Discrete and Computational Mathematics de Fengshan Liu

Discrete and Computational Mathematics

Fengshan Liu

Gaston M. N'Guerekata

Drajoljub Pokrajac

Xiquan Shi

Jiguang Sun

Xianggen Xia

The 2006 Applied Mathematics Summer Workshop was held on the campus of Delaware State University on July 31, August 1-2, 2006. It is the third of a series of annual events organised by the Applied Mathematics Research Center of Delaware State University, funded by the Department of Defense. The 2006 Workshop brought together over seventy mathematicians, scientists and graduate students from the United States and abroad. The program includes invited lectures by distinguished speakers and contributed paper sessions. The goal of the workshop is to promote DoD's applied mathematics research interests among the faculty and students from Historically Black Colleges/Universities and Minority Institutions (HBCU/MIs). During the workshop attendees also networked, communicated, and exchanged ideas and information on interdisciplinary applied mathematics research topics. They also discussed the trends and prospects of future.

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Cuprins

Preface; Introduction; A Mathematical Model for Evaluation of Osteoporosis; Asymptotic Model of a Nonlinear Adaptive Visco-elastic Rod; Magnetic Field Determination of Different Shaped Permanent Magnets; Dynamics Of Power Law Optical Solitons Under Randomness; Relating Doubly-Even Error; Correcting Codes, Graphs, and Irreducible Representations of N- Supersymmetry; Developing Properties of Sequence Transforms; Using Statistical Methods to Improve Efficiency and Accuracy of Aerosol Retrievals; Optimising decision threshold using the receiver operating characteristic curves for unexploded ordnance discrimination; Hybrid Prolate Pseudospectral Methods on Chebyshev and Legendre Grids I: A Preview; UXO and landmine detection by Ground Penetrating Radar and character analysis; FDTD Simulation for Ground Penetrating Radar in Dispersive Medium; Gk Blending Corners by Piecewise Algebraic Surfaces of Lowest Degree; An Approximating Subdivision Design with Local Interpolated constraint; Conformal Mapping and Equivalent Electrodes Method Application on Electric Field Determination at Cable Accessories; A New Algorithm on Linear Diophantine Equations; The Parameterisation of Triangular Meshes; Efficient Shape Recognition Method Using Novel Metric For Complex Polygonal Shapes; Surface Deformation Evaluation by Parameterization of 3D Raw Data; Molecular Dinamic Simulationo of Bio- and Paramerization of 3D Raw Data; A New Formula of Singular Value Decompositions with Application in Hermitian Compositions; Scattered Waves Through a Waveguide From a Half-Opened Space; Analyses for Perfect Box Problem Using Algorithm of High Precision Numerical Calculation; Microtonal Analysis and its Application to SAR Imaging; Matrix Structure and a New Integrable Peakon Equation; On Linear Stability Of Steady Needle Crystals; Index.