dynamic Problems -- Authors' Biographies.
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 showthe reliability and efficacy of the developed approaches.
9783031024245
10.1007/978-3-031-02424-5 doi
Mathematics.
Statistics .
Engineering mathematics.
Mathematics.
Statistics.
Engineering Mathematics.
QA1-939
510
Affine Arithmetic Based Solution of Uncertain Static and Dynamic Problems [electronic resource] / by Snehashish Chakraverty, Saudamini Rout. - 1st ed. 2020. - XVII, 152 p. online resource. - Synthesis Lectures on Mathematics & Statistics, 1938-1751 . - Synthesis Lectures on Mathematics & Statistics, .
Preface -- Acknowledgments -- Introduction -- Preliminaries -- Affine Arithmetic -- Fuzzy-Affine Arithmetic -- Uncertain Static Problems -- Uncertain Linear Dynamic Problems -- Uncertain Nonlinear Dynamic Problems -- Authors' Biographies.
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 showthe reliability and efficacy of the developed approaches.
9783031024245
10.1007/978-3-031-02424-5 doi
Mathematics.
Statistics .
Engineering mathematics.
Mathematics.
Statistics.
Engineering Mathematics.
QA1-939
510