Yekaterina Epshteyn

Associate Professor at the Department of Mathematics
The University of Utah


Numerical Analysis, Scientific Computing, Applied Mathematics
 



CV pdf

Brief Version of the Research Statement pdf

About Our New DMREF Project link

Service Statement (Brief Version) pdf

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-Summer 2021), REU project "Numerical Algorithms for Automated Dynamic Grain Boundary Network Identification"
  • Current PhD Graduate Students:
  • Current Postdoctoral Mentee:
  • Alumni:
      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"
      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
      Elias Clark (Graduate Student, Fall 2018 - Spring 2021, co-advised with L. Horvath)
      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, Fall 2021, html

    MAC Website html

    Affiliated Faculty Member, Center for Quantitative Biology, html

    Current Teaching:

    • Fall 2021, Math 6610: Analysis of Numerical Methods I, Canvas link
    • 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 Mathematics
    The University of Utah
    Salt Lake City, UT 84112
    e-mail: epshteyn@math.utah.edu
    phone: (801) 585 - 1644