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:
      Gabrielle Legaspi (Summer 2017): Introduction to Research
      Alex Henabray (Fall 2014): Project "Numerical Methods for Interface Problems"
      Camille Humphries (May 2013 - May 2014): Project "Central-Upwind Schemes for Shallow Water Models"
  • Current PhD Graduate Students:
  • Alumni:
      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)
      Patrick Bardsley (Ph.D. student Fall 2011 - Spring 2016), First Job After Ph.D: Postdoctoral Fellow at the Department of Mathematics and ICES 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: Kyle successfully defended his Ph.D in April 2018 and will be starting postdoc position at UT Austin ICES in Fall 2018
      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)
      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 2018, html

    MAC Website html

    Affiliated Faculty Member, Center for Quantitative Biology, html

    Current Teaching:


    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, 2018