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Yekaterina Epshteyn
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2020 – today
- 2023
- [i8]Dihan Dai, Yekaterina Epshteyn, Akil Narayan:
Energy Stable and Structure-Preserving Schemes for the Stochastic Galerkin Shallow Water Equations. CoRR abs/2310.06229 (2023) - 2022
- [j14]Dihan Dai
, Yekaterina Epshteyn, Akil Narayan:
Hyperbolicity-preserving and well-balanced stochastic Galerkin method for two-dimensional shallow water equations. J. Comput. Phys. 452: 110901 (2022) - [i7]Yekaterina Epshteyn, Chang Liu, Chun Liu, Masashi Mizuno:
Nonlinear inhomogeneous Fokker-Planck models: energetic-variational structures and long time behavior. CoRR abs/2206.09890 (2022) - 2021
- [j13]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): 3072-3097 (2021) - [j12]Dihan Dai, Yekaterina Epshteyn, Akil Narayan
Hyperbolicity-Preserving and Well-Balanced Stochastic Galerkin Method for Shallow Water Equations. SIAM J. Sci. Comput. 43(2): A929-A952 (2021) - [i6]Dihan Dai, Yekaterina Epshteyn, Akil Narayan:
Hyperbolicity-Preserving and Well-Balanced Stochastic Galerkin Method for Two-Dimensional Shallow Water Equations. CoRR abs/2104.11268 (2021) - [i5]Katayun Barmak, Anastasia Dunca, Yekaterina Epshteyn, Chun Liu, Masashi Mizuno
Grain Growth and the Effect of Different Time Scales. CoRR abs/2105.07255 (2021) - [i4]Yekaterina Epshteyn, Chun Liu, Masashi Mizuno
A stochastic model of grain boundary dynamics: A Fokker-Planck perspective. CoRR abs/2106.14249 (2021) - [i3]Dihan Dai, Yekaterina Epshteyn, Akil Narayan:
Non-Dissipative and Structure-Preserving Emulators via Spherical Optimization. CoRR abs/2108.12053 (2021) - 2020
- [j11]Yekaterina Epshteyn, Qing Xia
Difference potentials method for models with dynamic boundary conditions and bulk-surface problems. Adv. Comput. Math. 46(5): 67 (2020) - [i2]Dihan Dai, Yekaterina Epshteyn, Akil Narayan:
Hyperbolicity-Preserving and Well-Balanced Stochastic Galerkin Method for Shallow Water Equations. CoRR abs/2008.08154 (2020) - [i1]Yekaterina Epshteyn, Thuong Nguyen:
Adaptive Central-Upwind Scheme on Triangular Grids for the Saint-Venant System. CoRR abs/2011.06143 (2020)
2010 – 2019
- 2019
- [j10]Yekaterina Epshteyn, Qing Xia
Efficient Numerical Algorithms Based on Difference Potentials for Chemotaxis Systems in 3D. J. Sci. Comput. 80(1): 26-59 (2019) - 2018
- [j9]Alina Chertock
High-order positivity-preserving hybrid finite-volume-finite-difference methods for chemotaxis systems. Adv. Comput. Math. 44(1): 327-350 (2018) - [j8]Xin Liu
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: 213-236 (2018) - [j7]Gustav Ludvigsson, Kyle R. Steffen
High-Order Numerical Methods for 2D Parabolic Problems in Single and Composite Domains. J. Sci. Comput. 76(2): 812-847 (2018) - [j6]Kyle R. Steffen
Network Modeling of Fluid Transport Through Sea Ice with Entrained Exopolymeric Substances. Multiscale Model. Simul. 16(1): 106-124 (2018) - 2012
- [j5]Yekaterina Epshteyn:
Upwind-Difference Potentials Method for Patlak-Keller-Segel Chemotaxis Model. J. Sci. Comput. 53(3): 689-713 (2012)
2000 – 2009
- 2009
- [j4]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): 211-256 (2009) - [j3]Yekaterina Epshteyn, T. Khan, Beatrice Riviere:
Numerical solution of a one-dimensional inverse problem by the discontinuous Galerkin method. Math. Comput. Simul. 79(7): 1989-2000 (2009) - 2008
- [j2]Yekaterina Epshteyn, Alexander Kurganov
New Interior Penalty Discontinuous Galerkin Methods for the Keller-Segel Chemotaxis Model. SIAM J. Numer. Anal. 47(1): 386-408 (2008) - 2006
- [j1]Anastasia Dunca, Yekaterina Epshteyn:
On the Stolz-Adams Deconvolution Model for the Large-Eddy Simulation of Turbulent Flows. SIAM J. Math. Anal. 37(6): 1890-1902 (2006)
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