Mathematics in science and technology : mathematical methods, models and algorithms in science and technology; proceedings of the Satellite Conference of ICM 2010, India Habitat Centre & India Islamic Cultural Centre, New Delhi, India, 14-17 August 2010

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. Cover......Page 1 Title Page......Page 4 Copyright Page......Page 5 Preface......Page 6 Foreword......Page 10 Contents......Page 14 Affiliation of Contributors......Page 18 1. In Appreciation of Dr Zakir Husain Award......Page 21 2. Kinematical Conservation Laws (KCL): Equations ofEvolution of Curves and Surfaces......Page 40 3. Systematic Discretization of Input/Output Maps andControl of Partial Differential Equations......Page 65 4. Vertex Couplings in Quantum Graphs: Approximations byScaled Schreodinger Operators......Page 91 5. Complexity Leads to Randomness in Chaotic Systems......Page 113 6. Mathematical Modeling for Unifying Different Branches of Science, Engineering and Technology......Page 146 7. On Equivalence Transformations and Exact Solutions of a Helmholtz Type Equation......Page 182 8. Cognitive Radio: State-of-the-Art and Mathematical Challenges......Page 202 9. Inverse Problems of Parameter Identification in Partial Differential Equations......Page 248 10. Finite Element Methods for HJB Equations......Page 279 11. Dynamics and Control of Underactuated Space Systems......Page 311 12. Some New Classes of Inverse Coefficient Problems in Engineering Mechanics and Computational Material Science Based on Boundary Measured Data......Page 346 13. Some Recent Developments on Mathematical Aspect of Wavelets......Page 393 14. Relevance of Wavelets and Inverse Problems to Brain......Page 422 15. Wavelets and Inverse Problems......Page 450 16. Optimization Models for a Class of Structured Stochastic Games......Page 468 17. Predator-Prey Relations for Mammals where Prey Suppress Breeding......Page 491 18. SEI Model with Varying Transmission and Mortality Rates......Page 509 19. Trajectories and Stability Regions of the Lagrangian Points in the Generalized Chermnykh-Like Problem......Page 519 20. MHD Flow Past an Infinite Plate Under the Effect of Gravity Modulation......Page 530 List of Invited Speakers and Participants......Page 545 Index......Page 555 1. In appreciation of Dr Zakir Husain award / M. Zuhair Nashed -- 2. Kinematical conservation laws (KCL) : equations of evolution of curves and surfaces / K.R. Arun and P. Prasad -- 3. Systematic discretization of input/output maps and control of partial differential equations / J. Heiland, V. Mehrmann and M. Schmidt -- 4. Vertex couplings in quantum graphs : approximations by scaled Schrodinger operators / P. Exner -- 5. Complexity leads to randomness in chaotic systems / R. Lozi -- 6. Mathematical modeling for unifying different branches of science, engineering and technology / N. Rudraiah -- 7. On equivalence transformations and exact solutions of a Helmholtz type equation / O.P. Bhutani and L.R. Chowdhury -- 8. Cognitive radio : state-of-the-art and mathematical challenges / T. Nadkar [und weitere] -- 9. Inverse problems of parameter identification in partial differential equations / B. Jadamba, A.A. Khan and M. Sama -- 10. Finite element methods for HJB equations / M. Boulbrachene -- 11. Dynamics and control of underactuated space systems / K.D. Kumar and Godard -- 12. Some new classes of inverse coefficient problems in engineering mechanics and computational material science based on boundary measured data / A. Hasanov -- 13. Some recent developments on mathematical aspect of wavelets / P. Manchanda and Meenakshi -- 14. Relevance of wavelets and inverse problems to brain / A.H. Siddiqi [und weitere] -- 15. Wavelets and inverse problems / K. Goyal and M. Mehra -- 16. Optimization models for a class of structured stochastic games / S.K. Neogy [und weitere] -- 17. Predator-prey relations for mammals where prey suppress breeding / Q.J. Khan and M. Al-Lawatia -- 18. SEI model with varying transmission and mortality rates / G. Rost -- 19. Trajectories and stability regions of the Lagrangian points in the generalized Chermnykh-like problem / B.S. Kushvah -- 20. MHD flow past an infinite plate under the effect of gravity modulation / S. Wasu and S.C. Rajvanshi