×
Author ID: shen.jie Recent zbMATH articles by "Shen, Jie"
Published as: Shen, Jie; Shen, J.
External Links: MGP
all top 5

Co-Authors

29 single-authored
23 Wang, Lilian
21 Yang, Xiaofeng
17 Liu, Chun
12 Cheng, Qing
10 Guo, Ben-Yu
10 Li, Xiaoli
8 Chen, Sheng
8 López, Juan Manuel
8 Sheng, Changtao
8 Xu, Chuanju
8 Xu, Jie
8 Yu, Haijun
7 Chen, Feng
7 Feng, James J.
7 Guermond, Jean-Luc
7 Huang, Fukeng
6 Marques, Francisco
6 Yue, Pengtao
5 An, Jing
5 Mao, Zhiping
5 Wang, Qi
5 Wang, Shouhong
5 Wang, Yingwei
5 Zhang, Xiangxiong
4 Bao, Weizhu
4 Chen, Lizhen
4 Gu, Yiqi
4 Ma, Lina
4 Nicholls, David P.
4 Tang, Tao
4 Temam, Roger Meyer
4 Wang, Zhongqing
4 Yang, Jiang
4 Zhuang, Qingqu
3 Cai, Yongyong
3 Dong, Suchuan
3 Forest, Mark Gregory
3 He, Ying
3 Li, Huiyuan
3 Wise, Steven M.
3 Wu, Ke
3 Zhang, Yanrong
2 Alici, Haydar
2 Azaïez, Mejdi
2 Cao, Duo
2 Chen, Hongtao
2 Chen, Wenbin
2 Chen, Ying
2 Choi, Heejun
2 Fang, Qirong
2 Guo, Zhichang
2 Hu, Jingwei
2 Hu, Lina
2 Kwan, Yuen-Yick
2 Li, Peijun
2 Lin, Guang
2 Liu, Qianqian
2 Liu, Xinyu
2 Liu, Zhengguang
2 Lu, Zhiming
2 Luo, Lishi
2 Mao, Jingjing
2 Michaux, Bertrand
2 Minev, Peter Dimitrov
2 Park, Jinhae
2 Pyo, Jae-Hong
2 Rakotoson, Jean-Michel
2 Sengul, Mustafa Taylan
2 Shen, Yi
2 Sun, Jiebao
2 Wang, Cheng
2 Wang, Langdi
2 Wang, Ruodu
2 Wang, Xiaoming
2 Wu, Jiahong
2 Xia, Jianlin
2 Xiu, Dongbin
2 Xu, Chenglong
2 Yang, Zhiguo
2 Yao, Wenjuan
2 Yuan, Juanming
2 Zhang, Jiahao
2 Zhang, Shiheng
2 Zhang, Zhimin
2 Zhao, Jia
2 Zheng, Nan
1 Antoine, Xavier
1 Bai, Xiangyu
1 Brahim, M. Mint
1 Brauner, Claude-Michel
1 Cai, Jiaxiang
1 Chandy, Abhilash J.
1 Chen, Falai
1 Chen, Jia
1 Chen, Zhi
1 Cheng, Ting
1 Cheng, Yongping
1 Colbert-Kelly, Sean
1 Cui, Zhenlu
1 Dai, C. M.
...and 110 more Co-Authors
all top 5

Serials

42 Journal of Computational Physics
29 SIAM Journal on Numerical Analysis
25 Journal of Scientific Computing
23 SIAM Journal on Scientific Computing
11 Mathematics of Computation
10 Applied Numerical Mathematics
9 Communications in Computational Physics
7 Computer Methods in Applied Mechanics and Engineering
7 Numerische Mathematik
6 Journal of Fluid Mechanics
5 Journal of Computational and Applied Mathematics
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 Advances in Computational Mathematics
5 Discrete and Continuous Dynamical Systems
5 Discrete and Continuous Dynamical Systems. Series B
5 Communications in Mathematical Sciences
5 Numerical Mathematics: Theory, Methods and Applications
4 International Journal of Numerical Analysis and Modeling
4 East Asian Journal on Applied Mathematics
3 Mathematical Methods in the Applied Sciences
3 Physica D
3 Mathematical Problems in Engineering
3 Journal of Mathematical Study
3 Science China. Mathematics
2 IMA Journal of Numerical Analysis
2 International Journal for Numerical Methods in Fluids
2 Chinese Annals of Mathematics. Series B
2 Journal of Computational Mathematics
2 RAIRO. Modélisation Mathématique et Analyse Numérique
2 Applied Mathematics Letters
2 Machine Learning
2 Journal of Non-Newtonian Fluid Mechanics
2 Physics of Fluids
2 Journal of Liaoning Normal University. Natural Science Edition
2 Mathematical Biosciences and Engineering
2 Scientia Sinica. Mathematica
1 Applicable Analysis
1 Computers and Fluids
1 Computers & Mathematics with Applications
1 Computer Physics Communications
1 International Journal of Theoretical Physics
1 Wave Motion
1 Fluid Dynamics Research
1 Indiana University Mathematics Journal
1 Information Sciences
1 International Journal for Numerical Methods in Engineering
1 Numerical Functional Analysis and Optimization
1 Acta Applicandae Mathematicae
1 Journal of Statistical Computation and Simulation
1 SIAM Journal on Applied Mathematics
1 SIAM Review
1 Stochastic Processes and their Applications
1 Matemática Aplicada e Computacional
1 Advances in Differential Equations
1 Finance and Stochastics
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 IEEE Transactions on Image Processing
1 Foundations of Computational Mathematics
1 Journal of Machine Learning Research (JMLR)
1 Multiscale Modeling & Simulation
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Springer Series in Computational Mathematics
1 Computational & Mathematical Methods in Medicine
1 Kinetic and Related Models
1 Mathematics Monograph Series
1 Communications on Applied Mathematics and Computation
1 Journal of Computational Physics: X

Publications by Year

Citations contained in zbMATH Open

250 Publications have been cited 10,490 times in 4,733 Documents Cited by Year
Spectral methods. Algorithms, analysis and applications. Zbl 1227.65117
Shen, Jie; Tang, Tao; Wang, Li-Lian
735
2011
An overview of projection methods for incompressible flows. Zbl 1122.76072
Guermond, J. L.; Minev, P.; Shen, Jie
544
2006
Numerical approximations of Allen-Cahn and Cahn-Hilliard equations. Zbl 1201.65184
Shen, Jie; Yang, Xiaofeng
500
2010
The scalar auxiliary variable (SAV) approach for gradient flows. Zbl 1380.65181
Shen, Jie; Xu, Jie; Yang, Jiang
474
2018
Efficient spectral-Galerkin method. I: Direct solvers of second- and fourth-order equations using Legendre polynomials. Zbl 0811.65097
Shen, Jie
319
1994
A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method. Zbl 1092.76069
Liu, Chun; Shen, Jie
301
2003
A new class of efficient and robust energy stable schemes for gradient flows. Zbl 1422.65080
Shen, Jie; Xu, Jie; Yang, Jiang
287
2019
A diffuse-interface method for simulating two-phase flows of complex fluids. Zbl 1130.76437
Yue, Pengtao; Feng, James J.; Liu, Chun; Shen, Jie
272
2004
Spectral and high-order methods with applications. Zbl 1234.65005
Shen, Jie; Tang, Tao
261
2006
Second-order convex splitting schemes for gradient flows with Ehrlich-Schwoebel type energy: Application to thin film epitaxy. Zbl 1247.65088
Shen, Jie; Wang, Cheng; Wang, Xiaoming; Wise, Steven M.
254
2012
A phase-field model and its numerical approximation for two-phase incompressible flows with different densities and viscosities. Zbl 1410.76464
Shen, Jie; Yang, Xiaofeng
187
2010
Convergence and error analysis for the scalar auxiliary variable (SAV) schemes to gradient flows. Zbl 1403.65047
Shen, Jie; Xu, Jie
177
2018
Generalized Jacobi functions and their applications to fractional differential equations. Zbl 1335.65066
Chen, Sheng; Shen, Jie; Wang, Li-Lian
162
2016
Decoupled, energy stable schemes for phase-field models of two-phase incompressible flows. Zbl 1327.65178
Shen, Jie; Yang, Xiaofeng
161
2015
On error estimates of projection methods for Navier-Stokes equations: First-order schemes. Zbl 0741.76051
Shen, Jie
155
1992
Applications of semi-implicit Fourier-spectral method to phase field equations. Zbl 1017.65533
Chen, L. Q.; Shen, Jie
145
1998
Numerical approximations for a three-component Cahn-Hilliard phase-field model based on the invariant energy quadratization method. Zbl 1393.80003
Yang, Xiaofeng; Zhao, Jia; Wang, Qi; Shen, Jie
141
2017
On error estimates of the projection methods for the Navier-Stokes equations: Second-order schemes. Zbl 0855.76049
Shen, Jie
128
1996
On the error estimates for the rotational pressure-correction projection methods. Zbl 1093.76050
Guermond, J. L.; Shen, Jie
128
2004
Velocity-correction projection methods for incompressible flows. Zbl 1130.76395
Guermond, J. L.; Shen, Jie
122
2003
Numerical simulations of jet pinching-off and drop formation using an energetic variational phase-field method. Zbl 1158.76319
Yang, Xiaofeng; Feng, James J.; Liu, Chun; Shen, Jie
119
2006
Efficient spectral-Galerkin method. II: Direct solvers of second- and fourth-order equations using Chebyshev polynomials. Zbl 0840.65113
Shen, Jie
112
1995
Long time stability and convergence for fully discrete nonlinear Galerkin methods. Zbl 0684.65095
Shen, Jie
110
1990
Stable and efficient spectral methods in unbounded domains using Laguerre functions. Zbl 0979.65105
Shen, Jie
100
2000
On error estimates of the penalty method for unsteady Navier-Stokes equations. Zbl 0822.35008
Shen, Jie
98
1995
On the maximum principle preserving schemes for the generalized Allen-Cahn equation. Zbl 1361.65059
Shen, Jie; Tang, Tao; Yang, Jiang
95
2016
Optimal spectral-Galerkin methods using generalized Jacobi polynomials. Zbl 1102.76047
Guo, Benyu; Shen, Jie; Wang, Li-Lian
92
2006
A time-stepping scheme involving constant coefficient matrices for phase-field simulations of two-phase incompressible flows with large density ratios. Zbl 1277.76118
Dong, S.; Shen, J.
84
2012
Energy stable schemes for Cahn-Hilliard phase-field model of two-phase incompressible flows. Zbl 1400.65049
Shen, Jie; Yang, Xiaofeng
84
2010
Some recent advances on spectral methods for unbounded domains. Zbl 1364.65265
Shen, Jie; Wang, Li-Lian
83
2009
A fourth-order time-splitting Laguerre-Hermite pseudospectral method for Bose-Einstein condensates. Zbl 1084.35083
Bao, Weizhu; Shen, Jie
82
2005
A new class of truly consistent splitting schemes for incompressible flows. Zbl 1032.76529
Guermond, J. L.; Shen, Jie
79
2003
A new dual-Petrov-Galerkin method for third and higher odd-order differential equations: Application to the KdV equation. Zbl 1053.65085
Shen, Jie
77
2003
Efficient energy stable numerical schemes for a phase field moving contact line model. Zbl 1351.76184
Shen, Jie; Yang, Xiaofeng; Yu, Haijun
77
2015
Laguerre-Galerkin method for nonlinear partial differential equations on a semi-infinite interval. Zbl 0969.65094
Guo, Ben-Yu; Shen, Jie
76
2000
Efficient, adaptive energy stable schemes for the incompressible Cahn-Hilliard Navier-Stokes phase-field models. Zbl 1352.65229
Chen, Ying; Shen, Jie
75
2016
Efficient and accurate spectral method using generalized Jacobi functions for solving Riesz fractional differential equations. Zbl 1382.65222
Mao, Zhiping; Chen, Sheng; Shen, Jie
72
2016
Energy stability and convergence of SAV block-centered finite difference method for gradient flows. Zbl 1422.65165
Li, Xiaoli; Shen, Jie; Rui, Hongxing
71
2019
Decoupled energy stable schemes for a phase-field model of two-phase incompressible flows with variable density. Zbl 1326.76064
Liu, Chun; Shen, Jie; Yang, Xiaofeng
69
2015
Decoupled energy stable schemes for phase-field models of two-phase complex fluids. Zbl 1288.76057
Shen, Jie; Yang, Xiaofeng
69
2014
Multiple scalar auxiliary variable (MSAV) approach and its application to the phase-field vesicle membrane model. Zbl 1403.65045
Cheng, Qing; Shen, Jie
69
2018
Gauge-Uzawa methods for incompressible flows with variable density. Zbl 1109.76037
Pyo, Jae-Hong; Shen, Jie
63
2007
Efficient spectral-Galerkin methods. III: Polar and cylindrical geometries. Zbl 0890.65117
Shen, Jie
61
1997
Hopf bifurcation of the unsteady regularized driven cavity flow. Zbl 0725.76059
Shen, Jie
61
1991
A decoupled energy stable scheme for a hydrodynamic phase-field model of mixtures of nematic liquid crystals and viscous fluids. Zbl 1349.76019
Zhao, Jia; Yang, Xiaofeng; Shen, Jie; Wang, Qi
61
2016
A new Lagrange multiplier approach for gradient flows. Zbl 1442.65211
Cheng, Qing; Liu, Chun; Shen, Jie
60
2020
Generalized Jacobi polynomials/functions and their applications. Zbl 1171.33006
Guo, Ben-Yu; Shen, Jie; Wang, Li-Lian
59
2009
Efficient spectral-Galerkin methods for fractional partial differential equations with variable coefficients. Zbl 1352.65395
Mao, Zhiping; Shen, Jie
59
2016
Fourierization of the Legendre-Galerkin method and a new space-time spectral method. Zbl 1118.65111
Shen, Jie; Wang, Li-Lian
58
2007
A rational approximation and its applications to differential equations on the half line. Zbl 0984.65104
Guo, Benyu; Shen, Jie; Wang, Zhongqing
57
2000
An efficient, energy stable scheme for the Cahn-Hilliard-Brinkman system. Zbl 1373.76161
Collins, Craig; Shen, Jie; Wise, Steven M.
53
2013
Error analysis of pressure-correction schemes for the time-dependent Stokes equations with open boundary conditions. Zbl 1083.76044
Guermond, J. L.; Minev, P.; Shen, J.
52
2005
An efficient moving mesh spectral method for the phase-field model of two-phase flows. Zbl 1159.76032
Shen, Jie; Yang, Xiaofeng
52
2009
Highly efficient and accurate numerical schemes for the epitaxial thin film growth models by using the SAV approach. Zbl 1444.76020
Cheng, Qing; Shen, Jie; Yang, Xiaofeng
52
2019
A generalized-Laguerre-Fourier-Hermite pseudospectral method for computing the dynamics of rotating Bose-Einstein condensates. Zbl 1205.82096
Bao, Weizhu; Li, Hailiang; Shen, Jie
50
2009
A highly efficient and accurate new scalar auxiliary variable approach for gradient flows. Zbl 1451.65210
Huang, Fukeng; Shen, Jie; Yang, Zhiguo
49
2020
Chebyshev rational spectral and pseudospectral methods on a semi-infinite interval. Zbl 1001.65129
Guo, Benyu; Shen, Jie; Wang, Zhongqing
48
2002
Spectral and pseudospectral approximations using Hermite functions: Application to the Dirac equation. Zbl 1032.33004
Guo, Ben-yu; Shen, Jie; Xu, Cheng-long
47
2003
Efficient energy stable schemes with spectral discretization in space for anisotropic Cahn-Hilliard systems. Zbl 1388.65117
Chen, Feng; Shen, Jie
47
2013
On error estimates of some higher order penalty-projection methods for Navier-Stokes equations. Zbl 0782.76025
Shen, Jie
45
1992
Efficient stochastic Galerkin methods for random diffusion equations. Zbl 1161.65008
Xiu, Dongbin; Shen, Jie
45
2009
Efficient and accurate numerical schemes for a hydro-dynamically coupled phase field diblock copolymer model. Zbl 1380.65203
Cheng, Qing; Yang, Xiaofeng; Shen, Jie
44
2017
Efficient spectral sparse grid methods and applications to high-dimensional elliptic problems. Zbl 1233.65094
Shen, Jie; Yu, Haijun
43
2010
The IEQ and SAV approaches and their extensions for a class of highly nonlinear gradient flow systems. Zbl 1484.65196
Shen, Jie; Yang, Xiaofeng
41
2020
Pressure boundary condition for the time-dependent incompressible Navier-Stokes equations. Zbl 1155.76322
Sani, R. L.; Shen, J.; Pironneau, O.; Gresho, P. M.
39
2006
Diffuse-interface simulations of drop coalescence and retraction in viscoelastic fluids. Zbl 1195.76120
Yue, Pengtao; Feng, James J.; Liu, Chun; Shen, Jie
39
2005
On spectral approximations using modified Legendre rational functions: Application to the Korteweg-de Vries equation on the half line. Zbl 0992.65111
Guo, Ben-Yu; Shen, Jie
38
2001
Error analysis of the SAV-MAC scheme for the Navier-Stokes equations. Zbl 1452.65167
Li, Xiaoli; Shen, Jie
38
2020
Stability and error estimates of the SAV Fourier-spectral method for the phase field crystal equation. Zbl 1442.65294
Li, Xiaoli; Shen, Jie
38
2020
An efficient spectral-projection method for the Navier-Stokes equations in cylindrical geometries. I: Axisymmetric cases. Zbl 0908.76068
Lopez, J. M.; Shen, Jie
36
1998
Remarks on the pressure error estimates for the projection methods. Zbl 0802.76060
Shen, Jie
36
1994
Two classes of linearly implicit local energy-preserving approach for general multi-symplectic Hamiltonian PDEs. Zbl 1453.65437
Cai, Jiaxiang; Shen, Jie
36
2020
A spectral-element method for transmission eigenvalue problems. Zbl 1292.65119
An, Jing; Shen, Jie
36
2013
An energetic variational formulation with phase field methods for interfacial dynamics of complex fluids: advantages and challenges. Zbl 1181.76019
Feng, James J.; Liu, Chun; Shen, Jie; Yue, Pengtao
35
2005
Mass and volume conservation in phase field models for binary fluids. Zbl 1373.76317
Shen, Jie; Yang, Xiaofeng; Wang, Qi
35
2013
Hermite spectral methods for fractional PDEs in unbounded domains. Zbl 1373.65075
Mao, Zhiping; Shen, Jie
35
2017
Stabilized semi-implicit spectral deferred correction methods for Allen-Cahn and Cahn-Hilliard equations. Zbl 1335.65078
Liu, Fei; Shen, Jie
34
2015
Dynamics of defect motion in nematic liquid crystal flow: modeling and numerical simulation. Zbl 1164.76422
Liu, Chun; Shen, Jie; Yang, Xiaofeng
33
2007
Spectral approximation of the Helmholtz equation with high wave numbers. Zbl 1091.65119
Shen, Jie; Wang, Li-Lian
32
2005
On numerical approximations of forward-backward stochastic differential equations. Zbl 1177.60064
Ma, Jin; Shen, Jie; Zhao, Yanhong
31
2008
Viscoelastic effects on drop deformation in steady shear. Zbl 1082.76007
Yue, Pengtao; Feng, James J.; Liu, Chun; Shen, Jie
31
2005
Analysis of a spectral-Galerkin approximation to the Helmholtz equation in exterior domains. Zbl 1154.65082
Shen, Jie; Wang, Li-Lian
31
2007
On error estimates of some higher order penalty-projection methods for Navier-Stokes equations. Zbl 0739.76017
Shen, Jie
30
1992
Fast Fourier-like mapped Chebyshev spectral-Galerkin methods for PDEs with integral fractional Laplacian in unbounded domains. Zbl 1450.65154
Sheng, Changtao; Shen, Jie; Tang, Tao; Wang, Li-Lian; Yuan, Huifang
28
2020
Sparse spectral approximations of high-dimensional problems based on hyperbolic cross. Zbl 1215.65179
Shen, Jie; Wang, Li-Lian
27
2010
A triangular spectral element method using fully tensorial rational basis functions. Zbl 1197.65187
Shen, Jie; Wang, Li-Lian; Li, Huiyuan
27
2009
Modeling and simulations of drop pinch-off from liquid crystal filaments and the leaky liquid crystal faucet immersed in viscous fluids. Zbl 1286.65112
Yang, Xiaofeng; Forest, M. Gregory; Li, Huiyuan; Liu, Chun; Shen, Jie; Wang, Qi; Chen, Falai
27
2013
A stable high-order method for two-dimensional bounded-obstacle scattering. Zbl 1130.78007
Nicholls, David P.; Shen, Jie
26
2006
Error estimates for time discretizations of Cahn-Hilliard and Allen-Cahn phase-field models for two-phase incompressible flows. Zbl 1382.35184
Cai, Yongyong; Choi, Heejun; Shen, Jie
26
2017
New SAV-pressure correction methods for the Navier-Stokes equations: stability and error Analysis. Zbl 1479.35625
Li, Xiaoli; Shen, Jie; Liu, Zhengguang
26
2022
A stable, high-order method for three-dimensional, bounded-obstacle, acoustic scattering. Zbl 1123.76049
Fang, Qirong; Nicholls, David P.; Shen, Jie
24
2007
Generalized Laguerre approximation and its applications to exterior problems. Zbl 1073.65130
Guo, Benyu; Shen, Jie; Xu, Chenglong
24
2005
Efficient energy stable schemes for isotropic and strongly anisotropic Cahn-Hilliard systems with the Willmore regularization. Zbl 1395.65014
Chen, Ying; Lowengrub, John; Shen, Jie; Wang, Cheng; Wise, Steven
24
2018
Global constraints preserving scalar auxiliary variable schemes for gradient flows. Zbl 1456.65087
Cheng, Qing; Shen, Jie
24
2020
Efficient SAV approach for imaginary time gradient flows with applications to one- and multi-component Bose-Einstein condensates. Zbl 1452.65116
Zhuang, Qingqu; Shen, Jie
24
2019
Spectral element method with geometric mesh for two-sided fractional differential equations. Zbl 1397.65305
Mao, Zhiping; Shen, Jie
24
2018
Error estimates for a fully discretized scheme to a Cahn-Hilliard phase-field model for two-phase incompressible flows. Zbl 1390.35225
Cai, Yongyong; Shen, Jie
23
2018
An efficient spectral method for acoustic scattering from rough surfaces. Zbl 1164.65303
Xiu, Dongbin; Shen, Jie
23
2007
An efficient spectral-projection method for the Navier-Stokes equations in cylindrical geometries. II: Three-dimensional cases. Zbl 1130.76392
Lopez, J. M.; Marques, F.; Shen, Jie
23
2002
On a SAV-MAC scheme for the Cahn-Hilliard-Navier-Stokes phase-field model and its error analysis for the corresponding Cahn-Hilliard-Stokes case. Zbl 1471.65106
Li, Xiaoli; Shen, Jie
23
2020
A Ginzburg-Landau-\({H}^{-1}\) model and its SAV algorithm for image inpainting. Zbl 1522.65164
Bai, Xiangyu; Sun, Jiebao; Shen, Jie; Yao, Wenjuan; Guo, Zhichang
1
2023
A variable time-step IMEX-BDF2 SAV scheme and its sharp error estimate for the Navier-Stokes equations. Zbl 07737653
Di, Yana; Ma, Yuheng; Shen, Jie; Zhang, Jiwei
1
2023
A fictitious domain spectral method for solving the Helmholtz equation in exterior domains. Zbl 07698882
Gu, Yiqi; Shen, Jie
1
2023
New SAV-pressure correction methods for the Navier-Stokes equations: stability and error Analysis. Zbl 1479.35625
Li, Xiaoli; Shen, Jie; Liu, Zhengguang
26
2022
A new class of implicit-explicit BDF\(k\) SAV schemes for general dissipative systems and their error analysis. Zbl 1507.65152
Huang, Fukeng; Shen, Jie
20
2022
A generalized SAV approach with relaxation for dissipative systems. Zbl 07540356
Zhang, Yanrong; Shen, Jie
20
2022
A new Lagrange multiplier approach for constructing structure preserving schemes. I: Positivity preserving. Zbl 1507.65195
Cheng, Qing; Shen, Jie
15
2022
A new class of higher-order decoupled schemes for the incompressible Navier-Stokes equations and applications to rotating dynamics. Zbl 07527723
Wu, Ke; Huang, Fukeng; Shen, Jie
10
2022
Stability and error analysis of IMEX SAV schemes for the magneto-hydrodynamic equations. Zbl 1492.65269
Li, Xiaoli; Wang, Weilong; Shen, Jie
10
2022
A new Lagrange multiplier approach for constructing structure preserving schemes. II: Bound preserving. Zbl 1491.65110
Cheng, Qing; Shen, Jie
9
2022
On fully decoupled MSAV schemes for the Cahn-Hilliard-Navier-Stokes model of two-phase incompressible flows. Zbl 07524187
Li, Xiaoli; Shen, Jie
8
2022
Error estimates and blow-up analysis of a finite-element approximation for the parabolic-elliptic Keller-Segel system. Zbl 1485.65102
Chen, Wenbin; Liu, Qianqian; Shen, Jie
7
2022
Discrete maximum principle of a high order finite difference scheme for a generalized Allen-Cahn equation. Zbl 1489.65124
Shen, Jie; Zhang, Xiangxiong
7
2022
Efficient linear and unconditionally energy stable schemes for the modified phase field crystal equation. Zbl 07595981
Li, Xiaoli; Shen, Jie
5
2022
Log orthogonal functions: approximation properties and applications. Zbl 1481.65037
Chen, Sheng; Shen, Jie
5
2022
Bound/positivity preserving and unconditionally stable schemes for a class of fourth order nonlinear equations. Zbl 07525157
Huang, Fukeng; Shen, Jie; Wu, Ke
4
2022
Modeling and simulation of cell nuclear architecture reorganization process. Zbl 07524801
Cheng, Qing; Delafrouz, Pourya; Liang, Jie; Liu, Chun; Shen, Jie
2
2022
A fast Petrov-Galerkin spectral method for the multidimensional Boltzmann equation using mapped Chebyshev functions. Zbl 1490.35247
Hu, Jingwei; Huang, Xiaodong; Shen, Jie; Yang, Haizhao
2
2022
Boundary-confined waves in a librating cube. Zbl 07628418
Lopez, Juan M.; Shen, Jie; Welfert, Bruno D.; Wu, Ke
1
2022
Scalar auxiliary variable/Lagrange multiplier based pseudospectral schemes for the dynamics of nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 07505911
Antoine, Xavier; Shen, Jie; Tang, Qinglin
22
2021
Unconditionally positivity preserving and energy dissipative schemes for Poisson-Nernst-Planck equations. Zbl 1491.65086
Shen, Jie; Xu, Jie
18
2021
Generalized SAV approaches for gradient systems. Zbl 1475.65066
Cheng, Qing; Liu, Chun; Shen, Jie
14
2021
Bound/positivity preserving and energy stable scalar auxiliary variable schemes for dissipative systems: applications to Keller-Segel and Poisson-Nernst-Planck equations. Zbl 1512.65229
Huang, Fukeng; Shen, Jie
12
2021
A bound-preserving high order scheme for variable density incompressible Navier-Stokes equations. Zbl 07508502
Li, Maojun; Cheng, Yongping; Shen, Jie; Zhang, Xiangxiong
12
2021
Stability and error analysis of a class of high-order IMEX schemes for Navier-Stokes equations with periodic boundary conditions. Zbl 1496.65180
Huang, Fukeng; Shen, Jie
11
2021
Efficient structure preserving schemes for the Klein-Gordon-Schrödinger equations. Zbl 1477.35198
Zhang, Yanrong; Shen, Jie
8
2021
An efficient spectral method for elliptic PDEs in complex domains with circular embedding. Zbl 1468.65211
Gu, Yiqi; Shen, Jie
5
2021
Computing interface with quasiperiodicity. Zbl 07508468
Cao, Duo; Shen, Jie; Xu, Jie
5
2021
Efficient and accurate SAV schemes for the generalized Zakharov systems. Zbl 1465.35362
Shen, Jie; Zheng, Nan
3
2021
Second-order SAV schemes for the nonlinear Schrödinger equation and their error analysis. Zbl 1491.65111
Deng, Beichuan; Shen, Jie; Zhuang, Qingqu
2
2021
Efficient spectral methods for PDEs with spectral fractional Laplacian. Zbl 1476.65320
Sheng, Changtao; Cao, Duo; Shen, Jie
1
2021
A new Lagrange multiplier approach for gradient flows. Zbl 1442.65211
Cheng, Qing; Liu, Chun; Shen, Jie
60
2020
A highly efficient and accurate new scalar auxiliary variable approach for gradient flows. Zbl 1451.65210
Huang, Fukeng; Shen, Jie; Yang, Zhiguo
49
2020
The IEQ and SAV approaches and their extensions for a class of highly nonlinear gradient flow systems. Zbl 1484.65196
Shen, Jie; Yang, Xiaofeng
41
2020
Error analysis of the SAV-MAC scheme for the Navier-Stokes equations. Zbl 1452.65167
Li, Xiaoli; Shen, Jie
38
2020
Stability and error estimates of the SAV Fourier-spectral method for the phase field crystal equation. Zbl 1442.65294
Li, Xiaoli; Shen, Jie
38
2020
Two classes of linearly implicit local energy-preserving approach for general multi-symplectic Hamiltonian PDEs. Zbl 1453.65437
Cai, Jiaxiang; Shen, Jie
36
2020
Fast Fourier-like mapped Chebyshev spectral-Galerkin methods for PDEs with integral fractional Laplacian in unbounded domains. Zbl 1450.65154
Sheng, Changtao; Shen, Jie; Tang, Tao; Wang, Li-Lian; Yuan, Huifang
28
2020
Global constraints preserving scalar auxiliary variable schemes for gradient flows. Zbl 1456.65087
Cheng, Qing; Shen, Jie
24
2020
On a SAV-MAC scheme for the Cahn-Hilliard-Navier-Stokes phase-field model and its error analysis for the corresponding Cahn-Hilliard-Stokes case. Zbl 1471.65106
Li, Xiaoli; Shen, Jie
23
2020
Optimal error estimates for the scalar auxiliary variable finite-element schemes for gradient flows. Zbl 1440.65192
Chen, Hongtao; Mao, Jingjing; Shen, Jie
23
2020
A spectrally accurate approximation to subdiffusion equations using the log orthogonal functions. Zbl 1434.65291
Chen, Sheng; Shen, Jie; Zhang, Zhimin; Zhou, Zhi
20
2020
Unconditionally bound preserving and energy dissipative schemes for a class of Keller-Segel equations. Zbl 1440.65101
Shen, Jie; Xu, Jie
18
2020
Error estimate of Gauge-Uzawa methods for incompressible flows with variable density. Zbl 1427.76124
Chen, Hongtao; Mao, Jingjing; Shen, Jie
9
2020
An efficient and accurate numerical method for the spectral fractional Laplacian equation. Zbl 1433.65235
Chen, Sheng; Shen, Jie
8
2020
Bound preserving and energy dissipative schemes for porous medium equation. Zbl 1436.65101
Gu, Yiqi; Shen, Jie
5
2020
A total fractional-order variation model for image super-resolution and its SAV algorithm. Zbl 1439.65100
Yao, Wenjuan; Shen, Jie; Guo, Zhichang; Sun, Jiebao; Wu, Boying
5
2020
Accurate and efficient spectral methods for elliptic PDEs in complex domains. Zbl 1440.65160
Gu, Yiqi; Shen, Jie
4
2020
A Petrov-Galerkin spectral method for the inelastic Boltzmann equation using mapped Chebyshev functions. Zbl 1446.65128
Hu, Jingwei; Shen, Jie; Wang, Yingwei
3
2020
Stability and error analysis of operator splitting methods for American options under the Black-Scholes model. Zbl 1433.91173
Chen, Feng; Shen, Jie
3
2020
A new interface capturing method for Allen-Cahn type equations based on a flow dynamic approach in Lagrangian coordinates. I: One-dimensional case. Zbl 07507218
Cheng, Qing; Liu, Chun; Shen, Jie
3
2020
A new class of efficient and robust energy stable schemes for gradient flows. Zbl 1422.65080
Shen, Jie; Xu, Jie; Yang, Jiang
287
2019
Energy stability and convergence of SAV block-centered finite difference method for gradient flows. Zbl 1422.65165
Li, Xiaoli; Shen, Jie; Rui, Hongxing
71
2019
Highly efficient and accurate numerical schemes for the epitaxial thin film growth models by using the SAV approach. Zbl 1444.76020
Cheng, Qing; Shen, Jie; Yang, Xiaofeng
52
2019
Efficient SAV approach for imaginary time gradient flows with applications to one- and multi-component Bose-Einstein condensates. Zbl 1452.65116
Zhuang, Qingqu; Shen, Jie
24
2019
An efficient space-time method for time fractional diffusion equation. Zbl 1466.65214
Shen, Jie; Sheng, Chang-Tao
12
2019
Stability and convergence analysis of rotational velocity correction methods for the Navier-Stokes equations. Zbl 1435.65119
Chen, Feng; Shen, Jie
10
2019
Efficient and accurate structure preserving schemes for complex nonlinear systems. Zbl 1446.65213
Shen, Jie
5
2019
Distributional compatibility for change of measures. Zbl 1420.60027
Shen, Jie; Shen, Yi; Wang, Bin; Wang, Ruodu
4
2019
Fast structured Jacobi-Jacobi transforms. Zbl 07040627
Shen, Jie; Wang, Yingwei; Xia, Jianlin
3
2019
Fundamental gaps of the fractional Schrödinger operator. Zbl 1429.35195
Bao, Weizhu; Ruan, Xinran; Shen, Jie; Sheng, Changtao
2
2019
The scalar auxiliary variable (SAV) approach for gradient flows. Zbl 1380.65181
Shen, Jie; Xu, Jie; Yang, Jiang
474
2018
Convergence and error analysis for the scalar auxiliary variable (SAV) schemes to gradient flows. Zbl 1403.65047
Shen, Jie; Xu, Jie
177
2018
Multiple scalar auxiliary variable (MSAV) approach and its application to the phase-field vesicle membrane model. Zbl 1403.65045
Cheng, Qing; Shen, Jie
69
2018
Efficient energy stable schemes for isotropic and strongly anisotropic Cahn-Hilliard systems with the Willmore regularization. Zbl 1395.65014
Chen, Ying; Lowengrub, John; Shen, Jie; Wang, Cheng; Wise, Steven
24
2018
Spectral element method with geometric mesh for two-sided fractional differential equations. Zbl 1397.65305
Mao, Zhiping; Shen, Jie
24
2018
Error estimates for a fully discretized scheme to a Cahn-Hilliard phase-field model for two-phase incompressible flows. Zbl 1390.35225
Cai, Yongyong; Shen, Jie
23
2018
Stabilized predictor-corrector schemes for gradient flows with strong anisotropic free energy. Zbl 1475.82027
Shen, Jie; Xu, Jie
15
2018
Laguerre functions and their applications to tempered fractional differential equations on infinite intervals. Zbl 1398.65314
Chen, Sheng; Shen, Jie; Wang, Li-Lian
14
2018
A space-time Petrov-Galerkin spectral method for time fractional diffusion equation. Zbl 1438.65308
Sheng, Changtao; Shen, Jie
11
2018
Enriched spectral methods and applications to problems with weakly singular solutions. Zbl 1406.65123
Chen, Sheng; Shen, Jie
10
2018
A tight bound of hard thresholding. Zbl 1473.62287
Shen, Jie; Li, Ping
8
2018
Highly efficient and accurate spectral approximation of the angular Mathieu equation for any parameter values \(q\). Zbl 1424.65119
Alici, Haydar; Shen, Jie
4
2018
Wavenumber explicit analysis for time-harmonic Maxwell equations in a spherical shell and spectral approximations. Zbl 1477.78001
Ma, Lina; Shen, Jie; Wang, Li-Lian; Yang, Zhiguo
4
2018
The spectral-Galerkin approximation of nonlinear eigenvalue problems. Zbl 1394.65137
An, Jing; Shen, Jie; Zhang, Zhimin
2
2018
Approximations on \(\mathrm{SO}(3)\) by Wigner D-matrix and applications. Zbl 1398.65321
Shen, Jie; Xu, Jie; Zhang, Pingwen
1
2018
Preconditioning techniques in Chebyshev collocation method for elliptic equations. Zbl 1408.35025
Fang, Zhi-Wei; Shen, Jie; Sun, Hai-Wei
1
2018
Numerical approximations for a three-component Cahn-Hilliard phase-field model based on the invariant energy quadratization method. Zbl 1393.80003
Yang, Xiaofeng; Zhao, Jia; Wang, Qi; Shen, Jie
141
2017
Efficient and accurate numerical schemes for a hydro-dynamically coupled phase field diblock copolymer model. Zbl 1380.65203
Cheng, Qing; Yang, Xiaofeng; Shen, Jie
44
2017
Hermite spectral methods for fractional PDEs in unbounded domains. Zbl 1373.65075
Mao, Zhiping; Shen, Jie
35
2017
Error estimates for time discretizations of Cahn-Hilliard and Allen-Cahn phase-field models for two-phase incompressible flows. Zbl 1382.35184
Cai, Yongyong; Choi, Heejun; Shen, Jie
26
2017
Unconditionally stable Gauge-Uzawa finite element schemes for incompressible natural convection problems with variable density. Zbl 1380.76132
Wu, Jilian; Shen, Jie; Feng, Xinlong
17
2017
A hybrid spectral element method for fractional two-point boundary value problems. Zbl 1413.65307
Sheng, Changtao; Shen, Jie
14
2017
A stable scheme and its convergence analysis for a 2D dynamic \(Q\)-tensor model of nematic liquid crystals. Zbl 1368.76048
Cai, Yongyong; Shen, Jie; Xu, Xiang
9
2017
A nodal sparse grid spectral element method for multi-dimensional elliptic partial differential equations. Zbl 1429.65287
Rong, Zhijian; Shen, Jie; Yu, Haijun
2
2017
Numerical analysis and simulation for a generalized planar Ginzburg-Landau equation in a circular geometry. Zbl 1367.65142
Colbert-Kelly, Sean; McFadden, Geoffrey B.; Phillips, Daniel; Shen, Jie
2
2017
Online optimization for max-norm regularization. Zbl 1454.68132
Shen, Jie; Xu, Huan; Li, Ping
2
2017
Highly accurate pseudospectral approximations of the prolate spheroidal wave equation for any bandwidth parameter and zonal wavenumber. Zbl 1416.65224
Alıcı, H.; Shen, Jie
1
2017
The generation of symmetric and asymmetric lumps by a bottom topography. Zbl 1524.35539
Hu, Wencheng; Huang, Wenhua; Shen, Jie; Lu, Zhiming
1
2017
Generalized Jacobi functions and their applications to fractional differential equations. Zbl 1335.65066
Chen, Sheng; Shen, Jie; Wang, Li-Lian
162
2016
On the maximum principle preserving schemes for the generalized Allen-Cahn equation. Zbl 1361.65059
Shen, Jie; Tang, Tao; Yang, Jiang
95
2016
Efficient, adaptive energy stable schemes for the incompressible Cahn-Hilliard Navier-Stokes phase-field models. Zbl 1352.65229
Chen, Ying; Shen, Jie
75
2016
Efficient and accurate spectral method using generalized Jacobi functions for solving Riesz fractional differential equations. Zbl 1382.65222
Mao, Zhiping; Chen, Sheng; Shen, Jie
72
2016
A decoupled energy stable scheme for a hydrodynamic phase-field model of mixtures of nematic liquid crystals and viscous fluids. Zbl 1349.76019
Zhao, Jia; Yang, Xiaofeng; Shen, Jie; Wang, Qi
61
2016
Efficient spectral-Galerkin methods for fractional partial differential equations with variable coefficients. Zbl 1352.65395
Mao, Zhiping; Shen, Jie
59
2016
Efficient splitting schemes for magneto-hydrodynamic equations. Zbl 1388.76224
Choi, Heejun; Shen, Jie
19
2016
Müntz-Galerkin methods and applications to mixed Dirichlet-Neumann boundary value problems. Zbl 1416.65482
Shen, Jie; Wang, Yingwei
19
2016
Fast structured direct spectral methods for differential equations with variable coefficients. I. The one-dimensional case. Zbl 1330.65124
Shen, Jie; Wang, Yingwei; Xia, Jianlin
12
2016
A hybrid spectral element method for Volterra integral equations with weakly singular kernel. Zbl 1499.65770
Sheng, Changtao; Shen, Jie
3
2016
Two-phase Stefan problem with smoothed enthalpy. Zbl 1349.35433
Azaïez, M.; Jelassi, F.; Brahim, M. Mint; Shen, J.
2
2016
...and 150 more Documents
all top 5

Cited by 5,342 Authors

124 Shen, Jie
118 Yang, Xiaofeng
59 Wang, Cheng
58 He, Yinnian
57 Guo, Ben-Yu
53 Kim, Junseok
53 Wang, Lilian
51 Feng, Xinlong
51 Wang, Yushun
47 Wang, Qi
45 Wang, Zhongqing
45 Zhao, Jia
44 Chen, Yanping
42 Wise, Steven M.
38 Zhang, Zhimin
37 Mei, Liquan
35 Gong, Yuezheng
35 Huang, Yunqing
34 Liu, Chun
33 Dehghan Takht Fooladi, Mehdi
33 Li, Huiyuan
33 Xu, Chuanju
30 Chen, Wenbin
30 Karniadakis, George Em
30 Wang, Hong
30 Zaky, Mahmoud A.
29 Ju, Lili
29 Qiao, Zhonghua
29 Zhang, Jun
28 Doha, Eid H.
28 Dong, Suchuan
28 Yang, Junxiang
27 Li, Xiaoli
27 Li, Yibao
26 Sun, Shuyu
25 Bao, Weizhu
25 Cai, Wenjun
25 Chen, Chuanjun
25 Tang, Tao
25 Wang, Tianjun
24 Du, Qiang
24 Hou, Yanren
24 Kou, Jisheng
23 Bhrawy, Ali Hassan
23 Han, Daozhi
23 Nicholls, David P.
23 Wang, Xiaoming
22 An, Jing
22 Guermond, Jean-Luc
22 He, Xiaoming
22 Jiang, Chaolong
22 Zheng, Xiangcheng
21 López, Juan Manuel
21 Qian, Xu
21 Song, Songhe
20 Lee, Hyun Geun
20 Li, Jian
20 Parand, Kourosh
19 Cai, Yongyong
19 Chen, Lizhen
19 Hendy, Ahmed S.
19 Jia, Hongen
19 Lin, Ping
19 Liu, Wen-Jie
19 Zhang, Tong
18 Guillén González, Francisco M.
18 Li, Buyang
18 Ma, Heping
18 Miranville, Alain M.
18 Wu, Boying
18 Zhang, Zhengru
17 Li, Dongfang
17 Liu, Zhengguang
17 Mao, Zhiping
17 Yang, Jiang
17 Yang, Yidu
17 Yi, Lijun
16 Jiang, Xiaoyun
16 Li, Xiao
16 Liu, Fawang
16 Su, Haiyan
16 Wu, Hao
16 Zhang, Hong
16 Zhang, Luming
16 Zhou, Jianwei
15 Hong, Qi
15 Hou, Dianming
15 Lowengrub, John Samuel
15 Marques, Francisco
15 Minev, Peter Dimitrov
15 Si, Zhiyong
15 Wang, Quan
15 Yang, Yin
14 Azaïez, Mejdi
14 Bi, Hai
14 Feng, James J.
14 Grasselli, Maurizio
14 Han, Jiayu
14 Huang, Pengzhan
14 Liao, HongLin
...and 5,242 more Authors
all top 5

Cited in 344 Serials

613 Journal of Computational Physics
374 Journal of Scientific Computing
221 Applied Numerical Mathematics
196 Journal of Computational and Applied Mathematics
192 Computers & Mathematics with Applications
175 Computer Methods in Applied Mechanics and Engineering
120 Computers and Fluids
118 Applied Mathematics and Computation
116 SIAM Journal on Scientific Computing
105 Journal of Fluid Mechanics
96 SIAM Journal on Numerical Analysis
93 Numerical Methods for Partial Differential Equations
86 Numerical Algorithms
85 Communications in Computational Physics
74 International Journal of Computer Mathematics
72 Mathematics of Computation
71 Communications in Nonlinear Science and Numerical Simulation
68 Applied Mathematics Letters
67 Advances in Computational Mathematics
57 Mathematical Methods in the Applied Sciences
54 Computer Physics Communications
54 Discrete and Continuous Dynamical Systems. Series B
47 Numerische Mathematik
46 Advances in Applied Mathematics and Mechanics
45 Mathematics and Computers in Simulation
45 Computational and Applied Mathematics
39 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
36 Journal of Mathematical Analysis and Applications
35 Physics of Fluids
32 Applied Mathematical Modelling
28 East Asian Journal on Applied Mathematics
26 International Journal for Numerical Methods in Fluids
23 Physica D
23 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
23 Science China. Mathematics
22 International Journal of Numerical Analysis and Modeling
21 Advances in Difference Equations
19 Calcolo
19 Mathematical Problems in Engineering
19 Discrete and Continuous Dynamical Systems. Series S
18 Journal of Applied Mathematics and Computing
17 Communications on Applied Mathematics and Computation
16 International Journal for Numerical Methods in Engineering
15 BIT
15 Journal of Differential Equations
15 SIAM Journal on Applied Mathematics
15 Computational Methods in Applied Mathematics
14 Chaos, Solitons and Fractals
14 Abstract and Applied Analysis
13 Nonlinear Dynamics
13 Journal of Mathematical Fluid Mechanics
13 Numerical Mathematics: Theory, Methods and Applications
12 Applicable Analysis
12 Journal of Computational Mathematics
12 Engineering Analysis with Boundary Elements
12 Fractional Calculus & Applied Analysis
11 SIAM Journal on Mathematical Analysis
11 International Journal of Computational Fluid Dynamics
11 European Journal of Mechanics. B. Fluids
11 Journal of Applied Mathematics
11 Frontiers of Mathematics in China
10 Numerical Functional Analysis and Optimization
10 Computational Mechanics
10 Communications on Pure and Applied Analysis
9 Archive for Rational Mechanics and Analysis
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
9 Applied Mathematics and Mechanics. (English Edition)
9 Chinese Annals of Mathematics. Series B
9 Journal of Non-Newtonian Fluid Mechanics
9 International Journal of Numerical Methods for Heat & Fluid Flow
9 Discrete and Continuous Dynamical Systems
9 International Journal of Nonlinear Sciences and Numerical Simulation
9 Mathematical Modelling and Analysis
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
9 Journal of Function Spaces
8 Acta Mechanica
8 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
8 Nonlinear Analysis. Real World Applications
8 International Journal of Computational Methods
8 International Journal of Applied and Computational Mathematics
7 ZAMP. Zeitschrift für angewandte Mathematik und Physik
7 Journal of Approximation Theory
7 Acta Mathematica Scientia. Series B. (English Edition)
7 Multiscale Modeling & Simulation
7 Acta Numerica
7 Boundary Value Problems
7 S\(\vec{\text{e}}\)MA Journal
7 AIMS Mathematics
7 Electronic Research Archive
6 Journal of Inequalities and Applications
6 Networks and Heterogeneous Media
6 Mathematical Sciences
6 SIAM/ASA Journal on Uncertainty Quantification
5 International Journal of Engineering Science
5 Journal of Engineering Mathematics
5 Journal of Statistical Physics
5 Acta Applicandae Mathematicae
5 Acta Mathematicae Applicatae Sinica. English Series
5 Mathematical and Computer Modelling
5 Asymptotic Analysis
...and 244 more Serials
all top 5

Cited in 51 Fields

3,582 Numerical analysis (65-XX)
2,211 Partial differential equations (35-XX)
1,873 Fluid mechanics (76-XX)
263 Mechanics of deformable solids (74-XX)
241 Ordinary differential equations (34-XX)
234 Statistical mechanics, structure of matter (82-XX)
190 Approximations and expansions (41-XX)
185 Real functions (26-XX)
179 Integral equations (45-XX)
136 Biology and other natural sciences (92-XX)
130 Special functions (33-XX)
123 Calculus of variations and optimal control; optimization (49-XX)
108 Optics, electromagnetic theory (78-XX)
102 Dynamical systems and ergodic theory (37-XX)
90 Classical thermodynamics, heat transfer (80-XX)
88 Probability theory and stochastic processes (60-XX)
76 Quantum theory (81-XX)
63 Harmonic analysis on Euclidean spaces (42-XX)
50 Geophysics (86-XX)
49 Computer science (68-XX)
42 Systems theory; control (93-XX)
37 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
34 Linear and multilinear algebra; matrix theory (15-XX)
33 Operator theory (47-XX)
24 Operations research, mathematical programming (90-XX)
16 Statistics (62-XX)
16 Mechanics of particles and systems (70-XX)
15 Information and communication theory, circuits (94-XX)
14 Potential theory (31-XX)
12 Functional analysis (46-XX)
11 Astronomy and astrophysics (85-XX)
9 Integral transforms, operational calculus (44-XX)
9 Global analysis, analysis on manifolds (58-XX)
8 Difference and functional equations (39-XX)
7 Number theory (11-XX)
7 Functions of a complex variable (30-XX)
6 Differential geometry (53-XX)
5 Relativity and gravitational theory (83-XX)
3 General and overarching topics; collections (00-XX)
2 History and biography (01-XX)
2 Mathematical logic and foundations (03-XX)
2 Topological groups, Lie groups (22-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Mathematics education (97-XX)
1 Combinatorics (05-XX)
1 Field theory and polynomials (12-XX)
1 Nonassociative rings and algebras (17-XX)
1 Sequences, series, summability (40-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 General topology (54-XX)

Citations by Year