Yekaterina Epshteyn

Associate Professor at the Department of Mathematics

The University of Utah

Numerical Analysis, Scientific Computing, Applied Mathematics

CVpdf

Brief Version of the Research Statementpdf

Research Interests:

- Numerical Methods for PDEs, Scientific Computing, Applied Mathematics
- Central-Upwind Finite Volume Schemes
- Difference Potentials Method
- Finite Element Methods
- Mathematical and Computational Modeling of Materials
- Computational Fluid Dynamics
- Shallow Water Models
- Flow in Porous Media, Multiphase Flow
- Biomedical Applications
Publications

REU Undergraduate Students: James Eckstein (Spring 2020 and Spring 2021), REU project

Camille Humphries (Spring 2019-Fall 2019), REU project "Fast Numerical Algorithms for Models with Nonlinear Diffusion"; (May 2013 - May 2014): REU project "Central-Upwind Schemes for Shallow Water Models"

Current PhD Graduate Students: Elias Clark (Fall 2018 - present, co-advised with L. Horvath)

Dihan Dai (Fall 2017 - present, co-advised with A. Narayan)

Thuong Nguyen (Fall 2016 - present)

Alumni: Charlotte Blake (REU student, Fall 2018 - Spring 2019): Project "Numerical Algorithms with Application to Data Processing in Materials Science (Polycrystalline Materials)"

Charlotte started Ph.D program in Mathematics at the University of Illinois at Urbana-Champaign in August 2019

Alex Henabray (REU student, Fall 2014): REU project "Numerical Methods for Interface Problems"

Gabrielle Legaspi (Spring 2019), REU project; (Summer 2017): Introduction to Research

Gabrielle started MSTAT program at the Department of Mathematics at the University of Utah in August 2019

Spencer Phippen (REU student, May 2013 - January 2014): Project "Difference Potentials Method for Interface Problems", Current Position: Software Engineer at Google

Jason Albright (Ph.D. student Fall 2011 - Spring 2016), First Job After Ph.D: Postdoctoral Fellow at the Theoretical Division at Los Alamos National Lab (LANL)

Currently: R&D Staff Scientist 2 at the Theoretical Division at Los Alamos National Lab (LANL)

Group Alumni Jason Albright took part (at around 1:20 in a video) in a video about Los Alamos National Laboratory

Article about Group Alumni Jason Albright article

Patrick Bardsley (Ph.D. student Fall 2011 - Spring 2016; co-mentor: F. Guevara Vasquez), First Job After Ph.D: Postdoctoral Fellow at the Department of Mathematics and Oden Institute for Computational Engineering and Sciences at the University of Texas at Austin

Currently: Machine Learning Engineer at Cirrus Logic

Kyle Steffen (Ph.D. student Fall 2013 - Spring 2018, co-advised with K. Golden),

First Job After Ph.D: Postdoctoral Fellow at UT Austin Oden Institute for Computational Engineering and Sciences (Fall 2018-present)

Qing Xia (Ph.D student Fall 2014 - Spring 2019)

First Job After Ph.D: Postdoctoral Researcher at the Department of Mathematical Sciences at Rensselaer Polytechnic Institute (RPI)

Starting Fall 2021: Dahlquist Research Fellow at KTH Royal Institute of Technology, Stockholm, Sweden

Gustav Ludvigsson (Currently Ph.D. student at Uppsala University under Prof. Gunilla Kreiss. Collaboration on a joint research project in 2016 - 2017, and a visiting Ph.D student in Spring 2017)

Simon Sticko (Ph.D. student at Uppsala University under Prof. Gunilla Kreiss, defended his Ph.D in Spring 2018. Collaboration on a joint research project in 2016 - 2017, and a visiting Ph.D student in Spring 2017)

First Job After Ph.D: Applied Researcher, Fraunhofer-Chalmers Centre for Industrial Mathematics

Siyang Wang (Ph.D. student at Uppsala University under Prof. Gunilla Kreiss, defended his Ph.D in Spring 2017. Collaboration on a joint research project in 2016 - 2017),

First Job After Ph.D: Postdoctoral Fellow at the Department of Mathematics at Chalmers University of Technology

Michael Medvinsky (Postdoc, Fall 2013 - Spring 2015), Current Position: Research Assistant Professor, Department of Mathematics, North Carlina State University

Recent Research Talks to Middle School Students, Spring 2013:

Project Youth - University of Utah (for 6th Graders from local schools), Spring 2013,Slides

The presentation "Fun Adventure in Applied Mathematics or What is Applied Mathematics?" was illustrated by experiments:

Generating waves in a pan with a whole milk And experiments using soap bubbles

Applied Math Seminar, Spring 2021,html

MAC Websitehtml

Affiliated Faculty Member, Center for Quantitative Biology,html

Current Teaching:

- Spring 2021, Math 6620: Analysis of Numerical Methods II, Canvas link
- Fall 2020, Math 5440-6850: Introduction to Partial Differential Equations, Canvas link
- Fall 2020, Math 2210-1: Calculus III, Canvas link

Contact Information

Department of MathematicsThe University of UtahSalt Lake City, UT 84112e-mail: epshteyn@math.utah.eduphone: (801) 585 - 1644