Research in Differential Equations
The research activity in differential equations at CSU includes both ordinary and partial differential equations and embraces numerical/computational as well as theoretical investigations. There is considerable activity in the area of dynamical systems, particularly in the study of instabilities and pattern formation with applications to pattern analysis and neural networks. This activity is leading to increasing collaboration (in the form of joint seminars and cooperative degree programs etc.) with various departments of biological sciences on campus.
Research activity in partial differential equations includes such topics as: new techniques for a posteriori error analysis for finite element solutions of elliptic boundary value problems, computational fluid dynamics, vector algorithms and numerical methods for conservation laws, reconstruction algorithms for electrical impedance tomography (EIT), as well as direct and inverse problems associated with flow in porous media, including modelling of contaminant transport in groundwater. These efforts have led to cooperative links with various engineering departments and with soil physicists in the agronomy department.
The following faculty members have research interests in Differential Equations.
- Gerhard Dangelmayr
- Nonlinear Dynamics, Pattern Analysis
- Paul DuChateau
- Partial Differential Equations, Inverse and Ill posed problems
- Don Estep
- Numerical Analysis, Partial Differential Equations
- John Locker
- Jennifer Mueller
- Electrical Impedance Tomography, Numerical Analysis, Mathematical Biology, Inverse Problems.
- Iuliana Oprea
- Hydrodynamic and Hydromagnetic Stability and Bifurcation, Dynamical Systems, Pattern Formation, Mathematical Modeling
- Jim Thomas
- Fluid Dynamics, Numerical Solution of Partial Differential Equations, Bifurcation
Seminars
The applied mathematics seminar meets on a regular basis, providing talks by
local speakers as well as visitors from off campus on topics relating to the
research interests listed above.
Details and Schedules can be found on the
Seminars page