Search Results - "Tingchun Wang, Tingchun Wang"

Maximum norm error bound of a linearized difference scheme for a coupled nonlinear Schrödinger equations by Wang, Tingchun

“…In this article, a linearized conservative difference scheme for a coupled nonlinear Schrödinger equations is studied. The discrete energy method and an useful…”
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Efficient and Accurate Numerical Methods for Long-Wave Short-Wave Interaction Equations in the Semiclassical Limit Regime by Tingchun Wang, Tingchun Wang, Xiaofei Zhao, Xiaofei Zhao, Mao Peng, Mao Peng, Peng Wang, Peng Wang

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New conservative difference schemes for a coupled nonlinear Schrödinger system by Wang, Tingchun, Guo, Boling, Zhang, Luming

“…In this paper, two conservative difference schemes for solving a coupled nonlinear Schrödinger (CNLS) system are numerically analyzed. Firstly, a nonlinear…”
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Optimal l∞ error estimates of finite difference methods for the coupled Gross-Pitaevskii equations in high dimensions by Wang, TingChun, Zhao, XiaoFei

“…Due to the difficulty in obtaining the a priori estimate, it is very hard to establish the optimal point-wise error bound of a finite difference scheme for…”
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Convergence of a Linearized and Conservative Difference Scheme for the Klein-Gordon-Zakharov Equation by Tingchun Wang, Tingchun Wang, Boling Guo, Boling Guo

“…A linearized and conservative finite difference scheme is presented for the initial-boundary value problem of the Klein-Gordon-Zakharov （KGZ） equation. The new…”
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A robust semi-explicit difference scheme for the Kuramoto–Tsuzuki equation by Wang, Tingchun, Guo, Boling

“…In this paper, we propose a robust semi-explicit difference scheme for solving the Kuramoto–Tsuzuki equation with homogeneous boundary conditions. Because the…”
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Conservative difference methods for the Klein–Gordon–Zakharov equations by Wang, Tingchun, Chen, Juan, Zhang, Luming

“…Firstly an implicit conservative finite difference scheme is presented for the initial-boundary problem of the one space dimensional Klein–Gordon–Zakharov…”
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Conservative schemes for the symmetric Regularized Long Wave equations by Wang, Tingchun, Zhang, Luming, Chen, Fangqi

“…In this paper, we study the Symmetric Regularized Long Wave (SRLW) equations by finite difference method. We design some numerical schemes which preserve the…”
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Analysis of a symplectic difference scheme for a coupled nonlinear Schrödinger system by Wang, Tingchun, Nie, Tao, Zhang, Luming

“…In general, proofs of convergence and stability are difficult for symplectic schemes of nonlinear equations. In this paper, a symplectic difference scheme is…”
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Optimal point-wise error estimate of a compact difference scheme for the Klein–Gordon–Schrödinger equation by Wang, Tingchun

“…In this paper, we propose a compact finite difference scheme for computing the Klein–Gordon–Schrödinger equation (KGSE) with homogeneous Dirichlet boundary…”
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Numerical analysis of a multi-symplectic scheme for a strongly coupled Schrödinger system by Wang, Tingchun, Zhang, Luming, Chen, Fangqi

“…In this paper, we analyze a multi-symplectic scheme for a strongly coupled nonlinear Schrödinger equations. We derive a general box scheme which is equivalent…”
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Optimal Point-Wise Error Estimate of a Compact Difference Scheme for the Coupled Gross–Pitaevskii Equations in One Dimension by Wang, Tingchun

“…The coupled Gross–Pitaevskii (CGP) equation studied in this paper is an important mathematical model describing two-component Bose–Einstein condensate with an…”
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Uniform point-wise error estimates of semi-implicit compact finite difference methods for the nonlinear Schrödinger equation perturbed by wave operator by Wang, Tingchun

“…This study is devoted to analysis of semi-implicit compact finite difference (SICFD) methods for the nonlinear Schrödinger equation (NLS) perturbed by the wave…”
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Optimal point-wise error estimates of two conservative finite difference schemes for the coupled Gross–Pitaevskii equations with angular momentum rotation terms by Wang, Tingchun, Wang, Tingfeng

“…This paper is concerned with numerical analysis of two finite difference schemes for solving the coupled Gross–Pitaevskii equations with angular momentum…”
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Optimal point-wise error estimate of two conservative fourth-order compact finite difference schemes for the nonlinear Dirac equation by Li, Jiyong, Wang, Tingchun

“…In this paper, we propose and analyze two conservative fourth-order compact finite difference schemes for the (1+1) dimensional nonlinear Dirac equation with…”
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A linearized, decoupled, and energy‐preserving compact finite difference scheme for the coupled nonlinear Schrödinger equations by Wang, Tingchun

“…In this article, a decoupled and linearized compact finite difference scheme is proposed for solving the coupled nonlinear Schrödinger equations. The new…”
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Fourth-order compact and energy conservative difference schemes for the nonlinear Schrödinger equation in two dimensions by Wang, Tingchun, Guo, Boling, Xu, Qiubin

“…In this paper, a fourth-order compact and energy conservative difference scheme is proposed for solving the two-dimensional nonlinear Schrödinger equation with…”
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Uniform error bound of a Crank–Nicolson‐type finite difference scheme for Zakharov system in the subsonic limit regime by Wang, Tingchun, Yang, Zhuo

“…In this paper, we use the order reduction method to present a Crank–Nicolson‐type finite difference scheme for Zakharov system (ZS) with a dimensionless…”
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Optimal error estimates of fourth‐order compact finite difference methods for the nonlinear Klein–Gordon equation in the nonrelativistic regime by Zhang, Teng, Wang, Tingchun

“…Two fourth‐order compact finite difference schemes including a Crank–Nicolson one and a semi‐implicit one are derived for solving the nonlinear Klein–Gordon…”
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Two completely explicit and unconditionally convergent Fourier pseudo-spectral methods for solving the nonlinear Schrödinger equation by Wang, Tingchun, Wang, Jialing, Guo, Boling

“…This paper aims to construct and analyze two new Fourier pseudo-spectral (FPS) methods for the general nonlinear Schrödinger (NLS) equation. The two FPS…”
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