Advanced Mathematical Tools: A Frontier Between Mathematics and Engineering
Advanced mathematics provides new approaches to solving many current and future engineering problems. Developing and applying new computational tools and algorithms achieve advances in engineering research. The purpose of this symposium is to facilitate interaction among engineering researchers, scientists, and applied mathematicians in order to find, on one hand, new applications for some advanced mathematical methods, and, on the other, to find better and more promising mathematical tools for today's challenging engineering problems. The organizers invite engineers, scientists and mathematicians to share and present their ideas and most recent advances, both theoretical and applied, in mathematics and engineering mechanics in one or more of the following areas:
-New mathematical tools and algorithms based on but not limited to geometric Clifford algebras, algebraic geometry, etc. in elasticity of solids, plasticity, composite materials and shell structures
-Algebraic geometry methods including but not limited to Groebner bases in solving engineering problems
-Computational mechanics, inverse kinematics and dynamics, robotics
-Efficient computation of 3D-rotations using quaternions
-Computer graphics and visualization, especially medical imaging
-Contemporary issues in biomechanics
-Curves and surfaces design
-Interpolation and smoothing
-NURBS and their applications
-Computer vision, processor design, image processing, quantum information theory, control-pose estimation, control and visual navigation
-Other topics related to engineering mechanics.
This will be a continuation of our two symposia from SES 2006 and SES 2007.
Organizers
-
Jane Liu
Tennessee Technological University
931-372-3256
jliu@tntech.edu -
Rafal Ablamowicz
Tennessee Technological University
931-372-3622
rablamowicz@tntech.edu
Schedule
Tuesday 3
Room | Time | Talk |
---|---|---|
Loyalty Room | 2:00 PM |
Application of Brownian Motions in Modeling the Damage Density Evolution in Engineering Materials Rezwanur Rahman, Anwarul Haque, Zhijian Wu |
Loyalty Room | 2:20 PM |
Better Living through Simulation: Computer-Aided Tissue Scaffold Design Ileana Carpen |
Loyalty Room | 2:40 PM |
Practical Finite Temperature Continuum Modeling With Applications to Film Evolution Lawrence Friedman |
Loyalty Room | 3:00 PM |
Temperature-Related Cauchy-Born Rule for Nanoscale Continuum Simulations Maciej Rysz, Shaoping Xiao |
Loyalty Room | 3:20 PM |
A Computational Series Solution for Unsteady Stagnation Point Flow of a Viscoelastic Fluid Amir Alizadeh Pahlavan, Kayvan Sadeghy |
Tuesday 4
Room | Time | Talk |
---|---|---|
Loyalty Room | 4:00 PM |
Application of Algebraic Geometry to Vibration Control of Geometrically Nonlinear Hygrothermal-elastic Composite Plates Jane Liu, George Buchanan |
Loyalty Room | 4:20 PM |
Solving Non-Linear Systems of Polynomial Equations Troy Brachey |
Loyalty Room | 4:40 PM |
Solving Systems of Polynomial Equations with Groebner Bases: Examples and Applications Rafal Ablamowicz, Jane Liu |
Loyalty Room | 5:00 PM |
Using Maple Computer Algebra System in Teaching Mechanics Courses Jane Liu, Rafal Ablamowicz |
Wednesday 1
Room | Time | Talk |
---|---|---|
Loyalty Room | 8:00 AM |
Analysis of Photo-stimulated Luminescence Spectra using Genetic Algorithms for Stress Measurements in Chromium-doped Alumina Seetha Raghavan, P.k. Imbrie, William A. Crossley |
Loyalty Room | 8:20 AM |
Introducing the implementation of Kruskal-Wallis NonParametric OneWay ANOVA as a Statistical Tool in Image Analysis Soumit Salman Rahman, Joydip Saha |