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

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:
      Camille Humphries (Spring 2019), REU project; (May 2013 - May 2014): REU project "Central-Upwind Schemes for Shallow Water Models"
  • Current PhD Graduate Students:
  • Alumni:
      Charlotte Blake (REU student, Fall 2018 - Spring 2019): Project "Numerical Algorithms with Application to Data Processing in Materials Science (Polycrystalline Materials)"
      Charlotte will be starting 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 will be starting 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
      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)
      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 2019, html

    MAC Website html

    Affiliated Faculty Member, Center for Quantitative Biology, html

    Current Teaching:

    • Fall 2019, Math 5440-6850: Introduction to Partial Differential Equations, Canvas link
    • Fall 2019, Math 2210-4: 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


    Last Modified: August, 2019