Superconvergence of discontinuous Galerkin and local discontinuous Galerkin methods: eigen-structure analysis based on Fourier approach W Guo, X Zhong, JM Qiu Journal of Computational Physics 235, 458-485, 2013 | 77 | 2013 |
A conservative semi-Lagrangian discontinuous Galerkin scheme on the cubed sphere W Guo, RD Nair, JM Qiu Monthly Weather Review 142 (1), 457-475, 2014 | 66 | 2014 |
A sparse grid discontinuous Galerkin method for high-dimensional transport equations and its application to kinetic simulations W Guo, Y Cheng arXiv preprint arXiv:1602.02124, 2016 | 55 | 2016 |
Sparse grid discontinuous Galerkin methods for high-dimensional elliptic equations Z Wang, Q Tang, W Guo, Y Cheng Journal of Computational Physics 314, 244-263, 2016 | 51 | 2016 |
A high order time splitting method based on integral deferred correction for semi-Lagrangian Vlasov simulations A Christlieb, W Guo, M Morton, JM Qiu Journal of Computational Physics 267, 7-27, 2014 | 43 | 2014 |
A high order conservative semi-Lagrangian discontinuous Galerkin method for two-dimensional transport simulations X Cai, W Guo, JM Qiu Journal of Scientific Computing 73, 514-542, 2017 | 36 | 2017 |
Hybrid semi-Lagrangian finite element-finite difference methods for the Vlasov equation W Guo, JM Qiu Journal of Computational Physics 234, 108-132, 2013 | 36 | 2013 |
An adaptive multiresolution discontinuous Galerkin method for time-dependent transport equations in multidimensions W Guo, Y Cheng SIAM Journal on Scientific Computing 39 (6), A2962-A2992, 2017 | 34 | 2017 |
A low rank tensor representation of linear transport and nonlinear Vlasov solutions and their associated flow maps W Guo, JM Qiu Journal of Computational Physics 458, 111089, 2022 | 25 | 2022 |
A high order semi-Lagrangian discontinuous Galerkin method for Vlasov–Poisson simulations without operator splitting X Cai, W Guo, JM Qiu Journal of Computational Physics 354, 529-551, 2018 | 25 | 2018 |
A new Lax–Wendroff discontinuous Galerkin method with superconvergence W Guo, JM Qiu, J Qiu Journal of Scientific Computing 65 (1), 299-326, 2015 | 24 | 2015 |
A semi-Lagrangian discontinuous Galerkin (DG)–local DG method for solving convection-diffusion equations M Ding, X Cai, W Guo, JM Qiu Journal of Computational Physics 409, 109295, 2020 | 21 | 2020 |
Kernel based high order “explicit” unconditionally stable scheme for nonlinear degenerate advection-diffusion equations A Christlieb, W Guo, Y Jiang, H Yang Journal of Scientific Computing 82 (3), 52, 2020 | 21 | 2020 |
Sparse grid discontinuous Galerkin methods for the Vlasov-Maxwell system Z Tao, W Guo, Y Cheng Journal of Computational Physics: X 3, 100022, 2019 | 21 | 2019 |
A WENO-based method of lines transpose approach for Vlasov simulations A Christlieb, W Guo, Y Jiang Journal of Computational Physics 327, 337-367, 2016 | 19 | 2016 |
An efficient WENO limiter for discontinuous Galerkin transport scheme on the cubed sphere W Guo, RD Nair, X Zhong International Journal for Numerical Methods in Fluids 81 (1), 3-21, 2016 | 19 | 2016 |
A high order semi-Lagrangian discontinuous Galerkin method for the two-dimensional incompressible Euler equations and the guiding center Vlasov model without operator splitting X Cai, W Guo, JM Qiu Journal of Scientific Computing 79, 1111-1134, 2019 | 18 | 2019 |
A conservative low rank tensor method for the Vlasov dynamics W Guo, JM Qiu SIAM Journal on Scientific Computing 46 (1), A232-A263, 2024 | 15 | 2024 |
Local-structure-preserving discontinuous Galerkin methods with Lax-Wendroff type time discretizations for Hamilton-Jacobi equations W Guo, F Li, J Qiu Journal of Scientific Computing 47 (2), 239-257, 2011 | 14 | 2011 |
A local macroscopic conservative (lomac) low rank tensor method with the discontinuous galerkin method for the vlasov dynamics W Guo, JF Ema, JM Qiu Communications on Applied Mathematics and Computation 6 (1), 550-575, 2024 | 11 | 2024 |