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 | 34 | 2017 |
Positivity-preserving high order finite volume HWENO schemes for compressible Euler equations X Cai, X Zhang, J Qiu Journal of Scientific Computing 68, 464-483, 2016 | 32 | 2016 |
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 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 | 20 | 2020 |
High order semi-Lagrangian discontinuous Galerkin method coupled with Runge-Kutta exponential integrators for nonlinear Vlasov dynamics X Cai, S Boscarino, JM Qiu Journal of Computational Physics 427, 110036, 2021 | 19 | 2021 |
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 | 16 | 2019 |
A conservative semi-Lagrangian HWENO method for the Vlasov equation X Cai, J Qiu, JM Qiu Journal of Computational Physics 323, 95-114, 2016 | 16 | 2016 |
An Eulerian-Lagrangian discontinuous Galerkin method for transport problems and its application to nonlinear dynamics X Cai, JM Qiu, Y Yang Journal of Computational Physics 439, 110392, 2021 | 10 | 2021 |
Conservative semi-Lagrangian kinetic scheme coupled with implicit finite element field solver for multidimensional Vlasov Maxwell system H Liu, X Cai, G Lapenta, Y Cao Communications in Nonlinear Science and Numerical Simulation 102, 105941, 2021 | 9 | 2021 |
A Conservative Semi-Lagrangian Hybrid Hermite WENO Scheme for Linear Transport Equations and the Nonlinear Vlasov--Poisson System N Zheng, X Cai, JM Qiu, J Qiu SIAM Journal on Scientific Computing 43 (5), A3580-A3606, 2021 | 9 | 2021 |
Comparison of semi-Lagrangian discontinuous Galerkin schemes for linear and nonlinear transport simulations X Cai, W Guo, JM Qiu Communications on Applied Mathematics and Computation, 1-31, 2020 | 7 | 2020 |
Adaptive order weno reconstructions for the semi-lagrangian finite difference scheme for advection problem J Chen Communications in Computational Physics 30 (1), 2021 | 6 | 2021 |
Optimal convergence and superconvergence of semi-Lagrangian discontinuous Galerkin methods for linear convection equations in one space dimension Y Yang, X Cai, JM Qiu Mathematics of Computation 89 (325), 2113-2139, 2020 | 6 | 2020 |
A fourth-order conservative semi-Lagrangian finite volume WENO scheme without operator splitting for kinetic and fluid simulations N Zheng, X Cai, JM Qiu, J Qiu Computer Methods in Applied Mechanics and Engineering 395, 114973, 2022 | 5 | 2022 |
Finite volume HWENO schemes for nonconvex conservation laws X Cai, J Qiu, J Qiu Journal of Scientific Computing 75, 65-82, 2018 | 5 | 2018 |
Hermite WENO schemes with strong stability preserving multi-step temporal discretization methods for conservation laws X Cai, J Zhu, J Qiu Journal of Computational Mathematics, 52-73, 2017 | 4 | 2017 |
Fourth-order conservative non-splitting semi-Lagrangian Hermite WENO schemes for kinetic and fluid simulations N Zheng, X Cai, JM Qiu, J Qiu Journal of Scientific Computing 99 (3), 70, 2024 | 3 | 2024 |
Semi-Lagrangian implicit Bhatnagar-Gross-Krook collision model for the finite-volume discrete Boltzmann method L Chen, S Succi, X Cai, L Schaefer Physical Review E 101 (6), 063301, 2020 | 3 | 2020 |
An accurate unstructured finite volume discrete Boltzmann method L Chen, L Schaefer, X Cai ASME International Mechanical Engineering Congress and Exposition 52101 …, 2018 | 3 | 2018 |
An efficient energy conserving semi-Lagrangian kinetic scheme for the Vlasov-Ampère system H Liu, X Cai, Y Cao, G Lapenta Journal of Computational Physics 492, 112412, 2023 | 2 | 2023 |