4 Result(s)

Numerical solutions of variable exponent differential equations

Student will be creating numerical solutions of certain differential equations that generalize the classical models of a body falling under the influence of gravity and experiencing air resistance. The goal of these models is to help identify which kinds of differential equations have bounded solutions: for instance, do the solutions approach a constant value (e.g. a terminal velocity) as time increases?...

Required Availability
Fall 2017 | Spring 2018
Course Credit?
No
Paid Position?
No
Preferred Majors
Applied Mathematics | Mathematics

Analysis of a Disrupted Production-Inventory System

The globalization of supply chain networks has significantly increased the risk that a disruption or delay anywhere in the network can result in immediate business costs, lost revenue, and heavily congested logistics systems. Moreover, the current global financial crisis underscores the significance of financial dependencies that exist between nations. Distress in one economy can have a devastating ripple effect on the economies of many others. For these reasons, it is vital for manufacturing and service organizations to establish and execute well-planned and well-managed supply chain strategies that are responsive to disruptions that may be local or global. Such strategies can substantially improve an organization’s likelihood of endurin...

Required Availability
Fall 2016 | Spring 2017
Course Credit?
No
Paid Position?
Yes - Depends.

Optimization in big data: algorithms and applications

This is a research position with Dr Yangyang Xu in optimization and its applications. The data in modern applications is becoming extremely big. The data size grows significantly faster than the computer development speed. That means running classic methods on modern computers cannot handle modern problems with huge-scale data. Therefore, more advanced algorithms are required. The students will be advised to read recent papers, implement existing and/or new optimization algorithms, and also do applications in statistical and machine learning, image processing, and finance. If you are interested, please contact with Yangyang Xu at yangyang.xu@ua.edu. A CV and transcript are required....

Required Availability
Fall 2016 | Spring 2017
Course Credit?
No
Paid Position?
No

Semi-analytic models of flow in large-scale fractures with corrugated walls immersed in the porous medium

In this project the full set of Navier Stokes equations in a long fracture with wavy walls will be solved asymptotically. The fracture's walls are wavy and fluid passes through them and enters into the fracture. The fracture geometry will be mapped to a cylindrical geometry and the flow equations will be solve in this new system. The objective is to determine the effective permeability of the fracture. ...

Required Availability
Spring 2018
Course Credit?
Yes - Math 499
Paid Position?
No