A Uniformly Accurate Multiscale Time Integrator Pseudospectral Method for the Klein--Gordon Equation in the Nonrelativistic Limit Regime W Bao, Y Cai, X Zhao SIAM Journal on Numerical Analysis 52 (5), 2488-2511, 2014 | 103 | 2014 |
An Exponential Wave Integrator Sine Pseudospectral Method for the Klein--Gordon--Zakharov System W Bao, X Dong, X Zhao SIAM Journal on Scientific Computing 35 (6), A2903-A2927, 2013 | 69 | 2013 |
Unconditional and optimal H2-error estimates of two linear and conservative finite difference schemes for the Klein-Gordon-Schrödinger equation in high dimensions T Wang, X Zhao, J Jiang Advances in Computational Mathematics 44 (2), 477-503, 2018 | 54 | 2018 |
A uniformly accurate (UA) multiscale time integrator Fourier pseudospectral method for the Klein–Gordon–Schrödinger equations in the nonrelativistic limit regime W Bao, X Zhao Numerische Mathematik 135 (3), 833-873, 2017 | 53 | 2017 |
Optimal l∞ error estimates of finite difference methods for the coupled Gross-Pitaevskii equations in high dimensions TC Wang, XF Zhao Sci. China Math 57, 2189-2214, 2014 | 45 | 2014 |
Error estimates of some splitting schemes for charged-particle dynamics under strong magnetic field B Wang, X Zhao SIAM Journal on Numerical Analysis 59 (4), 2075–2105, 2021 | 43 | 2021 |
Comparison of numerical methods for the nonlinear Klein-Gordon equation in the nonrelativistic limit regime W Bao, X Zhao Journal of Computational Physics 398, 108886, 2019 | 42 | 2019 |
Uniformly accurate multiscale time integrators for highly oscillatory second order differential equations W Bao, X Dong, X Zhao Journal of Mathematical Study 47, 111-150, 2014 | 42 | 2014 |
Low-regularity integrators for nonlinear Dirac equations K Schratz, Y Wang, X Zhao Mathematics of Computation 90, 189-214, 2021 | 39 | 2021 |
A uniformly accurate multiscale time integrator spectral method for the Klein–Gordon–Zakharov system in the high-plasma-frequency limit regime W Bao, X Zhao Journal of Computational Physics 327, 270-293, 2016 | 37 | 2016 |
On error estimates of an exponential wave integrator sine pseudospectral method for the Klein–Gordon–Zakharov system X Zhao Numerical Methods for Partial Differential Equations 32 (1), 266-291, 2016 | 37 | 2016 |
Embedded exponential-type low-regularity integrators for KdV equation under rough data Y Wu, X Zhao BIT Numerical Mathematics 62, 1049-1090, 2022 | 34 | 2022 |
Uniformly accurate Particle-in-Cell method for the long time solution of the two-dimensional Vlasov–Poisson equation with uniform strong magnetic field N Crouseilles, M Lemou, F Méhats, X Zhao Journal of Computational Physics 346, 172-190, 2017 | 33 | 2017 |
Scalar-field theory of dark matter K Huang, C Xiong, X Zhao International Journal of Modern Physics A 29 (13), 1450074, 2014 | 32 | 2014 |
Optimal convergence of a second order low-regularity integrator for the KdV equation Y Wu, X Zhao IMA Journal of Numerical Analysis, 2021 | 31 | 2021 |
On Time-Splitting Pseudospectral Discretization for Nonlinear Klein-Gordon Equation in Nonrelativistic Limit Regime X Dong, Z Xu, X Zhao Communications in Computational Physics 16 (2), 440-466, 2014 | 28 | 2014 |
Uniformly accurate methods for three dimensional Vlasov equations under strong magnetic field with varying direction P Chartier, N Crouseilles, M Lemou, F Méhats, X Zhao SIAM Journal on Scientific Computing 42 (2), B520-B547, 2020 | 27 | 2020 |
Uniformly accurate numerical schemes for the nonlinear Dirac equation in the nonrelativistic limit regime M Lemou, F Méhats, X Zhao Communications in mathematical sciences 15 (4), 1107-1128, 2017 | 27 | 2017 |
A symmetric low-regularity integrator for nonlinear Klein-Gordon equation Y Wang, X Zhao Mathematics of Computation 91, 2215-2245, 2022 | 19 | 2022 |
Uniformly accurate methods for Vlasov equations with non-homogeneous strong magnetic field P Chartier, N Crouseilles, M Lemou, F Méhats, X Zhao Mathematics of Computation 88 (320), 2697-2736, 2019 | 19 | 2019 |