Mathematical Methods in Interdisciplinary Sciences

by Chakraverty, Snehashish

• ISBN13: 9781119585503
• ISBN10: 1119585503
• Edition: 1st
• Format: Hardcover
• Copyright: 2020-07-15
• Publisher: Wiley

Summary

Brings mathematics to bear on your real-world, scientific problems

Mathematical Methods in Interdisciplinary Sciences provides a practical and usable framework for bringing a mathematical approach to modelling real-life scientific and technological problems. The collection of chapters Dr. Snehashish Chakraverty has provided describe in detail how to bring mathematics, statistics, and computational methods to the fore to solve even the most stubborn problems involving the intersection of multiple fields of study. Graduate students, postgraduate students, researchers, and professors will all benefit significantly from the author's clear approach to applied mathematics.

The book covers a wide range of interdisciplinary topics in which mathematics can be brought to bear on challenging problems requiring creative solutions. Subjects include:

• Structural static and vibration problems
• Heat conduction and diffusion problems
• Fluid dynamics problems

The book also covers topics as diverse as soft computing and machine intelligence. It concludes with examinations of various fields of application, like infectious diseases, autonomous car and monotone inclusion problems.

Author Biography

PROFESSOR SNEHASHISH CHAKRAVERTY, is working in the Department of Mathematics (Applied Mathematics Group), National Institute of Technology Rourkela, Odisha, India as a Senior (Higher Administrative Grade) Professor. Prior to this he was with CSIR-Central Building Research Institute, Roorkee, India. Prof. Chakraverty received his Ph. D. from University of Roorkee (now IIT Roorkee). There after he did his post-doctoral research at Institute of Sound and Vibration Research (ISVR), University of Southampton, U.K. and at the Faculty of Engineering and Computer Science, Concordia University, Canada. He has authored/co-authored 20 books, published 356 research papers in journals and conferences. Prof. Chakraverty is the Chief Editor of "International Journal of Fuzzy Computation and Modelling" (IJFCM), Inderscience Publisher, Switzerland (http://www.inderscience.com/ijfcm) and Associate Editor of "Computational Methods in Structural Engineering, Frontiers in Built Environment". He has been the President of the Section of Mathematical sciences (including Statistics) of "Indian Science Congress" (2015-2016) and was the Vice President – "Orissa Mathematical Society" (2011-2013). Prof. Chakraverty is recipient of prestigious awards viz. Indian National Science Academy (INSA) nomination under International Collaboration/Bilateral Exchange Program, Platinum Jubilee ISCA Lecture Award (2014), CSIR Young Scientist (1997), BOYSCAST (DST), UCOST Young Scientist (2007, 2008), Golden Jubilee Director's (CBRI) Award (2001), Roorkee University Gold Medals (1987, 1988) etc. His present research area includes Differential Equations (Ordinary, Partial and Fractional), Numerical Analysis and Computational Methods, Structural Dynamics (FGM, Nano) and Fluid Dynamics, Mathematical Modeling and Uncertainty Modeling, Soft Computing and Machine Intelligence (Artificial Neural Network, Fuzzy, Interval and Affine Computations).

Table of Contents

1. Connectionist Learning Models for Application problems involving differential and integral Equations
S Mall, S K Jeswal, S Chakraverty

2. Deep Learning in Population Genetics
Romila Ghosh, Satyakama Paul

3. A Survey of Classification Techniques in Speech Emotion Recognition
Tanmoy Roy, Tshilidzi Marwala, Snehashish Chakraverty

4. Mathematical Methods in Deep Learning
Srinivasa M Upadhyayula, Kannan Venkataramanan

5. Multimodal Data Representation and Processing Based on Algebraic System of Aggregates
Yevgeniya Sulema, Etienne Kerre

6. Non-probabilistic Analysis of Thermal and Chemical Diffusion Problems with Uncertain Bounded Parameters
S Nayak, T.D. Rao, S. Chakraverty

7. Arbitrary Order Differential Equations with fuzzy parameters
T. Allahviranloo, S. Salahshour

8. Fluid dynamic problems in uncertain environment
P. Karunkar, U. Biswal,  S. Chakraverty

9. Fuzzy Rough Set Theory Based Feature Selection: A Review
Tanmoy Som, Shivam Shreevastava, Anoop Kumar Tiwari, Shivani Singh

10. Universal Intervals: Towards A Dependency-Aware Interval Algebra
Hend Dawood, Yasser Dawood

11. Affine-contractor Approach to Handle Nonlinear Dynamical Problems in Uncertain Environment
N. R. Mahato, S. Rout, S. Chakraverty

12. Dynamic behavior of nanobeam using strain gradient model
Subrat Kumar Jena, Rajarama Mohan Jena, S. Chakraverty

13. Structural Static and Vibration Problems
M. Amin Changizi, Ion Stiharu

14. Generalized Differential and Integral Quadrature: Theory and Applications
Francesco Tornabene, Rossana Dimitri

15. Brain activity reconstruction by finding a source parameter in an inverse problem
Amir Hosein Hadian-Rasanan, Jamal Amani Rad

16. Optimal Resource Allocation in Controlling Infectious Diseases
A.C. Mahasinghe, S.S.N. Perera, and K.K.W.H. Erandi

17. Artificial Intelligence and Autonomous Car
M. Ariturk, S. Yavuz, T. Allahviranloo

18. Different Techniques to Solve Monotone Inclusion Problems
T. Som, Pankaj Gautam, Avinash Dixit,D. R. Sahu