Industrial Mathematics and Complex Systems Emerging Mathematical Models, Methods and Algorithms

The book discusses essential topics in industrial and applied mathematics such as image processing with a special focus on medical imaging, biometrics and tomography. Applications of mathematical concepts to areas like national security, homeland security and law enforcement, enterprise and e-government services, personal information and business transactions, and brain-like computers are also highlighted.

These contributions – all prepared by respected academicians, scientists and researchers from across the globe – are based on papers presented at the international conference organized on the occasion of the Silver Jubilee of the Indian Society of Industrial and Applied Mathematics (ISIAM) held from 29 to 31 January 2016 at Sharda University, Greater Noida, India. The book will help young scientists and engineers grasp systematic developments in those areas of mathematics that are essential to properly understand challenging contemporary problems.

Chapter 1: Linear and Nonlinear Waves in Gas Dynamics.- Chapter 2: Nonlinear ?ows and optimality for functional inequalities: an Extended Abstract.- Chapter 3: What is a Frame? Theory and Applications of Frames.- Chapter 4: The challenging problem of industrial applications of multicore-generated iterates of nonlinear mappings.- Chapter 5: Challenges in optimal control problems for gas and ?uid ?ow in networks of pipes and canals: From modeling to industrial applications.- Chapter 6: Imaging In Acute Ischemic Stroke and Stroke Outcome Prediction.- Chapter 7: Fourier transforms of multiplicative Convolutions.- Chapter 8: Tight Wavelet Frames with Matric Dilations.- Chapter 9: First-Order and Second-Order Adjoint Methods for the Inverse Problem of Identifying Nonlinear Parameters in PDEs.- Chapter 10: The Solution of the Hierarchy of Quantum Kinetic Equations with Delta Potential.- Chapter 11: 1-D Wavelet and Partial Correlation Application for MS Subgroup Classi?cation.- Chapter 12: Numerical methods for non-linear system of hyperbolic equations arising in oil reservoir simulation.- Chapter 13: Construction and Properties of Haar-Vilenkin Wavelets.- Chapter 14: Footprint-based personal recognition using Dactyloscopy Technique.- Chapter 15: An iterative algorithm for a common solution of a split variational inclusion problem and ?xed point problem for non-expansive semigroup mappings.- Chapter 16: The Impact of Vaccination to Control Human Papilloma Virus Dynamics.- Chapter 17: Novel Solution of Nonlinear Equations using Genetic Algorithm.- Chapter 18: An M/M/c/N Feedback Queuing Model with Reverse Balking and Reneging.- Chapter 19: Solution of fuzzy heat equation under fuzzi?ed thermal diffusivity.- Chapter 20: Chaos in Nano?uidic Convection of CuO nano?uid.- Chapter 21: Study Of The Seasonal Variability Of Plankton And Forage Fish In Chilika Lagoon Using Npzf Model: A Case Study.- Chapter 22: Effect of Glycerol Kinetics and Mass Transfer during Enzymatic Biodiesel Production from Jatropha Oil.- Chapter 23: Role of Bio-pest control on Theta logistic populations: A case study on Jatropha curcus cultivation system.- Chapter 24: Dynamics Of Sirs Model With Single Time Delay.- Resume of Some Invited and Contributed talks.

PAMMY MANCHANDA is a senior professor of Mathematics at the Guru Nanak Dev University, Amritsar, India. She has published 44 research papers in several international journals of repute, edited 2 proceedings volumes for international conferences of the Indian Society of Industrial and Applied Mathematics (ISIAM) and co-authored 3 books. She has attended, delivered talks and chaired sessions at reputed academic conferences and workshops across the world, including ICIAM (1999–2015) and the International Congress of Mathematicians (ICM) since 2002. She is the managing editor of the Indian Journal of Industrial and Applied Mathematics and a member of the editorial board of the Springer book series Industrial and Applied Mathematics.

RENÉ LOZI is a professor at the University of Nice, Dieudonné Center of Mathematics, France. In 1991, he became a full professor at the University of Nice and the Institute for Teacher Trainees (IUFM), France. Earlier, he served as the director of this institute (2001–2006) and as the vice-chairman of the French Board of Directors of the IUFM (2004–2006). He received his French State Thesis (on chaotic dynamical systems) under the supervision of Prof. René Thom (a Fields Medalist) in 1983. He currently serves on the editorial board of several international journals of repute. In 1977, he discovered a particular mapping of the plane having a strange attractor (now classically known as “Lozi map”). Today, his research areas include complexity and emergence theory, dynamical systems, bifurcation, control of chaos, cryptography-based chaos, and recently memristor (a physical device for neuro-computing).

ABUL HASAN SIDDIQI is a professor emeritus at the School of Basic Sciences and Research at Sharda University, Greater Noida, India. He is also the elected president of the Indian Society of Industrial and Applied Mathematics (ISIAM). He has jointly published more than 100 research papers and 5 books with his research collaborators, 5 and edited the proceedings of 9 international conferences. He is founder secretary of the Indian Society of Industrial and Applied Mathematics (ISIAM), which celebrated its Silver Jubilee in January 2016. He is editor-in-chief of the Indian Journal of Industrial and Applied Mathematics, published by ISIAM and Industrial and Applied Mathematics, a book series with Springer.