Mangey Ram - Recent Advances in Mathematics for Engineering

Recent Advances in Mathematics for
Engineering

Series Editor:

Mangey Ram

Professor, Department of Mathematics, Computer Science and Engineering, Graphic Era Deemed to be University, Dehradun, India

The aim of this new book series is to publish the research studies and articles that bring up the latest development and research applied to mathematics and its applications in the manufacturing and management sciences areas. Mathematical tool and techniques are the strength of engineering sciences. They form the common foundation of all novel disciplines as engineering evolves and develops. The series will include a comprehensive range of applied mathematics and its application in engineering areas, such as optimization techniques, mathematical modeling and simulation, stochastic processes and systems engineering, safety-critical system performance, system safety, system security, high assurance software architecture and design, mathematical modeling in environmental safety sciences, finite element methods, differential equations, and reliability engineering.

Sustainable Procurement in Supply Chain Operations

Edited by Sachin Mangla, Sunil Luthra, Suresh Jakar, Anil Kumar, and Nirpendra Rana

Mathematics Applied to Engineering and Management

Edited by Mangey Ram and S.B. Singh

Mathematics in Engineering Sciences

Novel Theories, Technologies, and Applications
Edited by Mangey Ram

Advances in Management Research

Innovation and Technology

Edited by Avinash K. Shrivastava, Sudhir Rana, Amiya Kumar Mohapatra, and Mangey Ram

Market Assessment with OR Applications

Adarsh Anand, Deepti Aggrawal, and Mohini Agarwal

Recent Advances in Mathematics for Engineering

Edited by Mangey Ram

For more information about this series, please visit:

https://www.crcpress.com/Mathematical-Engineering-Manufacturing-and-Manage ment-Sciences/book-series/CRCMEMMS

Edited by

Mangey Ram

MATLAB is a trademark of The MathWorks, Inc. and is used with permission. The MathWorks does not warrant the accuracy of the text or exercises in this book. This books use or discussion of MATLAB software or related products does not constitute endorsement or sponsorship by The MathWorks of a particular pedagogical approach or particular use of the MATLAB software

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International Standard Book Number-13: 978-0-367-19086-6 (Hardback)

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Library of Congress Cataloging-in-Publication Data

Names: Ram, Mangey, editor.

Title: Recent advances in mathematics for engineering / edited by Mangey Ram. Description: Boca Raton, FL : CRC Press, Taylor & Francis Group, [2020] | Series: Mathematical engineering, manufacturing, and management sciences | Includes bibliographical references and index.

Identifiers: LCCN 2019051106 (print) | LCCN 2019051107 (ebook) | ISBN 9780367190866 (hardback : acid-free paper) | ISBN 9780429200304 (ebook) Subjects: LCSH: Engineering mathematics.

Classification: LCC TA330 .R38 2020 (print) | LCC TA330 (ebook) | DDC 620.001/51dc23

LC record available at https://lccn.loc.gov/2019051106

LC ebook record available at https://lccn.loc.gov/2019051107

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In recent years, mathematics has had an amazing growth in engineering sciences. Everything would be possible with the addition of mathematics to the engineering. Recent Advances in Mathematics for Engineering engrosses on a comprehensive range of mathematics applied in various fields of engineering. The topics covered are organized as follows.

summarizes the current position of surveillance methods in public health and focuses on the inferential part of the surveillance problem including statistical techniques and stochastic modeling for evaluating surveillance systems engineering. Statistical change-point analysis-based methods have several appealing properties compared to the current practice.

reviews the methods for assessment of earthquake hazards based on statistical models, probability theory, and nonlinear analysis. Also, the steps involved in the assessment of seismic hazard, ground response analysis, and calculation of liquefaction potential have been discussed.

discusses the use of satellite data in multi-model approach. The main idea is to use the inter-connected models of environment and disaster-forming advances to select the control variables and indicators for satellite observations.

gives a review of some integral transforms, ParsevalGoldstein-type relationships and its applications to integral transforms, and some well-known differential equations. Laplace transform has been used to generalize Stieltjes transform.

provides the numerical solution of two kinds of singular integral equations. This chapter proposes the numerical methods to find the approximate solution of Cauchy singular integral equations and hypersingular integral equations.

discusses an iterative scheme known as generalized minimal residual method (GMRES) to solve linear partial differential equations. This scheme has been used here to solve a transient 2D heat equation with Dirichlet boundary conditions.