1st Edition
Mathematical Models and Methods for Real World Systems
Mathematics does not exist in isolation but is linked inextricably to the physical world. At the 2003 International Congress of Industrial and Applied Mathematics, leading mathematicians from around the globe gathered for a symposium on the "Mathematics of Real World Problems," which focused on furthering the establishment and dissemination of those links.
Presented in four parts, Mathematical Models and Methods for Real World Systems comprises chapters by those invited to this symposium. The first part examines mathematics for technology, exploring future challenges of mathematical technology, offering a wide-ranging definition of industrial mathematics, and explaining the mathematics of type-II superconductors. After lucid discussions on theoretical and applied aspects of wavelets, the book presents classical and fractal methods for physical problems, including a fractal approach to porous media textures and using MATLAB® to model chaos in the motion of a satellite. The final section surveys recent trends in variational methods, focusing on areas such as elliptic inverse problems, sweeping processes, and the BBKY hierarchy of quantum kinetic equations.
By virtue of its abstraction, mathematics allows the transfer of ideas between fields of applications. Mathematical Models and Methods for Real World Systems clearly demonstrates this and promotes the kind of cross-thinking that nurtures creativity and leads to further innovation.
Mathematics as a Technology-Challenges for the Next Ten Years
H. Neunzert
Industrial Mathematics-What Is It?
N.G. Barton
Mathematical Models and Algorithms for Type-II Superconductors
K.M. Furati and A.H. Siddiqi
WAVELET METHODS FOR REAL-WORLD PROBLEMS
Wavelet Frames and Multiresolution Analysis
O. Christensen
Comparison of a Wavelet-Galerkin Procedure with a Crank-Nicolson-Galerkin Procedure for the Diffusion Equation Subject to the Specification of Mass
S.H. Behiry, J.R. Cannon, H. Hashish, and A.I. Zayed
Trends in Wavelet Applications
K.M. Furati, P. Manchanda, M.K. Ahmad, and A.H. Siddiqi
Wavelet Methods for Indian Rainfall Data
J. Kumar, P. Manchanda, and N.A. Sontakke
Wavelet Analysis of Tropospheric and Lower Stratospheric Gravity Waves
O. O?guz, Z. Can, Z. Aslan, and A.H. Siddiqi
Advanced Data Processes of Some Meteorological Parameters
A. Tokgozlu and Z. Aslan
Wavelet Methods for Seismic Data Analysis and Processing
F.M. Kh`ene
CLASSICAL AND FRACTAL METHODS FOR PHYSICAL PROBLEMS
Gradient Catastrophe in Heat Propagation with Second Sound
S.A. Messaoudi and A.S. Al Shehri
Acoustic Waves in a Perturbed Layered Ocean
F.D. Zaman and A.M. Al-Marzoug
Non-Linear Planar Oscillation of a Satellite Leading to Chaos under the Influence of Third-Body Torque
R. Bhardwaj and R. Tuli
Chaos Using MATLAB in the Motion of a Satellite under the Influence of Magnetic Torque
R. Bhardwaj and P. Kaur
A New Analysis Approach to Porous Media Texture-Mathematical Tools for Signal Analysis in a Context of Increasing Complexity
F. Nekka and J. Li
TRENDS IN VARIATIONAL METHODS
A Convex Objective Functional for Elliptic Inverse Problems
M.S. Gockenbach and A.A. Khan
The Solutions of BBGKY Hierarchy of Quantum Kinetic Equations for Dense Systems
M. Yu. Rasulova, A.H. Siddiqi, U. Avazov, and M. Rahmatullaev
Convergence and the Optimal Choice of the Relation Parameter for a Class of Iterative Methods
M.A. El-Gebeily and M.B.M. Elgindi
On a Special Class of Sweeping Process
M. Brokate and P. Manchanda
Biography
K.M. Furati, Abul Hasan Siddiqi
