On energy dissipation theory and numerical stability for time-fractional phase field equations T Tang, H Yu, T Zhou SIAM Journal on Scientific Computing 41 (6), A3757–A3778, 2019 | 134 | 2019 |
Efficient energy stable numerical schemes for a phase field moving contact line model J Shen, X Yang, H Yu Journal of Computational Physics 284, 617-630, 2015 | 119 | 2015 |
Efficient spectral sparse grid methods and applications to high-dimensional elliptic problems J Shen, H Yu SIAM Journal on Scientific Computing 32 (6), 3228-3250, 2010 | 119 | 2010 |
Efficient second order unconditionally stable schemes for a phase field moving contact line model using an invariant energy quadratization approach X Yang, H Yu SIAM Journal on Scientific Computing 40 (3), B889-B914, 2018 | 89 | 2018 |
Better Approximations of High Dimensional Smooth Functions by Deep Neural Networks with Rectified Power Units B Li, S Tang, H Yu Communications in Computational Physics 27 (2), 379--411, 2020 | 88 | 2020 |
Sharp-interface limits of a phase-field model with a generalized Navier slip boundary condition for moving contact lines X Xu, Y Di, H Yu Journal of Fluid Mechanics 849, 805-833, 2018 | 72 | 2018 |
Numerical approximations for a phase-field moving contact line model with variable densities and viscosities H Yu, X Yang Journal of Computational Physics 334, 665-686, 2017 | 69 | 2017 |
ChebNet: Efficient and Stable Constructions of Deep Neural Networks with Rectified Power Units using Chebyshev Approximations S Tang, B Li, H Yu https://arxiv.org/abs/1911.05467, 2019 | 62 | 2019 |
Efficient Spectral Sparse Grid Methods and Applications to High-Dimensional Elliptic Equations II. Unbounded Domains J Shen, H Yu SIAM Journal on Scientific Computing 34 (2), 1141-1164, 2012 | 51 | 2012 |
OnsagerNet: Learning Stable and Interpretable Dynamics using a Generalized Onsager Principle H Yu, X Tian, E Weinan, Q Li Physical Review Fluids 6 (11), 114402, 2021 | 48 | 2021 |
A kinetic-hydrodynamic simulation of microstructure of liquid crystal polymers in plane shear flow H Yu, P Zhang Journal of non-newtonian fluid mechanics 141 (2-3), 116-127, 2007 | 48 | 2007 |
On Efficient Second Order Stabilized Semi-implicit Schemes for the Cahn–Hilliard Phase-Field Equation L Wang, H Yu Journal of Scientific Computing 77 (2), 1185-1209, 2018 | 43 | 2018 |
Approximations by orthonormal mapped Chebyshev functions for higher-dimensional problems in unbounded domains J Shen, LL Wang, H Yu Journal of computational and applied mathematics 265, 264-275, 2014 | 29 | 2014 |
A new spectral element method for pricing European options under the Black–Scholes and Merton jump diffusion models F Chen, J Shen, H Yu Journal of Scientific Computing 52 (3), 499-518, 2012 | 27 | 2012 |
PowerNet: Efficient representations of polynomials and smooth functions by deep neural networks with rectified power units B Li, S Tang, H Yu J. Math. Study 53 (2), 159-191, 2020 | 22 | 2020 |
Convergence Analysis of an Unconditionally Energy Stable Linear Crank-Nicolson Scheme for the Cahn-Hilliard Equation L Wang, H Yu J. Math. Study 51 (1), 89-114, 2018 | 19 | 2018 |
A nonhomogeneous kinetic model of liquid crystal polymers and its thermodynamic closure approximation H Yu, G Ji, P Zhang Communications in Computational Physics 7 (2), 383, 2010 | 17 | 2010 |
A dynamic-solver–consistent minimum action method: With an application to 2D Navier–Stokes equations X Wan, H Yu Journal of Computational Physics 331, 209-226, 2017 | 16 | 2017 |
Model the nonlinear instability of wall-bounded shear flows as a rare event: a study on two-dimensional Poiseuille flow X Wan, H Yu, E Weinan Nonlinearity 28 (5), 1409, 2015 | 15 | 2015 |
On the approximation of the Fokker–Planck equation of the finitely extensible nonlinear elastic dumbbell model I: A new weighted formulation and an optimal spectral-Galerkin … J Shen, H Yu SIAM Journal on Numerical Analysis 50 (3), 1136-1161, 2012 | 13* | 2012 |