# zbMATH — the first resource for mathematics

## Chen, Yanping

Compute Distance To:
 Author ID: chen.yanping.2 Published as: Chen, Y.; Chen, Y. P.; Chen, YanPing; Chen, Yanping External Links: ORCID · dblp
 Documents Indexed: 214 Publications since 1993
all top 5

#### Co-Authors

 13 single-authored 49 Huang, Yunqing 18 Lu, Zuliang 11 Hou, Tianliang 10 Wei, Yunxia 10 Yang, Jiming 8 Liu, Li-Bin 7 Hu, Hanzhang 7 Liu, Steve Wenbin 6 Tang, Yuelong 6 Yang, Liu 6 Yang, Yin 6 Yi, Nianyu 5 Chen, Luoping 5 Gu, Zhendong 5 Huang, Fenglin 5 Leng, Haitao 5 Wang, Yang 5 Xing, Xiaoqing 5 Xiong, Zhiguang 4 Dai, Yongquan 4 Liu, Huanwen 4 Luo, Xianbing 4 Tong, Xiaojiao 4 Wang, Wenqiang 4 Zheng, Weishan 3 Brandts, Jan H. 3 Lin, Xiuxiu 3 Liu, Shang 3 Tang, Tao 3 Wang, Keyan 3 Zeng, Jiaoyan 3 Zhang, Manping 3 Zhou, Jie 2 Chen, Chuanjun 2 Hou, Chunjuan 2 Hu, Bing 2 Keogh, Eamonn J. 2 Li, Guanrong 2 Li, Qingfeng 2 Lin, Yijie 2 Shi, Xiulian 2 Wang, Jianyun 2 Wang, Yang 2 Wei, Huayi 2 Yan, Ningning 2 Yang, Julie 2 Yu, Dehao 2 Zhao, Xin 2 Zhou, Jianwei 1 Cai, Haotao 1 Chen, Hua 1 Chen, Ping 1 Dai, Li 1 Deng, Chunlin 1 Deng, Kang 1 Fu, Longxia 1 Fu, Min 1 Fu, Yao 1 Guo, Ruyi 1 Hao, Yuan 1 Li, Kang 1 Li, Li 1 Li, Xianjuan 1 Lin, Qian 1 Lin, Zhuoqing 1 Liu, Guichang 1 Liu, Lingli 1 Liu, Wenbin 1 Liu, Xiong 1 Liu, Ying 1 Liu, Ying 1 Liu, Ying 1 Luan, Peng 1 Ma, Heping 1 Qin, Yonghui 1 Rakthanmanon, Thanawin 1 Shen, Zuhe 1 Sun, Chunmei 1 Tian, Zhikun 1 Wan, Zhengsu 1 Wang, Fang 1 Wang, Peizhen 1 Xia, Nianshi 1 Xu, Yeqing 1 Yang, Ju’e 1 Yang, Wei 1 Yang, Wendi 1 Zakaria, Jesin 1 Zhang, Hongwei 1 Zhang, Jinling 1 Zhang, Xiaochun 1 Zhang, Yan 1 Zhang, Yuanyuan 1 Zheng, Qinghua 1 Zhou, Qin
all top 5

#### Serials

 14 Journal of Computational and Applied Mathematics 12 Computers & Mathematics with Applications 12 Journal of Scientific Computing 11 Applied Mathematics and Computation 11 Natural Science Journal of Xiangtan University 10 Journal of Computational Mathematics 10 Numerical Mathematics: Theory, Methods and Applications 8 Applied Numerical Mathematics 8 Advances in Applied Mathematics and Mechanics 6 Journal of Systems Science and Complexity 5 International Journal for Numerical Methods in Engineering 5 Numerical Methods for Partial Differential Equations 5 Advances in Computational Mathematics 4 Journal of South China Normal University. Natural Science Edition 4 International Journal of Numerical Analysis and Modeling 4 Frontiers of Mathematics in China 4 East Asian Journal on Applied Mathematics 3 Mathematica Numerica Sinica 3 Numerical Mathematics 3 Chinese Journal of Numerical Mathematics and Applications 3 Science China. Mathematics 2 Computer Methods in Applied Mechanics and Engineering 2 Mathematics of Computation 2 Journal of the Korean Mathematical Society 2 SIAM Journal on Numerical Analysis 2 Numerical Mathematics 2 Numerical Algorithms 2 Journal of Inequalities and Applications 2 Data Mining and Knowledge Discovery 2 Communications in Nonlinear Science and Numerical Simulation 2 Computational Methods in Applied Mathematics 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Journal of Industrial and Management Optimization 2 Communications in Computational Physics 2 AMM. Applied Mathematics and Mechanics. (English Edition) 2 Electronic Research Archive 1 Artificial Intelligence 1 IMA Journal of Numerical Analysis 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Calcolo 1 Indian Journal of Mathematics 1 Numerical Functional Analysis and Optimization 1 Optimal Control Applications & Methods 1 Journal of Systems Science and Mathematical Sciences 1 Acta Mathematicae Applicatae Sinica. English Series 1 Mathematica Applicata 1 Science in China. Series A 1 Computational Mathematics and Modeling 1 Systems Science and Mathematical Sciences 1 Applied Mathematical Modelling 1 Numerical Linear Algebra with Applications 1 Optimization Methods & Software 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 1 Journal of Mathematical Study 1 LMS Journal of Computation and Mathematics 1 Lobachevskii Journal of Mathematics 1 Journal of Zhejiang University. Science Edition 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of Numerical Mathematics 1 Journal of Yunnan University. Natural Sciences Edition 1 Pacific Journal of Optimization 1 Communications in Applied Mathematics and Computational Science 1 ISRN Applied Mathematics
all top 5

#### Fields

 196 Numerical analysis (65-XX) 74 Partial differential equations (35-XX) 67 Calculus of variations and optimal control; optimization (49-XX) 25 Integral equations (45-XX) 22 Fluid mechanics (76-XX) 17 Ordinary differential equations (34-XX) 5 Probability theory and stochastic processes (60-XX) 3 Real functions (26-XX) 3 Optics, electromagnetic theory (78-XX) 3 Operations research, mathematical programming (90-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Systems theory; control (93-XX) 1 Potential theory (31-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH

145 Publications have been cited 1,387 times in 644 Documents Cited by Year
Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel. Zbl 1207.65157
Chen, Yanping; Tang, Tao
2010
Spectral methods for weakly singular Volterra integral equations with smooth solutions. Zbl 1186.65161
Chen, Yanping; Tang, Tao
2009
A two-grid method for expanded mixed finite-element solution of semilinear reaction-diffusion equations. Zbl 1062.65104
Chen, Yanping; Huang, Yunqing; Yu, Dehao
2003
Superconvergence of mixed finite element methods for optimal control problems. Zbl 1193.49029
Chen, Yanping
2008
A Legendre-Galerkin spectral method for optimal control problems governed by elliptic equations. Zbl 1175.49003
Chen, Yanping; Yi, Nianyu; Liu, Wenbin
2008
A posteriori error estimates for mixed finite element solutions of convex optimal control problems. Zbl 1165.65034
Chen, Yanping; Liu, Wenbin
2008
Error estimates and superconvergence of mixed finite element methods for convex optimal control problems. Zbl 1203.49042
Chen, Yanping; Huang, Yunqing; Liu, Wenbin; Yan, Ningning
2010
Two-grid method for nonlinear reaction-diffusion equations by mixed finite element methods. Zbl 1246.65178
Chen, Luoping; Chen, Yanping
2011
Analysis of two-grid methods for reaction-diffusion equations by expanded mixed finite element methods. Zbl 1194.76107
Chen, Yanping; Liu, Huan Wen; Liu, Shang
2007
Error estimates and superconvergence of mixed finite element for quadratic optimal control. Zbl 1125.49026
Chen, Yanping; Liu, Wenbin
2006
Legendre spectral Galerkin method for second-kind Volterra integral equations. Zbl 1396.65165
Wan, Zhengsu; Chen, Yanping; Huang, Yunqing
2009
Superconvergence of quadratic optimal control problems by triangular mixed finite element methods. Zbl 1195.49038
Chen, Yanping
2008
Legendre spectral collocation methods for pantograph Volterra delay-integro-differential equations. Zbl 1264.65218
Wei, Yunxia; Chen, Yanping
2012
Error estimates of fully discrete mixed finite element methods for semilinear quadratic parabolic optimal control problem. Zbl 1231.65152
Chen, Yanping; Lu, Zuliang
2010
Mean-square stability of semi-implicit Euler method for nonlinear neutral stochastic delay differential equations. Zbl 1210.65014
Wang, Wenqiang; Chen, Yanping
2011
Convergence analysis of the spectral methods for weakly singular Volterra integro-differential equations with smooth solutions. Zbl 1262.45005
Wei, Yunxia; Chen, Yanping
2012
Superconvergence for optimal control problems governed by semi-linear elliptic equations. Zbl 1203.65177
Chen, Yanping; Dai, Yongquan
2009
A note on Jacobi spectral-collocation methods for weakly singular Volterra integral equations with smooth solutions. Zbl 1289.65284
Chen, Yanping; Li, Xianjuan; Tang, Tao
2013
Uniform convergence analysis of finite difference approximations for singular perturbation problems on an adapted grid. Zbl 1095.65065
Chen, Yanping
2006
A convergence analysis of the Jacobi spectral-collocation method for fractional integro-differential equations. Zbl 1313.65343
Yang, Yin; Chen, Yanping; Huang, Yunqing
2014
Legendre spectral collocation method for neutral and high-order Volterra integro-differential equation. Zbl 1291.65390
Wei, Yunxia; Chen, Yanping
2014
Two-grid finite element methods combined with Crank-Nicolson scheme for nonlinear Sobolev equations. Zbl 1415.65223
Chen, Chuanjun; Li, Kang; Chen, Yanping; Huang, Yunqing
2019
Spectral collocation method for the time-fractional diffusion-wave equation and convergence analysis. Zbl 1412.65168
Yang, Yin; Chen, Yanping; Huang, Yunqing; Wei, Huayi
2017
A note on least-squares mixed finite elements in relation to standard and mixed finite elements. Zbl 1106.65102
Brandts, Jan; Chen, Yanping; Yang, Julie
2006
Analysis of two-grid methods for nonlinear parabolic equations by expanded mixed finite element methods. Zbl 1262.65167
Chen, Yanping; Luan, Peng; Lu, Zuliang
2009
Two-grid method for nonlinear parabolic equations by expanded mixed finite element methods. Zbl 1322.65094
Chen, Yanping; Chen, Luoping; Zhang, Xiaochun
2013
Superconvergence of triangular mixed finite elements for optimal control problems with an integral constraint. Zbl 1227.65057
Zhou, Jianwei; Chen, Yanping; Dai, Yongquan
2010
A unified a posteriori error analysis for discontinuous Galerkin approximations of reactive transport equations. Zbl 1142.76034
Yang, Jiming; Chen, Yanping
2006
Uniform pointwise convergence for a singularly perturbed problem using arc-length equidistribution. Zbl 1044.65066
Chen, Yanping
2003
Two-grid method for miscible displacement problem by mixed finite element methods and mixed finite element method of characteristics. Zbl 1373.76079
Chen, Yanping; Hu, Hanzhang
2016
Error estimates of mixed methods for optimal control problems governed by parabolic equations. Zbl 1195.65085
Xing, Xiaoqing; Chen, Yanping
2008
Maximum norm a posteriori error estimates for a singularly perturbed differential difference equation with small delay. Zbl 1364.65135
Liu, Li-Bin; Chen, Yanping
2014
A Legendre-Galerkin spectral method for optimal control problems governed by Stokes equations. Zbl 1231.35161
Chen, Yanping; Huang, Fenglin; Yi, Nianyu; Liu, Wenbin
2011
A posteriori error estimates for $$hp$$ finite element solutions of convex optimal control problems. Zbl 1217.65120
Chen, Yanping; Lin, Yijie
2011
A priori error analysis of a discontinuous Galerkin approximation for a kind of compressible miscible displacement problems. Zbl 1273.76284
Yang, Jiming; Chen, Yanping
2010
A posteriori error estimates of spectral method for optimal control problems governed by parabolic equations. Zbl 1154.49006
Chen, YanPing; Huang, YunQing; Yi, NianYu
2008
Superconvergence of triangular Raviart-Thomas mixed finite element methods for a bilinear constrained optimal control problem. Zbl 1350.65066
Chen, Yanping; Lu, Zuliang; Huang, Yunqing
2013
A multi-level iterative method for solving finite element equations of nonlinear singular two-point boundary value problems. Zbl 0802.65095
Huang, Yunqing; Chen, Yanping
1994
A two-grid method for incompressible miscible displacement problems by mixed finite element and Eulerian-Lagrangian localized adjoint methods. Zbl 1442.76072
Wang, Yang; Chen, Yanping
2018
A semi-discretization method based on quartic splines for solving one-space-dimensional hyperbolic equations. Zbl 1162.65384
Liu, Huan-Wen; Liu, Li-Bin; Chen, Yanping
2009
$$L^{\infty}$$-error estimates for general optimal control problem by mixed finite element methods. Zbl 1160.35551
Xing, Xiaoqing; Chen, Yanping
2008
A posteriori error estimates for mixed finite elements of a quadratic control problem. Zbl 1066.65069
Chen, Yanping; Liu, Wenbin
2002
A robust adaptive grid method for a system of two singularly perturbed convection-diffusion equations with weak coupling. Zbl 1306.65236
Liu, Li-Bin; Chen, Yanping
2014
Spectral-collocation method for fractional Fredholm integro-differential equations. Zbl 1284.65193
Yang, Yin; Chen, Yanping; Huang, Yunqing
2014
A priori error estimates of a combined mixed finite element and a discontinuous Galerkin method for compressible miscible displacement with molecular diffusion and dispersion. Zbl 1249.65208
Yang, Jiming; Chen, Yanping
2011
$$L^p$$ error estimates of two-grid schemes of expanded mixed finite element methods. Zbl 1163.65064
Chen, Yanping; Li, Li
2009
Convergence of FEM with interpolated coefficients for semilinear hyperbolic equation. Zbl 1148.65079
Xiong, Zhiguang; Chen, Yanping; Zhang, Yan
2008
Superconvergence of least-squares mixed finite elements. Zbl 1096.65108
Brandts, Jan; Chen, Yanping
2006
A fractional order collocation method for second kind Volterra integral equations with weakly singular kernels. Zbl 1391.45002
Cai, Haotao; Chen, Yanping
2018
Two-grid method for compressible miscible displacement problem by CFEM-MFEM. Zbl 1444.76116
Zeng, Jiaoyan; Chen, Yanping; Hu, Hanzhang
2018
$$L^p$$ error estimates of two-grid method for miscible displacement problem. Zbl 06646080
Chen, Yanping; Zeng, Jiaoyan; Zhou, Jie
2016
Legendre spectral-collocation method for Volterra integral equations with non-vanishing delay. Zbl 06418671
Gu, Zhendong; Chen, Yanping
2014
Polynomial spline approach for solving second-order boundary-value problems with Neumann conditions. Zbl 1213.65109
Liu, Li-Bin; Liu, Huan-Wen; Chen, Yanping
2011
A priori error analysis of mixed methods for nonlinear quadratic optimal control problems. Zbl 1172.65033
Lu, Z. L.; Chen, Y. P.; Zhang, H. W.
2008
Finite volume element method with interpolated coefficients for two-point boundary value problem of semilinear differential equations. Zbl 1173.65329
Xiong, Zhiguang; Chen, Yanping
2007
A combined mixed finite element and discontinuous Galerkin method for compressible miscible displacement problem. Zbl 1134.65364
Chen, Hua; Chen, Yanping
2004
The full-discrete mixed finite element methods for nonlinear hyperbolic equations. Zbl 0918.65067
Chen, Yanping; Huang, Yunqing
1998
A-posteriori error estimation in maximum norm for a strongly coupled system of two singularly perturbed convection-diffusion problems. Zbl 1353.65087
Liu, Li-Bin; Chen, Yanping
2017
Two-grid method for miscible displacement problem by mixed finite element methods and finite element method of characteristics. Zbl 1368.76034
Hu, Hanzhang; Chen, Yanping; Zhou, Jie
2016
Two-grid discretization scheme for nonlinear reaction diffusion equation by mixed finite element methods. Zbl 1314.65126
Chen, Luoping; Chen, Yanping
2014
Chebyshev spectral-collocation method for a class of weakly singular Volterra integral equations with proportional delay. Zbl 1302.65279
Gu, Z.; Chen, Y.
2014
A spectral method for a neutral Volterra integro-differential equation with a weakly singular kernel. Zbl 1289.65298
Wei, Yunxia; Chen, Yanping
2013
Superconvergence of a full-discrete combined mixed finite element and discontinuous Galerkin method for a compressible miscible displacement problem. Zbl 1277.76049
Yang, Jiming; Chen, Yanping; Xiong, Zhiguang
2013
Convergence analysis of a Legendre spectral collocation method for second order Volterra integro-differential equations. Zbl 1265.65278
Wei, Yunxia; Chen, Yanping
2011
Error estimates for spectral approximation of elliptic control problems with integral state and control constraints. Zbl 1362.49014
Huang, Fenglin; Chen, Yanping
2014
A priori error estimates of finite volume element method for hyperbolic optimal control problems. Zbl 1264.65179
Luo, XianBing; Chen, YanPing; Huang, YunQing
2013
A posteriori error estimates of lowest order Raviart-Thomas mixed finite element methods for bilinear optimal control problems. Zbl 1287.65051
Lu, Zuliang; Chen, Yanping; Zheng, Weishan
2012
Superconvergence of a combined mixed finite element and discontinuous Galerkin approximation for an incompressible miscible displacement problem. Zbl 1243.76064
Yang, Jiming; Chen, Yanping
2012
A posteriori error estimates of mixed methods for parabolic optimal control problems. Zbl 1219.49025
Chen, Yanping; Liu, Lingli; Lu, Zuliang
2010
A smoothing Newton-like method for the solution of nonlinear systems of equalities and inequalities. Zbl 1212.65238
Yang, Liu; Chen, Yanping; Tong, Xiaojiao
2009
Superconvergence of least-squares mixed finite element for symmetric elliptic problems. Zbl 1042.65082
Chen, Yanping; Zhang, Manping
2004
Two-grid methods for semi-linear elliptic interface problems by immersed finite element methods. Zbl 1431.65220
Wang, Yang; Chen, Yanping; Huang, Yunqing; Liu, Ying
2019
Spectral method approximation of flow optimal control problems with $$H^1$$-norm state constraint. Zbl 1399.49019
Chen, Yanping; Huang, Fenglin
2017
Galerkin spectral approximation of elliptic optimal control problems with $$H^1$$-norm state constraint. Zbl 1342.65148
Chen, Yanping; Huang, Fenglin
2016
Piecewise Legendre spectral-collocation method for Volterra integro-differential equations. Zbl 1310.65133
Gu, Zhendong; Chen, Yanping
2015
Some error estimates of finite volume element method for parabolic optimal control problems. Zbl 1290.49057
Luo, Xianbing; Chen, Yanping; Huang, Yunqing; Hou, Tianliang
2014
Legendre spectral-collocation method for Volterra integral differential equations with nonvanishing delay. Zbl 1284.65189
Chen, Yanping; Gu, Zhendong
2013
Superconvergence and $$L^\infty$$-error estimates of RT1 mixed methods for semilinear elliptic control problems with an integral constraint. Zbl 1274.49005
Chen, Yanping; Hou, Tianliang
2012
Superconvergence of a combined mixed finite element and discontinuous Galerkin method for a compressible miscible displacement problem. Zbl 1299.76154
Yang, Ji-Ming; Chen, Yanping
2011
A new smoothing Newton method for solving constrained nonlinear equations. Zbl 1261.65051
Yang, Liu; Chen, Yanping; Tong, Xiaojiao; Deng, Chunlin
2011
$$L^\infty$$-error estimates of triangular mixed finite element methods for optimal control problems governed by semilinear elliptic equations. Zbl 1212.49047
Lu, Zuliang; Chen, Yanping
2009
A rectangular finite volume element method for a semilinear elliptic equation. Zbl 1203.65262
Xiong, Zhiguang; Chen, Yanping
2008
The superconvergence of mixed finite element methods for nonlinear hyperbolic equations. Zbl 0918.65068
Chen, Yanping; Huang, Yunqing
1998
Application of superconvergence to a model for compressible miscible displacement. Zbl 0911.76032
Chen, Yanping
1998
Two-grid methods of expanded mixed finite-element solutions for nonlinear parabolic problems. Zbl 1450.65117
Chen, Yanping; Wang, Yang; Huang, Yunqing; Fu, Longxia
2019
Convergence and quasi-optimality of an adaptive finite element method for optimal control problems with integral control constraint. Zbl 1391.80007
Leng, Haitao; Chen, Yanping
2018
A spectral collocation method for multidimensional nonlinear weakly singular Volterra integral equation. Zbl 1377.65175
Wei, Yunxia; Chen, Yanping; Shi, Xiulian
2018
Two-grid mixed finite element method for nonlinear hyperbolic equations. Zbl 1395.65092
Wang, Keyan; Chen, Yanping
2017
A mixed discontinuous Galerkin time-stepping method for linear parabolic optimal control problems. Zbl 1340.49004
Hou, Tianliang; Chen, Yanping
2015
An adaptive moving grid method for a system of singularly perturbed initial value problems. Zbl 1296.65102
Liu, Li-Bin; Chen, Yanping
2015
Superconvergence of fully discrete splitting positive definite mixed FEM for hyperbolic equations. Zbl 1283.65087
Wang, Fang; Chen, Yanping; Tang, Yuelong
2014
Some error estimates of finite volume element approximation for elliptic optimal control problems. Zbl 1288.65095
Luo, Xianbing; Chen, Yanping; Huang, Yunqing
2013
Study of highly efficient, extremely accurate numerical methods for partial differential equations. Zbl 1265.65208
Chen, Yanping
2011
Superconvergence property of finite element methods for parabolic optimal control problems. Zbl 1231.49027
Hou, Chunjuan; Chen, Yanping; Lu, Zuliang
2011
Error estimates of mixed finite element methods for quadratic optimal control problems. Zbl 1181.65096
Xing, Xiaoqing; Chen, Yanping; Yi, Nianyu
2010
A Jacobi spectral method for solving multidimensional linear Volterra integral equation of the second kind. Zbl 1416.65558
Wei, Yunxia; Chen, Yanping
2019
A posteriori error estimates of hp spectral element methods for integral state constrained elliptic optimal control problems. Zbl 1421.35188
Chen, Yanping; Zhang, Jinling; Huang, Yunqing; Xu, Yeqing
2019
Spectral collocation methods for nonlinear Volterra integro-differential equations with weakly singular kernels. Zbl 1406.65141
Yang, Yin; Chen, Yanping
2019
Superconvergence analysis of bi-$$k$$-degree rectangular elements for two-dimensional time-dependent Schrödinger equation. Zbl 1398.65227
Wang, Jianyun; Chen, Yanping
2018
Analysis of two-grid discretization scheme for semilinear hyperbolic equations by mixed finite element methods. Zbl 1404.65182
Wang, Keyan; Chen, Yanping
2018
Two-grid methods of finite element solutions for semi-linear elliptic interface problems. Zbl 07202161
Chen, Yanping; Li, Qingfeng; Wang, Yang; Huang, Yunqing
2020
Numerical solution of two-dimensional nonlinear Schrödinger equation using a new two-grid finite element method. Zbl 1434.65185
Hu, Hanzhang; Chen, Yanping
2020
Two-grid finite element methods combined with Crank-Nicolson scheme for nonlinear Sobolev equations. Zbl 1415.65223
Chen, Chuanjun; Li, Kang; Chen, Yanping; Huang, Yunqing
2019
Two-grid methods for semi-linear elliptic interface problems by immersed finite element methods. Zbl 1431.65220
Wang, Yang; Chen, Yanping; Huang, Yunqing; Liu, Ying
2019
Two-grid methods of expanded mixed finite-element solutions for nonlinear parabolic problems. Zbl 1450.65117
Chen, Yanping; Wang, Yang; Huang, Yunqing; Fu, Longxia
2019
A Jacobi spectral method for solving multidimensional linear Volterra integral equation of the second kind. Zbl 1416.65558
Wei, Yunxia; Chen, Yanping
2019
A posteriori error estimates of hp spectral element methods for integral state constrained elliptic optimal control problems. Zbl 1421.35188
Chen, Yanping; Zhang, Jinling; Huang, Yunqing; Xu, Yeqing
2019
Spectral collocation methods for nonlinear Volterra integro-differential equations with weakly singular kernels. Zbl 1406.65141
Yang, Yin; Chen, Yanping
2019
An efficient two grid method for miscible displacement problem approximated by mixed finite element methods. Zbl 1442.65269
Liu, Shang; Chen, Yanping; Huang, Yunqing; Zhou, Jie
2019
Two grid finite element discretization method for semi-linear hyperbolic integro-differential equations. Zbl 1425.65102
Chen, Luoping; Chen, Yanping; Huang, Yunqing
2019
Mortar element method for the time dependent coupling of Stokes and Darcy flows. Zbl 1416.76035
Chen, Yanping; Zhao, Xin; Huang, Yunqing
2019
A two-grid method for incompressible miscible displacement problems by mixed finite element and Eulerian-Lagrangian localized adjoint methods. Zbl 1442.76072
Wang, Yang; Chen, Yanping
2018
A fractional order collocation method for second kind Volterra integral equations with weakly singular kernels. Zbl 1391.45002
Cai, Haotao; Chen, Yanping
2018
Two-grid method for compressible miscible displacement problem by CFEM-MFEM. Zbl 1444.76116
Zeng, Jiaoyan; Chen, Yanping; Hu, Hanzhang
2018
Convergence and quasi-optimality of an adaptive finite element method for optimal control problems with integral control constraint. Zbl 1391.80007
Leng, Haitao; Chen, Yanping
2018
A spectral collocation method for multidimensional nonlinear weakly singular Volterra integral equation. Zbl 1377.65175
Wei, Yunxia; Chen, Yanping; Shi, Xiulian
2018
Superconvergence analysis of bi-$$k$$-degree rectangular elements for two-dimensional time-dependent Schrödinger equation. Zbl 1398.65227
Wang, Jianyun; Chen, Yanping
2018
Analysis of two-grid discretization scheme for semilinear hyperbolic equations by mixed finite element methods. Zbl 1404.65182
Wang, Keyan; Chen, Yanping
2018
A priori error estimates of a combined mixed finite element and local discontinuous Galerkin method for an incompressible miscible displacement problem. Zbl 1427.65269
Yang, Jiming; Chen, Yanping; Huang, Yunqing
2018
A new weak Galerkin finite element scheme for general second-order elliptic problems. Zbl 1394.65148
Li, Guanrong; Chen, Yanping; Huang, Yunqing
2018
Spectral collocation method for the time-fractional diffusion-wave equation and convergence analysis. Zbl 1412.65168
Yang, Yin; Chen, Yanping; Huang, Yunqing; Wei, Huayi
2017
A-posteriori error estimation in maximum norm for a strongly coupled system of two singularly perturbed convection-diffusion problems. Zbl 1353.65087
Liu, Li-Bin; Chen, Yanping
2017
Spectral method approximation of flow optimal control problems with $$H^1$$-norm state constraint. Zbl 1399.49019
Chen, Yanping; Huang, Fenglin
2017
Two-grid mixed finite element method for nonlinear hyperbolic equations. Zbl 1395.65092
Wang, Keyan; Chen, Yanping
2017
Convergence and quasi-optimality of an adaptive finite element method for optimal control problems on $$L^{2}$$ errors. Zbl 1396.65101
Leng, Haitao; Chen, Yanping
2017
Two-grid method for miscible displacement problem by mixed finite element methods and mixed finite element method of characteristics. Zbl 1373.76079
Chen, Yanping; Hu, Hanzhang
2016
$$L^p$$ error estimates of two-grid method for miscible displacement problem. Zbl 06646080
Chen, Yanping; Zeng, Jiaoyan; Zhou, Jie
2016
Two-grid method for miscible displacement problem by mixed finite element methods and finite element method of characteristics. Zbl 1368.76034
Hu, Hanzhang; Chen, Yanping; Zhou, Jie
2016
Galerkin spectral approximation of elliptic optimal control problems with $$H^1$$-norm state constraint. Zbl 1342.65148
Chen, Yanping; Huang, Fenglin
2016
An adaptive grid method for singularly perturbed time-dependent convection-diffusion problems. Zbl 1388.65049
Chen, Yanping; Liu, Li-Bin
2016
Classification of streaming time series under more realistic assumptions. Zbl 1411.62254
Hu, Bing; Chen, Yanping; Keogh, Eamonn
2016
Piecewise Legendre spectral-collocation method for Volterra integro-differential equations. Zbl 1310.65133
Gu, Zhendong; Chen, Yanping
2015
A mixed discontinuous Galerkin time-stepping method for linear parabolic optimal control problems. Zbl 1340.49004
Hou, Tianliang; Chen, Yanping
2015
An adaptive moving grid method for a system of singularly perturbed initial value problems. Zbl 1296.65102
Liu, Li-Bin; Chen, Yanping
2015
Error estimates of spectral Legendre-Galerkin methods for the fourth-order equation in one dimension. Zbl 1410.65281
Chen, Yanping; Zhou, Jianwei
2015
A general framework for never-ending learning from time series streams. Zbl 1405.68281
Chen, Yanping; Hao, Yuan; Rakthanmanon, Thanawin; Zakaria, Jesin; Hu, Bing; Keogh, Eamonn
2015
Feature assembly method for extracting relations in Chinese. Zbl 1346.68225
Chen, Yanping; Zheng, Qinghua; Chen, Ping
2015
A convergence analysis of the Jacobi spectral-collocation method for fractional integro-differential equations. Zbl 1313.65343
Yang, Yin; Chen, Yanping; Huang, Yunqing
2014
Legendre spectral collocation method for neutral and high-order Volterra integro-differential equation. Zbl 1291.65390
Wei, Yunxia; Chen, Yanping
2014
Maximum norm a posteriori error estimates for a singularly perturbed differential difference equation with small delay. Zbl 1364.65135
Liu, Li-Bin; Chen, Yanping
2014
A robust adaptive grid method for a system of two singularly perturbed convection-diffusion equations with weak coupling. Zbl 1306.65236
Liu, Li-Bin; Chen, Yanping
2014
Spectral-collocation method for fractional Fredholm integro-differential equations. Zbl 1284.65193
Yang, Yin; Chen, Yanping; Huang, Yunqing
2014
Legendre spectral-collocation method for Volterra integral equations with non-vanishing delay. Zbl 06418671
Gu, Zhendong; Chen, Yanping
2014
Two-grid discretization scheme for nonlinear reaction diffusion equation by mixed finite element methods. Zbl 1314.65126
Chen, Luoping; Chen, Yanping
2014
Chebyshev spectral-collocation method for a class of weakly singular Volterra integral equations with proportional delay. Zbl 1302.65279
Gu, Z.; Chen, Y.
2014
Error estimates for spectral approximation of elliptic control problems with integral state and control constraints. Zbl 1362.49014
Huang, Fenglin; Chen, Yanping
2014
Some error estimates of finite volume element method for parabolic optimal control problems. Zbl 1290.49057
Luo, Xianbing; Chen, Yanping; Huang, Yunqing; Hou, Tianliang
2014
Superconvergence of fully discrete splitting positive definite mixed FEM for hyperbolic equations. Zbl 1283.65087
Wang, Fang; Chen, Yanping; Tang, Yuelong
2014
Superconvergence for general convex optimal control problems governed by semilinear parabolic equations. Zbl 1298.65149
Dai, Yongquan; Chen, Yanping
2014
A note on Jacobi spectral-collocation methods for weakly singular Volterra integral equations with smooth solutions. Zbl 1289.65284
Chen, Yanping; Li, Xianjuan; Tang, Tao
2013
Two-grid method for nonlinear parabolic equations by expanded mixed finite element methods. Zbl 1322.65094
Chen, Yanping; Chen, Luoping; Zhang, Xiaochun
2013
Superconvergence of triangular Raviart-Thomas mixed finite element methods for a bilinear constrained optimal control problem. Zbl 1350.65066
Chen, Yanping; Lu, Zuliang; Huang, Yunqing
2013
A spectral method for a neutral Volterra integro-differential equation with a weakly singular kernel. Zbl 1289.65298
Wei, Yunxia; Chen, Yanping
2013
Superconvergence of a full-discrete combined mixed finite element and discontinuous Galerkin method for a compressible miscible displacement problem. Zbl 1277.76049
Yang, Jiming; Chen, Yanping; Xiong, Zhiguang
2013
A priori error estimates of finite volume element method for hyperbolic optimal control problems. Zbl 1264.65179
Luo, XianBing; Chen, YanPing; Huang, YunQing
2013
Legendre spectral-collocation method for Volterra integral differential equations with nonvanishing delay. Zbl 1284.65189
Chen, Yanping; Gu, Zhendong
2013
Some error estimates of finite volume element approximation for elliptic optimal control problems. Zbl 1288.65095
Luo, Xianbing; Chen, Yanping; Huang, Yunqing
2013
Chebyshev spectral-collocation method for Volterra integral equations. Zbl 1280.65145
Gu, Zhendong; Chen, Yanping
2013
Superconvergence of RT1 mixed finite element approximations for elliptic control problems. Zbl 1260.49052
Hou, TianLiang; Chen, YanPing
2013
A priori error estimates of mixed finite element methods for general semilinear elliptic optimal control problems. Zbl 1329.65132
Lu, Zuliang; Chen, Yanping
2013
Error estimates and superconvergence of RT0 mixed methods for a class of semilinear elliptic optimal control problems. Zbl 1299.49001
Chen, Yanping; Hou, Tianliang
2013
A priori error estimates of Crank-Nicolson finite volume element method for parabolic optimal control problems. Zbl 1288.65132
Luo, Xianbing; Chen, Yanping; Huang, Yunqing
2013
Superconvergence analysis of fully discrete finite element methods for semilinear parabolic optimal control problems. Zbl 1330.49030
Tang, Yuelong; Chen, Yanping
2013
A spectral method for second order Volterra integro-differential equation with pantograph delay. Zbl 1262.65203
Zheng, Weishan; Chen, Yanping
2013
Legendre spectral collocation methods for pantograph Volterra delay-integro-differential equations. Zbl 1264.65218
Wei, Yunxia; Chen, Yanping
2012
Convergence analysis of the spectral methods for weakly singular Volterra integro-differential equations with smooth solutions. Zbl 1262.45005
Wei, Yunxia; Chen, Yanping
2012
A posteriori error estimates of lowest order Raviart-Thomas mixed finite element methods for bilinear optimal control problems. Zbl 1287.65051
Lu, Zuliang; Chen, Yanping; Zheng, Weishan
2012
Superconvergence of a combined mixed finite element and discontinuous Galerkin approximation for an incompressible miscible displacement problem. Zbl 1243.76064
Yang, Jiming; Chen, Yanping
2012
Superconvergence and $$L^\infty$$-error estimates of RT1 mixed methods for semilinear elliptic control problems with an integral constraint. Zbl 1274.49005
Chen, Yanping; Hou, Tianliang
2012
Variational discretization for parabolic optimal control problems with control constraints. Zbl 1269.49054
Tang, Yuelong; Chen, Yanping
2012
A note on local sensitivity analysis for parametric optimization problem. Zbl 1264.90166
Yang, Liu; Chen, Yanping; Tong, Xiaojiao
2012
Recovery type a posteriori error estimates of fully discrete finite element methods for general convex parabolic optimal control problems. Zbl 1289.65148
Tang, Yuelong; Chen, Yanping
2012
Error estimates and superconvergence of mixed finite element methods for optimal control problems with low regularity. Zbl 1262.49008
Chen, Yanping; Hou, Tianliang; Zheng, Weishan
2012
Error estimates of triangular mixed finite element methods for quasilinear optimal control problems. Zbl 1252.49049
Chen, Yanping; Lu, Zuliang; Guo, Ruyi
2012
Two-grid method for nonlinear reaction-diffusion equations by mixed finite element methods. Zbl 1246.65178
Chen, Luoping; Chen, Yanping
2011
Mean-square stability of semi-implicit Euler method for nonlinear neutral stochastic delay differential equations. Zbl 1210.65014
Wang, Wenqiang; Chen, Yanping
2011
A Legendre-Galerkin spectral method for optimal control problems governed by Stokes equations. Zbl 1231.35161
Chen, Yanping; Huang, Fenglin; Yi, Nianyu; Liu, Wenbin
2011
A posteriori error estimates for $$hp$$ finite element solutions of convex optimal control problems. Zbl 1217.65120
Chen, Yanping; Lin, Yijie
2011
A priori error estimates of a combined mixed finite element and a discontinuous Galerkin method for compressible miscible displacement with molecular diffusion and dispersion. Zbl 1249.65208
Yang, Jiming; Chen, Yanping
2011
Polynomial spline approach for solving second-order boundary-value problems with Neumann conditions. Zbl 1213.65109
Liu, Li-Bin; Liu, Huan-Wen; Chen, Yanping
2011
Convergence analysis of a Legendre spectral collocation method for second order Volterra integro-differential equations. Zbl 1265.65278
Wei, Yunxia; Chen, Yanping
2011
Superconvergence of a combined mixed finite element and discontinuous Galerkin method for a compressible miscible displacement problem. Zbl 1299.76154
Yang, Ji-Ming; Chen, Yanping
2011
A new smoothing Newton method for solving constrained nonlinear equations. Zbl 1261.65051
Yang, Liu; Chen, Yanping; Tong, Xiaojiao; Deng, Chunlin
2011
Study of highly efficient, extremely accurate numerical methods for partial differential equations. Zbl 1265.65208
Chen, Yanping
2011
Superconvergence property of finite element methods for parabolic optimal control problems. Zbl 1231.49027
Hou, Chunjuan; Chen, Yanping; Lu, Zuliang
2011
Numerical methods for constrained elliptic optimal control problems with rapidly oscillating coefficients. Zbl 1287.65048
Chen, Yanping; Tang, Yuelong
2011
A posteriori error estimates of mixed methods for quadratic optimal control problems governed by parabolic equations. Zbl 1265.49031
Hou, Tianliang; Chen, Yanping; Huang, Yunqing
2011
A posteriori error estimates for semilinear boundary control problems. Zbl 1217.65121
Chen, Yanping; Lu, Zuliang
2011
Two improved algorithms and implementation for a singularly perturbed problem on moving meshes. Zbl 1338.93245
Zhou, Qin; Chen, Yanping; Yang, Yin
2011
Superconvergence of parabolic optimal control problems. Zbl 1262.65085
Xing, Xiaoqing; Chen, Yanping
2011
Higher order triangular mixed finite element methods for semilinear quadratic optimal control problems. Zbl 1249.65135
Deng, Kang; Chen, Yanping; Lu, Zuliang
2011
Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel. Zbl 1207.65157
Chen, Yanping; Tang, Tao
2010
Error estimates and superconvergence of mixed finite element methods for convex optimal control problems. Zbl 1203.49042
Chen, Yanping; Huang, Yunqing; Liu, Wenbin; Yan, Ningning
2010
Error estimates of fully discrete mixed finite element methods for semilinear quadratic parabolic optimal control problem. Zbl 1231.65152
Chen, Yanping; Lu, Zuliang
2010
Superconvergence of triangular mixed finite elements for optimal control problems with an integral constraint. Zbl 1227.65057
Zhou, Jianwei; Chen, Yanping; Dai, Yongquan
2010
A priori error analysis of a discontinuous Galerkin approximation for a kind of compressible miscible displacement problems. Zbl 1273.76284
Yang, Jiming; Chen, Yanping
2010
A posteriori error estimates of mixed methods for parabolic optimal control problems. Zbl 1219.49025
Chen, Yanping; Liu, Lingli; Lu, Zuliang
2010
Error estimates of mixed finite element methods for quadratic optimal control problems. Zbl 1181.65096
Xing, Xiaoqing; Chen, Yanping; Yi, Nianyu
2010
Superconvergence of rectangular mixed finite element methods for constrained optimal control problem. Zbl 1262.49007
Chen, Yanping; Dai, Li; Lu, Zuliang
2010
Spectral methods for weakly singular Volterra integral equations with smooth solutions. Zbl 1186.65161
Chen, Yanping; Tang, Tao
2009
...and 45 more Documents
all top 5

#### Cited by 863 Authors

 94 Chen, Yanping 31 Huang, Yunqing 23 Lu, Zuliang 20 Shi, Dongyang 16 Hou, Tianliang 16 Liu, Li-Bin 16 Yang, Yin 15 Nelakanti, Gnaneshwar 11 Li, Hong 11 Liu, Yang 11 Tang, Yuelong 11 Yang, Jiming 10 Chen, Chuanjun 10 Yi, Lijun 9 Rui, Hongxing 8 Gu, Zhendong 8 Guo, Hui 8 He, Siriguleng 8 Mokhtary, Payam 8 Zhao, Jingjun 8 Zhou, Jianwei 7 Cai, Haotao 7 Cen, Zhongdi 7 Hu, Hanzhang 7 Liu, Wei 7 Long, Guangqing 7 Mandal, Moumita 7 Tohidi, Emran 7 Wei, Yunxia 7 Yang, Danping 6 Chen, Luoping 6 Das, Payel 6 Fu, Hongfei 6 Hua, Yuchun 6 Huang, Chengming 6 Leng, Haitao 6 Wang, Jinfeng 6 Xu, Yang 6 Zhang, Zhimin 5 Bhrawy, Ali Hassan 5 Gao, Wei 5 Huang, Fenglin 5 Ku, Jaeun 5 Shi, Xiulian 5 Tang, Xiaojun 5 Wang, Lina 5 Wang, Yang 5 Wang, Zhongqing 5 Yan, Ningning 5 Zhang, Xiaoyong 5 Zhang, Zhiyue 4 Babolian, Esmaeil 4 Bi, Chunjia 4 Doha, Eid H. 4 Fang, Zhichao 4 Huang, Can 4 Kumar, Sarvesh 4 Lin, Xiuxiu 4 Liu, Steve Wenbin 4 Machado, José António Tenreiro 4 Natesan, Srinivasan 4 Pishbin, Saeed 4 Sandilya, Ruchi 4 Wang, Junjun 4 Xing, Xiaoqing 4 Xiong, Zhiguang 4 Yang, Huaijun 4 Yi, Nianyu 4 Zhang, Jiansong 4 Zhou, Jie 3 Abbasbandy, Saeid 3 Abdelkawy, Mohamed A. 3 Abdi, Ali 3 Berenguer, María Isabel 3 Cao, Yang 3 Chang, Yanzhen 3 Dai, Yongquan 3 Dehghan Takht Fooladi, Mehdi 3 Deng, Feiqi 3 Gámez, Domingo 3 Guan, Hongbo 3 Hesameddini, Esmail 3 Hou, Jian 3 Huang, Jian 3 Javadi, Sonya 3 Jiang, Xiaoyun 3 Lan, Guangqiang 3 Li, Xianjuan 3 Liang, Ying 3 Lin, Runchang 3 Liu, Hongyan 3 Liu, Huanwen 3 Liu, Qian 3 Liu, Wei 3 Luo, Xianbing 3 Ma, Xiaohua 3 Mo, Haoyi 3 Mohapatra, Jugal 3 Pérez, M. C. Serrano 3 Ruiz-Baier, Ricardo ...and 763 more Authors
all top 5

#### Cited in 113 Serials

 62 Journal of Computational and Applied Mathematics 60 Applied Mathematics and Computation 52 Applied Numerical Mathematics 46 Computers & Mathematics with Applications 42 Journal of Scientific Computing 22 Numerical Algorithms 17 Journal of Function Spaces 15 Abstract and Applied Analysis 14 Numerical Methods for Partial Differential Equations 12 Computational and Applied Mathematics 12 Advances in Difference Equations 11 International Journal of Computer Mathematics 10 Advances in Computational Mathematics 9 Calcolo 9 Journal of Systems Science and Complexity 9 Science China. Mathematics 8 Mathematical Problems in Engineering 8 Frontiers of Mathematics in China 7 Mathematics of Computation 7 Numerical Functional Analysis and Optimization 7 SIAM Journal on Numerical Analysis 7 Applied Mathematics Letters 7 Journal of Inequalities and Applications 7 Journal of Applied Mathematics and Computing 7 Electronic Research Archive 6 Numerische Mathematik 6 Applied Mathematical Modelling 5 Journal of Computational Physics 5 Lobachevskii Journal of Mathematics 5 East Asian Journal on Applied Mathematics 4 Computer Methods in Applied Mechanics and Engineering 4 Acta Mathematicae Applicatae Sinica. English Series 4 Computational Mathematics and Modeling 4 Applications of Mathematics 4 Computational Optimization and Applications 4 SIAM Journal on Scientific Computing 4 Discrete Dynamics in Nature and Society 4 International Journal of Nonlinear Sciences and Numerical Simulation 4 Journal of Applied Mathematics 4 Boundary Value Problems 4 Mathematical Sciences 3 Mathematical Methods in the Applied Sciences 3 International Journal for Numerical Methods in Engineering 3 Computational Methods in Applied Mathematics 3 Journal of Industrial and Management Optimization 3 Advances in Mathematical Physics 3 S$$\vec{\text{e}}$$MA Journal 3 Journal of Applied Analysis and Computation 2 Applicable Analysis 2 Indian Journal of Pure & Applied Mathematics 2 Journal of Mathematical Analysis and Applications 2 SIAM Journal on Control and Optimization 2 Optimal Control Applications & Methods 2 Journal of Integral Equations and Applications 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 ETNA. Electronic Transactions on Numerical Analysis 2 Nonlinear Dynamics 2 Optimization Methods & Software 2 Nonlinear Analysis. Modelling and Control 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Mediterranean Journal of Mathematics 2 International Journal of Differential Equations 2 Computational Methods for Differential Equations 2 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Artificial Intelligence 1 Computers and Fluids 1 International Journal of General Systems 1 International Journal for Numerical Methods in Fluids 1 Lithuanian Mathematical Journal 1 Ukrainian Mathematical Journal 1 Chaos, Solitons and Fractals 1 Applied Mathematics and Optimization 1 Automatica 1 BIT 1 Mathematics and Computers in Simulation 1 Statistics & Probability Letters 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 Optimization 1 Science in China. Series A 1 Japan Journal of Industrial and Applied Mathematics 1 The Journal of Analysis 1 Applied Mathematics. Series B (English Edition) 1 Complexity 1 Engineering Analysis with Boundary Elements 1 Journal of Difference Equations and Applications 1 Journal of Applied Analysis 1 Differential Equations and Dynamical Systems 1 Vietnam Journal of Mathematics 1 Taiwanese Journal of Mathematics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Chaos 1 Data Mining and Knowledge Discovery 1 LMS Journal of Computation and Mathematics 1 Computational Geosciences 1 The ANZIAM Journal 1 Journal of Numerical Mathematics 1 International Journal of Computational Methods 1 Acta Mechanica Sinica 1 Journal of Fixed Point Theory and Applications ...and 13 more Serials
all top 5

#### Cited in 33 Fields

 575 Numerical analysis (65-XX) 184 Partial differential equations (35-XX) 158 Integral equations (45-XX) 129 Calculus of variations and optimal control; optimization (49-XX) 95 Ordinary differential equations (34-XX) 54 Fluid mechanics (76-XX) 26 Probability theory and stochastic processes (60-XX) 20 Real functions (26-XX) 15 Operations research, mathematical programming (90-XX) 14 Operator theory (47-XX) 14 Mechanics of deformable solids (74-XX) 11 Approximations and expansions (41-XX) 10 Special functions (33-XX) 9 Optics, electromagnetic theory (78-XX) 9 Systems theory; control (93-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Biology and other natural sciences (92-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Difference and functional equations (39-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Geophysics (86-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX)