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.
Author(s): A. H. Siddiqi, R. C. Singh, P. Manchanda
Edition: 1
Publisher: World Scientific Pub Co Inc
Year: 2011
Language: English
Pages: 556
Tags: Математика;Прочие разделы математики;
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
