A local discontinuous Galerkin method for KdV type equations J Yan, CW Shu SIAM Journal on Numerical Analysis 40 (2), 769-791, 2002 | 380 | 2002 |
Local discontinuous Galerkin methods for partial differential equations with higher order derivatives J Yan, CW Shu Journal of Scientific Computing 17, 27-47, 2002 | 231 | 2002 |
The direct discontinuous Galerkin (DDG) methods for diffusion problems H Liu, J Yan SIAM Journal on Numerical Analysis 47 (1), 675-698, 2009 | 220 | 2009 |
Local discontinuous Galerkin methods for nonlinear dispersive equations D Levy, CW Shu, J Yan Journal of Computational Physics 196 (2), 751-772, 2004 | 144 | 2004 |
The direct discontinuous Galerkin (DDG) method for diffusion with interface corrections H Liu, J Yan Communications in Computational Physics 8 (3), 541, 2010 | 140 | 2010 |
A local discontinuous Galerkin method for directly solving Hamilton–Jacobi equations J Yan, S Osher Journal of Computational Physics 230 (1), 232-244, 2011 | 86 | 2011 |
A local discontinuous Galerkin method for the Korteweg–de Vries equation with boundary effect H Liu, J Yan Journal of Computational Physics 215 (1), 197-218, 2006 | 77 | 2006 |
Third order maximum-principle-satisfying direct discontinuous Galerkin methods for time dependent convection diffusion equations on unstructured triangular meshes Z Chen, H Huang, J Yan Journal of Computational Physics 308, 198-217, 2016 | 69 | 2016 |
Fourier type error analysis of the direct discontinuous Galerkin method and its variations for diffusion equations M Zhang, J Yan Journal of Scientific Computing 52 (3), 638-655, 2012 | 21 | 2012 |
A new direct discontinuous Galerkin method with symmetric structure for nonlinear diffusion equations C Vidden, J Yan Journal of Computational Mathematics, 638-662, 2013 | 20 | 2013 |
A new nonsymmetric discontinuous Galerkin method for time dependent convection diffusion equations J Yan Journal of Scientific Computing 54, 663-683, 2013 | 18 | 2013 |
High order symmetric direct discontinuous Galerkin method for elliptic interface problems with fitted mesh H Huang, J Li, J Yan Journal of Computational Physics 409, 109301, 2020 | 12 | 2020 |
Cell-average based neural network method for hyperbolic and parabolic partial differential equations C Qiu, J Yan arXiv preprint arXiv:2107.00813, 2021 | 11 | 2021 |
Direct discontinuous Galerkin method and its variations for second order elliptic equations H Huang, Z Chen, J Li, J Yan Journal of Scientific Computing 70, 744-765, 2017 | 11 | 2017 |
Fourier type super convergence study on DDGIC and symmetric DDG methods M Zhang, J Yan Journal of Scientific Computing 73, 1276-1289, 2017 | 10 | 2017 |
Third order positivity-preserving direct discontinuous Galerkin method with interface correction for chemotaxis Keller-Segel equations C Qiu, Q Liu, J Yan Journal of Computational Physics 433, 110191, 2021 | 9 | 2021 |
A new direct discontinuous Galerkin method with interface correction for two-dimensional compressible Navier-Stokes equations ME Danis, J Yan Journal of Computational Physics 452, 110904, 2022 | 6 | 2022 |
Cell-average based neural network method for third order and fifth order KdV type equations Y Chen, J Yan, X Zhong Frontiers in Applied Mathematics and Statistics 8, 1021069, 2022 | 5 | 2022 |
Discontinuous Galerkin level set method for interface capturing S Osher, J Yan UCLA report, 2005 | 4 | 2005 |
Accuracy and architecture studies of residual neural network solving ordinary differential equations C Qiu, A Bendickson, J Kalyanapu, J Yan arXiv preprint arXiv:2101.03583, 2021 | 3 | 2021 |