Zhiguo Yang
Applied and Computational Mathematics · Shanghai Jiao Tong University
Publications

Publications

Published journal articles and recent submitted work across scientific computing, wave propagation, plasma computation, liquid crystals, and moiré materials.

Featured Publications

A highly efficient and accurate divergence-free spectral method for the curl-curl equation in two and three dimensions

Lechang Qin, Changtao Sheng, Zhiguo Yang (corr).
SIAM Journal on Scientific Computing , 46(4), A2150–A2177, 2024.

An analytically-solvable, wave-form asymptotic-preserving and energy-conserving time-splitting scheme for Vlasov-Poisson equations in the quasi-neutral regime

Yuanxiang Huang, Zhiguo Yang (corr).
Journal of Computational Physics , 544, 114450, 2026.

Low-dimensional compact states in 3D moiré lattices

Zixuan Gao, Vladimir V. Konotop, Ruihan Peng, Zhenli Xu, Zhiguo Yang (co-corr), Fangwei Ye.
Nature Communications , 16, 6306, 2025.

A truly exact and optimal perfect absorbing layer for time-harmonic acoustic wave scattering problems

Zhiguo Yang , Li-Lian Wang, Yang Gao.
SIAM Journal on Scientific Computing , 43(2), A1027–A1061, 2021.

Published Journal Articles

2026
An analytically-solvable, wave-form asymptotic-preserving and energy-conserving time-splitting scheme for Vlasov–Poisson equations in the quasi-neutral regime.
Yuanxiang Huang, Zhiguo Yang (corr). Journal of Computational Physics , 544, 114450.
2025
Low-dimensional compact states in 3D moiré lattices.
Zixuan Gao, Vladimir V. Konotop, Ruihan Peng, Zhenli Xu, Zhiguo Yang (co-corr), Fangwei Ye. Nature Communications , 16, 6306.
2025
Highly efficient Gauss’s law-preserving spectral algorithms for Maxwell’s double-curl source and eigenvalue problems based on eigen-decomposition.
Sen Lin, Huiyuan Li, Zhiguo Yang (corr). CSIAM Transactions on Applied Mathematics , 6(3), 489–526.
2025
Reduced projection method for photonic moiré lattices.
Zixuan Gao, Zhenli Xu, Zhiguo Yang. Journal of Scientific Computing , 102, Article 8.
2024
A highly efficient and accurate divergence-free spectral method for the curl-curl equation in two and three dimensions.
Lechang Qin, Changtao Sheng, Zhiguo Yang (corr). SIAM Journal on Scientific Computing , 46(4), A2150–A2177.
2024
A second-order SO(3)-preserving and energy-stable scheme for orthonormal frame gradient flow model of biaxial nematic liquid crystals.
Hanbin Wang, Jie Xu, Zhiguo Yang (corr). Journal of Scientific Computing , 99, Article 75.
2024
A second-order length-preserving and unconditionally energy stable rotational discrete gradient method for Oseen–Frank gradient flows.
Jie Xu, Xiaotian Yang, Zhiguo Yang (corr). Communications in Computational Physics , 35(2), 369–394.
2023
An energy-conserving Fourier particle-in-cell method with asymptotic-preserving preconditioner for Vlasov–Ampère system with exact curl-free constraint.
Zhuoning Li, Zhenli Xu, Zhiguo Yang (corr). Journal of Computational Physics , 495, 112529.
2023
Pythagoras superposition principle for localized eigenstates of two-dimensional moiré lattices.
Zixuan Gao, Zhenli Xu, Zhiguo Yang. Physical Review A , 108, 013513.
2023
An asymptotic-preserving and energy-conserving particle-in-cell method for Vlasov–Maxwell equations.
Liujie Ji, Zhiguo Yang (co-corr), Zhuoning Li, Dong Wu, Shi Jin, Zhenli Xu. Journal of Mathematical Physics , 64, 063503.
2021
A truly exact and optimal perfect absorbing layer for time-harmonic acoustic wave scattering problems.
Zhiguo Yang, Li-Lian Wang, Yang Gao. SIAM Journal on Scientific Computing , 43(2), A1027–A1061.
2021
On time-domain NRBC for Maxwell’s equations and its application in electromagnetic invisibility cloaks.
Bo Wang, Zhiguo Yang, Li-Lian Wang, Shidong Jiang. Journal of Scientific Computing , 86(2), 1–34.
2020
gPAV-based unconditionally energy-stable schemes for the Cahn–Hilliard equation: stability and error analysis.
Yanxia Qian, Zhiguo Yang, Suchuan Dong. Computer Methods in Applied Mechanics and Engineering , 372, 113444.
2020
A highly efficient and accurate new scalar auxiliary variable approach for gradient flows.
Fukeng Huang, Jie Shen, Zhiguo Yang (corr). SIAM Journal on Scientific Computing , 42(4), A2514–A2536.
2020
An energy-stable scheme for incompressible Navier–Stokes equations with periodically updated coefficient matrix.
Lianlei Lin, Naxian Ni, Zhiguo Yang, Suchuan Dong. Journal of Computational Physics , 418, 109624.
2020
A roadmap for discretely energy-stable schemes for dissipative systems based on a generalized auxiliary variable with guaranteed positivity.
Zhiguo Yang, Suchuan Dong. Journal of Computational Physics , 404, 109121.
2019
An unconditionally energy-stable scheme based on an implicit energy variable for incompressible two-phase flows of different densities involving only precomputable coefficient matrices.
Zhiguo Yang, Suchuan Dong. Journal of Computational Physics , 393, 229–257.
2019
Numerical approximation of incompressible Navier–Stokes equations based on an auxiliary energy variable.
Lianlei Lin, Zhiguo Yang, Suchuan Dong. Journal of Computational Physics , 388, 1–22.
2019
Energy-stable boundary conditions based on a quadratic form: applications to outflow/open-boundary problems in incompressible flows.
Naxian Ni, Zhiguo Yang, Suchuan Dong. Journal of Computational Physics , 391, 179–215.
2019
A family of second-order energy-stable schemes for Cahn–Hilliard type equations.
Zhiguo Yang, Lianlei Lin, Suchuan Dong. Journal of Computational Physics , 383, 24–54.
2018
Wavenumber explicit analysis of spectral-Galerkin methods for time-harmonic Maxwell equations in exterior domains.
Lina Ma, Jie Shen, Li-Lian Wang, Zhiguo Yang. IMA Journal of Numerical Analysis , 38(2), 810–851.
2018
Multiphase flows of N immiscible incompressible fluids: an outflow/open boundary condition and algorithm.
Zhiguo Yang, Suchuan Dong. Journal of Computational Physics , 366, 33–70.
2017
A perfect absorbing layer for high-order simulation of wave scattering problems.
Li-Lian Wang, Zhiguo Yang. Lecture Notes in Computational Science and Engineering , 119, 81–101.
2016
Seamless integration of global Dirichlet-to-Neumann boundary condition and spectral elements for transformation electromagnetics.
Zhiguo Yang, Li-Lian Wang, Zhijian Rong, Bo Wang, Baile Zhang. Computer Methods in Applied Mechanics and Engineering , 301, 137–163.
2015
Accurate simulation of circular and elliptic cylindrical invisibility cloaks.
Zhiguo Yang, Li-Lian Wang. Communications in Computational Physics , 17, 822–849.

Submitted and Under Review

  • A highly efficient and accurate pointwise divergence-free spectral method for incompressible magnetohydrodynamic equations (Part I): Single-domain case. Submitted; minor revision, 2026.
  • A divergence-free projection method for quasiperiodic photonic crystals in three dimensions. Submitted; under revision, 2026.
  • A structure-preserving rotational discrete gradient method for the full Ericksen–Leslie model. Submitted, 2026.
  • A parameter-oriented time-splitting scheme with exact subflows for the multiscale relativistic Vlasov–Maxwell system. Submitted, 2026.
Publication Note

The published journal articles are listed in reverse chronological order, following the current CV. DOI, arXiv, or journal links can be added later if needed.