Mathematical Models and Methods for Real World Systems
ICIAM 2003, Sydney Australia
1st Edition
Published on 19. July 2005
Book
Hardback
474 pages
978-0-8493-3743-7 (ISBN)
Description
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.
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.
More details
Series
Language
English
Place of publication
Bosa Roca
United States
Publishing group
Taylor & Francis Inc
Target group
Professional and scholarly
Professional
Illustrations
121 s/w Abbildungen, 53 s/w Tabellen
53 Tables, black and white; 121 Illustrations, black and white
Dimensions
Height: 229 mm
Width: 152 mm
Weight
758 gr
ISBN-13
978-0-8493-3743-7 (9780849337437)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
K.M. Furati | Abul Hasan Siddiqi
Mathematical Models and Methods for Real World Systems
E-Book
07/2005
CRC Press
€364.99
Available for download
K.M. Furati | Abul Hasan Siddiqi
Mathematical Models and Methods for Real World Systems
E-Book
07/2005
CRC Press
€364.99
Available for download
Persons
K.M. Furati, Abul Hasan Siddiqi
Content
MATHEMATICS FOR TECHNOLOGY: Mathematics as a Technology-Challenges for the Next Ten Years. Industrial Mathematics-What Is It? Mathematical Models and Algorithms for Type-II Superconductors. WAVELET METHODS FOR REAL-WORLD PROBLEMS: Wavelet Frames and Multiresolution Analysis. Comparison of a Wavelet-Galerkin Procedure with a Crank-Nicolson-Galerkin Procedure for the Diffusion Equation Subject to the Specification of Mass. Trends in Wavelet Applications. Wavelet Methods for Indian Rainfall Data. Wavelet Analysis of Tropospheric and Lower Stratospheric Gravity Waves. Advanced Data Processes of Some Meteorological Parameters. Wavelet Methods for Seismic Data Analysis and Processing. CLASSICAL AND FRACTAL METHODS FOR PHYSICAL PROBLEMS: Gradient Catastrophe in Heat Propagation with Second Sound. Acoustic Waves in a Perturbed Layered Ocean. Non-Linear Planar Oscillation of a Satellite Leading to Chaos under the Influence of Third-Body Torque. Chaos Using MATLAB in the Motion of a Satellite under the Influence of Magnetic Torque. A New Analysis Approach to Porous Media Texture- Mathematical Tools for Signal Analysis in a Context of Increasing Complexity. TRENDS IN VARIATIONAL METHODS: A Convex Objective Functional for Elliptic Inverse Problems. The Solutions of BBGKY Hierarchy of Quantum Kinetic Equations for Dense Systems. Convergence and the Optimal Choice of the Relation Parameter for a Class of Iterative Methods. On a Special Class of Sweeping Process.