## Chou, So-Hsiang

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 Author ID: chou.so-hsiang Published as: Chou, So-Hsiang; Chou, S. H.; Chou, S.-H. more...less
 Documents Indexed: 49 Publications since 1989 Co-Authors: 21 Co-Authors with 38 Joint Publications 789 Co-Co-Authors
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### Co-Authors

 4 single-authored 10 Kwak, Do Young 10 Li, Qian 4 Attanayake, Champike 4 Lin, Wen-Wei 4 Vassilevski, Panayot Spirov 3 Porsching, Thomas A. 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, Jiawei 1 Nguyen, Truc T. 1 Peng, Gongwen 1 Sun, Tong 1 Tang, Shengrong 1 Thapa, Chandra 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 3 International Journal of Numerical Analysis and Modeling 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 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 1 Annals of Mathematical Sciences and Applications
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### Fields

 37 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 Special functions (33-XX) 1 Ordinary differential equations (34-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

41 Publications have been cited 526 times in 362 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
Optimal convergence analysis of an immersed interface finite element method. Zbl 1198.65212
Chou, So-Hsiang; Kwak, Do Y.; Wee, K. T.
2010
$$L^p$$ error estimates and superconvergence for covolume or finite volume element methods. Zbl 1029.65123
Chou, So-Hsiang; Kwak, Do Y.; Li, Qian
2003
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
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 mixed covolume framework for constructing conservative schemes for elliptic problems. Zbl 0924.65099
Chou, So-Hsiang; Vassilevski, Panayot S.
1999
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
Multigrid algorithms for a vertex-centered covolume method for elliptic problems. Zbl 0995.65127
Chou, So-Hsiang; Kwak, Do Y.
2002
Mixed covolume methods on rectangular grids for elliptic problems. Zbl 0948.65124
Chou, So-Hsiang; Kwak, Do Y.
2000
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
On the regularity and uniformness conditions on quadrilateral grids. Zbl 1030.65124
Chou, So-Hsiang; He, Songnian
2002
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
Mixed finite element methods for compressible miscible displacement in porous media. Zbl 0732.76081
Chou, So-Hsiang; Li, Qian
1991
Error estimates for mixed finite element methods for nonlinear parabolic problems. Zbl 0757.65103
Chou, So-Hsiang; Li, Qian
1992
Characteristic-mixed covolume methods for advection-dominated diffusion problems. Zbl 1174.65479
Chen, Zhangxin; Chou, So-Hsiang; Kwak, Do Young
2006
An immersed linear finite element method with interface flux capturing recovery. Zbl 1262.65168
Chou, So-Hsiang
2012
Application of ant $$K$$-means on clustering analysis. Zbl 1085.68633
Kuo, R. J.; Wang, H. S.; Hu, Tung-Lai; Chou, S. H.
2005
Flux recovery from primal hybrid finite element methods. Zbl 1021.65057
Chou, So-Hsiang; Kwak, Do Y.; Kim, Kwang Y.
2002
A domain decomposition algorithm for general covolume methods for elliptic problems. Zbl 1083.65111
Chou, S. H.; Huang, J.
2003
A network model for incompressible two-fluid flow and its numerical solution. Zbl 0669.76130
Chou, S. H.
1989
An upwinding cell-centered method with piecewise constant velocity over covolumes. Zbl 0939.65115
Chou, So-Hsiang; Vassilevski, Panayot S.
1999
Flux recovery and superconvergence of quadratic immersed interface finite elements. Zbl 1365.65238
Chou, So-Hsiang; Attanayake, Champike
2017
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
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
Mixed methods for compressible miscible displacement with the effect of molecular dispersion. Zbl 0831.76046
Li, Qian; Chou, So-Hsiang
1995
A finite element based fast eigensolver for three dimensional anisotropic photonic crystals. Zbl 1452.65314
Chou, So-Hsiang; Huang, Tsung-Ming; Li, Tiexiang; Lin, Jia-Wei; Lin, Wen-Wei
2019
Eigendecompositions and fast eigensolvers for Maxwell equations. Zbl 1386.78020
Chou, So-Hsiang; Lin, Wen-Wei
2016
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
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
An immersed interface method for Pennes bioheat transfer equation. Zbl 1307.65161
Attanayake, Champike; Chou, So-Hsiang
2015
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
A finite element based fast eigensolver for three dimensional anisotropic photonic crystals. Zbl 1452.65314
Chou, So-Hsiang; Huang, Tsung-Ming; Li, Tiexiang; Lin, Jia-Wei; Lin, Wen-Wei
2019
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 interface method for Pennes bioheat transfer equation. Zbl 1307.65161
Attanayake, Champike; Chou, So-Hsiang
2015
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
The effect of numerical integration in finite element methods for nonlinear parabolic equations. Zbl 0707.65068
Chou, So-Hsiang; Li, Qian
1990
On Fréchet theorem in the set of measure preserving functions over the unit interval. Zbl 0773.28002
Chou, So-Hsiang; Nguyen, Truc T.
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 434 Authors

 17 Zou, Qingsong 16 Chen, Chuanjun 16 Kwak, Do Young 16 Yang, Min 14 Chen, Zhangxin 14 Li, Yonghai 11 Bi, Chunjia 11 Li, Jian 11 Lin, Tao 11 Yuan, Yirang 10 Li, Changfeng 10 Zhang, Xu 10 Zhang, Zhimin 9 Chou, So-Hsiang 9 Zhang, Tie 8 Jo, Gwanghyun 8 Yang, Qing 8 Ye, Xiu 8 Zhang, Zhiyue 7 Chen, Yanping 7 Ginting, Victor 7 He, Xiaoming 7 Li, Zhilin 6 Fang, Zhichao 6 Kumar, Sarvesh 6 Li, Hong 6 Song, Huailing 6 Wu, Jiming 6 Zhao, Xin 5 Cao, Waixiang 5 Guo, Hui 5 He, Yinnian 5 Huang, Yunqing 5 Li, Rui 5 Lin, Yanping 5 Lv, Junliang 5 Pani, Amiya Kumar 5 Yang, Yang 5 Zhang, Jiansong 4 Chen, Huanzhen 4 Chen, Zhongying 4 Cui, Ming 4 Deng, Quanling 4 Feng, Xinlong 4 Huang, Pengzhan 4 Jiang, Ziwen 4 Liang, Dong 4 Liu, Jiangguo 4 Liu, Wei 4 Rui, Hongxing 4 Sun, Tongjun 4 Wang, Xiang 4 Xu, Yuesheng 4 Yang, Danping 4 Zhang, Yuanyuan 4 Zhou, Yanhui 3 Acharya, Sanjib Kumar 3 Bahaj, Mohamed 3 Cao, Yong 3 Chen, Yanli 3 Gao, Yali 3 Guo, Hailong 3 Ji, Haifeng 3 Lazarov, Raytcho D. 3 Liu, Yang 3 Lou, Yuzhi 3 Luo, Xianbing 3 Mu, Lin 3 Rachid, Anas 3 Ruiz-Baier, Ricardo 3 Sandilya, Ruchi 3 Shu, Chang 3 Shu, Shi 3 Tang, Lixin 3 Wang, Quanxiang 3 Yang, Xu 3 Zhang, Qian 2 An, Na 2 Attanayake, Champike 2 Cai, Fei 2 Chatzipantelidis, Panagiotis 2 Chen, Jinru 2 Cheng, Aijie 2 Choquet, Catherine 2 Fernández-Sánchez, Juan 2 He, Siriguleng 2 He, Wenming 2 Hong, Qi 2 Huang, Fei 2 Huang, Tsungming 2 Jari, Rabeea 2 Jin, Bangti 2 Ju, Lili 2 Karaa, Samir 2 Klausen, Runhild Aae 2 Kwon, In-Hyuk 2 Lee, Seungwoo 2 Li, Likang 2 Li, Weidong 2 Li, Zheng ...and 334 more Authors
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### Cited in 83 Serials

 37 Journal of Computational and Applied Mathematics 27 Numerical Methods for Partial Differential Equations 22 Computers & Mathematics with Applications 21 Journal of Computational Physics 18 Applied Mathematics and Computation 17 Journal of Scientific Computing 16 Numerische Mathematik 15 Applied Numerical Mathematics 13 Computer Methods in Applied Mechanics and Engineering 13 Advances in Computational Mathematics 11 Mathematics of Computation 11 Advances in Applied Mathematics and Mechanics 9 SIAM Journal on Numerical Analysis 8 International Journal of Numerical Analysis and Modeling 6 Journal of Applied Mathematics and Computing 5 Mathematical Methods in the Applied Sciences 4 Computers and Fluids 4 Computing 4 Numerical Algorithms 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 Mathematics and Computers in Simulation 3 Applications of Mathematics 3 Computational Geosciences 3 Computational Methods in Applied Mathematics 3 Journal of Applied Mathematics 3 International Journal of Computational Methods 3 Communications in Computational Physics 3 Science China. Mathematics 2 International Journal for Numerical Methods in Engineering 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Numerical Functional Analysis and Optimization 2 Applied Mathematics Letters 2 Science in China. Series A 2 International Journal of Computer Mathematics 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 Acta Mathematica Scientia. Series B. (English Edition) 2 Journal of Numerical Mathematics 2 Journal of the Korean Society for Industrial and Applied Mathematics 1 Journal of Engineering 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 SIAM Journal on Scientific Computing 1 Applied Mathematics. Series B (English Edition) 1 Abstract and Applied Analysis 1 Taiwanese Journal of Mathematics 1 Journal of Inequalities and Applications 1 Discrete Dynamics in Nature and Society 1 Analysis (München) 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 Advanced Nonlinear Studies 1 Mediterranean Journal of Mathematics 1 Advances in Difference Equations 1 Boundary Value Problems 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 Computational Methods for Differential Equations 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 AIMS Mathematics 1 Electronic Research Archive 1 International Journal on Finite Volumes
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### Cited in 28 Fields

 326 Numerical analysis (65-XX) 190 Partial differential equations (35-XX) 120 Fluid mechanics (76-XX) 16 Mechanics of deformable solids (74-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Biology and other natural sciences (92-XX) 6 Optics, electromagnetic theory (78-XX) 5 Integral equations (45-XX) 5 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 Approximations and expansions (41-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 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX)