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## Chou, So-Hsiang

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 Author ID: chou.so-hsiang Published as: Chou, So-Hsiang; Chou, S. H.; Chou, S.-H.
 Documents Indexed: 47 Publications since 1989
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#### Co-Authors

 4 single-authored 10 Kwak, Do Young 10 Li, Qian 4 Lin, Wen-Wei 4 Vassilevski, Panayot Spirov 3 Porsching, Thomas A. 2 Attanayake, Champike 2 He, Songnian 2 Huang, Tsungming 2 Ye, Xiu 1 Chen, Zhangxin 1 Chiang, Chiou-Wen 1 Hu, Tung-Lai 1 Huang, Weiqiang 1 Kuo, R. J. 1 Li, Tiexiang 1 Lin, Jia-Wei 1 Nguyen, Truc T. 1 Peng, Gongwen 1 Sun, Tong 1 Tang, Shengrong 1 Wang, Jenn-Nan 1 Wee, Kye T. 1 Xi, Haowen
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#### Serials

 9 Numerical Methods for Partial Differential Equations 7 SIAM Journal on Numerical Analysis 6 Mathematics of Computation 2 Computers & Mathematics with Applications 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Computational Physics 2 Discrete and Continuous Dynamical Systems. Series B 2 International Journal of Numerical Analysis and Modeling 1 International Journal of Mathematics and Mathematical Sciences 1 Numerische Mathematik 1 SIAM Journal on Control and Optimization 1 Soochow Journal of Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Applied Mathematics Letters 1 Linear Algebra and its Applications 1 SIAM Journal on Scientific Computing 1 Numerical Linear Algebra with Applications 1 Advances in Computational Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 International Journal of Modern Physics C 1 Journal of Numerical Mathematics 1 International Journal of Numerical Analysis and Modeling. Series B 1 ICCM Notices
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#### Fields

 36 Numerical analysis (65-XX) 23 Partial differential equations (35-XX) 17 Fluid mechanics (76-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 1 Measure and integration (28-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

39 Publications have been cited 592 times in 313 Documents Cited by Year
Error estimates in $$L^{2}$$, $$H^{1}$$ and $$L^{\infty}$$ in covolume methods for elliptic and parabolic problems: A unified approach. Zbl 0936.65127
Chou, So-Hsiang; Li, Qian
2000
Analysis and convergence of a covolume method for the generalized Stokes problem. Zbl 0854.65091
Chou, S. H.
1997
Unified analysis of finite volume methods for second order elliptic problems. Zbl 1155.65099
Chou, So-Hsiang; Ye, Xiu
2007
A covolume method based on rotated bilinears for the generalized Stokes problem. Zbl 0957.76027
Chou, S. H.; Kwak, D. Y.
1998
$$L^p$$ error estimates and superconvergence for covolume or finite volume element methods. Zbl 1029.65123
Chou, So-Hsiang; Kwak, Do Y.; Li, Qian
2003
Optimal convergence analysis of an immersed interface finite element method. Zbl 1198.65212
Chou, So-Hsiang; Kwak, Do Y.; Wee, K. T.
2010
Mixed covolume methods for elliptic problems on triangular grids. Zbl 0914.65107
Chou, So-Hsiang; Kwak, Do Y.; Vassilevski, Panayot S.
1998
Analysis and convergence of a MAC-like scheme for the generalized Stokes problem. Zbl 0868.76065
Chou, S. H.; Kwak, D. Y.
1997
A general framework for constructing and analyzing mixed finite volume methods on quadrilateral grids: The overlapping covolume case. Zbl 1007.65091
Chou, So-Hsiang; Kwak, Do Y.; Kim, Kwang Y.
2001
A general mixed covolume framework for constructing conservative schemes for elliptic problems. Zbl 0924.65099
Chou, So-Hsiang; Vassilevski, Panayot S.
1999
Mixed covolume methods on rectangular grids for elliptic problems. Zbl 0948.65124
Chou, So-Hsiang; Kwak, Do Y.
2000
Multigrid algorithms for a vertex-centered covolume method for elliptic problems. Zbl 0995.65127
Chou, So-Hsiang; Kwak, Do Y.
2002
Mixed finite volume methods on nonstaggered quadrilateral grids for elliptic problems. Zbl 1015.65068
Chou, So-Hsiang; Kwak, Do Y.; Kim, Kwang Y.
2003
Superconvergence of finite volume methods for the second-order elliptic problem. Zbl 1173.65354
Chou, So-Hsiang; Ye, Xiu
2007
Conservative P1 conforming and nonconforming Galerkin FEMs: Effective flux evaluation via a nonmixed method approach. Zbl 0986.76036
Chou, So-Hsiang; Tang, Shengrong
2000
Mixed upwinding covolume methods on rectangular grids for convection-diffusion problems. Zbl 0947.65120
Chou, So-Hsiang; Kwak, Do Y.; Vassilevski, Panayot S.
1999
On the regularity and uniformness conditions on quadrilateral grids. Zbl 1030.65124
Chou, So-Hsiang; He, Songnian
2002
On boundary conditions in the finite volume lattice Boltzmann method on unstructured meshes. Zbl 0976.82004
Peng, Gongwen; Xi, Haowen; Chou, So-Hsiang
1999
Error estimates for mixed finite element methods for nonlinear parabolic problems. Zbl 0757.65103
Chou, So-Hsiang; Li, Qian
1992
Mixed finite element methods for compressible miscible displacement in porous media. Zbl 0732.76081
Chou, So-Hsiang; Li, Qian
1991
Characteristic-mixed covolume methods for advection-dominated diffusion problems. Zbl 1174.65479
Chen, Zhangxin; Chou, So-Hsiang; Kwak, Do Young
2006
Application of ant $$K$$-means on clustering analysis. Zbl 1085.68633
Kuo, R. J.; Wang, H. S.; Hu, Tung-Lai; Chou, S. H.
2005
An immersed linear finite element method with interface flux capturing recovery. Zbl 1262.65168
Chou, So-Hsiang
2012
A domain decomposition algorithm for general covolume methods for elliptic problems. Zbl 1083.65111
Chou, S. H.; Huang, J.
2003
An upwinding cell-centered method with piecewise constant velocity over covolumes. Zbl 0939.65115
Chou, So-Hsiang; Vassilevski, Panayot S.
1999
Flux recovery from primal hybrid finite element methods. Zbl 1021.65057
Chou, So-Hsiang; Kwak, Do Y.; Kim, Kwang Y.
2002
A network model for incompressible two-fluid flow and its numerical solution. Zbl 0669.76130
Chou, S. H.
1989
Efficient Arnoldi-type algorithms for rational eigenvalue problems arising in fluid-solid systems. Zbl 1390.74045
Chou, So-Hsiang; Huang, Tsung-Ming; Huang, Wei-Qiang; Lin, Wen-Wei
2011
On Fréchet theorem in the set of measure preserving functions over the unit interval. Zbl 0773.28002
Chou, So-Hsiang; Nguyen, Truc T.
1990
A note on contraction numbers for additive correction methods. Zbl 0705.65021
Chou, S. H.; Porsching, T. A.
1989
The effect of numerical integration in finite element methods for nonlinear parabolic equations. Zbl 0707.65068
Chou, So-Hsiang; Li, Qian
1990
Mixed methods for compressible miscible displacement with the effect of molecular dispersion. Zbl 0831.76046
Li, Qian; Chou, So-Hsiang
1995
Flux recovery and superconvergence of quadratic immersed interface finite elements. Zbl 1365.65238
Chou, So-Hsiang; Attanayake, Champike
2017
Characteristics-Galerkin and mixed finite element approximation of contamination by compressible nuclear waste-disposal in porous media. Zbl 0852.76038
Chou, So-Hsiang; Li, Qian
1996
Numerical analysis of a mixed finite element method for a flow-transport problem. Zbl 0855.76037
Chou, S.-H.; Li, Q.
1996
A mixed finite element approximation for compressible flow by contamination from nuclear waste in porous media. Zbl 0911.76033
Chou, S. H.; Li, Qian
1998
Convergence of the nonconforming Wilson element for a class of nonlinear parabolic problems. Zbl 0697.65084
Chou, S. H.; Li, Q.
1990
Contraction numbers for additive correction methods. Zbl 0708.65038
Chou, S. H.; Porsching, T. A.
1990
Eigendecompositions and fast eigensolvers for Maxwell equations. Zbl 1386.78020
Chou, So-Hsiang; Lin, Wen-Wei
2016
Flux recovery and superconvergence of quadratic immersed interface finite elements. Zbl 1365.65238
Chou, So-Hsiang; Attanayake, Champike
2017
Eigendecompositions and fast eigensolvers for Maxwell equations. Zbl 1386.78020
Chou, So-Hsiang; Lin, Wen-Wei
2016
An immersed linear finite element method with interface flux capturing recovery. Zbl 1262.65168
Chou, So-Hsiang
2012
Efficient Arnoldi-type algorithms for rational eigenvalue problems arising in fluid-solid systems. Zbl 1390.74045
Chou, So-Hsiang; Huang, Tsung-Ming; Huang, Wei-Qiang; Lin, Wen-Wei
2011
Optimal convergence analysis of an immersed interface finite element method. Zbl 1198.65212
Chou, So-Hsiang; Kwak, Do Y.; Wee, K. T.
2010
Unified analysis of finite volume methods for second order elliptic problems. Zbl 1155.65099
Chou, So-Hsiang; Ye, Xiu
2007
Superconvergence of finite volume methods for the second-order elliptic problem. Zbl 1173.65354
Chou, So-Hsiang; Ye, Xiu
2007
Characteristic-mixed covolume methods for advection-dominated diffusion problems. Zbl 1174.65479
Chen, Zhangxin; Chou, So-Hsiang; Kwak, Do Young
2006
Application of ant $$K$$-means on clustering analysis. Zbl 1085.68633
Kuo, R. J.; Wang, H. S.; Hu, Tung-Lai; Chou, S. H.
2005
$$L^p$$ error estimates and superconvergence for covolume or finite volume element methods. Zbl 1029.65123
Chou, So-Hsiang; Kwak, Do Y.; Li, Qian
2003
Mixed finite volume methods on nonstaggered quadrilateral grids for elliptic problems. Zbl 1015.65068
Chou, So-Hsiang; Kwak, Do Y.; Kim, Kwang Y.
2003
A domain decomposition algorithm for general covolume methods for elliptic problems. Zbl 1083.65111
Chou, S. H.; Huang, J.
2003
Multigrid algorithms for a vertex-centered covolume method for elliptic problems. Zbl 0995.65127
Chou, So-Hsiang; Kwak, Do Y.
2002
On the regularity and uniformness conditions on quadrilateral grids. Zbl 1030.65124
Chou, So-Hsiang; He, Songnian
2002
Flux recovery from primal hybrid finite element methods. Zbl 1021.65057
Chou, So-Hsiang; Kwak, Do Y.; Kim, Kwang Y.
2002
A general framework for constructing and analyzing mixed finite volume methods on quadrilateral grids: The overlapping covolume case. Zbl 1007.65091
Chou, So-Hsiang; Kwak, Do Y.; Kim, Kwang Y.
2001
Error estimates in $$L^{2}$$, $$H^{1}$$ and $$L^{\infty}$$ in covolume methods for elliptic and parabolic problems: A unified approach. Zbl 0936.65127
Chou, So-Hsiang; Li, Qian
2000
Mixed covolume methods on rectangular grids for elliptic problems. Zbl 0948.65124
Chou, So-Hsiang; Kwak, Do Y.
2000
Conservative P1 conforming and nonconforming Galerkin FEMs: Effective flux evaluation via a nonmixed method approach. Zbl 0986.76036
Chou, So-Hsiang; Tang, Shengrong
2000
A general mixed covolume framework for constructing conservative schemes for elliptic problems. Zbl 0924.65099
Chou, So-Hsiang; Vassilevski, Panayot S.
1999
Mixed upwinding covolume methods on rectangular grids for convection-diffusion problems. Zbl 0947.65120
Chou, So-Hsiang; Kwak, Do Y.; Vassilevski, Panayot S.
1999
On boundary conditions in the finite volume lattice Boltzmann method on unstructured meshes. Zbl 0976.82004
Peng, Gongwen; Xi, Haowen; Chou, So-Hsiang
1999
An upwinding cell-centered method with piecewise constant velocity over covolumes. Zbl 0939.65115
Chou, So-Hsiang; Vassilevski, Panayot S.
1999
A covolume method based on rotated bilinears for the generalized Stokes problem. Zbl 0957.76027
Chou, S. H.; Kwak, D. Y.
1998
Mixed covolume methods for elliptic problems on triangular grids. Zbl 0914.65107
Chou, So-Hsiang; Kwak, Do Y.; Vassilevski, Panayot S.
1998
A mixed finite element approximation for compressible flow by contamination from nuclear waste in porous media. Zbl 0911.76033
Chou, S. H.; Li, Qian
1998
Analysis and convergence of a covolume method for the generalized Stokes problem. Zbl 0854.65091
Chou, S. H.
1997
Analysis and convergence of a MAC-like scheme for the generalized Stokes problem. Zbl 0868.76065
Chou, S. H.; Kwak, D. Y.
1997
Characteristics-Galerkin and mixed finite element approximation of contamination by compressible nuclear waste-disposal in porous media. Zbl 0852.76038
Chou, So-Hsiang; Li, Qian
1996
Numerical analysis of a mixed finite element method for a flow-transport problem. Zbl 0855.76037
Chou, S.-H.; Li, Q.
1996
Mixed methods for compressible miscible displacement with the effect of molecular dispersion. Zbl 0831.76046
Li, Qian; Chou, So-Hsiang
1995
Error estimates for mixed finite element methods for nonlinear parabolic problems. Zbl 0757.65103
Chou, So-Hsiang; Li, Qian
1992
Mixed finite element methods for compressible miscible displacement in porous media. Zbl 0732.76081
Chou, So-Hsiang; Li, Qian
1991
On Fréchet theorem in the set of measure preserving functions over the unit interval. Zbl 0773.28002
Chou, So-Hsiang; Nguyen, Truc T.
1990
The effect of numerical integration in finite element methods for nonlinear parabolic equations. Zbl 0707.65068
Chou, So-Hsiang; Li, Qian
1990
Convergence of the nonconforming Wilson element for a class of nonlinear parabolic problems. Zbl 0697.65084
Chou, S. H.; Li, Q.
1990
Contraction numbers for additive correction methods. Zbl 0708.65038
Chou, S. H.; Porsching, T. A.
1990
A network model for incompressible two-fluid flow and its numerical solution. Zbl 0669.76130
Chou, S. H.
1989
A note on contraction numbers for additive correction methods. Zbl 0705.65021
Chou, S. H.; Porsching, T. A.
1989
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#### Cited by 372 Authors

 16 Yang, Min 16 Zou, Qingsong 14 Chen, Zhangxin 13 Li, Yonghai 12 Chen, Chuanjun 11 Bi, Chunjia 11 Kwak, Do Young 11 Li, Jian 11 Lin, Tao 10 Zhang, Zhimin 9 Zhang, Tie 8 Chou, So-Hsiang 7 He, Xiaoming 7 Li, Zhilin 7 Yang, Qing 7 Ye, Xiu 7 Yuan, Yirang 7 Zhang, Xu 7 Zhang, Zhiyue 6 Chen, Yanping 6 Fang, Zhichao 6 Ginting, Victor 6 Kumar, Sarvesh 6 Li, Changfeng 6 Li, Hong 6 Zhao, Xin 5 Cao, Waixiang 5 Jo, Gwanghyun 5 Lin, Yanping 5 Lv, Junliang 5 Wu, Jiming 5 Zhang, Jiansong 4 Chen, Huanzhen 4 Chen, Zhongying 4 Deng, Quanling 4 Guo, Hui 4 He, Yinnian 4 Huang, Pengzhan 4 Huang, Yunqing 4 Jiang, Ziwen 4 Liu, Jiangguo 4 Pani, Amiya Kumar 4 Rui, Hongxing 4 Wang, Xiang 4 Xu, Yuesheng 4 Yang, Danping 4 Zhang, Yuanyuan 3 Cao, Yong 3 Cui, Ming 3 Feng, Xinlong 3 Gao, Yali 3 Ji, Haifeng 3 Lazarov, Raytcho D. 3 Liang, Dong 3 Liu, Yang 3 Luo, Xianbing 3 Mu, Lin 3 Ruiz-Baier, Ricardo 3 Sandilya, Ruchi 3 Shu, Shi 3 Song, Huailing 3 Sun, Tongjun 3 Tang, Lixin 3 Wang, Quanxiang 3 Zhang, Qian 3 Zhou, Yanhui 2 Acharya, Sanjib Kumar 2 An, Na 2 Bahaj, Mohamed 2 Chatzipantelidis, Panagiotis 2 Chen, Jinru 2 Chen, Yanli 2 Choquet, Catherine 2 Fernández-Sánchez, Juan 2 Guo, Hailong 2 He, Siriguleng 2 He, Wenming 2 Hong, Qi 2 Huang, Tsungming 2 Jari, Rabeea 2 Jin, Bangti 2 Ju, Lili 2 Klausen, Runhild Aae 2 Li, Likang 2 Li, Weidong 2 Li, Zheng 2 Liu, Wei 2 Long, Xiaohan 2 Ma, Xiaoling 2 Ming, Pingbing 2 Nie, Cunyun 2 Njifenjou, Abdou 2 Park, Eun-Jae 2 Rachid, Anas 2 Sheng, Ying 2 Shi, Zhongci 2 Shu, Chang 2 Sinha, Rajen Kumar 2 Thomée, Vidar 2 Vohralík, Martin ...and 272 more Authors
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#### Cited in 72 Serials

 37 Journal of Computational and Applied Mathematics 27 Numerical Methods for Partial Differential Equations 19 Journal of Computational Physics 18 Computers & Mathematics with Applications 17 Applied Mathematics and Computation 16 Journal of Scientific Computing 15 Numerische Mathematik 14 Applied Numerical Mathematics 13 Advances in Computational Mathematics 11 Computer Methods in Applied Mechanics and Engineering 11 Mathematics of Computation 9 SIAM Journal on Numerical Analysis 5 Mathematical Methods in the Applied Sciences 5 Journal of Applied Mathematics and Computing 4 Computers and Fluids 4 Computing 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 International Journal for Numerical Methods in Fluids 3 Journal of Mathematical Analysis and Applications 3 Applications of Mathematics 3 Numerical Algorithms 3 Computational Geosciences 3 Journal of Applied Mathematics 3 International Journal of Computational Methods 3 Science China. Mathematics 2 International Journal for Numerical Methods in Engineering 2 Mathematics and Computers in Simulation 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Numerical Functional Analysis and Optimization 2 Science in China. Series A 2 Communications in Numerical Methods in Engineering 2 Mathematical Problems in Engineering 2 International Journal of Computational Fluid Dynamics 2 International Journal of Modern Physics C 2 Discrete and Continuous Dynamical Systems. Series B 2 Computational Methods in Applied Mathematics 2 Journal of Numerical Mathematics 2 Journal of the Korean Society for Industrial and Applied Mathematics 1 Chaos, Solitons and Fractals 1 BIT 1 Calcolo 1 Optimal Control Applications & Methods 1 Statistics & Probability Letters 1 Applied Mathematics and Mechanics. (English Edition) 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Theoretical Probability 1 Journal of Integral Equations and Applications 1 International Journal of Computer Mathematics 1 SIAM Journal on Scientific Computing 1 Applied Mathematics. Series B (English Edition) 1 Abstract and Applied Analysis 1 Journal of Inequalities and Applications 1 Discrete Dynamics in Nature and Society 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 International Journal of Applied Mathematics and Computer Science 1 Engineering Computations 1 The ANZIAM Journal 1 Journal of Systems Science and Complexity 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Advanced Nonlinear Studies 1 Mediterranean Journal of Mathematics 1 Advances in Difference Equations 1 International Journal of Numerical Analysis and Modeling 1 Journal of Mathematical Inequalities 1 Advances in Numerical Analysis 1 Journal of Mathematics 1 East Asian Journal on Applied Mathematics 1 International Journal of Partial Differential Equations 1 AMM. Applied Mathematics and Mechanics. (English Edition)
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#### Cited in 25 Fields

 280 Numerical analysis (65-XX) 162 Partial differential equations (35-XX) 105 Fluid mechanics (76-XX) 13 Mechanics of deformable solids (74-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 6 Statistical mechanics, structure of matter (82-XX) 6 Biology and other natural sciences (92-XX) 5 Optics, electromagnetic theory (78-XX) 4 Probability theory and stochastic processes (60-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Ordinary differential equations (34-XX) 3 Statistics (62-XX) 2 Integral equations (45-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Mechanics of particles and systems (70-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX)