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

Format:

Book

Author/Creator:

Chakraverty, Snehashish., Author.

Rout, Saudamini., Author.

Series:

Synthesis Lectures on Mathematics & Statistics, 1938-1751

Language:

English

Subjects (All):

Mathematics.

Statistics.

Engineering mathematics.

Engineering Mathematics.

Local Subjects:

Mathematics.

Statistics.

Engineering Mathematics.

Physical Description:

1 online resource (XVII, 152 p.)

Edition:

1st ed. 2020.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2020.

Summary:

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.

Contents:

Preface

Acknowledgments

Introduction

Preliminaries

Affine Arithmetic

Fuzzy-Affine Arithmetic

Uncertain Static Problems

Uncertain Linear Dynamic Problems

Uncertain Nonlinear Dynamic Problems

Authors' Biographies.

ISBN:

9783031024245

3031024249