Mathematical models and methods for real world systems
著者
書誌事項
Mathematical models and methods for real world systems
（Monographs and textbooks in pure and applied mathematics, 272）
Chapman & Hall/CRC Taylor&Francis, 2006
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
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.
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