| A discontinuous Galerkin method for nonlinear parabolic equations and gradient flow problems with interaction potentials Z Sun, JA Carrillo, CW Shu Journal of Computational Physics 352, 76-104, 2018 | 63 | 2018 |
| Strong stability of explicit Runge–Kutta time discretizations Z Sun, CW Shu SIAM Journal on Numerical Analysis 57 (3), 1158-1182, 2019 | 47 | 2019 |
| Stability of the fourth order Runge–Kutta method for time-dependent partial differential equations Z Sun, CW Shu Annals of Mathematical Sciences and Applications 2 (2), 255-284, 2017 | 36 | 2017 |
| Convolution neural network shock detector for numerical solution of conservation laws Z Sun, S Wang, LB Chang, Y Xing, D Xiu Communications in Computational Physics 28 (5), 2075, 2020 | 23 | 2020 |
| An entropy stable high-order discontinuous Galerkin method for cross-diffusion gradient flow systems Z Sun, JA Carrillo, CW Shu Kinetic & Related Models 12 (4), 885-908, 2019 | 18 | 2019 |
| Stability analysis and error estimates of Lax–Wendroff discontinuous Galerkin methods for linear conservation laws Z Sun, CW Shu ESAIM: Mathematical Modelling and Numerical Analysis 51 (3), 1063-1087, 2017 | 14 | 2017 |
| On structure-preserving discontinuous Galerkin methods for Hamiltonian partial differential equations: Energy conservation and multi-symplecticity Z Sun, Y Xing Journal of Computational Physics 419, 109662, 2020 | 12 | 2020 |
| Enforcing strong stability of explicit Runge-Kutta methods with superviscosity Z Sun, CW Shu Communications on Applied Mathematics and Computation 3 (4), 671-700, 2021 | 11 | 2021 |
| Optimal error estimates of discontinuous Galerkin methods with generalized fluxes for wave equations on unstructured meshes Z Sun, Y Xing Mathematics of Computation 90 (330), 1741-1772, 2021 | 11 | 2021 |
| Low-memory, discrete ordinates, discontinuous Galerkin methods for radiative transport Z Sun, CD Hauck SIAM Journal on Scientific Computing 42 (4), B869-B893, 2020 | 8 | 2020 |
| On generalized Gauss–Radau projections and optimal error estimates of upwind-biased DG methods for the linear advection equation on special simplex meshes Z Sun, Y Xing Journal of Scientific Computing 95 (2), 40, 2023 | 4 | 2023 |
| On Energy Laws and Stability of Runge--Kutta Methods for Linear Seminegative Problems Z Sun, Y Wei, K Wu SIAM Journal on Numerical Analysis 60 (5), 2448-2481, 2022 | 4 | 2022 |
| Error analysis of Runge--Kutta discontinuous Galerkin methods for linear time-dependent partial differential equations Z Sun, CW Shu arXiv preprint arXiv:2001.00971, 2020 | 3 | 2020 |
| The Runge–Kutta discontinuous Galerkin method with compact stencils for hyperbolic conservation laws Q Chen, Z Sun, Y Xing SIAM Journal on Scientific Computing 46 (2), A1327-A1351, 2024 | 2 | 2024 |
| OEDG: Oscillation-eliminating discontinuous Galerkin method for hyperbolic conservation laws M Peng, Z Sun, K Wu arXiv preprint arXiv:2310.04807, 2023 | 2 | 2023 |
| The Runge--Kutta discontinuous Galerkin method with stage-dependent polynomial spaces for hyperbolic conservation laws Q Chen, Z Sun, Y Xing arXiv preprint arXiv:2402.15150, 2024 | 1 | 2024 |
| Stability of structure-aware Taylor methods for tents J Gopalakrishnan, Z Sun Mathematics of Computation 92 (341), 1061-1086, 2023 | 1 | 2023 |
| Reducing polynomial degree by one for inner-stage operators affects neither stability nor accuracy of the Runge--Kutta discontinuous Galerkin method Z Sun arXiv preprint arXiv:2404.15453, 2024 | | 2024 |
| Stability and Time-Step Constraints of Implicit-Explicit Runge-Kutta Methods for the Linearized Korteweg-de Vries Equation J Hunter, Z Sun, Y Xing Communications on Applied Mathematics and Computation 6 (1), 658-687, 2024 | | 2024 |
| On a numerical artifact of solving shallow water equations with a discontinuous bottom: Analysis and a nontransonic fix Z Sun, Y Xing arXiv preprint arXiv:2308.09265, 2023 | | 2023 |
Chi-Wang ShuBrown UniversityEmail verificata su brown.edu
