Edit Profile (opens in new tab) Chou, So-Hsiang Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 0936.65127Chou, So-Hsiang; Li, Qian 98 2000 Analysis and convergence of a covolume method for the generalized Stokes problem. Zbl 0854.65091Chou, S. H. 60 1997 Unified analysis of finite volume methods for second order elliptic problems. Zbl 1155.65099Chou, So-Hsiang; Ye, Xiu 47 2007 Optimal convergence analysis of an immersed interface finite element method. Zbl 1198.65212Chou, So-Hsiang; Kwak, Do Y.; Wee, K. T. 43 2010 \(L^p\) error estimates and superconvergence for covolume or finite volume element methods. Zbl 1029.65123Chou, So-Hsiang; Kwak, Do Y.; Li, Qian 43 2003 A covolume method based on rotated bilinears for the generalized Stokes problem. Zbl 0957.76027Chou, S. H.; Kwak, D. Y. 42 1998 Mixed covolume methods for elliptic problems on triangular grids. Zbl 0914.65107Chou, So-Hsiang; Kwak, Do Y.; Vassilevski, Panayot S. 35 1998 Analysis and convergence of a MAC-like scheme for the generalized Stokes problem. Zbl 0868.76065Chou, S. H.; Kwak, D. Y. 28 1997 A general mixed covolume framework for constructing conservative schemes for elliptic problems. Zbl 0924.65099Chou, So-Hsiang; Vassilevski, Panayot S. 27 1999 A general framework for constructing and analyzing mixed finite volume methods on quadrilateral grids: The overlapping covolume case. Zbl 1007.65091Chou, So-Hsiang; Kwak, Do Y.; Kim, Kwang Y. 26 2001 Multigrid algorithms for a vertex-centered covolume method for elliptic problems. Zbl 0995.65127Chou, So-Hsiang; Kwak, Do Y. 23 2002 Mixed covolume methods on rectangular grids for elliptic problems. Zbl 0948.65124Chou, So-Hsiang; Kwak, Do Y. 20 2000 Mixed finite volume methods on nonstaggered quadrilateral grids for elliptic problems. Zbl 1015.65068Chou, So-Hsiang; Kwak, Do Y.; Kim, Kwang Y. 19 2003 Superconvergence of finite volume methods for the second-order elliptic problem. Zbl 1173.65354Chou, So-Hsiang; Ye, Xiu 19 2007 Conservative P1 conforming and nonconforming Galerkin FEMs: Effective flux evaluation via a nonmixed method approach. Zbl 0986.76036Chou, So-Hsiang; Tang, Shengrong 17 2000 On the regularity and uniformness conditions on quadrilateral grids. Zbl 1030.65124Chou, So-Hsiang; He, Songnian 13 2002 Mixed upwinding covolume methods on rectangular grids for convection-diffusion problems. Zbl 0947.65120Chou, So-Hsiang; Kwak, Do Y.; Vassilevski, Panayot S. 13 1999 On boundary conditions in the finite volume lattice Boltzmann method on unstructured meshes. Zbl 0976.82004Peng, Gongwen; Xi, Haowen; Chou, So-Hsiang 12 1999 Mixed finite element methods for compressible miscible displacement in porous media. Zbl 0732.76081Chou, So-Hsiang; Li, Qian 12 1991 Error estimates for mixed finite element methods for nonlinear parabolic problems. Zbl 0757.65103Chou, So-Hsiang; Li, Qian 11 1992 Characteristic-mixed covolume methods for advection-dominated diffusion problems. Zbl 1174.65479Chen, Zhangxin; Chou, So-Hsiang; Kwak, Do Young 9 2006 An immersed linear finite element method with interface flux capturing recovery. Zbl 1262.65168Chou, So-Hsiang 8 2012 Application of ant \(K\)-means on clustering analysis. Zbl 1085.68633Kuo, R. J.; Wang, H. S.; Hu, Tung-Lai; Chou, S. H. 7 2005 Flux recovery from primal hybrid finite element methods. Zbl 1021.65057Chou, So-Hsiang; Kwak, Do Y.; Kim, Kwang Y. 6 2002 A domain decomposition algorithm for general covolume methods for elliptic problems. Zbl 1083.65111Chou, S. H.; Huang, J. 6 2003 A network model for incompressible two-fluid flow and its numerical solution. Zbl 0669.76130Chou, S. H. 4 1989 An upwinding cell-centered method with piecewise constant velocity over covolumes. Zbl 0939.65115Chou, So-Hsiang; Vassilevski, Panayot S. 4 1999 Flux recovery and superconvergence of quadratic immersed interface finite elements. Zbl 1365.65238Chou, So-Hsiang; Attanayake, Champike 3 2017 A note on contraction numbers for additive correction methods. Zbl 0705.65021Chou, S. H.; Porsching, T. A. 3 1989 The effect of numerical integration in finite element methods for nonlinear parabolic equations. Zbl 0707.65068Chou, So-Hsiang; Li, Qian 3 1990 Efficient Arnoldi-type algorithms for rational eigenvalue problems arising in fluid-solid systems. Zbl 1390.74045Chou, So-Hsiang; Huang, Tsung-Ming; Huang, Wei-Qiang; Lin, Wen-Wei 3 2011 On Fréchet theorem in the set of measure preserving functions over the unit interval. Zbl 0773.28002Chou, So-Hsiang; Nguyen, Truc T. 3 1990 Mixed methods for compressible miscible displacement with the effect of molecular dispersion. Zbl 0831.76046Li, Qian; Chou, So-Hsiang 2 1995 A finite element based fast eigensolver for three dimensional anisotropic photonic crystals. Zbl 1452.65314Chou, So-Hsiang; Huang, Tsung-Ming; Li, Tiexiang; Lin, Jia-Wei; Lin, Wen-Wei 1 2019 Eigendecompositions and fast eigensolvers for Maxwell equations. Zbl 1386.78020Chou, So-Hsiang; Lin, Wen-Wei 1 2016 Convergence of the nonconforming Wilson element for a class of nonlinear parabolic problems. Zbl 0697.65084Chou, S. H.; Li, Q. 1 1990 Contraction numbers for additive correction methods. Zbl 0708.65038Chou, S. H.; Porsching, T. A. 1 1990 Characteristics-Galerkin and mixed finite element approximation of contamination by compressible nuclear waste-disposal in porous media. Zbl 0852.76038Chou, So-Hsiang; Li, Qian 1 1996 Numerical analysis of a mixed finite element method for a flow-transport problem. Zbl 0855.76037Chou, S.-H.; Li, Q. 1 1996 An immersed interface method for Pennes bioheat transfer equation. Zbl 1307.65161Attanayake, Champike; Chou, So-Hsiang 1 2015 A mixed finite element approximation for compressible flow by contamination from nuclear waste in porous media. Zbl 0911.76033Chou, S. H.; Li, Qian 1 1998 A finite element based fast eigensolver for three dimensional anisotropic photonic crystals. Zbl 1452.65314Chou, So-Hsiang; Huang, Tsung-Ming; Li, Tiexiang; Lin, Jia-Wei; Lin, Wen-Wei 1 2019 Flux recovery and superconvergence of quadratic immersed interface finite elements. Zbl 1365.65238Chou, So-Hsiang; Attanayake, Champike 3 2017 Eigendecompositions and fast eigensolvers for Maxwell equations. Zbl 1386.78020Chou, So-Hsiang; Lin, Wen-Wei 1 2016 An immersed interface method for Pennes bioheat transfer equation. Zbl 1307.65161Attanayake, Champike; Chou, So-Hsiang 1 2015 An immersed linear finite element method with interface flux capturing recovery. Zbl 1262.65168Chou, So-Hsiang 8 2012 Efficient Arnoldi-type algorithms for rational eigenvalue problems arising in fluid-solid systems. Zbl 1390.74045Chou, So-Hsiang; Huang, Tsung-Ming; Huang, Wei-Qiang; Lin, Wen-Wei 3 2011 Optimal convergence analysis of an immersed interface finite element method. Zbl 1198.65212Chou, So-Hsiang; Kwak, Do Y.; Wee, K. T. 43 2010 Unified analysis of finite volume methods for second order elliptic problems. Zbl 1155.65099Chou, So-Hsiang; Ye, Xiu 47 2007 Superconvergence of finite volume methods for the second-order elliptic problem. Zbl 1173.65354Chou, So-Hsiang; Ye, Xiu 19 2007 Characteristic-mixed covolume methods for advection-dominated diffusion problems. Zbl 1174.65479Chen, Zhangxin; Chou, So-Hsiang; Kwak, Do Young 9 2006 Application of ant \(K\)-means on clustering analysis. Zbl 1085.68633Kuo, R. J.; Wang, H. S.; Hu, Tung-Lai; Chou, S. H. 7 2005 \(L^p\) error estimates and superconvergence for covolume or finite volume element methods. Zbl 1029.65123Chou, So-Hsiang; Kwak, Do Y.; Li, Qian 43 2003 Mixed finite volume methods on nonstaggered quadrilateral grids for elliptic problems. Zbl 1015.65068Chou, So-Hsiang; Kwak, Do Y.; Kim, Kwang Y. 19 2003 A domain decomposition algorithm for general covolume methods for elliptic problems. Zbl 1083.65111Chou, S. H.; Huang, J. 6 2003 Multigrid algorithms for a vertex-centered covolume method for elliptic problems. Zbl 0995.65127Chou, So-Hsiang; Kwak, Do Y. 23 2002 On the regularity and uniformness conditions on quadrilateral grids. Zbl 1030.65124Chou, So-Hsiang; He, Songnian 13 2002 Flux recovery from primal hybrid finite element methods. Zbl 1021.65057Chou, So-Hsiang; Kwak, Do Y.; Kim, Kwang Y. 6 2002 A general framework for constructing and analyzing mixed finite volume methods on quadrilateral grids: The overlapping covolume case. Zbl 1007.65091Chou, So-Hsiang; Kwak, Do Y.; Kim, Kwang Y. 26 2001 Error estimates in \(L^{2}\), \(H^{1}\) and \(L^{\infty}\) in covolume methods for elliptic and parabolic problems: A unified approach. Zbl 0936.65127Chou, So-Hsiang; Li, Qian 98 2000 Mixed covolume methods on rectangular grids for elliptic problems. Zbl 0948.65124Chou, So-Hsiang; Kwak, Do Y. 20 2000 Conservative P1 conforming and nonconforming Galerkin FEMs: Effective flux evaluation via a nonmixed method approach. Zbl 0986.76036Chou, So-Hsiang; Tang, Shengrong 17 2000 A general mixed covolume framework for constructing conservative schemes for elliptic problems. Zbl 0924.65099Chou, So-Hsiang; Vassilevski, Panayot S. 27 1999 Mixed upwinding covolume methods on rectangular grids for convection-diffusion problems. Zbl 0947.65120Chou, So-Hsiang; Kwak, Do Y.; Vassilevski, Panayot S. 13 1999 On boundary conditions in the finite volume lattice Boltzmann method on unstructured meshes. Zbl 0976.82004Peng, Gongwen; Xi, Haowen; Chou, So-Hsiang 12 1999 An upwinding cell-centered method with piecewise constant velocity over covolumes. Zbl 0939.65115Chou, So-Hsiang; Vassilevski, Panayot S. 4 1999 A covolume method based on rotated bilinears for the generalized Stokes problem. Zbl 0957.76027Chou, S. H.; Kwak, D. Y. 42 1998 Mixed covolume methods for elliptic problems on triangular grids. Zbl 0914.65107Chou, So-Hsiang; Kwak, Do Y.; Vassilevski, Panayot S. 35 1998 A mixed finite element approximation for compressible flow by contamination from nuclear waste in porous media. Zbl 0911.76033Chou, S. H.; Li, Qian 1 1998 Analysis and convergence of a covolume method for the generalized Stokes problem. Zbl 0854.65091Chou, S. H. 60 1997 Analysis and convergence of a MAC-like scheme for the generalized Stokes problem. Zbl 0868.76065Chou, S. H.; Kwak, D. Y. 28 1997 Characteristics-Galerkin and mixed finite element approximation of contamination by compressible nuclear waste-disposal in porous media. Zbl 0852.76038Chou, So-Hsiang; Li, Qian 1 1996 Numerical analysis of a mixed finite element method for a flow-transport problem. Zbl 0855.76037Chou, S.-H.; Li, Q. 1 1996 Mixed methods for compressible miscible displacement with the effect of molecular dispersion. Zbl 0831.76046Li, Qian; Chou, So-Hsiang 2 1995 Error estimates for mixed finite element methods for nonlinear parabolic problems. Zbl 0757.65103Chou, So-Hsiang; Li, Qian 11 1992 Mixed finite element methods for compressible miscible displacement in porous media. Zbl 0732.76081Chou, So-Hsiang; Li, Qian 12 1991 The effect of numerical integration in finite element methods for nonlinear parabolic equations. Zbl 0707.65068Chou, So-Hsiang; Li, Qian 3 1990 On Fréchet theorem in the set of measure preserving functions over the unit interval. Zbl 0773.28002Chou, So-Hsiang; Nguyen, Truc T. 3 1990 Convergence of the nonconforming Wilson element for a class of nonlinear parabolic problems. Zbl 0697.65084Chou, S. H.; Li, Q. 1 1990 Contraction numbers for additive correction methods. Zbl 0708.65038Chou, S. H.; Porsching, T. A. 1 1990 A network model for incompressible two-fluid flow and its numerical solution. Zbl 0669.76130Chou, S. H. 4 1989 A note on contraction numbers for additive correction methods. Zbl 0705.65021Chou, S. H.; Porsching, T. A. 3 1989 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year