Mathematical Models and Methods for Real World Systems

ISBN-13: 9780849337437 / Angielski / Twarda / 2005 / 472 str.

K. M. Furati; Zuhair Nashed; Abul Hassan Siddiqi

Opis

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(r) 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.

Spis treści

MATHEMATICS FOR TECHNOLOGY
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

O autorze

K.M. Furati, Abul Hasan Siddiqi