Overview

This unique volume presents reviews of research in several important areas of applications of mathematical concepts to science and technology, for example applications of inverse problems and wavelets to real world systems. The book provides a comprehensive overview of current research of several outstanding scholars engaged in diverse fields such as complexity theory, vertex coupling in quantum graphs, mixing of substances by turbulence, network dynamics and architecture, processes with rate independent hysteresis, numerical analysis of Hamilton Jacobi Bellman equations, simulations of complex stochastic differential equations, optimal flow control, shape optimal flow control, shape optimization and aircraft designing, mathematics of brain, nanotechnology and DNA structure and mathematical models of environmental problems. The volume also contains contributory talks based on current researches of comparatively young researchers participating in the conference.Contents: Part A Invited Talk: In Appreciation of Dr Zakir Husain Award (M Zuhair Nashed) Kinematical Conservation Laws (KCL): Equations of Evolution of Curves and Surfaces (K R Arun and P Prasad) Systematic Discretization of Input/Output Maps and Control of Partial Differential Equations (J Heiland, V Mehrmann and M Schmidt) Vertex Couplings in Quantum Graphs: Approximations by Scaled Schrodinger Operators (P Exner) Complexity Leads to Randomness in Chaotic Systems (R Lozi) Mathematical Modeling for Unifying Different Branches of Science, Engineering and Technology (N Rudraiah) On Equivalence Transformations and Exact Solutions of a Helmholtz Type Equation (O P Bhutani and L R Chowdhury) Cognitive Radio: State-of-the-Art and Mathematical Challenges (T Nadkar, V Thumar, A Patel, Md Z Ali Khan, U B Desai and S N Merchant) Part B Thematic Reviews: Inverse Problems of Parameter Identification in Partial Differential Equations (B Jadamba, A A Khan and M Sama) Finite Element Methods for HJB Equations (M Boulbrachene) Dynamics and Control of Underactuated Space Systems (K D Kumar and Godard) Some New Classes of Inverse Coefficient Problems in Engineering Mechanics and Computational Material Science Based on Boundary Measured Data (A Hasanov) Some Recent Developments on Mathematical Aspect of Wavelets (P Manchanda and Meenakshi) Relevance of Wavelets and Inverse Problems to Brain (A H Siddiqi, H K Sevindir, Z Aslan and C Yazici) Wavelets and Inverse Problems (K Goyal and M Mehra) Optimization Models for a Class of Structured Stochastic Games (S K Neogy, S Sinha, A K Das and A Gupta) Part C Contributory Talks: Predator-Prey Relations for Mammals where Prey Suppress Breeding (Q J Khan and M Al-Lawatia) SEI Model with Varying Transmission and Mortality Rates (G Rost) Trajectories and Stability Regions of the Lagrangian Points in the Generalized Chermnykh-Like Problem (B S Kushvah) MHD Flow Past an Infinite Plate Under the Effect of Gravity Modulation (S Wasu and S C Rajvanshi) Readership: Researchers in mathematical modeling, numerical analysis and computational mathematics.

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