Exact nonreflecting boundary conditions for one-dimensional cubic nonlinear Schrödinger equations. - Chunxiong Zheng (J. Comput. Phys., 2006)

A Time-Splitting Spectral Method for the Generalized Zakharov System in Multi-Dimensions. - Shi Jin 003; Chunxiong Zheng (J. Sci. Comput., 2006)

Numerical simulation of a modified KdV equation on the whole real axis. - Chunxiong Zheng (Numerische Mathematik, 2006)

A perfectly matched layer approach to the nonlinear Schrödinger wave equations. - Chunxiong Zheng (J. Comput. Phys., 2007)

Numerical Solution to the Sine-Gordon Equation Defined on the Whole Real Axis. - Chunxiong Zheng (SIAM J. Sci. Comput., 2007)

Exact artificial boundary conditions for problems with periodic structures. - Matthias Ehrhardt 001; Chunxiong Zheng (J. Comput. Phys., 2008)

Reconstruction of a penetrable obstacle in periodic waveguides. - Ruming Zhang; Jiguang Sun; Chunxiong Zheng (Comput. Math. Appl., 2017)

Fast and stable evaluation of the exact absorbing boundary condition for the semi-discrete linear Schrödinger equation in unbounded domains. - Jiashun Hu; Chunxiong Zheng (J. Comput. Appl. Math., 2017)

Numerical Solution of the Nonlocal Diffusion Equation on the Real Line. - Chunxiong Zheng; Jiashun Hu; Qiang Du 001; Jiwei Zhang 002 (SIAM J. Sci. Comput., 2017)

An Efficient Second-Order Finite Difference Method for the One-Dimensional Schrödinger Equation with Absorbing Boundary Conditions. - Buyang Li; Jiwei Zhang 002; Chunxiong Zheng (SIAM J. Numer. Anal., 2018)

Numerical Solution of a Two-Dimensional Nonlocal Wave Equation on Unbounded Domains. - Qiang Du 001; Houde Han; Jiwei Zhang 002; Chunxiong Zheng (SIAM J. Sci. Comput., 2018)

Stability and Error Analysis for a Second-Order Fast Approximation of the One-dimensional Schrödinger Equation Under Absorbing Boundary Conditions. - Buyang Li; Jiwei Zhang 002; Chunxiong Zheng (SIAM J. Sci. Comput., 2018)

Finite Element Approximation of Transmission Eigenvalues for Anisotropic Media. - Bo Gong; Jiguang Sun; Tiara Turner; Chunxiong Zheng (CoRR, 2020)

Optimal Error Estimate of the Extended-WKB Approximation to the High Frequency Wave-Type Equation in the Semi-classical Regime. - Chunxiong Zheng; Jiashun Hu (J. Sci. Comput., 2020)

Fast Evaluation of Artificial Boundary Conditions for Advection Diffusion Equations. - Ting Sun; Jilu Wang; Chunxiong Zheng (SIAM J. Numer. Anal., 2020)

Stability and Error Analysis for a Second-Order Fast Approximation of the Local and Nonlocal Diffusion Equations on the Real Line. - Chunxiong Zheng; Qiang Du 001; Xiang Ma; Jiwei Zhang 002 (SIAM J. Numer. Anal., 2020)

Space Reduction for Linear Systems with Local Symmetry. - Jia Yin; Chunxiong Zheng (J. Sci. Comput., 2021)

Finite element/holomorphic operator function method for the transmission eigenvalue problem. - Bo Gong; Jiguang Sun; Tiara Turner; Chunxiong Zheng (Math. Comput., 2022)

Stability and error analysis for a second-order approximation of 1D nonlocal Schrödinger equation under DtN-type boundary conditions. - Jihong Wang; Jiwei Zhang 002; Chunxiong Zheng (Math. Comput., 2022)

Fast artificial boundary method for the heat equation on unbounded domains with strip tails. - Chunxiong Zheng; Jiangming Xie (J. Comput. Appl. Math., 2023)

Error Analysis on the TICER Approximation. - Wenhui Yao; Chunxiong Zheng; Zhenya Zhou (Circuits Syst. Signal Process., 2023)

Absorbing Boundary Conditions for Variable Potential Schrödinger Equations via Titchmarsh-Weyl Theory. - Matthias Ehrhardt 001; Chunxiong Zheng (CoRR, 2024)

Sparsifiable spectral equivalence of DtN mapping and its application to elliptic problems. - Fengyang Zhao; Jiangming Xie; Chunxiong Zheng (J. Comput. Appl. Math., 2024)

Generalized Boundary Integral Equation Method for Boundary Value Problems of Two-D Isotropic Lattice Laplacian. - Wenhui Yao; Chunxiong Zheng (J. Sci. Comput., 2024)