Sparsifiable spectral equivalence of DtN mapping and its application to elliptic problems.

Chunxiong Zheng

Fengyang Zhao Jiangming Xie Chunxiong Zheng Sparsifiable spectral equivalence of DtN mapping and its application to elliptic problems. 116114 2024 452 J. Comput. Appl. Math. https://doi.org/10.1016/j.cam.2024.116114 db/journals/jcam/jcam452.html#ZhaoXZ24 streams/journals/jcam

Wenhui Yao Chunxiong Zheng Generalized Boundary Integral Equation Method for Boundary Value Problems of Two-D Isotropic Lattice Laplacian. 49 2024 May 99 J. Sci. Comput. 2 https://doi.org/10.1007/s10915-024-02507-3 db/journals/jscic/jscic99.html#YaoZ24

Matthias Ehrhardt 0001 Chunxiong Zheng Absorbing Boundary Conditions for Variable Potential Schrödinger Equations via Titchmarsh-Weyl Theory. 2024 abs/2408.00671 CoRR https://doi.org/10.48550/arXiv.2408.00671 db/journals/corr/corr2408.html#abs-2408-00671 streams/journals/corr

Wenhui Yao Chunxiong Zheng Zhenya Zhou Error Analysis on the TICER Approximation. 4390-4400 2023 July 42 Circuits Syst. Signal Process. 7 https://doi.org/10.1007/s00034-023-02306-5 db/journals/cssp/cssp42.html#YaoZZ23

Chunxiong Zheng Jiangming Xie Fast artificial boundary method for the heat equation on unbounded domains with strip tails. 115032 2023 June 425 J. Comput. Appl. Math. https://doi.org/10.1016/j.cam.2022.115032 db/journals/jcam/jcam425.html#ZhengX23

Jihong Wang Jiwei Zhang 0002 Chunxiong Zheng Stability and error analysis for a second-order approximation of 1D nonlocal Schrödinger equation under DtN-type boundary conditions. 761-783 2022 91 Math. Comput. 334 https://doi.org/10.1090/mcom/3685 db/journals/moc/moc91.html#WangZZ22

Bo Gong Jiguang Sun Tiara Turner Chunxiong Zheng Finite element/holomorphic operator function method for the transmission eigenvalue problem. 2517-2537 2022 91 Math. Comput. 338 https://doi.org/10.1090/mcom/3767 https://www.wikidata.org/entity/Q114094300 db/journals/moc/moc91.html#GongSTZ22

Jia Yin Chunxiong Zheng Space Reduction for Linear Systems with Local Symmetry. 59 2021 89 J. Sci. Comput. 3 https://doi.org/10.1007/s10915-021-01663-0 db/journals/jscic/jscic89.html#YinZ21

Chunxiong Zheng Jiashun Hu Optimal Error Estimate of the Extended-WKB Approximation to the High Frequency Wave-Type Equation in the Semi-classical Regime. 19 2020 83 J. Sci. Comput. 1 https://doi.org/10.1007/s10915-020-01208-x db/journals/jscic/jscic83.html#ZhengH20

Chunxiong Zheng Qiang Du 0001 Xiang Ma Jiwei Zhang 0002 Stability and Error Analysis for a Second-Order Fast Approximation of the Local and Nonlocal Diffusion Equations on the Real Line. 1893-1917 2020 58 SIAM J. Numer. Anal. 3 https://doi.org/10.1137/19M1285822 db/journals/siamnum/siamnum58.html#ZhengDMZ20

Ting Sun Jilu Wang Chunxiong Zheng Fast Evaluation of Artificial Boundary Conditions for Advection Diffusion Equations. 3530-3557 2020 58 SIAM J. Numer. Anal. 6 https://doi.org/10.1137/19M130145X db/journals/siamnum/siamnum58.html#SunWZ20

Bo Gong Jiguang Sun Tiara Turner Chunxiong Zheng Finite Element Approximation of Transmission Eigenvalues for Anisotropic Media. 2020 abs/2001.05340 CoRR https://arxiv.org/abs/2001.05340 db/journals/corr/corr2001.html#abs-2001-05340

Buyang Li Jiwei Zhang 0002 Chunxiong Zheng An Efficient Second-Order Finite Difference Method for the One-Dimensional Schrödinger Equation with Absorbing Boundary Conditions. 766-791 2018 56 SIAM J. Numer. Anal. 2 https://doi.org/10.1137/17M1122347 db/journals/siamnum/siamnum56.html#LiZZ18

Qiang Du 0001 Houde Han Jiwei Zhang 0002 Chunxiong Zheng Numerical Solution of a Two-Dimensional Nonlocal Wave Equation on Unbounded Domains. 2018 40 SIAM J. Sci. Comput. 3 https://doi.org/10.1137/16M1102896 https://www.wikidata.org/entity/Q129786051 db/journals/siamsc/siamsc40.html#DuHZZ18

Buyang Li Jiwei Zhang 0002 Chunxiong Zheng Stability and Error Analysis for a Second-Order Fast Approximation of the One-dimensional Schrödinger Equation Under Absorbing Boundary Conditions. A4083-A4104 2018 40 SIAM J. Sci. Comput. 6 https://doi.org/10.1137/17M1162111 db/journals/siamsc/siamsc40.html#LiZZ18

Ruming Zhang Jiguang Sun Chunxiong Zheng Reconstruction of a penetrable obstacle in periodic waveguides. 2739-2751 2017 74 Comput. Math. Appl. 11 https://doi.org/10.1016/j.camwa.2017.08.028 db/journals/cma/cma74.html#ZhangSZ17

Jiashun Hu Chunxiong Zheng Fast and stable evaluation of the exact absorbing boundary condition for the semi-discrete linear Schrödinger equation in unbounded domains. 116-125 2017 326 J. Comput. Appl. Math. https://doi.org/10.1016/j.cam.2017.05.018 db/journals/jcam/jcam326.html#HuZ17

Chunxiong Zheng Jiashun Hu Qiang Du 0001 Jiwei Zhang 0002 Numerical Solution of the Nonlocal Diffusion Equation on the Real Line. 2017 39 SIAM J. Sci. Comput. 5 https://doi.org/10.1137/16M1090107 db/journals/siamsc/siamsc39.html#ZhengHDZ17

Matthias Ehrhardt 0001 Chunxiong Zheng Exact artificial boundary conditions for problems with periodic structures. 6877-6894 2008 227 J. Comput. Phys. 14 https://doi.org/10.1016/j.jcp.2008.03.042 db/journals/jcphy/jcphy227.html#EhrhardtZ08

Chunxiong Zheng A perfectly matched layer approach to the nonlinear Schrödinger wave equations. 537-556 2007 227 J. Comput. Phys. 1 https://doi.org/10.1016/j.jcp.2007.08.004 db/journals/jcphy/jcphy227.html#Zheng07

Chunxiong Zheng Numerical Solution to the Sine-Gordon Equation Defined on the Whole Real Axis. 2494-2506 2007 29 SIAM J. Sci. Comput. 6 https://doi.org/10.1137/050640643 db/journals/siamsc/siamsc29.html#Zheng07

Chunxiong Zheng Exact nonreflecting boundary conditions for one-dimensional cubic nonlinear Schrödinger equations. 552-565 2006 215 J. Comput. Phys. 2 https://doi.org/10.1016/j.jcp.2005.11.005 db/journals/jcphy/jcphy215.html#Zheng06

Shi Jin 0003 Chunxiong Zheng A Time-Splitting Spectral Method for the Generalized Zakharov System in Multi-Dimensions. 127-149 2006 26 J. Sci. Comput. 2 https://doi.org/10.1007/s10915-005-4929-2 db/journals/jscic/jscic26.html#JinZ06

Chunxiong Zheng Numerical simulation of a modified KdV equation on the whole real axis. 315-335 2006 105 Numerische Mathematik 2 https://doi.org/10.1007/s00211-006-0044-z db/journals/nm/nm105.html#Zheng06

Qiang Du 0001 Matthias Ehrhardt 0001 Bo Gong Houde Han Jiashun Hu Shi Jin 0003 Buyang Li Xiang Ma Jiguang Sun Ting Sun Tiara Turner Jihong Wang Jilu Wang Jiangming Xie Wenhui Yao Jia Yin Jiwei Zhang 0002 Ruming Zhang Fengyang Zhao Zhenya Zhou