On the Stolz-Adams Deconvolution Model for the Large-Eddy Simulation of Turbulent Flows. - Anastasia Dunca; Yekaterina Epshteyn (SIAM J. Math. Anal., 2006)

New Interior Penalty Discontinuous Galerkin Methods for the Keller-Segel Chemotaxis Model. - Yekaterina Epshteyn; Alexander Kurganov (SIAM J. Numer. Anal., 2008)

Fully Discrete Analysis of a Discontinuous Finite Element Method for the Keller-Segel Chemotaxis Model. - Yekaterina Epshteyn; Ahmet Izmirlioglu (J. Sci. Comput., 2009)

Numerical solution of a one-dimensional inverse problem by the discontinuous Galerkin method. - Yekaterina Epshteyn; T. Khan; Beatrice Riviere (Math. Comput. Simul., 2009)

Upwind-Difference Potentials Method for Patlak-Keller-Segel Chemotaxis Model. - Yekaterina Epshteyn (J. Sci. Comput., 2012)

High-order positivity-preserving hybrid finite-volume-finite-difference methods for chemotaxis systems. - Alina Chertock; Yekaterina Epshteyn; Hengrui Hu; Alexander Kurganov (Adv. Comput. Math., 2018)

Well-balanced positivity preserving central-upwind scheme with a novel wet/dry reconstruction on triangular grids for the Saint-Venant system. - Xin Liu 029; Jason Albright; Yekaterina Epshteyn; Alexander Kurganov (J. Comput. Phys., 2018)

High-Order Numerical Methods for 2D Parabolic Problems in Single and Composite Domains. - Gustav Ludvigsson; Kyle R. Steffen; Simon Sticko; Siyang Wang 003; Qing Xia 006; Yekaterina Epshteyn; Gunilla Kreiss (J. Sci. Comput., 2018)

Network Modeling of Fluid Transport Through Sea Ice with Entrained Exopolymeric Substances. - Kyle R. Steffen; Yekaterina Epshteyn; Jingyi Zhu; Megan J. Bowler; Jody W. Deming; Kenneth M. Golden (Multiscale Model. Simul., 2018)

Efficient Numerical Algorithms Based on Difference Potentials for Chemotaxis Systems in 3D. - Yekaterina Epshteyn; Qing Xia 006 (J. Sci. Comput., 2019)

Difference potentials method for models with dynamic boundary conditions and bulk-surface problems. - Yekaterina Epshteyn; Qing Xia 006 (Adv. Comput. Math., 2020)

Adaptive Central-Upwind Scheme on Triangular Grids for the Saint-Venant System. - Yekaterina Epshteyn; Thuong Nguyen (CoRR, 2020)

Grain Growth and the Effect of Different Time Scales. - Katayun Barmak; Anastasia Dunca; Yekaterina Epshteyn; Chun Liu; Masashi Mizuno (CoRR, 2021)

A stochastic model of grain boundary dynamics: A Fokker-Planck perspective. - Yekaterina Epshteyn; Chun Liu; Masashi Mizuno (CoRR, 2021)

Non-Dissipative and Structure-Preserving Emulators via Spherical Optimization. - Dihan Dai; Yekaterina Epshteyn; Akil Narayan 001 (CoRR, 2021)

Motion of Grain Boundaries with Dynamic Lattice Misorientations and with Triple Junctions Drag. - Yekaterina Epshteyn; Chun Liu; Masashi Mizuno (SIAM J. Math. Anal., 2021)

Hyperbolicity-Preserving and Well-Balanced Stochastic Galerkin Method for Shallow Water Equations. - Dihan Dai; Yekaterina Epshteyn; Akil Narayan 001 (SIAM J. Sci. Comput., 2021)

Nonlinear inhomogeneous Fokker-Planck models: energetic-variational structures and long time behavior. - Yekaterina Epshteyn; Chang Liu; Chun Liu; Masashi Mizuno (CoRR, 2022)

Hyperbolicity-preserving and well-balanced stochastic Galerkin method for two-dimensional shallow water equations. - Dihan Dai; Yekaterina Epshteyn; Akil Narayan 001 (J. Comput. Phys., 2022)

Energy Stable and Structure-Preserving Schemes for the Stochastic Galerkin Shallow Water Equations. - Dihan Dai; Yekaterina Epshteyn; Akil Narayan 001 (CoRR, 2023)

Energy Stable and Structure-Preserving Algorithms for the Stochastic Galerkin System of 2D Shallow Water Equations. - Yekaterina Epshteyn; Akil Narayan 001; Yinqian Yu (CoRR, 2024)