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


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