Yekaterina Epshteyn

Assistant Professor at the Department of Mathematics
The University of Utah


Numerical Analysis, Scientific Computing, Applied Mathematics  

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CV pdf

Brief Version of the Research Statement pdf

Applied Math Seminar, Fall 2012 html

Biofluids and Gels Group Meeting, Spring 2012 html

Biofluids and Gels Group, Mathematics Department html

Research Interests:  

• Numerical Analysis, Scientific Computing, Applied Mathematics
• Finite Element Method: Continuous Galerkin (CG), Discontinuous Galerkin (DG)
• Central-Upwind Finite Volume Schemes
• Finite Difference Method, Difference Potentials Method
• Computational Fluid Dynamics
• Flow in Porous Media, Multiphase Flow
• Shallow Water Models
• Biomedical Applications
• Material Science Applications
• Optical tomography inverse problems

Gallery:

Some of the results that we obtained for two-phase flow simulation:
Below 2D view of saturation contour (left) and 3D view of pressure contour (right) at 350 days.
This is an example of heterogeneous benchmark problem (the permeability coefficient is discontinuous).
(Click on saturation picture to see the movie.)

Publications

• Spring 2013, Math 6630 : Numerical Solutions of Partial Differential Equations
• Fall 2012, Math 5750 - Math 6880 : Optimization
• Spring 2012, Math 6620 : Analysis of Numerical Methods II
• Spring 2012, Math 6790 : Case Studies in Computational Engineering and Science: Mathematics and Materials
• Fall 2011, Math 6610 : Analysis of Numerical Methods I
• Spring 2011, Math 6620 :Analysis of Numerical Methods II
• Fall 2010, Math 6610 : Analysis of Numerical Methods I

Previous Teaching:

Carnegie Mellon University:
• Spring 2010, Math 21-761: Numerical Methods for PDE: Finite Difference and Finite Volume Methods (graduate course)
• Fall 2009, Math 21-369: Numerical Methods (undergraduate course)
• Spring 2009, Math 21-369: Numerical Methods (undergraduate course)
• Fall 2008, Math 211-21: Integration and Differential Equations
• Spring 2008, Math 211-21:Integration and Differential Equations
• Fall 2007, Math 21-111:Calculus for Humanities Students I
University of Pittsburgh:
• Teaching Assistant: Matrices and Linear Operators (Spring 2007)
• Grader: Finite Element Method (Spring 2007)
• Instructor: Calculus 1 (Summer 2005)
• Teaching Assistant: Calculus 1, 2 (Spring 2004, 2005-2006)

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Contact Information

Department of Mathematics
The University of Utah
Salt Lake City, UT 84112
e-mail: epshteyn@math.utah.edu
phone: (801) 585 - 1644

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Last Modified: January, 2013