# zbMATH — the first resource for mathematics

## Xu, Guoliang

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 Author ID: xu.guoliang Published as: Xu, G.; Xu, G. L.; Xu, Guo Liang; Xu, Guo-Liang; Xu, Guo-liang; Xu, Guoliang
 Documents Indexed: 116 Publications since 1984, including 1 Book
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#### Co-Authors

 17 single-authored 17 Bajaj, Chandrajit L. 8 Zhang, Yongjie 7 Chen, Chong 6 Li, Jiakai 6 Pan, Qing 6 Zhang, Qin 4 Jing, Zhucui 3 Bultheel, Adhemar François 3 Leng, Juelin 3 Xue, Weimin 3 Zhang, Yongjie Jessica 3 Zhuang, Guozhong 2 Chu, Chuan I. 2 Holt, Robert J. 2 Li, Xinge 2 Netravali, Arun N. 2 Shi, Yingguang 2 Wang, Genqiang 2 Wang, Xia 2 Xu, Gang 2 Xu, Zhiqiang 2 Yang, Xuyang 2 Ye, Juntao 2 Zou, Xiangfu 1 Chen, Jianqiang 1 Chu, Chuan 1 Dong, Siwei 1 Evans, Susan 1 Fu, Song 1 Gorpinath, Ajay 1 Gruska, Jozef 1 Hughes, Thomas J. R. 1 Jiang, Xiong 1 Kuwahara, Fujio 1 Le, Jiakai 1 Li, Ming 1 Li, Ming 1 Li, Ming 1 Liang, Xinghua 1 Liao, Tao 1 Lin, Jie-Xian 1 Liu, Dan 1 Liu, Gang 1 Liu, Gang 1 Mourrain, Bernard 1 Nakayama, Akira 1 Pan, Kejia 1 Qian, Jin 1 Qiu, Daowen 1 Rabczuk, Timon 1 Schaefer, Scott 1 Sugiyama, Masazumi 1 Sun, Jiaguang 1 Wang, Wenyan 1 Xu, Haibo 1 Zhao, Huanxi 1 Zheng, Yanmei
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#### Serials

 18 Journal of Computational Mathematics 15 Computer Aided Geometric Design 6 Computers & Mathematics with Applications 5 Chinese Journal of Numerical Mathematics and Applications 3 Computer Methods in Applied Mechanics and Engineering 3 Mathematica Numerica Sinica 2 Journal of Computational Physics 2 Journal of Computational and Applied Mathematics 2 Acta Mathematicae Applicatae Sinica. English Series 2 Approximation Theory and its Applications 2 International Journal of Computational Geometry & Applications 2 Advances in Computational Mathematics 1 International Journal of Heat and Mass Transfer 1 International Journal of Theoretical Physics 1 Inverse Problems 1 Journal of Fluid Mechanics 1 Applied Numerical Mathematics 1 Journal of Symbolic Computation 1 Computational Mechanics 1 Journal of Scientific Computing 1 CAD. Computer-Aided Design 1 International Journal of Foundations of Computer Science 1 International Journal of Computer Mathematics 1 Linear Algebra and its Applications 1 Communications in Numerical Methods in Engineering 1 Far East Journal of Applied Mathematics 1 IEEE Transactions on Image Processing 1 Journal of Software 1 Communications in Mathematical Sciences 1 Lecture Notes in Computer Science 1 Acta Mechanica Sinica 1 Advances in Differential Equations and Control Processes 1 Molecular Based Mathematical Biology
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#### Fields

 59 Numerical analysis (65-XX) 25 Approximations and expansions (41-XX) 14 Computer science (68-XX) 8 Biology and other natural sciences (92-XX) 7 Differential geometry (53-XX) 7 Information and communication theory, circuits (94-XX) 3 Partial differential equations (35-XX) 3 Fluid mechanics (76-XX) 2 Ordinary differential equations (34-XX) 2 Integral transforms, operational calculus (44-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH

70 Publications have been cited 434 times in 334 Documents Cited by Year
Discrete Laplace-Beltrami operators and their convergence. Zbl 1069.58500
Xu, Guoliang
2004
Converting an unstructured quadrilateral/hexahedral mesh to a rational T-spline. Zbl 1312.65197
Wang, Wenyan; Zhang, Yongjie; Xu, Guoliang; Hughes, Thomas J. R.
2012
A variational boundary integral method for the analysis of 3-D cracks of arbitrary geometry modelled as continuous distributions of dislocation loops. Zbl 0796.73067
Xu, G.; Ortiz, M.
1993
Discrete surface modelling using partial differential equations. Zbl 1083.65018
Xu, Guoliang; Pan, Qing; Bajaj, Chandrajit L.
2006
Convergence of discrete Laplace-Beltrami operators over surfaces. Zbl 1062.39019
Xu, Guoliang
2004
Quality meshing of implicit solvation models of biomolecular structures. Zbl 1098.92034
Zhang, Yongjie; Xu, Guoliang; Bajaj, Chandrajit
2006
NURBS approximation of surface / surface intersection curves. Zbl 0831.65014
Bajaj, Chandrajit L.; Xu, Guoliang
1994
Surface smoothing and quality improvement of quadrilateral/hexahedral meshes with geometric flow. Zbl 1158.65314
Zhang, Yongjie; Bajaj, Chandrajit; Xu, Guoliang
2009
Finding community structures in complex networks using mixed integer optimisation. Zbl 1189.90027
Xu, G.; Tsoka, S.; Papageorgiou, L. G.
2007
Discrete Laplace-Beltrami operator on sphere and optimal spherical triangulations. Zbl 1097.65041
Xu, Guoliang
2006
A variational boundary integral method for the analysis of three-dimensional cracks of arbitrary geometry in anisotropic elastic solids. Zbl 1110.74768
Xu, G.
2000
Convergence analysis of a discretization scheme for Gaussian curvature over triangular surfaces. Zbl 1083.65024
Xu, Guoliang
2006
Construction of $$\sigma$$-orthogonal polynomials and Gaussian quadrature formulas. Zbl 1122.65026
Shi, Ying Guang; Xu, Guoliang
2007
Piecewise rational approximations of real algebraic curves. Zbl 0865.65005
Bajaj, C. L.; Xu, G. L.
1997
An analysis of non-planar crack growth under mixed mode loading. Zbl 0946.74570
Xu, G.; Bower, A. F.; Ortiz, M.
1994
Matrix Padé approximation: Definitions and properties. Zbl 0704.41011
1990
Curvature computations of 2-manifolds in $$\mathbb{R}^k$$. Zbl 1031.65032
Xu, Guoliang; Bajaj, Chandrajit L.
2003
Isogeometric analysis based on extended Loop’s subdivision. Zbl 1352.65532
Pan, Qing; Xu, Guoliang; Xu, Gang; Zhang, Yongjie
2015
An extended OV model with consideration of driver’s memory. Zbl 1170.90354
Tang, T. Q.; Huang, H. J.; Zhao, S. G.; Xu, G.
2009
Three-dimensional modeling of arc plasma and metal transfer in gas metal arc welding. Zbl 1157.80379
Xu, G.; Hu, J.; Tsai, H. L.
2009
A discrete scheme of Laplace-Beltrami operator and its convergence over quadrilateral meshes. Zbl 1152.65115
Liu, Dan; Xu, Guoliang; Zhang, Qin
2008
$$G^{2}$$ surface modeling using minimal mean-curvature-variation flow. Zbl 1206.65121
Xu, Guoliang; Zhang, Qin
2007
Adaptively robust filtering for kinematic geodetic positioning. Zbl 1036.86513
Yang, Y.; He, H.; Xu, G.
2001
Regular algebraic curve segments. I: Definitions and characteristics. Zbl 0945.68176
Xu, G.; Bajaj, C. L.; Xue, W.
2000
Medical image interpolation based on multi-resolution registration. Zbl 1339.92037
Leng, Juelin; Xu, Guoliang; Zhang, Yongjie
2013
A general framework for surface modeling using geometric partial differential equations. Zbl 1172.65351
Xu, Guoliang; Zhang, Qin
2008
Convergence analysis of discrete differential geometry operators over surfaces. Zbl 1141.68642
Xu, Zhiqiang; Xu, Guoliang; Sun, Jia-Guang
2005
Interpolation by Loop’s subdivision functions. Zbl 1074.65016
Xu, Guoliang
2005
A two-energy equation model for conduction and convection in porous media. Zbl 1091.76564
Nakayama, Akira; Kuwahara, Fujio; Sugiyama, Masazumi; Xu, Guoliang
2001
Second-order temperature and velocity structure functions: Reynolds number dependence. Zbl 1149.76305
Antonia, R. A.; Zhou, T.; Xu, G.
2000
Gradient-flow-based semi-implicit finite-element method and its convergence analysis for image reconstruction. Zbl 1236.78029
Chen, Chong; Xu, Guoliang
2012
Heat release rate correlation and combustion noise in premixed flames. Zbl 1241.76444
Swaminathan, N.; Xu, G.; Dowling, A. P.; Balachandran, R.
2011
Inversion of electron tomography images using $$L^2$$-gradient flows – computational methods. Zbl 1245.92046
Xu, Guoliang; Li, Ming; Gorpinath, Ajay; Bajaj, Chandrajit L.
2011
Surface fairing and featuring by mean curvature motions. Zbl 1040.65015
Xu, Guoliang
2004
A-splines: local interpolation and approximation using $$G^k$$-continuous piecewise real algebraic curves. Zbl 0997.65013
Bajaj, Chandrajit L.; Xu, Guoliang
1999
Spline approximations of real algebraic surfaces. Zbl 0872.68013
Bajaj, Chandrajit L.; Xu, Guoliang
1997
A general framework of piecewise-polynomial Mumford-Shah model for image segmentation. Zbl 1416.94014
Chen, Chong; Leng, Juelin; Xu, Guoliang
2017
Consistent approximations of several geometric differential operators and their convergence. Zbl 1284.65152
Xu, Guoliang
2013
Single droplet combustion of decane in microgravity: experiments and numerical modelling. Zbl 1086.80002
Dietrich, D. L.; Struk, P. M.; Ikegami, M.; Xu, G.
2005
$$C^{1}$$ modeling with A-patches from rational trivariate functions. Zbl 0971.68170
Xu, G.; Huang, H.; Bajaj, C.
2001
Regular algebraic curve segments. II: Interpolation and approximation. Zbl 0945.68177
Xu, G.; Bajaj, C. L.; Chu, C. I.
2000
Time-domain simulation of second-order irregular wave diffraction based on a hybrid water wave radiation condition. Zbl 07159891
Xu, G.; Hamouda, A. M. S.; Khoo, B. C.
2016
Delayed detached eddy simulations of fighter aircraft at high angle of attack. Zbl 1361.76014
Xu, Guoliang; Jiang, Xiong; Liu, Gang
2016
Security analysis of an arbitrated quantum signature scheme with Bell states. Zbl 1348.81212
Xu, Guoliang; Zou, Xiangfu
2016
Construction of several second- and fourth-order geometric partial differential equations for space curves. Zbl 1293.65030
Xu, Guoliang; Yang, Xuyang
2014
A robust 2-refinement algorithm in octree or rhombic dodecahedral tree based all-hexahedral mesh generation. Zbl 1352.65621
Zhang, Yongjie; Liang, Xinghua; Xu, Guoliang
2013
Geometric flow approach for region-based image segmentation. Zbl 1373.94463
Ye, Juntao; Xu, Guoliang
2012
A fast variational method for the construction of resolution adaptive $$C^2$$-smooth molecular surfaces. Zbl 1227.74106
Bajaj, Chandrajit L.; Xu, Guoliang; Zhang, Qin
2009
The influence of crack trapping on the toughness of fiber reinforced composites. Zbl 0968.74060
Xu, G.; Bower, A. F.; Ortiz, M.
1998
Rational spline approximations of real algebraic curves and surfaces. Zbl 0839.65013
Bajaj, Chandrajit L.; Xu, Guoliang
1994
Matrix Padé approximation: Recursive computations. Zbl 0761.65037
Xu, Guoliang; Bultheel, A.
1992
Existence and uniqueness of matrix Padé approximants. Zbl 0696.41013
Xu, Guoliang
1990
On the solvability of rational Hermite-interpolation problem. Zbl 0606.41017
Xu, Guoliang; Li, Jiakai
1985
Incoherent shock waves in long-range optical turbulence. Zbl 1415.78005
Xu, G.; Garnier, J.; Faccio, D.; Trillo, S.; Picozzi, A.
2016
Blended finite element method and its convergence for three-dimensional image reconstruction using $$L^2$$-gradient flow. Zbl 1307.65178
Xu, Guoliang; Chen, Chong
2014
Asymptotic dichotomy in a class of even-order neutral differential equations. Zbl 1304.34127
Lin, Jie-Xian; Xu, Guo-Liang; Wang, Gen-Qiang
2014
Flexible multi-scale image alignment using B-spline reparametrization. Zbl 1397.65034
Zheng, Yanmei; Jing, Zhucui; Xu, Guoliang
2013
Computational inversion of electron micrographs using $$L^{2}$$-gradient flows — convergence analysis. Zbl 1278.65142
Chen, C.; Xu, G.
2013
A fast classification method for single-particle projections with a translation and rotation invariant. Zbl 1289.78011
Wang, Xia; Xu, Guoliang
2013
Asymptotic dichotomy in a class of odd-order neutral differential equations. Zbl 1262.34079
Xu, Guo-Liang; Wang, Gen-Qiang
2012
Construction of geometric partial differential equations for level sets. Zbl 1224.65049
Chen, Chong; Xu, Guoliang
2010
Discrete schemes for Gaussian curvature and their convergence. Zbl 1186.65024
Xu, Zhiqiang; Xu, Guoliang
2009
Curvature computations for $$n$$-manifolds in $$\mathbb{R}^{n+m}$$ and solution to an open problem proposed by R. Goldman. Zbl 1171.65359
Zhang, Qin; Xu, Guoliang
2007
Minimal mean-curvature-variation surfaces and their applications in surface modeling. Zbl 1160.68661
Xu, Guoliang; Zhang, Qin
2006
Progressive computation and numerical tables of generalized Gaussian quadrature formulas. Zbl 1099.65509
Xu, Guoliang; Shi, Yingguang
2006
Triangular surface mesh fairing via Gaussian curvature flow. Zbl 1096.65023
Zhao, Huanxi; Xu, Guoliang
2006
Numerical analysis of concrete fracture based on a homogenization technique. Zbl 0899.73404
Xu, G.; Pietruszczak, S.
1997
Brittle response of concrete as a localization problem. Zbl 0874.73002
Pietruszczak, S.; Xu, G.
1995
Rational interpolation for Stieltjes functions. Zbl 0753.41005
Xu, Guoliang
1992
The problem of matrix Padé approximation. Zbl 0939.41513
Xu, Guo Liang; Bultheel, A.
1990
A general framework of piecewise-polynomial Mumford-Shah model for image segmentation. Zbl 1416.94014
Chen, Chong; Leng, Juelin; Xu, Guoliang
2017
Time-domain simulation of second-order irregular wave diffraction based on a hybrid water wave radiation condition. Zbl 07159891
Xu, G.; Hamouda, A. M. S.; Khoo, B. C.
2016
Delayed detached eddy simulations of fighter aircraft at high angle of attack. Zbl 1361.76014
Xu, Guoliang; Jiang, Xiong; Liu, Gang
2016
Security analysis of an arbitrated quantum signature scheme with Bell states. Zbl 1348.81212
Xu, Guoliang; Zou, Xiangfu
2016
Incoherent shock waves in long-range optical turbulence. Zbl 1415.78005
Xu, G.; Garnier, J.; Faccio, D.; Trillo, S.; Picozzi, A.
2016
Isogeometric analysis based on extended Loop’s subdivision. Zbl 1352.65532
Pan, Qing; Xu, Guoliang; Xu, Gang; Zhang, Yongjie
2015
Construction of several second- and fourth-order geometric partial differential equations for space curves. Zbl 1293.65030
Xu, Guoliang; Yang, Xuyang
2014
Blended finite element method and its convergence for three-dimensional image reconstruction using $$L^2$$-gradient flow. Zbl 1307.65178
Xu, Guoliang; Chen, Chong
2014
Asymptotic dichotomy in a class of even-order neutral differential equations. Zbl 1304.34127
Lin, Jie-Xian; Xu, Guo-Liang; Wang, Gen-Qiang
2014
Medical image interpolation based on multi-resolution registration. Zbl 1339.92037
Leng, Juelin; Xu, Guoliang; Zhang, Yongjie
2013
Consistent approximations of several geometric differential operators and their convergence. Zbl 1284.65152
Xu, Guoliang
2013
A robust 2-refinement algorithm in octree or rhombic dodecahedral tree based all-hexahedral mesh generation. Zbl 1352.65621
Zhang, Yongjie; Liang, Xinghua; Xu, Guoliang
2013
Flexible multi-scale image alignment using B-spline reparametrization. Zbl 1397.65034
Zheng, Yanmei; Jing, Zhucui; Xu, Guoliang
2013
Computational inversion of electron micrographs using $$L^{2}$$-gradient flows — convergence analysis. Zbl 1278.65142
Chen, C.; Xu, G.
2013
A fast classification method for single-particle projections with a translation and rotation invariant. Zbl 1289.78011
Wang, Xia; Xu, Guoliang
2013
Converting an unstructured quadrilateral/hexahedral mesh to a rational T-spline. Zbl 1312.65197
Wang, Wenyan; Zhang, Yongjie; Xu, Guoliang; Hughes, Thomas J. R.
2012
Gradient-flow-based semi-implicit finite-element method and its convergence analysis for image reconstruction. Zbl 1236.78029
Chen, Chong; Xu, Guoliang
2012
Geometric flow approach for region-based image segmentation. Zbl 1373.94463
Ye, Juntao; Xu, Guoliang
2012
Asymptotic dichotomy in a class of odd-order neutral differential equations. Zbl 1262.34079
Xu, Guo-Liang; Wang, Gen-Qiang
2012
Heat release rate correlation and combustion noise in premixed flames. Zbl 1241.76444
Swaminathan, N.; Xu, G.; Dowling, A. P.; Balachandran, R.
2011
Inversion of electron tomography images using $$L^2$$-gradient flows – computational methods. Zbl 1245.92046
Xu, Guoliang; Li, Ming; Gorpinath, Ajay; Bajaj, Chandrajit L.
2011
Construction of geometric partial differential equations for level sets. Zbl 1224.65049
Chen, Chong; Xu, Guoliang
2010
Surface smoothing and quality improvement of quadrilateral/hexahedral meshes with geometric flow. Zbl 1158.65314
Zhang, Yongjie; Bajaj, Chandrajit; Xu, Guoliang
2009
An extended OV model with consideration of driver’s memory. Zbl 1170.90354
Tang, T. Q.; Huang, H. J.; Zhao, S. G.; Xu, G.
2009
Three-dimensional modeling of arc plasma and metal transfer in gas metal arc welding. Zbl 1157.80379
Xu, G.; Hu, J.; Tsai, H. L.
2009
A fast variational method for the construction of resolution adaptive $$C^2$$-smooth molecular surfaces. Zbl 1227.74106
Bajaj, Chandrajit L.; Xu, Guoliang; Zhang, Qin
2009
Discrete schemes for Gaussian curvature and their convergence. Zbl 1186.65024
Xu, Zhiqiang; Xu, Guoliang
2009
A discrete scheme of Laplace-Beltrami operator and its convergence over quadrilateral meshes. Zbl 1152.65115
Liu, Dan; Xu, Guoliang; Zhang, Qin
2008
A general framework for surface modeling using geometric partial differential equations. Zbl 1172.65351
Xu, Guoliang; Zhang, Qin
2008
Finding community structures in complex networks using mixed integer optimisation. Zbl 1189.90027
Xu, G.; Tsoka, S.; Papageorgiou, L. G.
2007
Construction of $$\sigma$$-orthogonal polynomials and Gaussian quadrature formulas. Zbl 1122.65026
Shi, Ying Guang; Xu, Guoliang
2007
$$G^{2}$$ surface modeling using minimal mean-curvature-variation flow. Zbl 1206.65121
Xu, Guoliang; Zhang, Qin
2007
Curvature computations for $$n$$-manifolds in $$\mathbb{R}^{n+m}$$ and solution to an open problem proposed by R. Goldman. Zbl 1171.65359
Zhang, Qin; Xu, Guoliang
2007
Discrete surface modelling using partial differential equations. Zbl 1083.65018
Xu, Guoliang; Pan, Qing; Bajaj, Chandrajit L.
2006
Quality meshing of implicit solvation models of biomolecular structures. Zbl 1098.92034
Zhang, Yongjie; Xu, Guoliang; Bajaj, Chandrajit
2006
Discrete Laplace-Beltrami operator on sphere and optimal spherical triangulations. Zbl 1097.65041
Xu, Guoliang
2006
Convergence analysis of a discretization scheme for Gaussian curvature over triangular surfaces. Zbl 1083.65024
Xu, Guoliang
2006
Minimal mean-curvature-variation surfaces and their applications in surface modeling. Zbl 1160.68661
Xu, Guoliang; Zhang, Qin
2006
Progressive computation and numerical tables of generalized Gaussian quadrature formulas. Zbl 1099.65509
Xu, Guoliang; Shi, Yingguang
2006
Triangular surface mesh fairing via Gaussian curvature flow. Zbl 1096.65023
Zhao, Huanxi; Xu, Guoliang
2006
Convergence analysis of discrete differential geometry operators over surfaces. Zbl 1141.68642
Xu, Zhiqiang; Xu, Guoliang; Sun, Jia-Guang
2005
Interpolation by Loop’s subdivision functions. Zbl 1074.65016
Xu, Guoliang
2005
Single droplet combustion of decane in microgravity: experiments and numerical modelling. Zbl 1086.80002
Dietrich, D. L.; Struk, P. M.; Ikegami, M.; Xu, G.
2005
Discrete Laplace-Beltrami operators and their convergence. Zbl 1069.58500
Xu, Guoliang
2004
Convergence of discrete Laplace-Beltrami operators over surfaces. Zbl 1062.39019
Xu, Guoliang
2004
Surface fairing and featuring by mean curvature motions. Zbl 1040.65015
Xu, Guoliang
2004
Curvature computations of 2-manifolds in $$\mathbb{R}^k$$. Zbl 1031.65032
Xu, Guoliang; Bajaj, Chandrajit L.
2003
Adaptively robust filtering for kinematic geodetic positioning. Zbl 1036.86513
Yang, Y.; He, H.; Xu, G.
2001
A two-energy equation model for conduction and convection in porous media. Zbl 1091.76564
Nakayama, Akira; Kuwahara, Fujio; Sugiyama, Masazumi; Xu, Guoliang
2001
$$C^{1}$$ modeling with A-patches from rational trivariate functions. Zbl 0971.68170
Xu, G.; Huang, H.; Bajaj, C.
2001
A variational boundary integral method for the analysis of three-dimensional cracks of arbitrary geometry in anisotropic elastic solids. Zbl 1110.74768
Xu, G.
2000
Regular algebraic curve segments. I: Definitions and characteristics. Zbl 0945.68176
Xu, G.; Bajaj, C. L.; Xue, W.
2000
Second-order temperature and velocity structure functions: Reynolds number dependence. Zbl 1149.76305
Antonia, R. A.; Zhou, T.; Xu, G.
2000
Regular algebraic curve segments. II: Interpolation and approximation. Zbl 0945.68177
Xu, G.; Bajaj, C. L.; Chu, C. I.
2000
A-splines: local interpolation and approximation using $$G^k$$-continuous piecewise real algebraic curves. Zbl 0997.65013
Bajaj, Chandrajit L.; Xu, Guoliang
1999
The influence of crack trapping on the toughness of fiber reinforced composites. Zbl 0968.74060
Xu, G.; Bower, A. F.; Ortiz, M.
1998
Piecewise rational approximations of real algebraic curves. Zbl 0865.65005
Bajaj, C. L.; Xu, G. L.
1997
Spline approximations of real algebraic surfaces. Zbl 0872.68013
Bajaj, Chandrajit L.; Xu, Guoliang
1997
Numerical analysis of concrete fracture based on a homogenization technique. Zbl 0899.73404
Xu, G.; Pietruszczak, S.
1997
Brittle response of concrete as a localization problem. Zbl 0874.73002
Pietruszczak, S.; Xu, G.
1995
NURBS approximation of surface / surface intersection curves. Zbl 0831.65014
Bajaj, Chandrajit L.; Xu, Guoliang
1994
An analysis of non-planar crack growth under mixed mode loading. Zbl 0946.74570
Xu, G.; Bower, A. F.; Ortiz, M.
1994
Rational spline approximations of real algebraic curves and surfaces. Zbl 0839.65013
Bajaj, Chandrajit L.; Xu, Guoliang
1994
A variational boundary integral method for the analysis of 3-D cracks of arbitrary geometry modelled as continuous distributions of dislocation loops. Zbl 0796.73067
Xu, G.; Ortiz, M.
1993
Matrix Padé approximation: Recursive computations. Zbl 0761.65037
Xu, Guoliang; Bultheel, A.
1992
Rational interpolation for Stieltjes functions. Zbl 0753.41005
Xu, Guoliang
1992
Matrix Padé approximation: Definitions and properties. Zbl 0704.41011
1990
Existence and uniqueness of matrix Padé approximants. Zbl 0696.41013
Xu, Guoliang
1990
The problem of matrix Padé approximation. Zbl 0939.41513
Xu, Guo Liang; Bultheel, A.
1990
On the solvability of rational Hermite-interpolation problem. Zbl 0606.41017
Xu, Guoliang; Li, Jiakai
1985
all top 5

#### Cited by 703 Authors

 30 Xu, Guoliang 19 Zhang, Yongjie 14 Zhang, Yongjie Jessica 9 Hughes, Thomas J. R. 9 Rabczuk, Timon 9 Wei, Guowei 8 Bajaj, Chandrajit L. 8 Rungamornrat, Jaroon 8 Wei, Xiaodong 7 Mear, Mark E. 7 Xu, Gang 6 Chen, Chong 6 Pan, Qing 5 Ortiz, Michael 5 Pérez-Díaz, Sonia 5 Scott, Michael A. 5 Wang, Wenyan 4 Bazilevs, Yuri 4 Chen, Falai 4 Chen, Zhan 4 Chun, Sehun 4 Farhat, Charbel H. 4 Milovanović, Gradimir V. 4 Spalević, Miodrag M. 4 Zhang, Qin 3 Bultheel, Adhemar François 3 Costa, Alberto L. C. 3 González-Concepción, Concepción 3 Hansen, Pierre 3 Hsu, Ming-Chen 3 Jing, Zhucui 3 Jüttler, Bert 3 Lachaud, Jacques-Olivier 3 Lesoinne, Michel 3 Li, Xin 3 Liang, Xinghua 3 Liao, Tao 3 Liberti, Leo 3 Liu, Lei 3 Mehra, Mani 3 Papadrakakis, Manolis 3 Pawar, Aishwarya 3 Pestano-Gabino, Celina 3 Peters, Jorg 3 Pierson, Kendall H. 3 Polthier, Konrad 3 Rixen, Daniel J. 3 Sendra, Juan Rafael 3 Sendra, Juana 3 Wardetzky, Max 3 Xu, Guanshui 3 Zhao, Shan 2 Anitescu, Cosmin 2 Antonia, Robert Anthony 2 Baker, Nathan A. 2 Behera, Ratikanta 2 Bordas, Stéphane Pierre Alain 2 Borden, Michael J. 2 Brear, Michael John 2 Cafieri, Sonia 2 Carl, Wolfgang 2 Chen, Changbo 2 Cheng, Jinsan 2 Cheng, Rongjun 2 Chopp, David L. 2 Coeurjolly, David 2 Cvetković, Aleksandar S. 2 Danaila, Luminita 2 Deng, Jiansong 2 Evans, John A. 2 Fang, Eugene 2 Feng, Yong 2 Ge, Hongxia 2 Geng, Weihua 2 Gil-Fariña, María Candelaria 2 Hildebrandt, Klaus 2 Hu, Kangkang 2 Iga, Shin-ichi 2 Jia, Yue 2 Jin, Kai 2 Kang, Hongmei 2 Karčiauskas, Kęstutis 2 Kim, Junseok 2 Lai, Yicong 2 Lamb, Luís C. 2 Lazarus, Véronique 2 Leblond, Jean-Baptiste 2 Lei, Na 2 Leng, Juelin 2 Li, Ming 2 Li, Yibao 2 Liu, Gang 2 Lua, Jim 2 Ma, Weiyin 2 Mourrain, Bernard 2 Öktem, Ozan 2 Peng, Fengfu 2 Qian, Jin 2 Roux, François-Xavier 2 Santiago, Rafael de ...and 603 more Authors
all top 5

#### Cited in 111 Serials

 35 Computer Methods in Applied Mechanics and Engineering 25 Computer Aided Geometric Design 20 Journal of Computational Physics 18 Journal of Computational and Applied Mathematics 14 Computers & Mathematics with Applications 14 International Journal for Numerical Methods in Engineering 9 Journal of the Mechanics and Physics of Solids 8 International Journal of Heat and Mass Transfer 8 Computational Mechanics 6 Mathematical Problems in Engineering 5 Journal of Fluid Mechanics 5 Numerische Mathematik 5 Journal of Scientific Computing 5 Engineering Analysis with Boundary Elements 4 Numerical Algorithms 3 Journal of Mathematical Biology 3 Applied Mathematics and Computation 3 Theoretical Computer Science 3 Computers & Operations Research 3 International Journal of Computer Mathematics 3 Communications in Numerical Methods in Engineering 3 Advances in Computational Mathematics 3 International Journal of Fracture 3 Molecular Based Mathematical Biology 2 Computers and Fluids 2 Computer Physics Communications 2 International Journal of Engineering Science 2 International Journal of Theoretical Physics 2 Physica A 2 Mathematics of Computation 2 Computing 2 Journal of Approximation Theory 2 SIAM Journal on Numerical Analysis 2 Physica D 2 Applied Numerical Mathematics 2 Acta Mathematicae Applicatae Sinica. English Series 2 ACM Transactions on Graphics 2 Discrete & Computational Geometry 2 Applied Mathematical Modelling 2 Linear Algebra and its Applications 2 Journal of Mathematical Imaging and Vision 2 SIAM Journal on Scientific Computing 2 Physics of Fluids 2 Nonlinear Dynamics 2 Communications in Nonlinear Science and Numerical Simulation 2 Engineering Computations 2 Combustion Theory and Modelling 2 Journal of Systems Science and Complexity 2 Optimization Letters 2 Algorithms 2 International Journal for Numerical Methods in Biomedical Engineering 2 Axioms 2 Actes des Rencontres du C.I.R.M. 1 Applicable Analysis 1 Communications in Mathematical Physics 1 Discrete Applied Mathematics 1 International Journal of Solids and Structures 1 Inverse Problems 1 Mathematical Methods in the Applied Sciences 1 Physics Letters. A 1 Bulletin of Mathematical Biology 1 BIT 1 Geometriae Dedicata 1 Information Sciences 1 Journal of Optimization Theory and Applications 1 Pacific Journal of Mathematics 1 Circuits, Systems, and Signal Processing 1 Journal of Symbolic Computation 1 Numerical Methods for Partial Differential Equations 1 European Journal of Applied Mathematics 1 Annals of Operations Research 1 Neural Computation 1 International Journal of Computational Geometry & Applications 1 Computational Geometry 1 Differential Geometry and its Applications 1 Automation and Remote Control 1 Communications in Statistics. Simulation and Computation 1 European Journal of Operational Research 1 SIAM Journal on Mathematical Analysis 1 Applicable Algebra in Engineering, Communication and Computing 1 Numerical Linear Algebra with Applications 1 Computational and Applied Mathematics 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 ETNA. Electronic Transactions on Numerical Analysis 1 Top 1 Journal of Geodesy 1 ELA. The Electronic Journal of Linear Algebra 1 Mathematics and Mechanics of Solids 1 Journal of Inequalities and Applications 1 Journal of Applied Mechanics and Technical Physics 1 Journal of Combinatorial Optimization 1 Far East Journal of Applied Mathematics 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 International Journal of Modern Physics C 1 Journal of Turbulence 1 Archives of Computational Methods in Engineering 1 Foundations of Computational Mathematics 1 International Journal of Computational Methods 1 Mediterranean Journal of Mathematics 1 Science in China. Series F ...and 11 more Serials
all top 5

#### Cited in 40 Fields

 185 Numerical analysis (65-XX) 67 Mechanics of deformable solids (74-XX) 39 Computer science (68-XX) 38 Fluid mechanics (76-XX) 35 Partial differential equations (35-XX) 30 Differential geometry (53-XX) 29 Biology and other natural sciences (92-XX) 27 Approximations and expansions (41-XX) 21 Operations research, mathematical programming (90-XX) 15 Classical thermodynamics, heat transfer (80-XX) 14 Information and communication theory, circuits (94-XX) 11 Algebraic geometry (14-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 10 Global analysis, analysis on manifolds (58-XX) 8 Combinatorics (05-XX) 8 Convex and discrete geometry (52-XX) 8 Optics, electromagnetic theory (78-XX) 8 Systems theory; control (93-XX) 7 Statistics (62-XX) 7 Statistical mechanics, structure of matter (82-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Operator theory (47-XX) 3 Geometry (51-XX) 3 Quantum theory (81-XX) 3 Geophysics (86-XX) 2 General and overarching topics; collections (00-XX) 2 Special functions (33-XX) 2 Ordinary differential equations (34-XX) 2 Integral equations (45-XX) 2 Algebraic topology (55-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX)