199 citations · 1.3k across the 122 of their papers we have counts for
7 papers · 1 filter
Fast algorithm for periodic density fitting for Bloch waves
Jianfeng Lu, Lexing Ying
We propose an efficient algorithm for density fitting of Bloch waves for Hamiltonian operators with periodic potential. The algorithm is based on column selection and random Fourie…
Sparsifying preconditioner for soliton calculations
Jianfeng Lu, Lexing Ying
We develop a robust and efficient method for soliton calculations for nonlinear Schrödinger equations. The method is based on the recently developed sparsifying preconditioner comb…
Multidimensional Butterfly Factorization
Yingzhou Li, Haizhao Yang, Lexing Ying
This paper introduces the multidimensional butterfly factorization as a data-sparse representation of multidimensional kernel matrices that satisfy the complementary low-rank prope…
SCDM-k: Localized orbitals for solids via selected columns of the density matrix
Anil Damle, Lin Lin, Lexing Ying
The recently developed selected columns of the density matrix (SCDM) method [J. Chem. Theory Comput. 11, 1463, 2015] is a simple, robust, efficient and highly parallelizable method…
Additive Sweeping Preconditioner for the Helmholtz Equation
Fei Liu, Lexing Ying
We introduce a new additive sweeping preconditioner for the Helmholtz equation based on the perfect matched layer (PML). This method divides the domain of interest into thin layers…
Recursive Sweeping Preconditioner for the 3D Helmholtz Equation
Fei Liu, Lexing Ying
This paper introduces the recursive sweeping preconditioner for the numerical solution of the Helmholtz equation in 3D. This is based on the earlier work of the sweeping preconditi…
Butterfly Factorization
Yingzhou Li, Haizhao Yang, Eileen Martin +2
The paper introduces the butterfly factorization as a data-sparse approximation for the matrices that satisfy a complementary low-rank property. The factorization can be constructe…