Reducing the Symmetric Matrix Eigenvalue Problem to Matrix Multiplications. - Shing-Tung Yau; Ya Yan Lu (SIAM J. Sci. Comput., 1993)

A Padé Approximation Method for Square Roots of Symmetric Positive Definite Matrices. - Ya Yan Lu (SIAM J. Matrix Anal. Appl., 1998)

Modeling photonic crystals by boundary integral equations and Dirichlet-to-Neumann maps. - Jianhua Yuan; Ya Yan Lu; Xavier Antoine (J. Comput. Phys., 2008)

Waveguide mode solver based on Neumann-to-Dirichlet operators and boundary integral equations. - Wangtao Lu; Ya Yan Lu (J. Comput. Phys., 2012)

Efficient high order waveguide mode solvers based on boundary integral equations. - Wangtao Lu; Ya Yan Lu (J. Comput. Phys., 2014)

Robust iterative method for nonlinear Helmholtz equation. - Lijun Yuan; Ya Yan Lu (J. Comput. Phys., 2017)

Perfectly Matched Layer Boundary Integral Equation Method for Wave Scattering in a Layered Medium. - Wangtao Lu; Ya Yan Lu; Jianliang Qian (SIAM J. Appl. Math., 2018)

A Numerical Mode Matching Method for Wave Scattering in a Layered Medium with a Stratified Inhomogeneity. - Wangtao Lu; Ya Yan Lu; Dawei Song (SIAM J. Sci. Comput., 2019)

Excitation of Bound States in the Continuum via Second Harmonic Generations. - Lijun Yuan; Ya Yan Lu (SIAM J. Appl. Math., 2020)

Computing diffraction anomalies as nonlinear eigenvalue problems. - Zitao Mai; Ya Yan Lu (CoRR, 2022)

An efficient method for calculating resonant modes in biperiodic photonic structures. - Nan Zhang; Ya Yan Lu (CoRR, 2024)