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Affine Arithmetic Based Solution of Uncertain Static and Dynamic Problems [electronic resource] / by Snehashish Chakraverty, Saudamini Rout.

By: Chakraverty, Snehashish [author.].
Contributor(s): Rout, Saudamini [author.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Synthesis Lectures on Mathematics & Statistics: Publisher: Cham : Springer International Publishing : Imprint: Springer, 2020Edition: 1st ed. 2020.Description: XVII, 152 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783031024245.Subject(s): Mathematics | Statistics  | Engineering mathematics | Mathematics | Statistics | Engineering MathematicsAdditional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 510 Online resources: Click here to access online
Contents:
Preface -- Acknowledgments -- Introduction -- Preliminaries -- Affine Arithmetic -- Fuzzy-Affine Arithmetic -- Uncertain Static Problems -- Uncertain Linear Dynamic Problems -- Uncertain Nonlinear Dynamic Problems -- Authors' Biographies.
In: Springer Nature eBookSummary: 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.
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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.

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