[25] Zixuan Gao, Zhenli Xu, Zhiguo Yang, A divergence-free projection method for quasiperiodic phtonic crystals in three dimensions, arXiv: 2409.05528, 2024.

[24] Lechang Qin, Huiyuan Li, Zhiguo Yang, An exact divergence-free spectral method for incompressible and resistive magneto-hydrodynamic equations in two and three dimensions, arXiv:2312.12218, 2023.

[23] Sen Lin, Huiyuan Li, Zhiguo Yang, Highly efficient Gauss's law-preserving spectral algorithms for Maxwell's double-curl source and eigenvalue problems based on eigen-decomposition, accepted by CSIAM Journal of Applied Mathematics, 2025.

[22] Lechang Qin, Changtao Sheng, Zhiguo Yang, A highly efficient and accurate divergence-free spectral method for curl-curl equation in two and three dimensions, SIAM Journal of Scientific Computing, 46(4), A2015-A2177, 2024.

[21] Zixuan Gao, Zhenli Xu, Zhiguo Yang, Reduced Projection Method for Photonic Moiré Lattices, Journal of Scientific Computing 102 (1), 8, 2025.

[20] Hanbin Wang, Jie Xu, Zhiguo Yang, A second-order SO(3)-preserving and energy-stable scheme for orthonormal frame gradient flow model of biaxial nematic liquid crystals, Journal of Scientific Computing, 99,75, 2024.

[19] Jie Xu, Xiaotian Yang, Zhiguo Yang, A second-order length-preserving and unconditionally energy stable rotational discrete gradient method for Oseen-Frank gradient flows, Communications in Computational Physics, 35, 369-394, 2024.

[18] Zhuoning Li, Zhenli Xu, Zhiguo Yang, An energy-conserving Fourier particle-in-cell method with asymptotic-preserving preconditioner for Vlasov-Ampère system with exact curl-free constraint, Journal of Computational Physics, 495, 112529, 2023.

[17] Zixuan Gao, Zhenli Xu, Zhiguo Yang, Fangwei Ye, Pythagoras superposition principle for localized eigenstates of two-dimensional moiré lattices, Physics Review A, 108, 013513, 2023.

[16] Lijie Ji, Zhiguo Yang. Zhuoning Li, Dong Wu, Shi Jin, Zhenli Xu, An asymptotic-preserving and energy-conserving particle-in-cell method for Vlasov–Maxwell equations. Journal of Mathematical Physics, 64 (6), 2023.

[15] Zhiguo Yang, Li-Lian Wang, Yang Gao, A truly exact perfect absorbing layer for time-harmonic acoustic wave scattering problems. SIAM Journal of Scientific Computing,43 (2), A1027-A1061, 2021.

[14] Bo Wang, Zhiguo Yang, Li-Lian Wang, Shidong Jiang, On time-domain NRBC for Maxwell‘s equations and its application in electromagnetic invisibility cloaks. Journal of Scientific Computing,86 (2), 1-34, 2021.

[13]Yanxia Qian, Zhiguo Yang, Suchuan Dong,gPAV-based unconditionally energy-stable schemes for the Cahn-Hilliard equation: stability and error analysis. Computer Methods in Applied Mechanical Engineering, Vol 372, 113444, 2020.

[12] Fukeng Huang, Jie Shen, Zhiguo Yang (corr), A highly efficient and accurate new scalar auxiliary variable approach for gradient flows. SIAM Journal of Scientific Computing, Vol. 42(4), A2514-A2536, 2020.

[11] Lianlei Lin, Naxian Ni, Zhiguo Yang, Suchuan Dong, An energy-stable scheme for incompressible Navier-Stokes equations with periodically updated coefficient matrix. Journal of Computational Physics, Vol. 418, 109624 , 2020.

[10] Zhiguo Yang, Suchuan Dong, A roadmap for discretely energy-stable schemes for dissipative systems based on a generalized auxiliary variable with guaranteed positivity. Journal of Computational Physics, Vol. 404, 109-121, 2020.

[9] Zhiguo Yang, Suchuan Dong, An unconditionaly energy-stable scheme based on an implicit energy variable for incompressible two-phase flows of different densities involving only precomputable coefficient matrices. Journal of Computational Physics, Vol. 393, 229--257, 2019.

[8] Lianlei Lin, Zhiguo Yang, Suchuan Dong, Numerical approximation of incompressible Navier-Stokes equations based on an auxiliary energy variable. Journal of Computational Physics, Vol. 388, 1--22, 2019.

[7] Naxian Ni, Zhiguo Yang, Suchuan Dong, Energy-stable boundary conditions based on a quadratic form: applications to outflow/open-boundary problems in incompressible flows. Journal of Computational Physics, Vol. 391, 179--215, 2019.

[6] Zhiguo Yang, Lianlei Lin, Suchuan Dong, A family of second-order energy-stable schemes for Cahn–Hilliard type equations. Journal of Computational Physics, Vol. 383, 24--54, 2019.

[5] Lina Ma, Jie Shen, Li-Lian Wang, Zhiguo Yang, Wavenumber explicit analysis for time-harmonic Maxwell equations in a spherical shell and spectral approximations. IMA Journal of Numerical Analysis, Vol. 38(2), 810--851, 2018.

[4] Zhiguo Yang, Suchuan Dong. Multiphase flows of N immiscible incompressible fluids: An outflow/open boundary condition and algorithm. Journal of Computational Physics, Vol. 366, 33--70, 2018.

[3] Li-Lian Wang, Zhiguo Yang, A perfect absorbing layer for high-order simulation of wave scattering problems. Lecture Notes in Computational Science and Engineering, Vol 119, 81--101, 2017.

[2] Zhiguo Yang, Li-Lian Wang, Zhijian Rong, Bo Wang, Baile Zhang, Seamless integration of global Dirichlet-to-Neumann boundary condition and spectral elements for transformation electromagnetics. Computer Methods in Applied Mechanics and Engineering, Vol. 301, 137-163, 2016.

[1] Zhiguo Yang, Li-Lian Wang, Accurate simulation of circular and elliptic cylindrical invisibility cloaks. Communications in Computational Physics, Vol. 17, 822-849, 2015.