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## Ying, Lexing

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 Author ID: ying.lexing Published as: Ying, Lexing External Links: MGP · Wikidata
 Documents Indexed: 100 Publications since 2004
all top 5

#### Co-Authors

 12 single-authored 15 Lin, Lin 13 Lu, Jianfeng 11 Engquist, Bjorn E. 10 Demanet, Laurent 7 Fan, Yuwei 7 Ho, Kenneth L. 7 Yang, Haizhao 6 Damle, Anil 6 E, Weinan 6 Tsuji, Paul 5 Candès, Emmanuel J. 5 Minden, Victor 5 Poulson, Jack 4 Khoo, Yuehaw 4 Li, Yingzhou 3 Biros, George 3 Feliu-Fabà, Jordi 3 Qian, Jianliang 3 Zorin, Denis N. 2 Hu, Jingwei 2 Maxwell, Nicholas 2 Schmitz, Phillip G. 2 Yang, Chao 2 Zepeda-Núñez, Leonardo 1 An, Jing 1 Bao, Gang 1 Benson, Austin R. 1 Cai, Zhenning 1 Car, Roberto 1 Donoho, David Leigh 1 Ferrara, Matthew 1 Fomel, Sergey 1 Jiang, Shidong 1 Li, Siwei 1 Li, Wuchen 1 Li, Zhihan 1 Lindsey, Michael 1 Martin, Eileen R. 1 Meza, Juan C. 1 Orozco Bohorquez, Cindy 1 Ren, Bo 1 Tran, Kenneth 1 Xia, Jianlin 1 Xiu, Dongbin 1 Xu, Ze 1 Ye, Xin 1 Zhang, Hai
all top 5

#### Serials

 22 Journal of Computational Physics 20 Multiscale Modeling & Simulation 16 SIAM Journal on Scientific Computing 6 Communications in Mathematical Sciences 4 Journal of Scientific Computing 4 Research in the Mathematical Sciences 3 Communications on Pure and Applied Mathematics 3 Applied and Computational Harmonic Analysis 2 Mathematics of Computation 2 SIAM Journal on Imaging Sciences 1 ACM Transactions on Mathematical Software 1 Journal of Computational and Applied Mathematics 1 Numerische Mathematik 1 Chinese Annals of Mathematics. Series B 1 SIAM Journal on Matrix Analysis and Applications 1 Communications in Partial Differential Equations 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Foundations of Computational Mathematics 1 Acta Numerica 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Frontiers of Mathematics in China 1 Science China. Mathematics 1 International Journal for Uncertainty Quantification 1 Information and Inference 1 Annals of Mathematical Sciences and Applications
all top 5

#### Fields

 90 Numerical analysis (65-XX) 35 Partial differential equations (35-XX) 15 Optics, electromagnetic theory (78-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Computer science (68-XX) 7 Integral transforms, operational calculus (44-XX) 6 Quantum theory (81-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Information and communication theory, circuits (94-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral equations (45-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Probability theory and stochastic processes (60-XX) 3 Mechanics of deformable solids (74-XX) 3 Geophysics (86-XX) 3 Biology and other natural sciences (92-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Statistics (62-XX) 2 Fluid mechanics (76-XX) 2 Operations research, mathematical programming (90-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX)

#### Citations contained in zbMATH Open

86 Publications have been cited 1,196 times in 734 Documents Cited by Year
A kernel-independent adaptive fast multipole algorithm in two and three dimensions. Zbl 1053.65095
Ying, Lexing; Biros, George; Zorin, Denis
2004
Fast discrete curvelet transforms. Zbl 1122.65134
Candès, Emmanuel; Demanet, Laurent; Donoho, David; Ying, Lexing
2006
Sweeping preconditioner for the Helmholtz equation: moving perfectly matched layers. Zbl 1228.65234
Engquist, Björn; Ying, Lexing
2011
Sweeping preconditioner for the Helmholtz equation: hierarchical matrix representation. Zbl 1229.35037
Engquist, Björn; Ying, Lexing
2011
A high-order 3D boundary integral equation solver for elliptic PDEs in smooth domains. Zbl 1105.65115
Ying, Lexing; Biros, George; Zorin, Denis
2006
A fast solver for the Stokes equations with distributed forces in complex geometries. Zbl 1047.76065
Biros, George; Ying, Lexing; Zorin, Denis
2004
Fast directional multilevel algorithms for oscillatory kernels. Zbl 1180.65006
Engquist, Björn; Ying, Lexing
2007
A fast butterfly algorithm for the computation of Fourier integral operators. Zbl 1184.65125
Candès, Emmanuel; Demanet, Laurent; Ying, Lexing
2009
A fast direct solver for elliptic problems on general meshes in 2D. Zbl 1408.65022
Schmitz, Phillip G.; Ying, Lexing
2012
Hierarchical interpolative factorization for elliptic operators: differential equations. Zbl 1353.35142
Ho, Kenneth L.; Ying, Lexing
2016
Fast construction of hierarchical matrix representation from matrix-vector multiplication. Zbl 1218.65038
Lin, Lin; Lu, Jianfeng; Ying, Lexing
2011
Fast algorithm for extracting the diagonal of the inverse matrix with application to the electronic structure analysis of metallic systems. Zbl 1182.65072
Lin, Lin; Lu, Jianfeng; Ying, Lexing; Car, Roberto; E, Weinan
2009
Hierarchical interpolative factorization for elliptic operators: integral equations. Zbl 1344.65123
Ho, Kenneth L.; Ying, Lexing
2016
Fast Gaussian wavepacket transforms and Gaussian beams for the Schrödinger equation. Zbl 1197.65156
Qian, Jianliang; Ying, Lexing
2010
A parallel sweeping preconditioner for heterogeneous 3D Helmholtz equations. Zbl 1275.65073
Poulson, Jack; Engquist, Björn; Li, Siwei; Ying, Lexing
2013
Adaptive local basis set for Kohn-Sham density functional theory in a discontinuous Galerkin framework. I: Total energy calculation. Zbl 1251.82008
Lin, Lin; Lu, Jianfeng; Ying, Lexing; E, Weinan
2012
A fast directional algorithm for high frequency acoustic scattering in two dimensions. Zbl 1182.65178
Engquist, Björn; Ying, Lexing
2009
Wave atoms and sparsity of oscillatory patterns. Zbl 1132.68068
Demanet, Laurent; Ying, Lexing
2007
Fast computation of Fourier integral operators. Zbl 1157.65522
Candès, Emmanuel; Demanet, Laurent; Ying, Lexing
2007
Sparse Fourier transform via butterfly algorithm. Zbl 1207.65169
Ying, Lexing
2009
Fast multiscale Gaussian wavepacket transforms and multiscale Gaussian beams for the wave equation. Zbl 1223.65076
Qian, Jianliang; Ying, Lexing
2010
The phase flow method. Zbl 1110.65119
Ying, Lexing; Candès, Emmanuel J.
2006
Butterfly factorization. Zbl 1317.44004
Li, Yingzhou; Yang, Haizhao; Martin, Eileen R.; Ho, Kenneth L.; Ying, Lexing
2015
SelInv – an algorithm for selected inversion of a sparse symmetric matrix. Zbl 1365.65069
Lin, Lin; Yang, Chao; Meza, Juan C.; Lu, Jianfeng; Ying, Lexing; E, Weinan
2011
A fast spectral algorithm for the quantum Boltzmann collision operator. Zbl 1260.82068
Hu, Jingwei; Ying, Lexing
2012
A sweeping preconditioner for time-harmonic Maxwell’s equations with finite elements. Zbl 1251.78013
Tsuji, Paul; Engquist, Bjorn; Ying, Lexing
2012
Synchrosqueezed curvelet transform for two-dimensional mode decomposition. Zbl 1297.42053
Yang, Haizhao; Ying, Lexing
2014
A kernel independent fast multipole algorithm for radial basis functions. Zbl 1089.65018
Ying, Lexing
2006
A butterfly algorithm for synthetic aperture radar imaging. Zbl 1250.65033
Demanet, Laurent; Ferrara, Matthew; Maxwell, Nicholas; Poulson, Jack; Ying, Lexing
2012
Synchrosqueezed wave packet transform for 2D mode decomposition. Zbl 1282.65036
Yang, Haizhao; Ying, Lexing
2013
Sparsifying preconditioner for the Lippmann-Schwinger equation. Zbl 1317.65087
Ying, Lexing
2015
Fast geodesics computation with the phase flow method. Zbl 1110.65118
Ying, Lexing; Candès, Emmanuel J.
2006
A fast parallel algorithm for selected inversion of structured sparse matrices with application to 2D electronic structure calculations. Zbl 1230.65039
Lin, Lin; Yang, Chao; Lu, Jianfeng; Ying, Lexing; E, Weinan
2011
Discrete symbol calculus. Zbl 1210.65194
Demanet, Laurent; Ying, Lexing
2011
Pole-based approximation of the Fermi-Dirac function. Zbl 1188.41007
Lin, Lin; Lu, Jianfeng; Ying, Lexing; Weinan, E.
2009
Fast wave computation via Fourier integral operators. Zbl 1245.65140
Demanet, Laurent; Ying, Lexing
2012
Wave atoms and time upscaling of wave equations. Zbl 1179.65129
Demanet, Laurent; Ying, Lexing
2009
A parallel butterfly algorithm. Zbl 1290.65127
Poulson, Jack; Demanet, Laurent; Maxwell, Nicholas; Ying, Lexing
2014
Recursive sweeping preconditioner for the three-dimensional Helmholtz equation. Zbl 1376.65035
Liu, Fei; Ying, Lexing
2016
Second kind integral equations for the first kind Dirichlet problem of the biharmonic equation in three dimensions. Zbl 1252.65196
Jiang, Shidong; Ren, Bo; Tsuji, Paul; Ying, Lexing
2011
Sweeping preconditioners for elastic wave propagation with spectral element methods. Zbl 1423.74950
Tsuji, Paul; Poulson, Jack; Engquist, Björn; Ying, Lexing
2014
Crystal image analysis using 2D synchrosqueezed transforms. Zbl 1336.74016
Yang, Haizhao; Lu, Jianfeng; Ying, Lexing
2015
A recursive skeletonization factorization based on strong admissibility. Zbl 1365.65286
Minden, Victor; Ho, Kenneth L.; Ying, Lexing
2017
Optimized local basis set for Kohn-Sham density functional theory. Zbl 1250.82002
Lin, Lin; Lu, Jianfeng; Ying, Lexing; E, Weinan
2012
A sweeping preconditioner for Yee’s finite difference approximation of time-harmonic Maxwell’s equations. Zbl 1253.78049
Tsuji, Paul; Ying, Lexing
2012
Compression of the electron repulsion integral tensor in tensor hypercontraction format with cubic scaling cost. Zbl 1349.81020
Lu, Jianfeng; Ying, Lexing
2015
A multiscale butterfly algorithm for multidimensional Fourier integral operators. Zbl 1317.44005
Li, Yingzhou; Yang, Haizhao; Ying, Lexing
2015
Additive sweeping preconditioner for the Helmholtz equation. Zbl 1338.65077
Liu, Fei; Ying, Lexing
2016
Fast spatial Gaussian process maximum likelihood estimation via skeletonization factorizations. Zbl 1378.65092
Minden, Victor; Damle, Anil; Ho, Kenneth L.; Ying, Lexing
2017
A fast nested dissection solver for Cartesian 3D elliptic problems using hierarchical matrices. Zbl 1349.65598
Schmitz, Phillip G.; Ying, Lexing
2014
SCDM-k: localized orbitals for solids via selected columns of the density matrix. Zbl 1375.81255
Damle, Anil; Lin, Lin; Ying, Lexing
2017
Fast directional algorithms for the Helmholtz kernel. Zbl 1379.65103
Engquist, Björn; Ying, Lexing
2010
A technique for updating hierarchical skeletonization-based factorizations of integral operators. Zbl 1329.65317
Minden, Victor; Damle, Anil; Ho, Kenneth L.; Ying, Lexing
2016
Multidimensional butterfly factorization. Zbl 1390.44016
Li, Yingzhou; Yang, Haizhao; Ying, Lexing
2018
A fast algorithm for multilinear operators. Zbl 1247.65176
Yang, Haizhao; Ying, Lexing
2012
Scattering in flatland: Efficient representations via wave atoms. Zbl 1197.65192
Demanet, Laurent; Ying, Lexing
2010
Fast computation of partial Fourier transforms. Zbl 1186.65166
Ying, Lexing; Fomel, Sergey
2009
Fast directional computation of high frequency boundary integrals via local FFTs. Zbl 1317.65244
Ying, Lexing
2015
Sparsifying preconditioner for pseudospectral approximations of indefinite systems on periodic structures. Zbl 1317.65086
Ying, Lexing
2015
Recursively preconditioned hierarchical interpolative factorization for elliptic partial differential equations. Zbl 1437.65172
Feliu-Fabà, Jordi; Ho, Kenneth L.; Ying, Lexing
2020
A simple solver for the fractional Laplacian in multiple dimensions. Zbl 1437.65242
Minden, Victor; Ying, Lexing
2020
Distributed-memory hierarchical interpolative factorization. Zbl 1375.65141
Li, Yingzhou; Ying, Lexing
2017
A convergent multiscale Gaussian-beam parametrix for the wave equation. Zbl 1302.35485
Bao, Gang; Qian, Jianliang; Ying, Lexing; Zhang, Hai
2013
Directional preconditioner for 2D high frequency obstacle scattering. Zbl 1317.65245
Ying, Lexing
2015
Solving electrical impedance tomography with deep learning. Zbl 1453.65041
Fan, Yuwei; Ying, Lexing
2020
Fast algorithm for periodic density fitting for Bloch waves. Zbl 1381.65098
Lu, Jianfeng; Ying, Lexing
2016
Sparsify and sweep: an efficient preconditioner for the Lippmann-Schwinger equation. Zbl 1392.65035
Liu, Fei; Ying, Lexing
2018
SwitchNet: a neural Network Model for forward and inverse scattering problems. Zbl 1425.65208
Khoo, Yuehaw; Ying, Lexing
2019
A fast directional algorithm for high-frequency electromagnetic scattering. Zbl 1220.78049
Tsuji, Paul; Ying, Lexing
2011
Sparsifying preconditioner for soliton calculations. Zbl 1349.65606
Lu, Jianfeng; Ying, Lexing
2016
Convex relaxation approaches for strictly correlated density functional theory. Zbl 1423.49033
Khoo, Yuehaw; Ying, Lexing
2019
Adaptively compressed polarizability operator for accelerating large scale ab initio phonon calculations. Zbl 1369.82020
Lin, Lin; Xu, Ze; Ying, Lexing
2017
An entropic Fourier method for the Boltzmann equation. Zbl 1406.65093
Cai, Zhenning; Fan, Yuwei; Ying, Lexing
2018
Fast algorithms for high frequency wave propagation. Zbl 1248.65114
Engquist, Björn; Ying, Lexing
2012
A pedestrian introduction to fast multipole methods. Zbl 1259.65187
Ying, Lexing
2012
A multiscale neural network based on hierarchical matrices. Zbl 1435.65181
Fan, Yuwei; Lin, Lin; Ying, Lexing; Zepeda-Núñez, Leonardo
2019
A parallel directional fast multipole method. Zbl 1305.78017
Benson, Austin R.; Poulson, Jack; Tran, Kenneth; Engquist, Björn; Ying, Lexing
2014
Fast algorithms for boundary integral equations. Zbl 1159.65365
Ying, Lexing
2009
Mirror descent algorithms for minimizing interacting free energy. Zbl 1453.65145
Ying, Lexing
2020
Fast algorithms for integral formulations of steady-state radiative transfer equation. Zbl 1451.65234
Fan, Yuwei; An, Jing; Ying, Lexing
2019
BCR-net: A neural network based on the nonstandard wavelet form. Zbl 1451.65244
Fan, Yuwei; Orozco Bohorquez, Cindy; Ying, Lexing
2019
Pole expansion for solving a type of parametrized linear systems in electronic structure calculations. Zbl 1310.65047
Damle, Anil; Lin, Lin; Ying, Lexing
2014
Semidefinite relaxation of multimarginal optimal transport for strictly correlated electrons in second quantization. Zbl 1456.49037
Khoo, Yuehaw; Lin, Lin; Lindsey, Michael; Ying, Lexing
2020
Localized sparsifying preconditioner for periodic indefinite systems. Zbl 1369.65153
Liu, Fei; Ying, Lexing
2017
Computing localized representations of the Kohn-Sham subspace via randomization and refinement. Zbl 1382.82022
Damle, Anil; Lin, Lin; Ying, Lexing
2017
Hessian transport gradient flows. Zbl 1427.35282
Li, Wuchen; Ying, Lexing
2019
Recursively preconditioned hierarchical interpolative factorization for elliptic partial differential equations. Zbl 1437.65172
Feliu-Fabà, Jordi; Ho, Kenneth L.; Ying, Lexing
2020
A simple solver for the fractional Laplacian in multiple dimensions. Zbl 1437.65242
Minden, Victor; Ying, Lexing
2020
Solving electrical impedance tomography with deep learning. Zbl 1453.65041
Fan, Yuwei; Ying, Lexing
2020
Mirror descent algorithms for minimizing interacting free energy. Zbl 1453.65145
Ying, Lexing
2020
Semidefinite relaxation of multimarginal optimal transport for strictly correlated electrons in second quantization. Zbl 1456.49037
Khoo, Yuehaw; Lin, Lin; Lindsey, Michael; Ying, Lexing
2020
SwitchNet: a neural Network Model for forward and inverse scattering problems. Zbl 1425.65208
Khoo, Yuehaw; Ying, Lexing
2019
Convex relaxation approaches for strictly correlated density functional theory. Zbl 1423.49033
Khoo, Yuehaw; Ying, Lexing
2019
A multiscale neural network based on hierarchical matrices. Zbl 1435.65181
Fan, Yuwei; Lin, Lin; Ying, Lexing; Zepeda-Núñez, Leonardo
2019
Fast algorithms for integral formulations of steady-state radiative transfer equation. Zbl 1451.65234
Fan, Yuwei; An, Jing; Ying, Lexing
2019
BCR-net: A neural network based on the nonstandard wavelet form. Zbl 1451.65244
Fan, Yuwei; Orozco Bohorquez, Cindy; Ying, Lexing
2019
Hessian transport gradient flows. Zbl 1427.35282
Li, Wuchen; Ying, Lexing
2019
Multidimensional butterfly factorization. Zbl 1390.44016
Li, Yingzhou; Yang, Haizhao; Ying, Lexing
2018
Sparsify and sweep: an efficient preconditioner for the Lippmann-Schwinger equation. Zbl 1392.65035
Liu, Fei; Ying, Lexing
2018
An entropic Fourier method for the Boltzmann equation. Zbl 1406.65093
Cai, Zhenning; Fan, Yuwei; Ying, Lexing
2018
A recursive skeletonization factorization based on strong admissibility. Zbl 1365.65286
Minden, Victor; Ho, Kenneth L.; Ying, Lexing
2017
Fast spatial Gaussian process maximum likelihood estimation via skeletonization factorizations. Zbl 1378.65092
Minden, Victor; Damle, Anil; Ho, Kenneth L.; Ying, Lexing
2017
SCDM-k: localized orbitals for solids via selected columns of the density matrix. Zbl 1375.81255
Damle, Anil; Lin, Lin; Ying, Lexing
2017
Distributed-memory hierarchical interpolative factorization. Zbl 1375.65141
Li, Yingzhou; Ying, Lexing
2017
Adaptively compressed polarizability operator for accelerating large scale ab initio phonon calculations. Zbl 1369.82020
Lin, Lin; Xu, Ze; Ying, Lexing
2017
Localized sparsifying preconditioner for periodic indefinite systems. Zbl 1369.65153
Liu, Fei; Ying, Lexing
2017
Computing localized representations of the Kohn-Sham subspace via randomization and refinement. Zbl 1382.82022
Damle, Anil; Lin, Lin; Ying, Lexing
2017
Hierarchical interpolative factorization for elliptic operators: differential equations. Zbl 1353.35142
Ho, Kenneth L.; Ying, Lexing
2016
Hierarchical interpolative factorization for elliptic operators: integral equations. Zbl 1344.65123
Ho, Kenneth L.; Ying, Lexing
2016
Recursive sweeping preconditioner for the three-dimensional Helmholtz equation. Zbl 1376.65035
Liu, Fei; Ying, Lexing
2016
Additive sweeping preconditioner for the Helmholtz equation. Zbl 1338.65077
Liu, Fei; Ying, Lexing
2016
A technique for updating hierarchical skeletonization-based factorizations of integral operators. Zbl 1329.65317
Minden, Victor; Damle, Anil; Ho, Kenneth L.; Ying, Lexing
2016
Fast algorithm for periodic density fitting for Bloch waves. Zbl 1381.65098
Lu, Jianfeng; Ying, Lexing
2016
Sparsifying preconditioner for soliton calculations. Zbl 1349.65606
Lu, Jianfeng; Ying, Lexing
2016
Butterfly factorization. Zbl 1317.44004
Li, Yingzhou; Yang, Haizhao; Martin, Eileen R.; Ho, Kenneth L.; Ying, Lexing
2015
Sparsifying preconditioner for the Lippmann-Schwinger equation. Zbl 1317.65087
Ying, Lexing
2015
Crystal image analysis using 2D synchrosqueezed transforms. Zbl 1336.74016
Yang, Haizhao; Lu, Jianfeng; Ying, Lexing
2015
Compression of the electron repulsion integral tensor in tensor hypercontraction format with cubic scaling cost. Zbl 1349.81020
Lu, Jianfeng; Ying, Lexing
2015
A multiscale butterfly algorithm for multidimensional Fourier integral operators. Zbl 1317.44005
Li, Yingzhou; Yang, Haizhao; Ying, Lexing
2015
Fast directional computation of high frequency boundary integrals via local FFTs. Zbl 1317.65244
Ying, Lexing
2015
Sparsifying preconditioner for pseudospectral approximations of indefinite systems on periodic structures. Zbl 1317.65086
Ying, Lexing
2015
Directional preconditioner for 2D high frequency obstacle scattering. Zbl 1317.65245
Ying, Lexing
2015
Synchrosqueezed curvelet transform for two-dimensional mode decomposition. Zbl 1297.42053
Yang, Haizhao; Ying, Lexing
2014
A parallel butterfly algorithm. Zbl 1290.65127
Poulson, Jack; Demanet, Laurent; Maxwell, Nicholas; Ying, Lexing
2014
Sweeping preconditioners for elastic wave propagation with spectral element methods. Zbl 1423.74950
Tsuji, Paul; Poulson, Jack; Engquist, Björn; Ying, Lexing
2014
A fast nested dissection solver for Cartesian 3D elliptic problems using hierarchical matrices. Zbl 1349.65598
Schmitz, Phillip G.; Ying, Lexing
2014
A parallel directional fast multipole method. Zbl 1305.78017
Benson, Austin R.; Poulson, Jack; Tran, Kenneth; Engquist, Björn; Ying, Lexing
2014
Pole expansion for solving a type of parametrized linear systems in electronic structure calculations. Zbl 1310.65047
Damle, Anil; Lin, Lin; Ying, Lexing
2014
A parallel sweeping preconditioner for heterogeneous 3D Helmholtz equations. Zbl 1275.65073
Poulson, Jack; Engquist, Björn; Li, Siwei; Ying, Lexing
2013
Synchrosqueezed wave packet transform for 2D mode decomposition. Zbl 1282.65036
Yang, Haizhao; Ying, Lexing
2013
A convergent multiscale Gaussian-beam parametrix for the wave equation. Zbl 1302.35485
Bao, Gang; Qian, Jianliang; Ying, Lexing; Zhang, Hai
2013
A fast direct solver for elliptic problems on general meshes in 2D. Zbl 1408.65022
Schmitz, Phillip G.; Ying, Lexing
2012
Adaptive local basis set for Kohn-Sham density functional theory in a discontinuous Galerkin framework. I: Total energy calculation. Zbl 1251.82008
Lin, Lin; Lu, Jianfeng; Ying, Lexing; E, Weinan
2012
A fast spectral algorithm for the quantum Boltzmann collision operator. Zbl 1260.82068
Hu, Jingwei; Ying, Lexing
2012
A sweeping preconditioner for time-harmonic Maxwell’s equations with finite elements. Zbl 1251.78013
Tsuji, Paul; Engquist, Bjorn; Ying, Lexing
2012
A butterfly algorithm for synthetic aperture radar imaging. Zbl 1250.65033
Demanet, Laurent; Ferrara, Matthew; Maxwell, Nicholas; Poulson, Jack; Ying, Lexing
2012
Fast wave computation via Fourier integral operators. Zbl 1245.65140
Demanet, Laurent; Ying, Lexing
2012
Optimized local basis set for Kohn-Sham density functional theory. Zbl 1250.82002
Lin, Lin; Lu, Jianfeng; Ying, Lexing; E, Weinan
2012
A sweeping preconditioner for Yee’s finite difference approximation of time-harmonic Maxwell’s equations. Zbl 1253.78049
Tsuji, Paul; Ying, Lexing
2012
A fast algorithm for multilinear operators. Zbl 1247.65176
Yang, Haizhao; Ying, Lexing
2012
Fast algorithms for high frequency wave propagation. Zbl 1248.65114
Engquist, Björn; Ying, Lexing
2012
A pedestrian introduction to fast multipole methods. Zbl 1259.65187
Ying, Lexing
2012
Sweeping preconditioner for the Helmholtz equation: moving perfectly matched layers. Zbl 1228.65234
Engquist, Björn; Ying, Lexing
2011
Sweeping preconditioner for the Helmholtz equation: hierarchical matrix representation. Zbl 1229.35037
Engquist, Björn; Ying, Lexing
2011
Fast construction of hierarchical matrix representation from matrix-vector multiplication. Zbl 1218.65038
Lin, Lin; Lu, Jianfeng; Ying, Lexing
2011
SelInv – an algorithm for selected inversion of a sparse symmetric matrix. Zbl 1365.65069
Lin, Lin; Yang, Chao; Meza, Juan C.; Lu, Jianfeng; Ying, Lexing; E, Weinan
2011
A fast parallel algorithm for selected inversion of structured sparse matrices with application to 2D electronic structure calculations. Zbl 1230.65039
Lin, Lin; Yang, Chao; Lu, Jianfeng; Ying, Lexing; E, Weinan
2011
Discrete symbol calculus. Zbl 1210.65194
Demanet, Laurent; Ying, Lexing
2011
Second kind integral equations for the first kind Dirichlet problem of the biharmonic equation in three dimensions. Zbl 1252.65196
Jiang, Shidong; Ren, Bo; Tsuji, Paul; Ying, Lexing
2011
A fast directional algorithm for high-frequency electromagnetic scattering. Zbl 1220.78049
Tsuji, Paul; Ying, Lexing
2011
Fast Gaussian wavepacket transforms and Gaussian beams for the Schrödinger equation. Zbl 1197.65156
Qian, Jianliang; Ying, Lexing
2010
Fast multiscale Gaussian wavepacket transforms and multiscale Gaussian beams for the wave equation. Zbl 1223.65076
Qian, Jianliang; Ying, Lexing
2010
Fast directional algorithms for the Helmholtz kernel. Zbl 1379.65103
Engquist, Björn; Ying, Lexing
2010
Scattering in flatland: Efficient representations via wave atoms. Zbl 1197.65192
Demanet, Laurent; Ying, Lexing
2010
A fast butterfly algorithm for the computation of Fourier integral operators. Zbl 1184.65125
Candès, Emmanuel; Demanet, Laurent; Ying, Lexing
2009
Fast algorithm for extracting the diagonal of the inverse matrix with application to the electronic structure analysis of metallic systems. Zbl 1182.65072
Lin, Lin; Lu, Jianfeng; Ying, Lexing; Car, Roberto; E, Weinan
2009
A fast directional algorithm for high frequency acoustic scattering in two dimensions. Zbl 1182.65178
Engquist, Björn; Ying, Lexing
2009
Sparse Fourier transform via butterfly algorithm. Zbl 1207.65169
Ying, Lexing
2009
Pole-based approximation of the Fermi-Dirac function. Zbl 1188.41007
Lin, Lin; Lu, Jianfeng; Ying, Lexing; Weinan, E.
2009
Wave atoms and time upscaling of wave equations. Zbl 1179.65129
Demanet, Laurent; Ying, Lexing
2009
Fast computation of partial Fourier transforms. Zbl 1186.65166
Ying, Lexing; Fomel, Sergey
2009
Fast algorithms for boundary integral equations. Zbl 1159.65365
Ying, Lexing
2009
Fast directional multilevel algorithms for oscillatory kernels. Zbl 1180.65006
Engquist, Björn; Ying, Lexing
2007
Wave atoms and sparsity of oscillatory patterns. Zbl 1132.68068
Demanet, Laurent; Ying, Lexing
2007
Fast computation of Fourier integral operators. Zbl 1157.65522
Candès, Emmanuel; Demanet, Laurent; Ying, Lexing
2007
Fast discrete curvelet transforms. Zbl 1122.65134
Candès, Emmanuel; Demanet, Laurent; Donoho, David; Ying, Lexing
2006
A high-order 3D boundary integral equation solver for elliptic PDEs in smooth domains. Zbl 1105.65115
Ying, Lexing; Biros, George; Zorin, Denis
2006
The phase flow method. Zbl 1110.65119
Ying, Lexing; Candès, Emmanuel J.
2006
A kernel independent fast multipole algorithm for radial basis functions. Zbl 1089.65018
Ying, Lexing
2006
Fast geodesics computation with the phase flow method. Zbl 1110.65118
Ying, Lexing; Candès, Emmanuel J.
2006
A kernel-independent adaptive fast multipole algorithm in two and three dimensions. Zbl 1053.65095
Ying, Lexing; Biros, George; Zorin, Denis
2004
A fast solver for the Stokes equations with distributed forces in complex geometries. Zbl 1047.76065
Biros, George; Ying, Lexing; Zorin, Denis
2004
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#### Cited by 1,108 Authors

 56 Ying, Lexing 19 Lu, Jianfeng 19 Yang, Haizhao 18 Darve, Eric 17 Lin, Lin 14 Biros, George 14 Gander, Martin Jakob 12 Greengard, Leslie F. 12 Qian, Jianliang 11 Demanet, Laurent 10 Martinsson, Per-Gunnar 10 Tornberg, Anna-Karin 9 Barnett, Alex H. 9 Jiang, Shidong 9 Leung, Shingyu 9 Xia, Jianlin 9 Zorin, Denis N. 8 de Hoop, Maarten V. 8 Gillman, Adrianna 8 Ho, Kenneth L. 8 Li, Yingzhou 8 Saad, Yousef 7 Cai, Wei 7 Quaife, Bryan D. 7 Runborg, Olof 7 Veerapaneni, Shravan Kumar 7 Wei, Guowei 7 Zepeda-Núñez, Leonardo 6 Bao, Gang 6 Damle, Anil 6 Fan, Yuwei 6 Grohs, Philipp 6 Keyes, David Elliot 6 Melenk, Jens Markus 6 Xing, Xin 6 You, Guoqiao 5 Börm, Steffen 5 Bremer, James C. 5 Chow, Edmond G. W. 5 Daubechies, Ingrid Chantal 5 E, Weinan 5 Geuzaine, Christophe A. 5 Helsing, Johan 5 Hu, Guanghui 5 Hu, Jingwei 5 Kutyniok, Gitta 5 Labate, Demetrio 5 Li, Xiaoye Sherry 5 Pérez-Arancibia, Carlos 5 Rachh, Manas 5 Rahimian, Abtin 5 Shelley, Michael J. 5 Spence, Euan A. 5 Stolk, Christiaan C. 5 Tsuji, Paul 5 Xi, Yuanzhe 5 Zhang, Hui 5 Zhao, Hongkai 4 Ambikasaran, Sivaram 4 Bonnet, Marc 4 Bui-Thanh, Tan 4 Calo, Victor Manuel 4 Chaillat, Stéphanie 4 Chen, Duan 4 Cordero, Elena 4 Dolean, Victorita 4 Engquist, Bjorn E. 4 Ghattas, Omar N. 4 Ghysels, Pieter 4 Graham, Ivan G. 4 Hu, Qiya 4 Huang, Jingfang 4 Jin, Shi 4 Klöckner, Andreas 4 Levitt, Antoine 4 Minden, Victor 4 Nicola, Fabio 4 Oseledets, Ivan V. 4 Pardo, David 4 Paszyński, Maciej 4 Plonka, Gerlind 4 Rouet, François-Henry 4 Steidl, Gabriele 4 Turc, Catalin 4 Turkiyyah, George M. 4 Vuik, Cornelis 4 Xu, Zhenli 4 Yang, Xu 4 Ying, Wenjun 4 Zhuang, Xiaosheng 3 Alger, Nick 3 Andersson, Fredrik K. 3 Antoine, Xavier 3 Balakrishnan, Venkataramanan 3 Beale, J. Thomas 3 Bermejo-Moreno, Iván 3 Burridge, Robert 3 Calandra, Henri 3 Cambier, Léopold 3 Cauley, Stephen ...and 1,008 more Authors
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#### Cited in 119 Serials

 176 Journal of Computational Physics 79 SIAM Journal on Scientific Computing 46 Applied and Computational Harmonic Analysis 29 Journal of Scientific Computing 29 Multiscale Modeling & Simulation 20 Computers & Mathematics with Applications 17 Advances in Computational Mathematics 15 SIAM Journal on Matrix Analysis and Applications 15 Engineering Analysis with Boundary Elements 13 Computer Methods in Applied Mechanics and Engineering 12 Mathematics of Computation 12 Journal of Computational and Applied Mathematics 11 Numerische Mathematik 11 Numerical Linear Algebra with Applications 9 International Journal of Wavelets, Multiresolution and Information Processing 8 Journal of Fluid Mechanics 8 SIAM Journal on Numerical Analysis 7 BIT 7 SIAM Journal on Imaging Sciences 6 International Journal for Numerical Methods in Engineering 6 Numerical Algorithms 6 The Journal of Fourier Analysis and Applications 6 Research in the Mathematical Sciences 5 Applied Numerical Mathematics 5 Computational Mechanics 5 Acta Numerica 4 Communications on Pure and Applied Mathematics 4 Inverse Problems 4 Wave Motion 4 Journal of Mathematical Imaging and Vision 4 Foundations of Computational Mathematics 4 Science China. Mathematics 3 Computers and Fluids 3 ACM Transactions on Mathematical Software 3 Signal Processing 3 International Journal of Computer Mathematics 3 SIAM Journal on Applied Mathematics 3 SIAM Journal on Mathematical Analysis 3 Mathematical Problems in Engineering 3 Computational Geosciences 2 Applicable Analysis 2 Computer Physics Communications 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Physics 2 Applied Mathematics and Computation 2 Information Sciences 2 Journal of Approximation Theory 2 Chinese Annals of Mathematics. Series B 2 Computer Aided Geometric Design 2 Multidimensional Systems and Signal Processing 2 Pattern Recognition 2 SIAM Review 2 Computational Statistics and Data Analysis 2 Differential Equations and Dynamical Systems 2 Computational Methods in Applied Mathematics 2 Sādhanā 2 Inverse Problems in Science and Engineering 2 Frontiers of Mathematics in China 2 Journal of Pseudo-Differential Operators and Applications 2 SIAM/ASA Journal on Uncertainty Quantification 1 Journal of Engineering Mathematics 1 Mathematical Methods in the Applied Sciences 1 Rocky Mountain Journal of Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Functional Analysis 1 Results in Mathematics 1 SIAM Journal on Control and Optimization 1 Transactions of the American Mathematical Society 1 ACM Transactions on Graphics 1 Constructive Approximation 1 Statistical Science 1 Revista Matemática Iberoamericana 1 COMPEL 1 Journal of the American Mathematical Society 1 Mathematical and Computer Modelling 1 Neural Computation 1 Differential Geometry and its Applications 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Applied Mathematical Modelling 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 Archive of Applied Mechanics 1 Journal of Nonlinear Science 1 Computational Optimization and Applications 1 Communications in Numerical Methods in Engineering 1 Physics of Fluids 1 ETNA. Electronic Transactions on Numerical Analysis 1 Discrete and Continuous Dynamical Systems 1 Computing and Visualization in Science 1 Abstract and Applied Analysis 1 Mathematical Methods of Operations Research 1 Chaos 1 Communications in Nonlinear Science and Numerical Simulation 1 Annales Henri Poincaré 1 Advances in Difference Equations 1 Oberwolfach Reports 1 Boundary Value Problems 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis ...and 19 more Serials
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#### Cited in 44 Fields

 559 Numerical analysis (65-XX) 236 Partial differential equations (35-XX) 84 Optics, electromagnetic theory (78-XX) 82 Fluid mechanics (76-XX) 65 Information and communication theory, circuits (94-XX) 63 Computer science (68-XX) 62 Harmonic analysis on Euclidean spaces (42-XX) 42 Mechanics of deformable solids (74-XX) 34 Statistical mechanics, structure of matter (82-XX) 30 Statistics (62-XX) 29 Quantum theory (81-XX) 26 Approximations and expansions (41-XX) 25 Integral equations (45-XX) 24 Linear and multilinear algebra; matrix theory (15-XX) 20 Biology and other natural sciences (92-XX) 16 Geophysics (86-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 13 Dynamical systems and ergodic theory (37-XX) 12 Probability theory and stochastic processes (60-XX) 12 Operations research, mathematical programming (90-XX) 11 Integral transforms, operational calculus (44-XX) 10 Potential theory (31-XX) 9 Ordinary differential equations (34-XX) 8 Mechanics of particles and systems (70-XX) 7 Operator theory (47-XX) 6 Functional analysis (46-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Systems theory; control (93-XX) 5 Special functions (33-XX) 3 Real functions (26-XX) 3 Difference and functional equations (39-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Functions of a complex variable (30-XX) 2 Manifolds and cell complexes (57-XX) 1 Mathematical logic and foundations (03-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Abstract harmonic analysis (43-XX) 1 Differential geometry (53-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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