Entropy stable high order discontinuous Galerkin methods for ideal compressible MHD on structured meshes Y Liu, CW Shu, M Zhang Journal of Computational Physics 354, 163-178, 2018 | 64 | 2018 |
An oscillation-free discontinuous Galerkin method for scalar hyperbolic conservation laws J Lu, Y Liu, CW Shu SIAM Journal on Numerical Analysis 59 (3), 1299-1324, 2021 | 43 | 2021 |
An essentially oscillation-free discontinuous Galerkin method for hyperbolic systems Y Liu, J Lu, CW Shu SIAM Journal on Scientific Computing 44 (1), A230-A259, 2022 | 39 | 2022 |
Analysis of optimal superconvergence of an ultraweak-local discontinuous Galerkin method for a time dependent fourth-order equation Y Liu, Q Tao, CW Shu ESAIM: Mathematical Modelling and Numerical Analysis 54 (6), 1797-1820, 2020 | 16 | 2020 |
Optimal error estimates of the semidiscrete discontinuous Galerkin methods for two dimensional hyperbolic equations on Cartesian meshes using Pk elements Y Liu, CW Shu, M Zhang ESAIM: Mathematical Modelling and Numerical Analysis 54 (2), 705-726, 2020 | 16 | 2020 |
An oscillation-free discontinuous Galerkin method for shallow water equations Y Liu, J Lu, Q Tao, Y Xia Journal of Scientific Computing 92 (3), 109, 2022 | 15 | 2022 |
Optimal error estimates of the semidiscrete central discontinuous Galerkin methods for linear hyperbolic equations Y Liu, CW Shu, M Zhang SIAM Journal on Numerical Analysis 56 (1), 520-541, 2018 | 14 | 2018 |
An arbitrarily high order unfitted finite element method for elliptic interface problems with automatic mesh generation Z Chen, Y Liu Journal of Computational Physics 491, 112384, 2023 | 13 | 2023 |
An oscillation-free bound-preserving discontinuous Galerkin method for multi-component chemically reacting flows J Du, Y Liu, Y Yang Journal of Scientific Computing 95 (3), 90, 2023 | 11 | 2023 |
Superconvergence of ultra-weak discontinuous Galerkin methods for the linear Schrödinger equation in one dimension A Chen, Y Cheng, Y Liu, M Zhang Journal of Scientific Computing 82 (1), 22, 2020 | 10 | 2020 |
Superconvergence of energy-conserving discontinuous Galerkin methods for linear hyperbolic equations Y Liu, CW Shu, M Zhang Communications on Applied Mathematics and Computation 1 (1), 101-116, 2019 | 9 | 2019 |
An entropy stable essentially oscillation-free discontinuous Galerkin method for hyperbolic conservation laws Y Liu, J Lu, CW Shu SIAM Journal on Scientific Computing 46 (2), A1132-A1159, 2024 | 5 | 2024 |
Locally divergence-free spectral-DG methods for ideal magnetohydrodynamic equations on cylindrical coordinates Y Liu Communications in Computational Physics 26 (3), 2019 | 5 | 2019 |
Sub-optimal convergence of discontinuous Galerkin methods with central fluxes for even degree polynomial approximations Y Liu, CW Shu, M Zhang arXiv preprint arXiv:2001.03825, 2020 | 4 | 2020 |
Certified offline-free reduced basis (cofrb) methods for stochastic differential equations driven by arbitrary types of noise Y Liu, T Chen, Y Chen, CW Shu Journal of Scientific Computing 81, 1210-1239, 2019 | 2 | 2019 |
An arbitrarily high order unfitted finite element method for elliptic interface problems with automatic mesh generation, Part II. Piecewise-smooth interfaces Z Chen, Y Liu Applied Numerical Mathematics 206, 247-268, 2024 | 1 | 2024 |
An Interior Penalty Discontinuous Galerkin Method for an Interface Model of Flow in Fractured Porous Media Y Liu, Z Xu arXiv preprint arXiv:2405.06874, 2024 | 1 | 2024 |
Central discontinuous Galerkin methods on overlapping meshes for wave equations Y Liu, J Lu, CW Shu, M Zhang ESAIM: Mathematical Modelling and Numerical Analysis 55 (1), 329-356, 2021 | 1 | 2021 |
Central Discontinuous Galerkin Methods for the Generalized Korteweg-de Vries Equation M Jiao, Y Cheng, Y Liu, M Zhang Communications in Computational Physics 28 (3), 927-966, 2020 | | 2020 |