武汉大学主页平台管理系统 Zhao Xiaofei--Home--Paper Publications

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[1]. Fourier pseudospectral methods for the variable-order space fractional wave equations. preprint. 2024.
[2]. On action ground states of defocusing nonlinear Schrodinger equations. preprint. 2024.
[3]. Computing ground states of Bose-Einstein condensation by normalized deep neural network. preprint. 2024.
[4]. Comparison of different discontinuous Galerkin methods based on various reformulations for generalized gKdV equation: soliton dynamics and blowup. Computer Physics Communications. to appear. 2024.
[5]. Error estimate of a quasi-Monte Carlo time-splitting pseudospectral method for disordered nonlinear Schrodinger equation. SIAM/ASA Journal on Uncertainty Quantification. 12 (1). 1-29. 2024.
[6]. Computing the action ground state for the rotating nonlinear Schrodinger equation. SIAM Journal on Scientific Computing. 45 (2). A397--A426. 2023.
[7]. Numerical methods for some nonlinear Schrodinger equations in soliton management. Journal of Scientific Computing. 95 (2). 61. 2023.
[8]. Gauge-Transformed Exponential Integrator for Generalized KdV Equations with Rough Data. SIAM Journal on Numerical Analysis. 61 (4). 1689-1715. 2023.
[9]. Geometric two-scale integrators for highly oscillatory system: uniform accuracy and near conservations. SIAM Journal on Numerical Analysis. 61 (3). 1246-1277. 2023.
[10]. An embedded exponential-type low-regularity integrator for mKdV equation. SIAM Journal on Numerical Analysis. 60 (3). 999-1025. 2022.
[11]. Numerical integrators for dispersion-managed KdV equation. Communications in Computational Physics. 311. 1180-1214. 2022.
[12]. A symmetric low-regularity integrator for nonlinear Klein-Gordon equation. Mathematics of Computation. 91. 2215-2245. 2022.
[13]. Embedded exponential-type low-regularity integrators for KdV equation under rough data. BIT Numerical Mathematics. 62. 1049-1090. 2022.
[14]. Derivative-free high-order uniformly accurate schemes for highly-oscillatory systems. IMA Journal of Numerical Analysis. 42 (2). 1623–1644. 2022.
[15]. Pseudospectral methods with PML for nonlinear Klein-Gordon equations in classical and non-relativistic regimes. Journal of Computational Physics. 448. 110728. 2022.
[16]. Numerical integrators for continuous disordered nonlinear Schrodinger equation. Journal of Scientific Computing. 89. 40. 2021.
[17]. Optimal convergence of a second order low-regularity integrator for the KdV equation. IMA Journal of Numerical Analysis. to appear. 2021.
[18]. Error estimates of some splitting schemes for charged-particle dynamics under strong magnetic field. SIAM Journal on Numerical Analysis. 59 (4). 2075–2105. 2021.
[19]. A uniformly first-order accurate method for Klein-Gordon-Zakharov system in simultaneous high-plasma-frequency and subsonic limit regime. Journal of Computational Physics. 428. 110064. 2021.
[20]. Low-regularity integrators for nonlinear Dirac equations. Mathematics of Computation. 90. 189-214. 2021.
[21]. On the rotating nonlinear Klein-Gordon equation: non-relativistic limit and numerical methods. SIAM Journal on Multiscale Modeling and Simulation. 18 (2). 999–1024. 2020.
[22]. Uniformly accurate methods for three dimensional Vlasov equations under strong magnetic field with varying direction. SIAM Journal on Scientific Computing. 42 (2). B520-B547. 2020.
[23]. On time-splitting methods for nonlinear Schrodinger equation with highly oscillatory potential. ESAIM: Mathematical Modelling and Numerical Analysis. 2020.
[24]. Comparison of numerical methods for the nonlinear Klein-Gordon equation in the nonrelativistic limit regime. Journal of Computational Physics. 398. 108886. 2019.
[25]. Uniformly accurate methods for Vlasov equations with non-homogeneous strong magnetic field. Mathematics of Computation. 88 (320). 2697-2736. 2019.
[26]. Multiscale Particle-in-Cell methods and comparisons for the long-time two-dimensional Vlasov-Poisson equation with strong magnetic field. Computer Physics Communications. 222. 136-151. 2018.
[27]. Numerical methods for the two-dimensional Vlasov–Poisson equation in the finite Larmor radius approximation regime. Journal of Computational Physics. 375. 619-640. 2018.
[28]. Uniformly Accurate Forward Semi-Lagrangian Methods for Highly Oscillatory Vlasov--Poisson Equations. SIAM Journal on Multiscale Modeling and Simulation. (15). 723-744. 2017.
[29]. Uniformly accurate Particle-in-Cell method for the long time solution of the two-dimensional Vlasov–Poisson equation with uniform strong magnetic field. Journal of Computational Physics. (346). 172-190. 2017.
[30]. Uniformly accurate multiscale time integrators for second order oscillatory differential equations with large initial data. BIT Numerical Mathematics. 57. 649-683. 2017.
[31]. A uniformly accurate (UA) multiscale time integrator Fourier pseudospectral method for the Klein–Gordon–Schrödinger equations in the nonrelativistic limit regime. Numerische Mathematik. (135). 833-873. 2017.
[32]. A uniformly accurate multiscale time integrator spectral method for the Klein–Gordon–Zakharov system in the high-plasma-frequency limit regime. Journal of Computational Physics. (327). 270-293. 2016.
[33]. A modulation equations approach for numerically solving the moving soliton and radiation solutions of NLS. Physica D: Nonlinear Phenomena. 320,. 77-88. 2016.
[34]. On multichannel solutions of nonlinear Schrödinger equations: algorithm, analysis and numerical explorations. Journal of Physics A: Mathematical and Theoretical. (48). 135201. 2015.
[35]. A Uniformly Accurate Multiscale Time Integrator Pseudospectral Method for the Klein--Gordon Equation in the Nonrelativistic Limit Regime. SIAM Journal on Numerical Analysis. (52). 2488-2511. 2014.
[36]. Optimal l∞ error estimates of finite difference methods for the coupled Gross-Pitaevskii equations in high dimensions. Sci. China Math. (57). 2189-2214. 2014.
[37]. An Exponential Wave Integrator Sine Pseudospectral Method for the Klein--Gordon--Zakharov System. SIAM Journal on Scientific Computing. (35). A2903-A2927. 2013.

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