Math @ Duke

Papers Published
 Lu, J; Steinerberger, S, Optimal Trapping for Brownian Motion: a Nonlinear Analogue of the Torsion Function,
Potential Analysis, vol. 54 no. 4
(April, 2021),
pp. 687698 [doi] [abs]
 Thicke, K; Watson, AB; Lu, J, Computing edge states without hard truncation,
Siam Journal on Scientific Computing, vol. 43 no. 2
(March, 2021),
pp. B323B353 [doi] [abs]
 Stubbs, KD; Watson, AB; Lu, J, Iterated projected position algorithm for constructing exponentially localized generalized Wannier functions for periodic and nonperiodic insulators in two dimensions and higher,
Physical Review B, vol. 103 no. 7
(February, 2021) [doi] [abs]
 Lu, J; Otto, F, Optimal Artificial Boundary Condition for Random Elliptic Media,
Foundations of Computational Mathematics
(January, 2021) [doi] [abs]
 Han, J; Lu, J; Zhou, M, Solving highdimensional eigenvalue problems using deep neural networks: A diffusion Monte Carlo like approach,
Journal of Computational Physics, vol. 423
(December, 2020) [doi] [abs]
 Lu, J; Lu, Y; Zhou, Z, Continuum limit and preconditioned Langevin sampling of the path integral molecular dynamics,
Journal of Computational Physics, vol. 423
(December, 2020) [doi] [abs]
 Sen, D; Sachs, M; Lu, J; Dunson, DB, Efficient posterior sampling for highdimensional imbalanced logistic regression.,
Biometrika, vol. 107 no. 4
(December, 2020),
pp. 10051012, Oxford University Press (OUP) [doi] [abs]
 Cai, Z; Lu, J; Yang, S, Inchworm Monte Carlo Method for Open Quantum Systems,
Communications on Pure and Applied Mathematics, vol. 73 no. 11
(November, 2020),
pp. 24302472 [doi] [abs]
 Yu, VWZ; Campos, C; Dawson, W; García, A; Havu, V; Hourahine, B; Huhn, WP; Jacquelin, M; Jia, W; Keçeli, M; Laasner, R; Li, Y; Lin, L; Lu, J; Moussa, J; Roman, JE; VázquezMayagoitia, Á; Yang, C; Blum, V, ELSI — An open infrastructure for electronic structure solvers,
Computer Physics Communications, vol. 256
(November, 2020),
pp. 107459107459, Elsevier BV [doi] [abs]
 Lu, J; Steinerberger, S, Synchronization of Kuramoto oscillators in dense networks,
Nonlinearity, vol. 33 no. 11
(November, 2020),
pp. 59055918 [doi] [abs]
 Li, Y; Cheng, X; Lu, J, Butterflynet: Optimal function representation based on convolutional neural networks,
Communications in Computational Physics, vol. 28 no. 5
(November, 2020),
pp. 18381885, Global Science Press [doi] [abs]
 Li, Y; Lu, J, Optimal Orbital Selection for Full Configuration Interaction (OptOrbFCI): Pursuing the Basis Set Limit under a Budget.,
Journal of Chemical Theory and Computation, vol. 16 no. 10
(October, 2020),
pp. 62076221 [doi] [abs]
 Li, W; Lu, J; Wang, L, Fisher information regularization schemes for Wasserstein gradient flows,
Journal of Computational Physics, vol. 416
(September, 2020) [doi] [abs]
 Gao, Y; Liu, JG; Lu, J; Marzuola, JL, Analysis of a continuum theory for broken bond crystal surface models with evaporation and deposition effects,
Nonlinearity, vol. 33 no. 8
(August, 2020),
pp. 38163845 [doi] [abs]
 Ge, R; Lee, H; Lu, J, Estimating normalizing constants for logconcave distributions: Algorithms and lower bounds,
Proceedings of the Annual Acm Symposium on Theory of Computing
(June, 2020),
pp. 579586 [doi] [abs]
 Nishimura, A; Dunson, DB; Lu, J, Discontinuous Hamiltonian Monte Carlo for discrete parameters and discontinuous likelihoods,
Biometrika, vol. 107 no. 2
(June, 2020),
pp. 365380 [doi] [abs]
 Li, Y; Lu, J; Mao, A, Variational training of neural network approximations of solution maps for physical models,
Journal of Computational Physics, vol. 409
(May, 2020),
pp. 109338109338, Elsevier BV [doi] [abs]
 Lu, J; Sachs, M; Steinerberger, S, Quadrature Points via Heat Kernel Repulsion,
Constructive Approximation, vol. 51 no. 1
(February, 2020),
pp. 2748 [doi] [abs]
 Lu, J; Steinerberger, S, A dimensionfree hermitehadamard inequality via gradient estimates for the torsion function,
Proceedings of the American Mathematical Society, vol. 148 no. 2
(January, 2020),
pp. 673679 [doi] [abs]
 Chen, K; Li, Q; Lu, J; Wright, SJ, Randomized sampling for basis function construction in generalized finite element methods,
Multiscale Modeling & Simulation, vol. 18 no. 2
(January, 2020),
pp. 11531177, Society for Industrial & Applied Mathematics (SIAM) [doi] [abs]
 Lu, J; Wang, Z, The full configuration interaction quantum monte carlo method through the lens of inexact power iteration,
Siam Journal on Scientific Computing, vol. 42 no. 1
(January, 2020),
pp. B1B29 [doi] [abs]
 Li, L; Li, Y; Liu, JG; Liu, Z; Lu, J, A stochastic version of stein variational gradient descent for efficient sampling,
Communications in Applied Mathematics and Computational Science, vol. 15 no. 1
(January, 2020),
pp. 3763, Mathematical Sciences Publishers [doi] [abs]
 Lu, J; Watson, AB; Weinstein, MI, Dirac operators and domain walls,
Siam Journal on Mathematical Analysis, vol. 52 no. 2
(January, 2020),
pp. 11151145 [doi] [abs]
 CHEN, Z; LI, Y; LU, J, Tensor ring decomposition: Optimization landscape and oneloop convergence of alternating least squares,
Siam Journal on Matrix Analysis and Applications, vol. 41 no. 3
(January, 2020),
pp. 14161442, Society for Industrial & Applied Mathematics (SIAM) [doi] [abs]
 Chen, K; Li, Q; Lu, J; Wright, SJ, Random sampling and efficient algorithms for multiscale pdes,
Siam Journal on Scientific Computing, vol. 42 no. 5
(January, 2020),
pp. A2974A3005 [doi] [abs]
 Khoo, Y; Lu, J; Ying, L, Solving parametric PDE problems with artificial neural networks,
European Journal of Applied Mathematics
(January, 2020) [doi] [abs]
 An, J; Lu, J; Ying, L, Stochastic modified equations for the asynchronous stochastic gradient descent,
Information and Inference, vol. 9 no. 4
(January, 2020),
pp. 851873 [doi] [abs]
 Cheng, C; Daubechies, I; Dym, N; Lu, J, Stable Phase Retrieval from Locally Stable and Conditionally Connected Measurements.,
Corr, vol. abs/2006.11709
(2020)
 Agazzi, A; Lu, J, Global optimality of softmax policy gradient with single hidden layer neural networks in the meanfield regime.,
Corr, vol. abs/2010.11858
(2020)
 Chen, H; Li, Q; Lu, J, A numerical method for coupling the BGK model and Euler equations through the linearized Knudsen layer,
Journal of Computational Physics, vol. 398
(December, 2019) [doi] [abs]
 Lu, J; Sogge, CD; Steinerberger, S, Approximating pointwise products of Laplacian eigenfunctions,
Journal of Functional Analysis, vol. 277 no. 9
(November, 2019),
pp. 32713282 [doi] [abs]
 Cao, Y; Lu, J; Lu, Y, Exponential Decay of Rényi Divergence Under Fokker–Planck Equations,
Journal of Statistical Physics, vol. 176 no. 5
(September, 2019),
pp. 11721184 [doi] [abs]
 Wang, Z; Li, Y; Lu, J, Coordinate Descent Full Configuration Interaction.,
Journal of Chemical Theory and Computation, vol. 15 no. 6
(June, 2019),
pp. 35583569 [doi] [abs]
 Liu, JG; Lu, J; Margetis, D; Marzuola, JL, Asymmetry in crystal facet dynamics of homoepitaxy by a continuum model,
Physica D: Nonlinear Phenomena, vol. 393
(June, 2019),
pp. 5467 [doi] [abs]
 Cao, Y; Lu, J; Lu, Y, Gradient flow structure and exponential decay of the sandwiched Rényi divergence for primitive Lindblad equations with GNSdetailed balance,
Journal of Mathematical Physics, vol. 60 no. 5
(May, 2019),
pp. 052202052202, AIP Publishing [doi] [abs]
 Lin, L; Lu, J; Ying, L, Numerical methods for KohnSham density functional theory,
Acta Numerica, vol. 28
(May, 2019),
pp. 405539 [doi] [abs]
 Yu, V; Dawson, W; Garcia, A; Havu, V; Hourahine, B; Huhn, W; Jacquelin, M; Jia, W; Keceli, M; Laasner, R; Li, Y; Lin, L; Lu, J; Roman, J; VazquezMayagoitia, A; Yang, C; Blum, V, Largescale benchmark of electronic structure solvers with the ELSI infrastructure,
Abstracts of Papers of the American Chemical Society, vol. 257
(March, 2019),
pp. 1 pages, AMER CHEMICAL SOC
 Lu, J; VandenEijnden, E, Methodological and Computational Aspects of Parallel Tempering Methods in the Infinite Swapping Limit,
Journal of Statistical Physics, vol. 174 no. 3
(February, 2019),
pp. 715733 [doi] [abs]
 Li, Y; Lu, J, Bold diagrammatic Monte Carlo in the lens of stochastic iterative methods,
Transactions of Mathematics and Its Applications, vol. 3 no. 1
(February, 2019),
pp. 117, Oxford University Press (OUP) [doi] [abs]
 Martinsson, A; Lu, J; Leimkuhler, B; VandenEijnden, E, The simulated tempering method in the infinite switch limit with adaptive weight learning,
Journal of Statistical Mechanics: Theory and Experiment, vol. 2019 no. 1
(January, 2019),
pp. 013207013207, IOP Publishing [doi] [abs]
 Huang, H; Liu, JG; Lu, J, Learning interacting particle systems: Diffusion parameter estimation for aggregation equations,
Mathematical Models and Methods in Applied Sciences, vol. 29 no. 1
(January, 2019),
pp. 129 [doi] [abs]
 Gauckler, L; Lu, J; Marzuola, JL; Rousset, F; Schratz, K, Trigonometric integrators for quasilinear wave equations,
Mathematics of Computation, vol. 88 no. 316
(January, 2019),
pp. 717749, American Mathematical Society (AMS) [doi] [abs]
 Yingzhou, LI; Jianfeng, LU; Wang, AZHE, Coordinatewise descent methods for leading eigenvalue problem,
Siam Journal on Scientific Computing, vol. 41 no. 4
(January, 2019),
pp. A2681A2716, Society for Industrial & Applied Mathematics (SIAM) [doi] [abs]
 Cao, Y; Lu, J, Tensorization of the strong data processing inequality for quantum chisquare divergences,
Quantum, vol. 3
(January, 2019) [doi] [abs]
 Nolen, JH; Lu, J; Lu, Y, Scaling limit of the Stein variational gradient descent: the mean field regime,
Siam Journal on Mathematical Analysis, vol. 51 no. 2
(2019),
pp. 648671, Society for Industrial and Applied Mathematics [doi] [abs]
 Agazzi, A; Lu, J, Temporaldifference learning for nonlinear value function approximation in the lazy training regime.,
Corr, vol. abs/1905.10917
(2019)
 Cao, Y; Lu, J, Stochastic dynamical lowrank approximation method,
Journal of Computational Physics, vol. 372
(November, 2018),
pp. 564586, Elsevier BV [doi] [abs]
 Chen, H; Lu, J; Ortner, C, Thermodynamic Limit of Crystal Defects with Finite Temperature Tight Binding,
Archive for Rational Mechanics and Analysis, vol. 230 no. 2
(November, 2018),
pp. 701733, Springer Nature America, Inc [doi] [abs]
 Li, X; Liu, J; Lu, J; Zhou, X, Moderate deviation for random elliptic PDE with small noise,
The Annals of Applied Probability, vol. 28 no. 5
(October, 2018),
pp. 27812813, Institute of Mathematical Statistics [doi] [abs]
 Lu, J; Steinerberger, S, Detecting localized eigenstates of linear operators,
Research in Mathematical Sciences, vol. 5 no. 3
(September, 2018), Springer Science and Business Media LLC [doi] [abs]
 Barthel, T; Lu, J, Fundamental Limitations for Measurements in Quantum ManyBody Systems,
Physical Review Letters, vol. 121 no. 8
(August, 2018),
pp. 080406 [doi] [abs]
 Huang, Y; Lu, J; Ming, P, A Concurrent Global–Local Numerical Method for Multiscale PDEs,
Journal of Scientific Computing, vol. 76 no. 2
(August, 2018),
pp. 11881215, Springer Nature [doi] [abs]
 You, Z; Li, L; Lu, J; Ge, H, Integrated tempering enhanced sampling method as the infinite switching limit of simulated tempering.,
The Journal of Chemical Physics, vol. 149 no. 8
(August, 2018),
pp. 084114 [doi] [abs]
 Lin, L; Lu, J; VandenEijnden, E, A Mathematical Theory of Optimal Milestoning (with a Detour via Exact Milestoning),
Communications on Pure and Applied Mathematics, vol. 71 no. 6
(June, 2018),
pp. 11491177, WILEY [doi] [abs]
 Yu, V; Huhn, W; Lin, L; Lu, J; VazquezMayagoitia, A; Yang, C; Blum, V, ELSI: A unified software interface for KohnSham electronic structure solvers,
Abstracts of Papers of the American Chemical Society, vol. 255
(March, 2018),
pp. 1 pages, AMER CHEMICAL SOC
 Lu, J; Zhou, Z, Accelerated sampling by infinite swapping of path integral molecular dynamics with surface hopping.,
The Journal of Chemical Physics, vol. 148 no. 6
(February, 2018),
pp. 064110 [doi] [abs]
 Cai, Z; Lu, J, A quantum kinetic monte carlo method for quantum manybody spin dynamics,
Siam Journal on Scientific Computing, vol. 40 no. 3
(January, 2018),
pp. B706B722, Society for Industrial & Applied Mathematics (SIAM) [doi] [abs]
 Lu, J; Yang, H, Phasespace sketching for crystal image analysis based on synchrosqueezed transforms,
Siam Journal on Imaging Sciences, vol. 11 no. 3
(January, 2018),
pp. 19541978, Society for Industrial & Applied Mathematics (SIAM) [doi] [abs]
 Delgadillo, R; Lu, J; Yang, X, Frozen Gaussian approximation for high frequency wave propagation in periodic media,
Asymptotic Analysis, vol. 110 no. 34
(January, 2018),
pp. 113135, IOS Press [doi] [abs]
 Yu, VWZ; Corsetti, F; García, A; Huhn, WP; Jacquelin, M; Jia, W; Lange, B; Lin, L; Lu, J; Mi, W; Seifitokaldani, A; VázquezMayagoitia, Á; Yang, C; Yang, H; Blum, V, ELSI: A unified software interface for Kohn–Sham electronic structure solvers,
Computer Physics Communications, vol. 222
(January, 2018),
pp. 267285, Elsevier BV [doi] [abs]
 Lu, J; Zhou, Z, Frozen gaussian approximation with surface hopping for mixed quantumclassical dynamics: A mathematical justification of fewest switches surface hopping algorithms,
Mathematics of Computation, vol. 87 no. 313
(January, 2018),
pp. 21892232, American Mathematical Society (AMS) [doi] [abs]
 Du, Q; Li, XH; Lu, J; Tian, X, A quasinonlocal coupling method for nonlocal and local diffusion models,
Siam Journal on Numerical Analysis, vol. 56 no. 3
(January, 2018),
pp. 13861404, Society for Industrial & Applied Mathematics (SIAM) [doi] [abs]
 Dai, S; Li, B; Lu, J, Convergence of PhaseField Free Energy and Boundary Force for Molecular Solvation,
Archive for Rational Mechanics and Analysis, vol. 227 no. 1
(January, 2018),
pp. 105147, Springer Nature [doi] [abs]
 Cai, Z; Lu, J, A surface hopping Gaussian beam method for highdimensional transport systems,
Siam Journal on Scientific Computing, vol. 40 no. 5
(January, 2018),
pp. B1277B1301, Society for Industrial & Applied Mathematics (SIAM) [doi] [abs]
 Lai, R; Lu, J, Point cloud discretization of Fokkerplanck operators for committor functions,
Multiscale Modeling & Simulation, vol. 16 no. 2
(January, 2018),
pp. 710726, Society for Industrial & Applied Mathematics (SIAM) [doi] [abs]
 Lu, J; Spiliopoulos, K, Analysis of multiscale integrators for multiple attractors and irreversible langevin samplers,
Multiscale Modeling & Simulation, vol. 16 no. 4
(January, 2018),
pp. 18591883, Society for Industrial & Applied Mathematics (SIAM) [doi] [abs]
 Fang, D; Lu, J, A diabatic surface hopping algorithm based on time dependent perturbation theory and semiclassical analysis,
Multiscale Modeling & Simulation, vol. 16 no. 4
(January, 2018),
pp. 16031622, Society for Industrial & Applied Mathematics (SIAM) [doi] [abs]
 Zhu, W; Qiu, Q; Wang, B; Lu, J; Sapiro, G; Daubechies, I, Stop memorizing: A datadependent regularization framework for intrinsic pattern learning.,
Corr, vol. abs/1805.07291
(2018),
pp. 476496
 Lu, J; Thicke, K, Cubic scaling algorithms for RPA correlation using interpolative separable density fitting,
Journal of Computational Physics, vol. 351
(December, 2017),
pp. 187202, Elsevier BV [doi] [abs]
 Cao, Y; Lu, J, Lindblad equation and its semiclassical limit of the AndersonHolstein model,
Journal of Mathematical Physics, vol. 58 no. 12
(December, 2017),
pp. 122105122105, AIP Publishing [doi] [abs]
 Li, L; Liu, JG; Lu, J, Fractional Stochastic Differential Equations Satisfying FluctuationDissipation Theorem,
Journal of Statistical Physics, vol. 169 no. 2
(October, 2017),
pp. 316339, Springer Nature America, Inc [doi] [abs]
 Li, Q; Lu, J; Sun, W, A convergent method for linear halfspace kinetic equations,
Esaim: Mathematical Modelling and Numerical Analysis, vol. 51 no. 5
(September, 2017),
pp. 15831615, E D P SCIENCES [doi] [abs]
 Lu, J; Steinerberger, S, A variation on the DonskerVaradhan inequality for the principal eigenvalue.,
Proceedings. Mathematical, Physical, and Engineering Sciences, vol. 473 no. 2204
(August, 2017),
pp. 20160877 [doi] [abs]
 Lu, J; Yang, H, A cubic scaling algorithm for excited states calculations in particle–particle random phase approximation,
Journal of Computational Physics, vol. 340
(July, 2017),
pp. 297308, Elsevier BV [doi] [abs]
 Gao, Y; Liu, JG; Lu, J, Continuum Limit of a Mesoscopic Model with Elasticity of Step Motion on Vicinal Surfaces,
Journal of Nonlinear Science, vol. 27 no. 3
(June, 2017),
pp. 873926, Springer Nature [doi] [abs]
 Li, C; Lu, J; Yang, W, On extending KohnSham density functionals to systems with fractional number of electrons.,
The Journal of Chemical Physics, vol. 146 no. 21
(June, 2017),
pp. 214109 [doi] [abs]
 Lu, J; Thicke, K, Orbital minimization method with ℓ^{1} regularization,
Journal of Computational Physics, vol. 336
(May, 2017),
pp. 87103, Elsevier BV [doi] [abs]
 Huang, Y; Lu, J; Ming, P, A Hybrid Globallocal Numerical Method for Multiscale PDEs
(April, 2017) [abs]
 Li, L; Liu, JG; Lu, J, Fractional stochastic differential equations satisfying fluctuationdissipation theorem
(April, 2017) [abs]
 Lu, J; Zhou, Z, Path integral molecular dynamics with surface hopping for thermal equilibrium sampling of nonadiabatic systems.,
The Journal of Chemical Physics, vol. 146 no. 15
(April, 2017),
pp. 154110 [doi] [abs]
 Watson, AB; Lu, J; Weinstein, MI, Wavepackets in inhomogeneous periodic media: Effective particlefield dynamics and Berry curvature,
Journal of Mathematical Physics, vol. 58 no. 2
(February, 2017),
pp. 021503021503, AIP Publishing [doi] [abs]
 Niu, X; Luo, T; Lu, J; Xiang, Y, Dislocation climb models from atomistic scheme to dislocation dynamics,
Journal of the Mechanics and Physics of Solids, vol. 99
(February, 2017),
pp. 242258, Elsevier BV [doi] [abs]
 Li, XH; Lu, J, Quasinonlocal coupling of nonlocal diffusions,
Siam Journal on Numerical Analysis, vol. 55 no. 5
(January, 2017),
pp. 23942415, Society for Industrial & Applied Mathematics (SIAM) [doi] [abs]
 Lu, J; Yang, H, Preconditioning orbital minimization method for planewave discretization,
Multiscale Modeling & Simulation, vol. 15 no. 1
(January, 2017),
pp. 254273, Society for Industrial & Applied Mathematics (SIAM) [doi] [abs]
 Li, Q; Lu, J; Sun, W, Validity and Regularization of Classical HalfSpace Equations,
Journal of Statistical Physics, vol. 166 no. 2
(January, 2017),
pp. 398433, Springer Nature [doi] [abs]
 Li, Q; Lu, J, An asymptotic preserving method for transport equations with oscillatory scattering coefficients,
Multiscale Modeling & Simulation, vol. 15 no. 4
(January, 2017),
pp. 16941718, Society for Industrial & Applied Mathematics (SIAM) [doi] [abs]
 Gao, Y; Liu, JG; Lu, J, Weak solution of a continuum model for vicinal surface in the attachmentdetachmentlimited regime,
Siam Journal on Mathematical Analysis, vol. 49 no. 3
(January, 2017),
pp. 17051731, Society for Industrial & Applied Mathematics (SIAM) [doi] [abs]
 Cornelis, B; Yang, H; Goodfriend, A; Ocon, N; Lu, J; Daubechies, I, Removal of Canvas Patterns in Digital Acquisitions of Paintings.,
Ieee Transactions on Image Processing : a Publication of the Ieee Signal Processing Society, vol. 26 no. 1
(January, 2017),
pp. 160171 [doi] [abs]
 Li, Q; Lu, J; Sun, W, Halfspace kinetic equations with general boundary conditions,
Mathematics of Computation, vol. 86 no. 305
(January, 2017),
pp. 12691301, American Mathematical Society (AMS) [doi] [abs]
 Mendl, CB; Lu, J; Lukkarinen, J, Thermalization of oscillator chains with onsite anharmonicity and comparison with kinetic theory.,
Physical Review. E, vol. 94 no. 61
(December, 2016),
pp. 062104 [doi] [abs]
 Yu, TQ; Lu, J; Abrams, CF; VandenEijnden, E, Multiscale implementation of infiniteswap replica exchange molecular dynamics.,
Proceedings of the National Academy of Sciences of the United States of America, vol. 113 no. 42
(October, 2016),
pp. 1174411749 [doi] [abs]
 Lu, J; Zhou, Z, Improved sampling and validation of frozen Gaussian approximation with surface hopping algorithm for nonadiabatic dynamics.,
The Journal of Chemical Physics, vol. 145 no. 12
(September, 2016),
pp. 124109 [doi] [abs]
 Li, X; Lu, J, Traction boundary conditions for molecular static simulations,
Computer Methods in Applied Mechanics and Engineering, vol. 308
(August, 2016),
pp. 310329, Elsevier BV [doi] [abs]
 Lin, L; Lu, J, Decay estimates of discretized Green’s functions for Schrödinger type operators,
Science China Mathematics, vol. 59 no. 8
(August, 2016),
pp. 15611578, Springer Nature [doi] [abs]
 Lai, R; Lu, J, Localized density matrix minimization and linearscaling algorithms,
Journal of Computational Physics, vol. 315
(June, 2016),
pp. 194210, Elsevier BV [doi] [abs]
 Lu, J; Ying, L, Sparsifying preconditioner for soliton calculations,
Journal of Computational Physics, vol. 315
(June, 2016),
pp. 458466, Elsevier BV [doi] [abs]
 Lu, J; Wirth, B; Yang, H, Combining 2D synchrosqueezed wave packet transform with optimization for crystal image analysis,
Journal of the Mechanics and Physics of Solids, vol. 89
(April, 2016),
pp. 194210, Elsevier BV, ISSN 00225096 [arXiv:1501.06254], [repository], [doi] [abs]
 Delgadillo, R; Lu, J; Yang, X, Gaugeinvariant frozen Gaussian approximation method for the schrödinger equation with periodic potentials,
Siam Journal on Scientific Computing, vol. 38 no. 4
(January, 2016),
pp. A2440A2463, Society for Industrial & Applied Mathematics (SIAM) [doi] [abs]
 Chen, J; Lu, J, Analysis 0f the divideandconquer method for electronic structure calculations,
Mathematics of Computation, vol. 85 no. 302
(January, 2016),
pp. 29192938, American Mathematical Society (AMS) [doi] [abs]
 Lu, J; Moroz, V; Muratov, CB, OrbitalFree Density Functional Theory of OutofPlane Charge Screening in Graphene,
Journal of Nonlinear Science, vol. 25 no. 6
(December, 2015),
pp. 13911430, Springer Nature, ISSN 09388974 [arXiv:1405.4949], [doi] [abs]
 Li, C; Lu, J; Yang, W, Gentlest ascent dynamics for calculating first excited state and exploring energy landscape of KohnSham density functionals.,
The Journal of Chemical Physics, vol. 143 no. 22
(December, 2015),
pp. 224110, ISSN 00219606 [doi] [abs]
 Yang, H; Lu, J; Brown, WP; Daubechies, I; Ying, L, Quantitative canvas weave analysis using 2D synchrosqueezed transforms: Application of timefrequency analysis to art investigation,
Ieee Signal Processing Magazine, vol. 32 no. 4
(July, 2015),
pp. 5563, Institute of Electrical and Electronics Engineers (IEEE), ISSN 10535888 [repository], [doi] [abs]
 Li, Q; Lu, J; Sun, W, Diffusion approximations and domain decomposition method of linear transport equations: Asymptotics and numerics,
Journal of Computational Physics, vol. 292
(July, 2015),
pp. 141167, Elsevier BV, ISSN 00219991 [arXiv:1409.0476], [doi] [abs]
 Lu, J; Mendl, CB, Numerical scheme for a spatially inhomogeneous matrixvalued quantum Boltzmann equation,
Journal of Computational Physics, vol. 291
(June, 2015),
pp. 303316, Elsevier BV, ISSN 00219991 [arXiv:1408.1782], [doi] [abs]
 Lu, J; Liu, JG; Margetis, D, Emergence of step flow from an atomistic scheme of epitaxial growth in 1+1 dimensions,
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, vol. 91 no. 3
(March, 2015),
pp. 032403, ISSN 15393755 [arXiv:1409.0046], [doi] [abs]
 Lu, J; Nolen, J, Reactive trajectories and the transition path process,
Probability Theory and Related Fields, vol. 161 no. 12
(February, 2015),
pp. 195244, Springer Science and Business Media LLC, ISSN 01788051 ([erratum].) [arXiv:1303.1744], [doi]
 Lai, R; Lu, J; Osher, S, Density matrix minimization with ℓ1 regularization,
Communications in Mathematical Sciences, vol. 13 no. 8
(January, 2015),
pp. 20972117, International Press of Boston, ISSN 15396746 [arXiv:1403.1525], [doi] [abs]
 Liu, J; Lu, J; Zhou, X, Efficient rare event simulation for failure problems in random media,
Siam Journal on Scientific Computing, vol. 37 no. 2
(January, 2015),
pp. A609A624, Society for Industrial & Applied Mathematics (SIAM), ISSN 10648275 [arXiv:1404.4729], [doi] [abs]
 Lu, J; Marzuola, JL, Strang splitting methods for a quasilinear Schrödinger equation: Convergence, instability, and dynamics,
Communications in Mathematical Sciences, vol. 13 no. 5
(January, 2015),
pp. 10511074, International Press of Boston, ISSN 15396746 [arXiv:1305.7205], [doi] [abs]
 Xian, Y; Thompson, A; Qiu, Q; Nolte, L; Nowacek, D; Lu, J; Calderbank, R, Classification of whale vocalizations using the Weyl transform,
in 2015 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP),
2015 Ieee International Conference on Acoustics, Speech, and Signal Processing (Icassp), vol. 2015August
(January, 2015),
pp. 773777, ISSN 15206149, ISBN 9781467369978 [doi] [abs]
 Yang, H; Lu, J; Ying, L, Crystal image analysis using 2D synchrosqueezed transforms,
Multiscale Modeling & Simulation, vol. 13 no. 4
(January, 2015),
pp. 15421572, Society for Industrial & Applied Mathematics (SIAM), ISSN 15403459 [arXiv:1402.1262], [repository], [doi] [abs]
 Lu, J; Ying, L, Compression of the electron repulsion integral tensor in tensor hypercontraction format with cubic scaling cost,
Journal of Computational Physics, vol. 302
(2015),
pp. 329335, Elsevier BV, ISSN 00219991 [arXiv:1410.7757], [doi] [abs]
 Xian, Y; Thompson, A; Qiu, Q; Nolte, L; Nowacek, D; Lu, J; Calderbank, R; IEEE,, CLASSIFICATION OF WHALE VOCALIZATIONS USING THE WEYL TRANSFORM,
2015 Ieee International Conference on Acoustics, Speech, and Signal Processing (Icassp)
(2015),
pp. 773777
 Lu, J; Otto, F, Nonexistence of a Minimizer for ThomasFermiDiracvon Weizsäcker Model,
Communications on Pure and Applied Mathematics, vol. 67 no. 10
(October, 2014),
pp. 16051617, WILEY, ISSN 00103640 [doi]
 Yang, Y; Peng, D; Lu, J; Yang, W, Excitation energies from particleparticle random phase approximation: Davidson algorithm and benchmark studies,
The Journal of Chemical Physics, vol. 141 no. 12
(September, 2014),
pp. 124104124104, AIP Publishing, ISSN 00219606 [doi] [abs]
 Lu, J; VandenEijnden, E, Exact dynamical coarsegraining without timescale separation,
The Journal of Chemical Physics, vol. 141 no. 4
(July, 2014),
pp. 044109044109, AIP Publishing, ISSN 00219606 [arXiv:1404.4225], [doi] [abs]
 E, W; Lu, J, Mathematical theory of solids: From quantum mechanics to continuum models,
Discrete and Continuous Dynamical Systems Series A, vol. 34 no. 12
(June, 2014),
pp. 50855097, American Institute of Mathematical Sciences (AIMS), ISSN 10780947 [doi]
 Kohn, RV; Lu, J; Schweizer, B; Weinstein, MI, A variational perspective on cloaking by anomalous localized resonance,
Communications in Mathematical Physics, vol. 328 no. 1
(March, 2014),
pp. 127, Springer Nature, ISSN 00103616 [doi] [abs]
 Lin, L; Lu, J; Shao, S, Analysis of time reversible bornoppenheimer molecular dynamics, edited by G. Ciccotti, M. Ferrario and Ch. Schuette,
Entropy, vol. 16 no. 1
(January, 2014),
pp. 110137, MDPI AG (Special issue on Molecular Dynamics Simulation.) [doi] [abs]
 Lu, J; Ming, P, Stability of a forcebased hybrid method with planar sharp interface,
Siam Journal on Numerical Analysis, vol. 52 no. 4
(January, 2014),
pp. 20052026, Society for Industrial & Applied Mathematics (SIAM), ISSN 00361429 [doi] [abs]
 Lu, JF; Yang, X, Asymptotic analysis of quantum dynamics in crystals: the BlochWigner transform, Bloch dynamics and Berry phase,
Acta Mathematicae Applicatae Sinica, English Series, vol. 29 no. 3
(July, 2013),
pp. 465476, ISSN 01689673 [doi] [abs]
 Lu, J; VandenEijnden, E, Infinite swapping replica exchange molecular dynamics leads to a simple simulation patch using mixture potentials.,
The Journal of Chemical Physics, vol. 138 no. 8
(February, 2013),
pp. 084105 [23464138], [doi] [abs]
 Lu, J; Ming, P, Convergence of a ForceBased Hybrid Method in Three Dimensions,
Communications on Pure and Applied Mathematics, vol. 66 no. 1
(January, 2013),
pp. 83108, WILEY, ISSN 00103640 [doi]
 Yang, X; Lu, J, Seismic modeling using the frozen Gaussian approximation,
in SEG Technical Program Expanded Abstracts 2013,
Society of Exploration Geophysicists International Exposition and 83rd Annual Meeting, Seg 2013: Expanding Geophysical Frontiers
(January, 2013),
pp. 46774682, Society of Exploration Geophysicists, ISBN 9781629931883 [arXiv:1304.3542], [1], [doi] [abs]
 E, W; Lu, J; Yao, Y, The landscape of complex networks: Critical nodes and a hierarchical decomposition,
Methods and Applications of Analysis, vol. 20 no. 4
(2013),
pp. 383404, International Press of Boston, ISSN 10732772 (Special issue dedicated to Stan Osher's 70th birthday.) [doi]
 E, W; Lu, J, Stability and the continuum limit of the spinpolarized ThomasFermiDiracvon Weizsäcker model,
Journal of Mathematical Physics, vol. 53 no. 11
(November, 2012),
pp. 115615115615, AIP Publishing, ISSN 00222488 [doi]
 Lu, J; Yang, X, Frozen gaussian approximation for general linear strictly hyperbolic systems: Formulation and eulerian methods,
Multiscale Modeling & Simulation, vol. 10 no. 2
(September, 2012),
pp. 451472, Society for Industrial & Applied Mathematics (SIAM), ISSN 15403459 [doi] [abs]
 Lu, J; Yang, X, Convergence of frozen Gaussian approximation for highfrequency wave propagation,
Communications on Pure and Applied Mathematics, vol. 65 no. 6
(June, 2012),
pp. 759789, WILEY, ISSN 00103640 [doi] [abs]
 Lin, L; Lu, J; Ying, L; E, W, Optimized local basis set for Kohn–Sham density functional theory,
Journal of Computational Physics, vol. 231 no. 13
(May, 2012),
pp. 45154529, Elsevier BV, ISSN 00219991 [doi]
 Lin, L; Lu, J; Ying, L; E, W, Adaptive local basis set for Kohn–Sham density functional theory in a discontinuous Galerkin framework I: Total energy calculation,
Journal of Computational Physics, vol. 231 no. 4
(February, 2012),
pp. 21402154, Elsevier BV, ISSN 00219991 [doi]
 E, W; Lu, J, The KohnSham equation for deformed crystals,
Memoirs of the American Mathematical Society, vol. 221 no. 1040
(2012),
pp. 11, American Mathematical Society (AMS), ISSN 00659266 [doi]
 Daubechies, I; Lu, J; Wu, HT, Synchrosqueezed wavelet transforms: An empirical mode decompositionlike tool,
Applied and Computational Harmonic Analysis, vol. 30 no. 2
(March, 2011),
pp. 243261, Elsevier BV, ISSN 10635203 [doi] [abs]
 Lin, L; Yang, C; Meza, JC; Lu, J; Ying, L; E, W, SelInvAn Algorithm for Selected Inversion of a Sparse Symmetric Matrix,
Acm Transactions on Mathematical Software, vol. 37 no. 4
(February, 2011),
pp. 119, Association for Computing Machinery (ACM), ISSN 00983500 [doi] [abs]
 E, W; Lu, J, The Electronic Structure of Smoothly Deformed Crystals: Wannier Functions and the Cauchy–Born Rule,
Archive for Rational Mechanics and Analysis, vol. 199 no. 2
(February, 2011),
pp. 407433, Springer Science and Business Media LLC, ISSN 00039527 [doi]
 Lin, L; Yang, C; Lu, J; Ying, L; E, W, A Fast Parallel Algorithm for Selected Inversion of Structured Sparse Matrices with Application to 2D Electronic Structure Calculations,
Siam Journal on Scientific Computing, vol. 33 no. 3
(January, 2011),
pp. 13291351, Society for Industrial & Applied Mathematics (SIAM), ISSN 10648275 [doi]
 Lin, L; Lu, J; Ying, L, Fast construction of hierarchical matrix representation from matrixvector multiplication,
Journal of Computational Physics, vol. 230 no. 10
(January, 2011),
pp. 40714087, Elsevier BV, ISSN 00219991 [doi] [abs]
 E, W; Lu, J; Yang, X, Effective Maxwell equations from timedependent density functional theory,
Acta Math. Sin., vol. 32 no. 2
(2011),
pp. 339339, Springer Nature [doi]
 Lu, J; Yang, X, Frozen Gaussian approximation for high frequency wave propagation,
Communications in Mathematical Sciences, vol. 9 no. 3
(2011),
pp. 663683, International Press of Boston, ISSN 15396746 [doi] [abs]
 E, W; Lu, J, Multiscale modeling,
Scholarpedia, vol. 6 no. 10
(2011),
pp. 1152711527, Scholarpedia [Multiscale_modeling], [doi]
 Noe, F; Sarich, M; Schutte, C; VandenEijnden, E, Markov state models based on milestoning,
J. Chem. Phys., vol. 134
(2011),
pp. 204105
 E, W; Lu, J, Electronic structure of smoothly deformed crystals: Cauchyborn rule for the nonlinear tightbinding model,
Communications on Pure and Applied Mathematics, vol. 63 no. 11
(November, 2010),
pp. 14321468, WILEY, ISSN 00103640 [doi]
 E, W; Li, T; Lu, J, Localized bases of eigensubspaces and operator compression,
Proceedings of the National Academy of Sciences of the United States of America, vol. 107 no. 4
(January, 2010),
pp. 12731278, Proceedings of the National Academy of Sciences, ISSN 00278424 [doi] [abs]
 GarcíaCervera, CJ; Lu, J; Xuan, Y; E, W, Linearscaling subspaceiteration algorithm with optimally localized nonorthogonal wave functions for KohnSham density functional theory,
Physical Review B, vol. 79 no. 11
(2009),
pp. 115110, American Physical Society (APS), ISSN 10980121 [doi]
 Lin, L; Lu, J; Car, R; E, W, Multipole representation of the Fermi operator with application to the electronic structure analysis of metallic systems,
Physical Review B, vol. 79 no. 11
(March, 2009),
pp. 115133, American Physical Society (APS), ISSN 10980121 [doi]
 Lin, L; Lu, J; Ying, L; Car, R; E, W, Fast algorithm for extracting the diagonal of the inverse matrix with application to the electronic structure analysis of metallic systems,
Commun. Math. Sci., vol. 7 no. 3
(2009),
pp. 755777, International Press of Boston [doi]
 Lin, L; Lu, J; Ying, L; E, W, Polebased approximation of the FermiDirac function,
Chin. Ann. Math. Ser. B, vol. 30 no. 6
(2009),
pp. 729742, Springer Nature [doi]
 GarciaCervera, CJ; Ren, W; Lu, J; E, W, Sequential multiscale modelling using sparse representation,
Commun. Comput. Phys., vol. 4 no. 5
(2008),
pp. 10251033 [abs]
 E, W; Lu, J, The Elastic Continuum Limit of the Tight Binding Model*,
Chinese Annals of Mathematics, Series B, vol. 28 no. 6
(December, 2007),
pp. 665676, Springer Science and Business Media LLC, ISSN 02529599 [doi]
 E, W; GarcíaCervera, CJ; Lu, J, A sublinear scaling algorithm for computing the electronic structure of materials,
Communications in Mathematical Sciences, vol. 5 no. 4
(2007),
pp. 9991026, International Press of Boston, ISSN 15396746 [doi]
 E, W; Lu, J, Seamless multiscale modeling via dynamics on fiber bundles,
Communications in Mathematical Sciences, vol. 5 no. 3
(2007),
pp. 649663, International Press of Boston, ISSN 15396746 [doi]
 E, W; Lu, J, The continuum limit and QMcontinuum approximation of quantum mechanical models of solids,
Communications in Mathematical Sciences, vol. 5 no. 3
(2007),
pp. 679696, International Press of Boston, ISSN 15396746 [doi]
 E, W; Lu, J; Yang, JZ, Uniform accuracy of the quasicontinuum method,
Physical Review B, vol. 74 no. 21
(2006),
pp. 214115, American Physical Society (APS), ISSN 10980121 [doi]


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