## Lu, Jianfeng

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 Author ID: lu.jianfeng Published as: Lu, Jianfeng; Lu, Jian-feng; Lü, Jian-Feng; Lü, Jianfeng; Lu, J. more...less External Links: ORCID
 Documents Indexed: 173 Publications since 1986, including 2 Books Co-Authors: 144 Co-Authors with 154 Joint Publications 4,921 Co-Co-Authors
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### Co-Authors

 3 single-authored 20 E, Weinan 16 Ying, Lexing 13 Lin, Lin 10 Li, Qin 9 Steinerberger, Stefan 8 Liu, Jianguo 7 Li, Yingzhou 7 Yang, Haizhao 7 Yang, Xu 6 Marzuola, Jeremy L. 5 Cao, Yu 5 Watson, Alexander B. 4 Daubechies, Ingrid Chantal 4 Gao, Yuan 4 Lu, Yulong 4 Sun, Weiran 4 Yang, Jingyu 3 Cai, Zhenning 3 Chen, Ke 3 Ding, Jing 3 Han, Jianmin 3 Han, Jiequn 3 Khoo, Yuehaw 3 Lai, Rongjie 3 Ming, Pingbing 3 Peng, Hao 3 Thicke, Kyle 3 Vanden-Eijnden, Eric 3 Weinstein, Michael I. 3 Wright, Stephen J. 3 Zhou, Zhennan 2 Delgadillo, Ricardo 2 Dunson, David Brian 2 García-Cervera, Carlos J. 2 Li, Lei 2 Li, Xiantao 2 Li, Xingjie Helen 2 Litvin, Faydor L. 2 Liu, Jingchen 2 Mao, XueFeng 2 Ni, Xiaowu 2 Nolen, James H. 2 Otto, Felix 2 Sachs, Matthias 2 Shen, Zhonghua 2 Wang, Lihan 2 Wang, Zhe 2 Yang, Chao 2 Zhou, Mo 2 Zhou, Xiang 1 An, Dong 1 An, Jing 1 Benabbou, Azeddine 1 Borouchaki, Houman 1 Caelli, Terry M. 1 Cai, Ying 1 Car, Roberto 1 Chen, Hongxu 1 Chen, Huajie 1 Chen, Jingrun 1 Chen, Xiao 1 Chen, Xiaoyun 1 Chen, Ziang 1 Cheng, Cheng 1 Cheng, Sara Y. 1 Cheng, Xiuyuan 1 Cook, Alexis B. 1 Cornelis, Bruno 1 Dai, Jinwen 1 Dai, Shibin 1 Ding, Zhiyan 1 Du, Haishun 1 Du, Qiang 1 Dym, Nadav 1 Fan, Hong-Yi 1 Fang, Di 1 Gauckler, Ludwig J. 1 Ge, Rong 1 Goodfriend, Alex 1 Gu, Xingjian 1 Head-Gordon, Teresa 1 Hu, Zhaolong 1 Huang, Hui 1 Huang, Yufang 1 Jackson, Trachette L. 1 Jin, Lei 1 Kan, Zhe 1 Katsevich, Anya E. 1 Kohn, Robert Vita 1 Laug, Patrick 1 Lee, Holden 1 Leimkuhler, Benedict J. 1 Li, Bo 1 Li, Cuiling 1 Li, Lian 1 Li, Tiejun 1 Li, Wuchen 1 Li, Xiaoou 1 Lin, Ling 1 Liu, Zibu ...and 52 more Co-Authors
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### Serials

 18 Journal of Computational Physics 10 SIAM Journal on Scientific Computing 10 Multiscale Modeling & Simulation 9 Communications in Mathematical Sciences 6 Communications on Pure and Applied Mathematics 6 International Journal of Heat and Mass Transfer 4 Archive for Rational Mechanics and Analysis 4 Journal of Mathematical Physics 4 Journal of Statistical Physics 4 Mathematics of Computation 4 SIAM Journal on Mathematical Analysis 3 SIAM Journal on Numerical Analysis 3 Pattern Recognition 3 Applied and Computational Harmonic Analysis 2 Computer Methods in Applied Mechanics and Engineering 2 Nonlinearity 2 Biometrika 2 Chinese Annals of Mathematics. Series B 2 Asymptotic Analysis 2 Journal of Scientific Computing 2 The Annals of Applied Probability 2 Applied Mathematical Modelling 2 Journal of Nonlinear Science 2 Communications in Nonlinear Science and Numerical Simulation 2 Communications in Computational Physics 2 Research in the Mathematical Sciences 2 Annals of Mathematical Sciences and Applications 1 Astronomy and Astrophysics 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 General Relativity and Gravitation 1 International Journal of Solids and Structures 1 Information Processing Letters 1 Israel Journal of Mathematics 1 Journal of the Mechanics and Physics of Solids 1 Physica A 1 Physics Letters. A 1 ACM Transactions on Mathematical Software 1 International Journal for Numerical Methods in Engineering 1 Journal of Functional Analysis 1 Memoirs of the American Mathematical Society 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Physica D 1 Acta Mathematicae Applicatae Sinica. English Series 1 Probability Theory and Related Fields 1 Constructive Approximation 1 Journal of Computer Science and Technology 1 Computers & Operations Research 1 Mathematical and Computer Modelling 1 SIAM Journal on Matrix Analysis and Applications 1 European Journal of Applied Mathematics 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Applied Mathematics 1 Annalen der Physik, VII. Folge 1 Potential Analysis 1 Physics of Fluids 1 Journal of Huazhong University of Science and Technology 1 Methods and Applications of Analysis 1 Discrete and Continuous Dynamical Systems 1 Journal of Nanjing Normal University. Natural Science Edition 1 Acta Mathematica Sinica. English Series 1 IEEE Transactions on Image Processing 1 Foundations of Computational Mathematics 1 Control and Decision 1 Acta Numerica 1 Journal of Statistical Mechanics: Theory and Experiment 1 Mathematical Biosciences and Engineering 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Journal of Guangxi Normal University. Natural Science Edition 1 Acta Mechanica Sinica 1 Communications in Applied Mathematics and Computational Science 1 SIAM Journal on Imaging Sciences 1 Communications in Theoretical Physics 1 Science China. Mathematics 1 Information and Inference 1 SIAM Spotlights 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Transactions of Mathematics and its Applications 1 Pure and Applied Analysis 1 Foundations of Data Science 1 SIAM Journal on Mathematics of Data Science
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### Fields

 72 Numerical analysis (65-XX) 60 Partial differential equations (35-XX) 45 Statistical mechanics, structure of matter (82-XX) 31 Quantum theory (81-XX) 23 Mechanics of deformable solids (74-XX) 19 Computer science (68-XX) 17 Fluid mechanics (76-XX) 16 Probability theory and stochastic processes (60-XX) 9 Statistics (62-XX) 8 Operator theory (47-XX) 7 Ordinary differential equations (34-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Approximations and expansions (41-XX) 5 Optics, electromagnetic theory (78-XX) 5 Operations research, mathematical programming (90-XX) 5 Biology and other natural sciences (92-XX) 5 Systems theory; control (93-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Functional analysis (46-XX) 3 Mechanics of particles and systems (70-XX) 3 Information and communication theory, circuits (94-XX) 2 Associative rings and algebras (16-XX) 2 Real functions (26-XX) 2 Integral equations (45-XX) 2 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX)

### Citations contained in zbMATH Open

121 Publications have been cited 899 times in 663 Documents Cited by Year
Synchrosqueezed wavelet transforms: an empirical mode decomposition-like tool. Zbl 1213.42133
Daubechies, Ingrid; Lu, Jianfeng; Wu, Hau-Tieng
2011
Nonexistence of a minimizer for Thomas–Fermi–Dirac–von Weizsäcker model. Zbl 1301.49002
Lu, Jianfeng; Otto, Felix
2014
A variational perspective on cloaking by anomalous localized resonance. Zbl 1366.78002
Kohn, R. V.; Lu, J.; Schweizer, B.; Weinstein, M. I.
2014
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
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
Solving for high-dimensional committor functions using artificial neural networks. Zbl 07096498
Khoo, Yuehaw; Lu, Jianfeng; Ying, Lexing
2019
Convergence of a force-based hybrid method in three dimensions. Zbl 1393.74166
Lu, Jianfeng; Ming, Pingbing
2013
Adaptive synchronization of different chaotic systems with fully unknown parameters. Zbl 1203.93161
Chen, Xiaoyun; Lu, Jianfeng
2007
Convergence of frozen Gaussian approximation for high-frequency wave propagation. Zbl 1387.35400
Lu, Jianfeng; Yang, Xu
2012
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
Frozen Gaussian approximation for high frequency wave propagation. Zbl 1272.65075
Lu, Jianfeng; Yang, Xu
2011
The electronic structure of smoothly deformed crystals: Wannier functions and the Cauchy-Born Rule. Zbl 1253.74025
E, Weinan; Lu, Jianfeng
2011
Nakayama automorphism and applications. Zbl 1396.16004
Lü, J.-F.; Mao, X.-F.; Zhang, J. J.
2017
Scaling limit of the Stein variational gradient descent: the mean field regime. Zbl 1417.35189
Lu, Jianfeng; Lu, Yulong; Nolen, James
2019
Generalized (complete, lag, anticipated) synchronization of discrete-time chaotic systems. Zbl 1221.37216
Lu, Jianfeng
2008
Electronic structure of smoothly deformed crystals: Cauchy-Born rule for the nonlinear tight-binding model. Zbl 1277.81117
E, Weinan; Lu, Jianfeng
2010
Localized bases of eigensubspaces and operator compression. Zbl 1205.15017
E, Weinan; Li, Tiejun; Lu, Jianfeng
2010
The Kohn-Sham equation for deformed crystals. Zbl 1435.74001
E, Weinan; Lu, Jianfeng
2013
Convergence of phase-field free energy and boundary force for molecular solvation. Zbl 1384.35052
Dai, Shibin; Li, Bo; Lu, Jianfeng
2018
Diffusion approximations and domain decomposition method of linear transport equations: asymptotics and numerics. Zbl 1349.82096
Li, Qin; Lu, Jianfeng; Sun, Weiran
2015
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
Pole-based approximation of the Fermi-Dirac function. Zbl 1188.41007
Lin, Lin; Lu, Jianfeng; Ying, Lexing; Weinan, E.
2009
Frozen Gaussian approximation for general linear strictly hyperbolic systems: formulation and Eulerian methods. Zbl 1447.81130
Lu, Jianfeng; Yang, Xu
2012
Reactive trajectories and the transition path process. Zbl 1343.60074
Lu, Jianfeng; Nolen, James
2015
Validity and regularization of classical half-space equations. Zbl 1367.35176
Li, Qin; Lu, Jianfeng; Sun, Weiran
2017
A quasi-nonlocal coupling method for nonlocal and local diffusion models. Zbl 06880667
Du, Qiang; Li, Xingjie Helen; Lu, Jianfeng; Tian, Xiaochuan
2018
Weak solution of a continuum model for vicinal surface in the attachment-detachment-limited regime. Zbl 1377.35145
Gao, Yuan; Liu, Jian-Guo; Lu, Jianfeng
2017
A convergent method for linear half-space kinetic equations. Zbl 1380.35006
Li, Qin; Sun, Weiran; Lu, Jianfeng
2017
Solving parametric PDE problems with artificial neural networks. Zbl 07441295
Khoo, Yuehaw; Lu, Jianfeng; Ying, Lexing
2021
Fisher information regularization schemes for Wasserstein gradient flows. Zbl 1437.65055
Li, Wuchen; Lu, Jianfeng; Wang, Li
2020
Continuum limit of a mesoscopic model with elasticity of step motion on vicinal surfaces. Zbl 1365.35174
Gao, Yuan; Liu, Jian-Guo; Lu, Jianfeng
2017
Thermodynamic limit of crystal defects with finite temperature tight binding. Zbl 1412.35279
Chen, Huajie; Lu, Jianfeng; Ortner, Christoph
2018
Density matrix minimization with $${\ell}_1$$ regularization. Zbl 1327.65110
Lai, Rongjie; Lu, Jianfeng; Osher, Stanley
2015
Compression of the electron repulsion integral tensor in tensor hypercontraction format with cubic scaling cost. Zbl 1349.81020
Lu, Jianfeng; Ying, Lexing
2015
Half-space kinetic equations with general boundary conditions. Zbl 1360.35131
Li, Qin; Lu, Jianfeng; Sun, Weiran
2017
A stochastic version of Stein variational gradient descent for efficient sampling. Zbl 1444.62043
Li, Lei; Li, Yingzhou; Liu, Jian-Guo; Liu, Zibu; Lu, Jianfeng
2020
Detecting localized eigenstates of linear operators. Zbl 1425.35128
Lu, Jianfeng; Steinerberger, Stefan
2018
Numerical methods for Kohn-Sham density functional theory. Zbl 07099162
Lin, Lin; Lu, Jianfeng; Ying, Lexing
2019
Learning interacting particle systems: diffusion parameter estimation for aggregation equations. Zbl 1412.65171
Huang, Hui; Liu, Jian-Guo; Lu, Jianfeng
2019
Crystal image analysis using 2D synchrosqueezed transforms. Zbl 1336.74016
Yang, Haizhao; Lu, Jianfeng; Ying, Lexing
2015
Frozen Gaussian approximation with surface hopping for mixed quantum-classical dynamics: a mathematical justification of fewest switches surface hopping algorithms. Zbl 1478.65007
Lu, Jianfeng; Zhou, Zhennan
2018
Feature fusion: Parallel strategy vs. serial strategy. Zbl 1028.68152
Yang, Jian; Yang, Jing-yu; Zhang, David; Lu, Jian-feng
2003
Optimized local basis set for Kohn-Sham density functional theory. Zbl 1250.82002
Lin, Lin; Lu, Jianfeng; Ying, Lexing; E, Weinan
2012
Robust vehicle routing problem with hard time windows under demand and travel time uncertainty. Zbl 1391.90064
Hu, C.; Lu, J.; Liu, X.; Zhang, G.
2018
Fractional stochastic differential equations satisfying fluctuation-dissipation theorem. Zbl 1386.82053
Li, Lei; Liu, Jian-Guo; Lu, Jianfeng
2017
Strang splitting methods for a quasilinear Schrödinger equation: convergence, instability, and dynamics. Zbl 1326.35349
Lu, Jianfeng; Marzuola, Jeremy L.
2015
Stability of a force-based hybrid method with planar sharp interface. Zbl 1307.65148
Lu, Jianfeng; Ming, Pingbing
2014
Double delayed feedback control for the stabilization of unstable steady states in chaotic systems. Zbl 1221.37217
Lu, Jianfeng; Ma, Zhixin; Li, Lian
2009
The elastic continuum limit of the tight binding model. Zbl 1136.74003
E, Weinan; Lu, Jianfeng
2007
Multiple kernel clustering based on centered kernel alignment. Zbl 1373.68324
Lu, Yanting; Wang, Liantao; Lu, Jianfeng; Yang, Jingyu; Shen, Chunhua
2014
Trigonometric integrators for quasilinear wave equations. Zbl 1403.65048
Gauckler, Ludwig; Lu, Jianfeng; Marzuola, Jeremy L.; Rousset, Frédéric; Schratz, Katharina
2019
Gauge-invariant frozen Gaussian approximation method for the Schrödinger equation with periodic potentials. Zbl 1346.81043
Delgadillo, Ricardo; Lu, Jianfeng; Yang, Xu
2016
Wavepackets in inhomogeneous periodic media: effective particle-field dynamics and Berry curvature. Zbl 1357.81085
Watson, Alexander B.; Lu, Jianfeng; Weinstein, Michael I.
2017
Dynamic stress concentration around elliptic cavities in saturated poroelastic soil under harmonic plane waves. Zbl 1120.74521
Wang, J. H.; Zhou, X. L.; Lu, J. F.
2005
Geometrical modeling of granular structures in two and three dimensions. Application to nanostructures. Zbl 1176.74051
Benabbou, A.; Borouchaki, H.; Laug, P.; Lu, J.
2009
A dimension-free Hermite-Hadamard inequality via gradient estimates for the torsion function. Zbl 1436.26011
Lu, Jianfeng; Steinerberger, Stefan
2020
Semi-supervised linear discriminant analysis for dimension reduction and classification. Zbl 1412.68195
Wang, Sheng; Lu, Jianfeng; Gu, Xingjian; Du, Haishun; Yang, Jingyu
2016
Asymptotic analysis of quantum dynamics in crystals: the Bloch-Wigner transform, Bloch dynamics and Berry phase. Zbl 1278.81084
E, Weinan; Lu, Jian-feng; Yang, Xu
2013
Efficient rare event simulation for failure problems in random media. Zbl 1320.65012
Liu, Jingchen; Lu, Jianfeng; Zhou, Xiang
2015
Quasi-nonlocal coupling of nonlocal diffusions. Zbl 1422.65166
Li, Xingjie Helen; Lu, Jianfeng
2017
Orbital-free density functional theory of out-of-plane charge screening in graphene. Zbl 1343.82074
Lu, Jianfeng; Moroz, Vitaly; Muratov, Cyrill B.
2015
Decay estimates of discretized Green’s functions for Schrödinger type operators. Zbl 1354.65218
Lin, Lin; Lu, Jianfeng
2016
Localized density matrix minimization and linear-scaling algorithms. Zbl 1349.82007
Lai, Rongjie; Lu, Jianfeng
2016
Load share and finite element stress analysis for double circular-arc helical gears. Zbl 0835.73064
Lu, J.; Litvin, F. L.; Chen, J. S.
1995
Effective Maxwell equations from time-dependent density functional theory. Zbl 1210.81030
Weinan, E.; Lu, Jianfeng; Yang, Xu
2011
Discontinuous Hamiltonian Monte Carlo for discrete parameters and discontinuous likelihoods. Zbl 1441.62079
Nishimura, Akihiko; Dunson, David B.; Lu, Jianfeng
2020
Variational training of neural network approximations of solution maps for physical models. Zbl 1435.68292
Li, Yingzhou; Lu, Jianfeng; Mao, Anqi
2020
Deep network approximation for smooth functions. Zbl 07407717
Lu, Jianfeng; Shen, Zuowei; Yang, Haizhao; Zhang, Shijun
2021
A concurrent global-local numerical method for multiscale PDEs. Zbl 1397.65232
Huang, Yufang; Lu, Jianfeng; Ming, Pingbing
2018
PEXSI-$$\Sigma$$: a Green’s function embedding method for Kohn-Sham density functional theory. Zbl 1400.82023
Li, Xiantao; Lin, Lin; Lu, Jianfeng
2018
Fast algorithm for periodic density fitting for Bloch waves. Zbl 1381.65098
Lu, Jianfeng; Ying, Lexing
2016
Analysis of the divide-and-conquer method for electronic structure calculations. Zbl 1344.65053
Chen, Jingrun; Lu, Jianfeng
2016
Computerized design and generation of double circular-arc helical gears with low transmission errors. Zbl 0865.70002
Litvin, F. L.; Lu, J.
1995
Numerical simulation of laser-induced transient temperature field in film-substrate system by finite element method. Zbl 1048.80009
Xu, B. Q.; Shen, Z. H.; Lu, J.; Ni, X. W.; Zhang, S. Y.
2003
A sub-linear scaling algorithm for computing the electronic structure of materials. Zbl 1133.35429
García-Cervera, Carlos J.; Lu, Jianfeng; E, Weinan
2007
Dirac operators and domain walls. Zbl 1442.35275
Lu, Jianfeng; Watson, Alexander B.; Weinstein, Michael I.
2020
Coordinatewise descent methods for leading eigenvalue problem. Zbl 1420.65051
Li, Yingzhou; Lu, Jianfeng; Wang, Zhe
2019
Approximating pointwise products of Laplacian eigenfunctions. Zbl 1447.35228
Lu, Jianfeng; Sogge, Christopher D.; Steinerberger, Stefan
2019
Exponential decay of Rényi divergence under Fokker-Planck equations. Zbl 1428.35599
Cao, Yu; Lu, Jianfeng; Lu, Yulong
2019
The Nakayama automorphism of a class of graded algebras. Zbl 1376.16038
Lü, J.-F.; Mao, X.-F.; Zhang, J. J.
2017
Cubic scaling algorithms for RPA correlation using interpolative separable density fitting. Zbl 1375.81259
Lu, Jianfeng; Thicke, Kyle
2017
Orbital minimization method with $$\ell^{1}$$ regularization. Zbl 1375.81099
Lu, Jianfeng; Thicke, Kyle
2017
An asymptotic preserving method for transport equations with oscillatory scattering coefficients. Zbl 1395.65081
Li, Qin; Lu, Jianfeng
2017
Removal of canvas patterns in digital acquisitions of paintings. Zbl 1409.94095
Cornelis, Bruno; Yang, Haizhao; Goodfriend, Alex; Ocon, Noelle; Lu, Jianfeng; Daubechies, Ingrid
2017
Sparsifying preconditioner for soliton calculations. Zbl 1349.65606
Lu, Jianfeng; Ying, Lexing
2016
Point cloud discretization of Fokker-Planck operators for committor functions. Zbl 1431.65235
Lai, Rongjie; Lu, Jianfeng
2018
Sound horizon of accretion onto a Kerr black hole. Zbl 0575.76126
Lu, J. F.
1986
Seamless multiscale modeling via dynamics on fiber bundles. Zbl 1133.65029
E, Weinan; Lu, Jianfeng
2007
Optimal trapping for Brownian motion: a nonlinear analogue of the torsion function. Zbl 1478.35105
Lu, Jianfeng; Steinerberger, Stefan
2021
Computing edge states without hard truncation. Zbl 1468.65113
Thicke, Kyle; Watson, Alexander B.; Lu, Jianfeng
2021
Efficient posterior sampling for high-dimensional imbalanced logistic regression. Zbl 1457.62221
Sen, Deborshee; Sachs, Matthias; Lu, Jianfeng; Dunson, David B.
2020
Traction boundary conditions for molecular static simulations. Zbl 1439.82012
Li, Xiantao; Lu, Jianfeng
2016
Randomized sampling for basis function construction in generalized finite element methods. Zbl 1446.65162
Chen, Ke; Li, Qin; Lu, Jianfeng; Wright, Stephen J.
2020
Quadrature points via heat kernel repulsion. Zbl 1447.41013
Lu, Jianfeng; Sachs, Matthias; Steinerberger, Stefan
2020
Actor-critic method for high dimensional static Hamilton-Jacobi-Bellman partial differential equations based on neural networks. Zbl 1481.65203
Zhou, Mo; Han, Jiequn; Lu, Jianfeng
2021
Ensemble Kalman inversion for nonlinear problems: weights, consistency, and variance bounds. Zbl 1478.93689
Ding, Zhiyan; Li, Qin; Lu, Jianfeng
2021
Stochastic modified equations for the asynchronous stochastic gradient descent. Zbl 07382208
An, Jing; Lu, Jianfeng; Ying, Lexing
2020
Phase-space sketching for crystal image analysis based on synchrosqueezed transforms. Zbl 07097233
Lu, Jianfeng; Yang, Haizhao
2018
A mathematical introduction to electronic structure theory. Zbl 1435.81001
Lin, Lin; Lu, Jianfeng
2019
Solving parametric PDE problems with artificial neural networks. Zbl 07441295
Khoo, Yuehaw; Lu, Jianfeng; Ying, Lexing
2021
Deep network approximation for smooth functions. Zbl 07407717
Lu, Jianfeng; Shen, Zuowei; Yang, Haizhao; Zhang, Shijun
2021
Optimal trapping for Brownian motion: a nonlinear analogue of the torsion function. Zbl 1478.35105
Lu, Jianfeng; Steinerberger, Stefan
2021
Computing edge states without hard truncation. Zbl 1468.65113
Thicke, Kyle; Watson, Alexander B.; Lu, Jianfeng
2021
Actor-critic method for high dimensional static Hamilton-Jacobi-Bellman partial differential equations based on neural networks. Zbl 1481.65203
Zhou, Mo; Han, Jiequn; Lu, Jianfeng
2021
Ensemble Kalman inversion for nonlinear problems: weights, consistency, and variance bounds. Zbl 1478.93689
Ding, Zhiyan; Li, Qin; Lu, Jianfeng
2021
Complexity of randomized algorithms for underdamped Langevin dynamics. Zbl 1476.65009
Cao, Yu; Lu, Jianfeng; Wang, Lihan
2021
Stable phase retrieval from locally stable and conditionally connected measurements. Zbl 1471.94008
Cheng, Cheng; Daubechies, Ingrid; Dym, Nadav; Lu, Jianfeng
2021
Fisher information regularization schemes for Wasserstein gradient flows. Zbl 1437.65055
Li, Wuchen; Lu, Jianfeng; Wang, Li
2020
A stochastic version of Stein variational gradient descent for efficient sampling. Zbl 1444.62043
Li, Lei; Li, Yingzhou; Liu, Jian-Guo; Liu, Zibu; Lu, Jianfeng
2020
A dimension-free Hermite-Hadamard inequality via gradient estimates for the torsion function. Zbl 1436.26011
Lu, Jianfeng; Steinerberger, Stefan
2020
Discontinuous Hamiltonian Monte Carlo for discrete parameters and discontinuous likelihoods. Zbl 1441.62079
Nishimura, Akihiko; Dunson, David B.; Lu, Jianfeng
2020
Variational training of neural network approximations of solution maps for physical models. Zbl 1435.68292
Li, Yingzhou; Lu, Jianfeng; Mao, Anqi
2020
Dirac operators and domain walls. Zbl 1442.35275
Lu, Jianfeng; Watson, Alexander B.; Weinstein, Michael I.
2020
Efficient posterior sampling for high-dimensional imbalanced logistic regression. Zbl 1457.62221
Sen, Deborshee; Sachs, Matthias; Lu, Jianfeng; Dunson, David B.
2020
Randomized sampling for basis function construction in generalized finite element methods. Zbl 1446.65162
Chen, Ke; Li, Qin; Lu, Jianfeng; Wright, Stephen J.
2020
Quadrature points via heat kernel repulsion. Zbl 1447.41013
Lu, Jianfeng; Sachs, Matthias; Steinerberger, Stefan
2020
Stochastic modified equations for the asynchronous stochastic gradient descent. Zbl 07382208
An, Jing; Lu, Jianfeng; Ying, Lexing
2020
Random sampling and efficient algorithms for multiscale PDEs. Zbl 07271883
Chen, Ke; Li, Qin; Lu, Jianfeng; Wright, Stephen J.
2020
Synchronization of Kuramoto oscillators in dense networks. Zbl 1480.34069
Lu, Jianfeng; Steinerberger, Stefan
2020
Analysis of a continuum theory for broken bond crystal surface models with evaporation and deposition effects. Zbl 1443.35085
Gao, Yuan; Liu, Jian-Guo; Lu, Jianfeng; Marzuola, Jeremy L.
2020
Inchworm Monte Carlo method for open quantum systems. Zbl 1459.81066
Cai, Zhenning; Lu, Jianfeng; Yang, Siyao
2020
Estimating normalizing constants for log-concave distributions: algorithms and lower bounds. Zbl 07298271
Ge, Rong; Lee, Holden; Lu, Jianfeng
2020
Solving for high-dimensional committor functions using artificial neural networks. Zbl 07096498
Khoo, Yuehaw; Lu, Jianfeng; Ying, Lexing
2019
Scaling limit of the Stein variational gradient descent: the mean field regime. Zbl 1417.35189
Lu, Jianfeng; Lu, Yulong; Nolen, James
2019
Numerical methods for Kohn-Sham density functional theory. Zbl 07099162
Lin, Lin; Lu, Jianfeng; Ying, Lexing
2019
Learning interacting particle systems: diffusion parameter estimation for aggregation equations. Zbl 1412.65171
Huang, Hui; Liu, Jian-Guo; Lu, Jianfeng
2019
Trigonometric integrators for quasilinear wave equations. Zbl 1403.65048
Gauckler, Ludwig; Lu, Jianfeng; Marzuola, Jeremy L.; Rousset, Frédéric; Schratz, Katharina
2019
Coordinatewise descent methods for leading eigenvalue problem. Zbl 1420.65051
Li, Yingzhou; Lu, Jianfeng; Wang, Zhe
2019
Approximating pointwise products of Laplacian eigenfunctions. Zbl 1447.35228
Lu, Jianfeng; Sogge, Christopher D.; Steinerberger, Stefan
2019
Exponential decay of Rényi divergence under Fokker-Planck equations. Zbl 1428.35599
Cao, Yu; Lu, Jianfeng; Lu, Yulong
2019
A mathematical introduction to electronic structure theory. Zbl 1435.81001
Lin, Lin; Lu, Jianfeng
2019
Gradient flow structure and exponential decay of the sandwiched Rényi divergence for primitive Lindblad equations with GNS-detailed balance. Zbl 1414.81141
Cao, Yu; Lu, Jianfeng; Lu, Yulong
2019
The simulated tempering method in the infinite switch limit with adaptive weight learning. Zbl 07382763
Martinsson, Anton; Lu, Jianfeng; Leimkuhler, Benedict; Vanden-Eijnden, Eric
2019
Bold diagrammatic Monte Carlo in the lens of stochastic iterative methods. Zbl 07041704
Li, Yingzhou; Lu, Jianfeng
2019
Asymmetry in crystal facet dynamics of homoepitaxy by a continuum model. Zbl 1451.35074
Liu, Jian-Guo; Lu, Jianfeng; Margetis, Dionisios; Marzuola, Jeremy L.
2019
Convergence of phase-field free energy and boundary force for molecular solvation. Zbl 1384.35052
Dai, Shibin; Li, Bo; Lu, Jianfeng
2018
A quasi-nonlocal coupling method for nonlocal and local diffusion models. Zbl 06880667
Du, Qiang; Li, Xingjie Helen; Lu, Jianfeng; Tian, Xiaochuan
2018
Thermodynamic limit of crystal defects with finite temperature tight binding. Zbl 1412.35279
Chen, Huajie; Lu, Jianfeng; Ortner, Christoph
2018
Detecting localized eigenstates of linear operators. Zbl 1425.35128
Lu, Jianfeng; Steinerberger, Stefan
2018
Frozen Gaussian approximation with surface hopping for mixed quantum-classical dynamics: a mathematical justification of fewest switches surface hopping algorithms. Zbl 1478.65007
Lu, Jianfeng; Zhou, Zhennan
2018
Robust vehicle routing problem with hard time windows under demand and travel time uncertainty. Zbl 1391.90064
Hu, C.; Lu, J.; Liu, X.; Zhang, G.
2018
A concurrent global-local numerical method for multiscale PDEs. Zbl 1397.65232
Huang, Yufang; Lu, Jianfeng; Ming, Pingbing
2018
PEXSI-$$\Sigma$$: a Green’s function embedding method for Kohn-Sham density functional theory. Zbl 1400.82023
Li, Xiantao; Lin, Lin; Lu, Jianfeng
2018
Point cloud discretization of Fokker-Planck operators for committor functions. Zbl 1431.65235
Lai, Rongjie; Lu, Jianfeng
2018
Phase-space sketching for crystal image analysis based on synchrosqueezed transforms. Zbl 07097233
Lu, Jianfeng; Yang, Haizhao
2018
Stochastic dynamical low-rank approximation method. Zbl 1415.65015
Cao, Yu; Lu, Jianfeng
2018
Moderate deviation for random elliptic PDE with small noise. Zbl 1402.60032
Li, Xiaoou; Liu, Jingchen; Lu, Jianfeng; Zhou, Xiang
2018
Frozen Gaussian approximation for high frequency wave propagation in periodic media. Zbl 1417.35153
Delgadillo, Ricardo; Lu, Jianfeng; Yang, Xu
2018
Analysis of multiscale integrators for multiple attractors and irreversible Langevin samplers. Zbl 1409.65006
Lu, Jianfeng; Spiliopoulos, Konstantinos
2018
Nakayama automorphism and applications. Zbl 1396.16004
Lü, J.-F.; Mao, X.-F.; Zhang, J. J.
2017
Validity and regularization of classical half-space equations. Zbl 1367.35176
Li, Qin; Lu, Jianfeng; Sun, Weiran
2017
Weak solution of a continuum model for vicinal surface in the attachment-detachment-limited regime. Zbl 1377.35145
Gao, Yuan; Liu, Jian-Guo; Lu, Jianfeng
2017
A convergent method for linear half-space kinetic equations. Zbl 1380.35006
Li, Qin; Sun, Weiran; Lu, Jianfeng
2017
Continuum limit of a mesoscopic model with elasticity of step motion on vicinal surfaces. Zbl 1365.35174
Gao, Yuan; Liu, Jian-Guo; Lu, Jianfeng
2017
Half-space kinetic equations with general boundary conditions. Zbl 1360.35131
Li, Qin; Lu, Jianfeng; Sun, Weiran
2017
Fractional stochastic differential equations satisfying fluctuation-dissipation theorem. Zbl 1386.82053
Li, Lei; Liu, Jian-Guo; Lu, Jianfeng
2017
Wavepackets in inhomogeneous periodic media: effective particle-field dynamics and Berry curvature. Zbl 1357.81085
Watson, Alexander B.; Lu, Jianfeng; Weinstein, Michael I.
2017
Quasi-nonlocal coupling of nonlocal diffusions. Zbl 1422.65166
Li, Xingjie Helen; Lu, Jianfeng
2017
The Nakayama automorphism of a class of graded algebras. Zbl 1376.16038
Lü, J.-F.; Mao, X.-F.; Zhang, J. J.
2017
Cubic scaling algorithms for RPA correlation using interpolative separable density fitting. Zbl 1375.81259
Lu, Jianfeng; Thicke, Kyle
2017
Orbital minimization method with $$\ell^{1}$$ regularization. Zbl 1375.81099
Lu, Jianfeng; Thicke, Kyle
2017
An asymptotic preserving method for transport equations with oscillatory scattering coefficients. Zbl 1395.65081
Li, Qin; Lu, Jianfeng
2017
Removal of canvas patterns in digital acquisitions of paintings. Zbl 1409.94095
Cornelis, Bruno; Yang, Haizhao; Goodfriend, Alex; Ocon, Noelle; Lu, Jianfeng; Daubechies, Ingrid
2017
Lindblad equation and its semiclassical limit of the Anderson-Holstein model. Zbl 1377.81079
Cao, Yu; Lu, Jianfeng
2017
Preconditioning orbital minimization method for planewave discretization. Zbl 1365.65273
Lu, Jianfeng; Yang, Haizhao
2017
Gauge-invariant frozen Gaussian approximation method for the Schrödinger equation with periodic potentials. Zbl 1346.81043
Delgadillo, Ricardo; Lu, Jianfeng; Yang, Xu
2016
Semi-supervised linear discriminant analysis for dimension reduction and classification. Zbl 1412.68195
Wang, Sheng; Lu, Jianfeng; Gu, Xingjian; Du, Haishun; Yang, Jingyu
2016
Decay estimates of discretized Green’s functions for Schrödinger type operators. Zbl 1354.65218
Lin, Lin; Lu, Jianfeng
2016
Localized density matrix minimization and linear-scaling algorithms. Zbl 1349.82007
Lai, Rongjie; Lu, Jianfeng
2016
Fast algorithm for periodic density fitting for Bloch waves. Zbl 1381.65098
Lu, Jianfeng; Ying, Lexing
2016
Analysis of the divide-and-conquer method for electronic structure calculations. Zbl 1344.65053
Chen, Jingrun; Lu, Jianfeng
2016
Sparsifying preconditioner for soliton calculations. Zbl 1349.65606
Lu, Jianfeng; Ying, Lexing
2016
Traction boundary conditions for molecular static simulations. Zbl 1439.82012
Li, Xiantao; Lu, Jianfeng
2016
Large eddy simulation of flow and mass exchange in an embayment with or without vegetation. Zbl 1471.76040
Lu, J.; Dai, H. C.
2016
Diffusion approximations and domain decomposition method of linear transport equations: asymptotics and numerics. Zbl 1349.82096
Li, Qin; Lu, Jianfeng; Sun, Weiran
2015
Reactive trajectories and the transition path process. Zbl 1343.60074
Lu, Jianfeng; Nolen, James
2015
Density matrix minimization with $${\ell}_1$$ regularization. Zbl 1327.65110
Lai, Rongjie; Lu, Jianfeng; Osher, Stanley
2015
Compression of the electron repulsion integral tensor in tensor hypercontraction format with cubic scaling cost. Zbl 1349.81020
Lu, Jianfeng; Ying, Lexing
2015
Crystal image analysis using 2D synchrosqueezed transforms. Zbl 1336.74016
Yang, Haizhao; Lu, Jianfeng; Ying, Lexing
2015
Strang splitting methods for a quasilinear Schrödinger equation: convergence, instability, and dynamics. Zbl 1326.35349
Lu, Jianfeng; Marzuola, Jeremy L.
2015
Efficient rare event simulation for failure problems in random media. Zbl 1320.65012
Liu, Jingchen; Lu, Jianfeng; Zhou, Xiang
2015
Orbital-free density functional theory of out-of-plane charge screening in graphene. Zbl 1343.82074
Lu, Jianfeng; Moroz, Vitaly; Muratov, Cyrill B.
2015
Nonexistence of a minimizer for Thomas–Fermi–Dirac–von Weizsäcker model. Zbl 1301.49002
Lu, Jianfeng; Otto, Felix
2014
A variational perspective on cloaking by anomalous localized resonance. Zbl 1366.78002
Kohn, R. V.; Lu, J.; Schweizer, B.; Weinstein, M. I.
2014
Stability of a force-based hybrid method with planar sharp interface. Zbl 1307.65148
Lu, Jianfeng; Ming, Pingbing
2014
Multiple kernel clustering based on centered kernel alignment. Zbl 1373.68324
Lu, Yanting; Wang, Liantao; Lu, Jianfeng; Yang, Jingyu; Shen, Chunhua
2014
Convergence of a force-based hybrid method in three dimensions. Zbl 1393.74166
Lu, Jianfeng; Ming, Pingbing
2013
The Kohn-Sham equation for deformed crystals. Zbl 1435.74001
E, Weinan; Lu, Jianfeng
2013
Asymptotic analysis of quantum dynamics in crystals: the Bloch-Wigner transform, Bloch dynamics and Berry phase. Zbl 1278.81084
E, Weinan; Lu, Jian-feng; Yang, Xu
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
Convergence of frozen Gaussian approximation for high-frequency wave propagation. Zbl 1387.35400
Lu, Jianfeng; Yang, Xu
2012
Frozen Gaussian approximation for general linear strictly hyperbolic systems: formulation and Eulerian methods. Zbl 1447.81130
Lu, Jianfeng; Yang, Xu
2012
Optimized local basis set for Kohn-Sham density functional theory. Zbl 1250.82002
Lin, Lin; Lu, Jianfeng; Ying, Lexing; E, Weinan
2012
Stability and the continuum limit of the spin-polarized Thomas-Fermi-Dirac-von Weizsäcker model. Zbl 1278.82054
E, Weinan; Lu, Jianfeng
2012
Synchrosqueezed wavelet transforms: an empirical mode decomposition-like tool. Zbl 1213.42133
Daubechies, Ingrid; Lu, Jianfeng; Wu, Hau-Tieng
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
Frozen Gaussian approximation for high frequency wave propagation. Zbl 1272.65075
Lu, Jianfeng; Yang, Xu
2011
The electronic structure of smoothly deformed crystals: Wannier functions and the Cauchy-Born Rule. Zbl 1253.74025
E, Weinan; Lu, Jianfeng
2011
...and 21 more Documents
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### Cited by 1,095 Authors

 61 Lu, Jianfeng 25 Ying, Lexing 23 Lin, Lin 19 Li, Qin 16 Yang, Haizhao 15 E, Weinan 15 Nguyen, Hoai-Minh 13 Hou, Thomas Yizhao 13 Ortner, Christoph 13 Yang, Xu 12 Steinerberger, Stefan 11 Li, Hongjie 11 Liu, Hongyu 9 Liu, Jianguo 8 Chen, Huajie 8 Chui, Charles Kam-tai 8 Shi, Zuoqiang 8 Topaloglu, Ihsan 8 Wu, Hau-Tieng 7 Hu, Guanghui 7 Li, Yingzhou 7 Ming, Pingbing 7 Muratov, Cyrill B. 7 Novaga, Matteo 7 Xia, Jianlin 6 Chen, Jingrun 6 Choksi, Rustum 6 Frank, Rupert L. 6 Gao, Yuan 6 Gavini, Vikram 6 Jin, Shi 6 Kang, Hyeonbae 6 Knüpfer, Hans 6 Zhang, Lei 5 Alama, Stan 5 Ando, Kazunori 5 Bronsard, Lia 5 Damle, Anil 5 Fan, Yuwei 5 Jiang, Qingtang 5 Stuart, Andrew M. 5 Watson, Alexander B. 5 Xu, Xiangsheng 5 Zepeda-Núñez, Leonardo 4 Bao, Gang 4 Cai, Zhenning 4 Carrillo de la Plata, José Antonio 4 Chen, Ke 4 Daubechies, Ingrid Chantal 4 de Hoop, Maarten V. 4 Deng, Youjun 4 Ghattas, Omar N. 4 Huang, Hui 4 Li, Xiantao 4 Li, Xingjie Helen 4 Liao, Mingjie 4 Liu, Di 4 Lu, Jian 4 Marzuola, Jeremy L. 4 Phan Thành Nam 4 Ruffini, Berardo 4 Shapeev, Alexander V. 4 Xiang, Yang 4 Xu, Zhenli 4 Zhou, Hao-Min 4 Zhou, Zhennan 3 Alexov, Emil 3 An, Dong 3 Bonacini, Marco 3 Borsche, Raul 3 Bui-Thanh, Tan 3 Cancès, Eric 3 Chai, Lihui 3 Delgadillo, Ricardo 3 Ding, Zhiyan 3 Du, Qiang 3 Fang, Di 3 Ghysels, Pieter 3 Goldman, Michael 3 Ho, Kenneth L. 3 Klar, Axel 3 Kuang, Yang 3 Lai, Rongjie 3 Levitt, Antoine 3 Li, Bo 3 Li, Wuchen 3 Li, Xiaoye Sherry 3 Liu, Hailiang 3 Liu, Xiao 3 Lu, Xinyang 3 Mhaskar, Hrushikesh N. 3 Motamarri, Phani 3 Pardo, David 3 Pask, John Ernest 3 Rossi, Julio Daniel 3 Rouet, François-Henry 3 Saad, Yousef 3 Schneider, Reinhold 3 Schweizer, Ben 3 Sun, Weiran ...and 995 more Authors
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### Cited in 165 Serials

 64 Journal of Computational Physics 44 SIAM Journal on Scientific Computing 43 Multiscale Modeling & Simulation 23 SIAM Journal on Mathematical Analysis 21 Journal of Scientific Computing 20 Archive for Rational Mechanics and Analysis 16 Applied and Computational Harmonic Analysis 13 Computer Methods in Applied Mechanics and Engineering 12 Communications in Computational Physics 11 Journal of Mathematical Physics 11 SIAM Journal on Numerical Analysis 11 SIAM Journal on Applied Mathematics 11 Communications in Nonlinear Science and Numerical Simulation 9 Research in the Mathematical Sciences 8 Mathematics of Computation 8 Calculus of Variations and Partial Differential Equations 8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 Science China. Mathematics 7 Communications in Mathematical Physics 7 Journal of Statistical Physics 7 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 7 Nonlinear Dynamics 6 Journal of Differential Equations 6 SIAM Journal on Matrix Analysis and Applications 6 Journal of Nonlinear Science 5 Journal of Mathematical Analysis and Applications 5 Information Sciences 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Numerische Mathematik 5 Pattern Recognition 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Chaos 4 Journal of the Mechanics and Physics of Solids 4 Nonlinearity 4 Physica A 4 Constructive Approximation 4 Discrete and Continuous Dynamical Systems 4 SIAM Journal on Applied Dynamical Systems 4 Acta Numerica 4 SIAM Journal on Imaging Sciences 3 Computers & Mathematics with Applications 3 Communications on Pure and Applied Mathematics 3 Inverse Problems 3 Quarterly of Applied Mathematics 3 Circuits, Systems, and Signal Processing 3 Chinese Annals of Mathematics. Series B 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Physica D 3 Applied Mathematics Letters 3 European Journal of Applied Mathematics 3 Applied Mathematical Modelling 3 Communications in Partial Differential Equations 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Advances in Computational Mathematics 3 Analysis and Applications (Singapore) 3 Journal of Computational and Graphical Statistics 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Advances in Data Science and Adaptive Analysis 2 International Journal of Modern Physics B 2 Journal d’Analyse Mathématique 2 Letters in Mathematical Physics 2 Wave Motion 2 The Annals of Statistics 2 Applied Mathematics and Computation 2 Fuzzy Sets and Systems 2 Indiana University Mathematics Journal 2 Journal of the American Statistical Association 2 Journal of Computational and Applied Mathematics 2 Journal of Functional Analysis 2 The Annals of Applied Probability 2 The Journal of Geometric Analysis 2 Numerical Algorithms 2 International Journal of Computer Mathematics 2 Proceedings of the National Academy of Sciences of the United States of America 2 Numerical Linear Algebra with Applications 2 Bernoulli 2 The Journal of Fourier Analysis and Applications 2 Mathematical Problems in Engineering 2 Abstract and Applied Analysis 2 Mathematical Physics, Analysis and Geometry 2 Annales Henri Poincaré 2 Computational Methods in Applied Mathematics 2 Journal of Machine Learning Research (JMLR) 2 Inverse Problems and Imaging 2 Algorithms 2 Advances in Mathematical Physics 2 GEM - International Journal on Geomathematics 2 Statistics and Computing 2 SIAM/ASA Journal on Uncertainty Quantification 2 Journal de l’École Polytechnique – Mathématiques 2 Pure and Applied Analysis 2 SN Partial Differential Equations and Applications 1 International Journal of Heat and Mass Transfer 1 Journal of the Franklin Institute 1 Journal of Mathematical Biology 1 Mathematical Methods in the Applied Sciences 1 Physics Letters. A 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Acta Mathematica Vietnamica ...and 65 more Serials
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### Cited in 45 Fields

 308 Numerical analysis (65-XX) 252 Partial differential equations (35-XX) 111 Statistical mechanics, structure of matter (82-XX) 81 Quantum theory (81-XX) 65 Statistics (62-XX) 63 Calculus of variations and optimal control; optimization (49-XX) 63 Mechanics of deformable solids (74-XX) 55 Computer science (68-XX) 52 Information and communication theory, circuits (94-XX) 44 Ordinary differential equations (34-XX) 44 Optics, electromagnetic theory (78-XX) 42 Probability theory and stochastic processes (60-XX) 34 Systems theory; control (93-XX) 29 Dynamical systems and ergodic theory (37-XX) 27 Harmonic analysis on Euclidean spaces (42-XX) 25 Operator theory (47-XX) 19 Operations research, mathematical programming (90-XX) 18 Biology and other natural sciences (92-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 17 Fluid mechanics (76-XX) 15 Approximations and expansions (41-XX) 14 Mechanics of particles and systems (70-XX) 9 Integral equations (45-XX) 8 Potential theory (31-XX) 7 Integral transforms, operational calculus (44-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Differential geometry (53-XX) 5 Measure and integration (28-XX) 5 Functional analysis (46-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Geophysics (86-XX) 3 Combinatorics (05-XX) 3 Real functions (26-XX) 3 Functions of a complex variable (30-XX) 3 Astronomy and astrophysics (85-XX) 2 Difference and functional equations (39-XX) 2 Convex and discrete geometry (52-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 $$K$$-theory (19-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Geometry (51-XX) 1 Mathematics education (97-XX)