Yekaterina Epshteyn

Publication Activity (10 Years)

Years Active: 2006-2023
Publications (10 Years): 17

Top Topics

Numerical Methods

Stochastic Model

Irregular Isothetic Grids

Top Venues

J. Comput. Phys.

Adv. Comput. Math.

J. Sci. Comput.

Publications

Dihan Dai, Yekaterina Epshteyn, Akil Narayan
Energy Stable and Structure-Preserving Schemes for the Stochastic Galerkin Shallow Water Equations. CoRR (2023)
Yekaterina Epshteyn, Chang Liu, Chun Liu, Masashi Mizuno
Nonlinear inhomogeneous Fokker-Planck models: energetic-variational structures and long time behavior. CoRR (2022)
Dihan Dai, Yekaterina Epshteyn, Akil Narayan
Hyperbolicity-preserving and well-balanced stochastic Galerkin method for two-dimensional shallow water equations. J. Comput. Phys. 452 (2022)
Katayun Barmak, Anastasia Dunca, Yekaterina Epshteyn, Chun Liu, Masashi Mizuno
Grain Growth and the Effect of Different Time Scales. CoRR (2021)
Yekaterina Epshteyn, Chun Liu, Masashi Mizuno
Motion of Grain Boundaries with Dynamic Lattice Misorientations and with Triple Junctions Drag. SIAM J. Math. Anal. 53 (3) (2021)
Dihan Dai, Yekaterina Epshteyn, Akil Narayan
Non-Dissipative and Structure-Preserving Emulators via Spherical Optimization. CoRR (2021)
Yekaterina Epshteyn, Chun Liu, Masashi Mizuno
A stochastic model of grain boundary dynamics: A Fokker-Planck perspective. CoRR (2021)
Dihan Dai, Yekaterina Epshteyn, Akil Narayan
Hyperbolicity-Preserving and Well-Balanced Stochastic Galerkin Method for Two-Dimensional Shallow Water Equations. CoRR (2021)
Dihan Dai, Yekaterina Epshteyn, Akil Narayan
Hyperbolicity-Preserving and Well-Balanced Stochastic Galerkin Method for Shallow Water Equations. SIAM J. Sci. Comput. 43 (2) (2021)
Dihan Dai, Yekaterina Epshteyn, Akil Narayan
Hyperbolicity-Preserving and Well-Balanced Stochastic Galerkin Method for Shallow Water Equations. CoRR (2020)
Yekaterina Epshteyn, Thuong Nguyen
Adaptive Central-Upwind Scheme on Triangular Grids for the Saint-Venant System. CoRR (2020)
Yekaterina Epshteyn, Qing Xia
Difference potentials method for models with dynamic boundary conditions and bulk-surface problems. Adv. Comput. Math. 46 (5) (2020)
Yekaterina Epshteyn, Qing Xia
Efficient Numerical Algorithms Based on Difference Potentials for Chemotaxis Systems in 3D. J. Sci. Comput. 80 (1) (2019)
Kyle R. Steffen, Yekaterina Epshteyn, Jingyi Zhu, Megan J. Bowler, Jody W. Deming, Kenneth M. Golden
Network Modeling of Fluid Transport Through Sea Ice with Entrained Exopolymeric Substances. Multiscale Model. Simul. 16 (1) (2018)
Gustav Ludvigsson, Kyle R. Steffen, Simon Sticko, Siyang Wang, Qing Xia, Yekaterina Epshteyn, Gunilla Kreiss
High-Order Numerical Methods for 2D Parabolic Problems in Single and Composite Domains. J. Sci. Comput. 76 (2) (2018)
Xin Liu, Jason Albright, Yekaterina Epshteyn, Alexander Kurganov
Well-balanced positivity preserving central-upwind scheme with a novel wet/dry reconstruction on triangular grids for the Saint-Venant system. J. Comput. Phys. 374 (2018)
Alina Chertock, Yekaterina Epshteyn, Hengrui Hu, Alexander Kurganov
High-order positivity-preserving hybrid finite-volume-finite-difference methods for chemotaxis systems. Adv. Comput. Math. 44 (1) (2018)
Yekaterina Epshteyn
Upwind-Difference Potentials Method for Patlak-Keller-Segel Chemotaxis Model. J. Sci. Comput. 53 (3) (2012)
Yekaterina Epshteyn, T. Khan, Béatrice Rivière
Numerical solution of a one-dimensional inverse problem by the discontinuous Galerkin method. Math. Comput. Simul. 79 (7) (2009)
Yekaterina Epshteyn, Ahmet Izmirlioglu
Fully Discrete Analysis of a Discontinuous Finite Element Method for the Keller-Segel Chemotaxis Model. J. Sci. Comput. 40 (1-3) (2009)
Yekaterina Epshteyn, Alexander Kurganov
New Interior Penalty Discontinuous Galerkin Methods for the Keller-Segel Chemotaxis Model. SIAM J. Numer. Anal. 47 (1) (2008)
Anastasia Dunca, Yekaterina Epshteyn
On the Stolz-Adams Deconvolution Model for the Large-Eddy Simulation of Turbulent Flows. SIAM J. Math. Anal. 37 (6) (2006)