## Zhang, Shun

Compute Distance To:
 Author ID: zhang.shun Published as: Zhang, Shun; Zhang, S.
 Documents Indexed: 97 Publications since 1988 Co-Authors: 52 Co-Authors with 55 Joint Publications 1,879 Co-Co-Authors
all top 5

### Co-Authors

 4 single-authored 16 Cai, Zhiqiang 11 Shi, Runhua 7 Barron, Ronald M. 5 An, C-F. 5 He, Cuiyu 5 Hesthaven, Jan S. 4 Cui, Jie 4 Fang, Gensun 4 Shaĭdurov, Vladimir Victorovich 4 Zhong, Hong 3 Mu, Yi 3 Novak, Erich 3 Peng, Zhen-wan 2 Cai, Difeng 2 Gao, Feifei 2 Gao, Tiegang 2 Huang, Fanglun 2 Jiang, Jianlin 2 Lapin, Aleksandr Vasil’evich 2 Rudraiah, Nanjundappa 2 Shananin, Aleksandr Alekseevich 2 Stamm, Benjamin 2 Ullrich, Mario 2 Wang, Pan-hong 2 Wang, Shenglan 2 Woźniakowski, Henryk 2 Zhang, Su 2 Zhu, Xueyu 1 Ambainis, Andris 1 Bogy, David B. 1 Chen, Zhang-kai 1 Childs, Andrew M. 1 Dautov, Rafail Z. 1 Deng, James Tian Quan 1 Domenech, Serge 1 Dota, Alicja 1 Falgout, Rob 1 Gao, Lin 1 Gogos, George 1 Guo, Guang-Can 1 Guo, Yuzhen 1 Gutman, Ivan M. 1 Han, Lei 1 Han, Shuping 1 Hao, Hui 1 Isakov, Victor M. 1 Kabanikhin, Sergeĭ Igorevich 1 Karpov, Eduard G. 1 Lapin, Serguei 1 Li, Jiandong 1 Li, Zhenglin 1 Liang, Feng-Yu 1 Lin, Daorong 1 Lin, Guangming 1 Liu, Liandong 1 Liu, Qinjie 1 Liu, Qunjie 1 Liu, Wing Kam 1 Luo, Zhen-yu 1 Lv, Yibing 1 Pagaldipti, N. 1 Park, Harold S. 1 Pei, Changxing 1 Qiu, Weifeng 1 Rajadas, J. N. 1 Reichardt, Ben W. 1 Ruan, Shiling 1 Shapiro, Vadim 1 Sheng, Guorui 1 Sheng, Min 1 Shishlenin, Maxim Aleksandrovich 1 Špalek, Robert 1 Tubani, M. 1 Vashchenko, M. P. 1 Wang, Chunbo 1 Wen, Jie 1 Xu, Min 1 Yang, Hongyong 1 Yang, Yuanxi 1 Ye, Xiu 1 Zhang, Cheng-Jie 1 Zhang, Jian 1 Zhang, Yi 1 Zhao, Huapeng 1 Zhou, Zheng-Wei 1 Zong, Guangdeng
all top 5

### Serials

 10 SIAM Journal on Numerical Analysis 6 Quantum Information Processing 5 Journal of Scientific Computing 4 International Journal of Theoretical Physics 4 Journal of Complexity 4 Lobachevskii Journal of Mathematics 3 Computer Methods in Applied Mechanics and Engineering 3 Applied Mathematical Modelling 2 International Journal of Modern Physics B 2 Discrete Mathematics 2 Journal of Mathematical Physics 2 Mathematics of Computation 2 Journal of Approximation Theory 2 Journal of Computational and Applied Mathematics 2 Communications in Applied Numerical Methods 2 IEEE Transactions on Signal Processing 2 SIAM Journal on Scientific Computing 2 Mathematical Problems in Engineering 2 Multiscale Modeling & Simulation 2 Journal of Industrial and Management Optimization 1 Computers & Mathematics with Applications 1 International Journal of Heat and Mass Transfer 1 Journal of Fluid Mechanics 1 Periodica Mathematica Hungarica 1 Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques 1 Information Sciences 1 International Journal for Numerical Methods in Engineering 1 Numerische Mathematik 1 RAIRO. Recherche Opérationnelle 1 SIAM Journal on Computing 1 Mathematics in Practice and Theory 1 Applied Numerical Mathematics 1 COMPEL 1 Numerical Methods for Partial Differential Equations 1 Signal Processing 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Computational Mathematics and Mathematical Physics 1 Journal of Physics A: Mathematical and General 1 Neurocomputing 1 Communications in Numerical Methods in Engineering 1 Advances in Computational Mathematics 1 Journal of Geodesy 1 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 1 Physica Scripta 1 Scientia Iranica 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 Journal of Applied Mathematics 1 Analysis and Applications (Singapore) 1 Journal of Hefei University of Technology. Natural Science 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Journal of Physics A: Mathematical and Theoretical 1 Communications in Theoretical Physics
all top 5

### Fields

 40 Numerical analysis (65-XX) 20 Partial differential equations (35-XX) 17 Quantum theory (81-XX) 17 Information and communication theory, circuits (94-XX) 15 Fluid mechanics (76-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Computer science (68-XX) 6 Operations research, mathematical programming (90-XX) 5 Functional analysis (46-XX) 4 Approximations and expansions (41-XX) 4 Operator theory (47-XX) 4 Mechanics of deformable solids (74-XX) 3 Combinatorics (05-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Optics, electromagnetic theory (78-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

69 Publications have been cited 385 times in 265 Documents Cited by Year
An introduction to computational nanomechanics and materials. Zbl 1079.74506
Liu, W. K.; Karpov, E. G.; Zhang, S.; Park, H. S.
2004
Discontinuous Galerkin finite element methods for interface problems: a priori and a posteriori error estimations. Zbl 1232.65142
Cai, Zhiqiang; Ye, Xiu; Zhang, Shun
2011
Recovery-based error estimator for interface problems: Conforming linear elements. Zbl 1204.65129
Cai, Zhiqiang; Zhang, Shun
2009
Efficient greedy algorithms for high-dimensional parameter spaces with applications to empirical interpolation and reduced basis methods. Zbl 1292.41001
Hesthaven, Jan S.; Stamm, Benjamin; Zhang, Shun
2014
Any AND-OR formula of size $$N$$ can be evaluated in time $$N^{1/2+o(1)}$$ on a quantum computer. Zbl 1207.68151
Ambainis, A.; Childs, A. M.; Reichardt, B. W.; Špalek, R.; Zhang, S.
2010
Recovery-based error estimators for interface problems: mixed and nonconforming finite elements. Zbl 1210.65185
Cai, Zhiqiang; Zhang, Shun
2010
Discontinuous finite element methods for interface problems: robust a priori and a posteriori error estimates. Zbl 1359.65248
Cai, Zhiqiang; He, Cuiyu; Zhang, Shun
2017
Robust equilibrated residual error estimator for diffusion problems: conforming elements. Zbl 1253.65175
Cai, Zhiqiang; Zhang, Shun
2012
Mixed finite element methods for incompressible flow: stationary Navier-Stokes equations. Zbl 1410.76160
Cai, Zhiqiang; Wang, Chunbo; Zhang, Shun
2010
Flux recovery and a posteriori error estimators: conforming elements for scalar elliptic equations. Zbl 1230.65117
Cai, Zhiqiang; Zhang, Shun
2010
An improved product construction for large sets of Kirkman triple systems. Zbl 1012.05034
Zhang, S.; Zhu, L.
2003
Transitive resolvable idempotent symmetric quasigroups and large sets of Kirkman triple systems. Zbl 0994.05032
Zhang, S.; Zhu, L.
2002
Mixed methods for stationary Navier-Stokes equations based on pseudostress-pressure-velocity formulation. Zbl 1307.76050
Cai, Zhiqiang; Zhang, Shun
2012
An efficient quantum scheme for private set intersection. Zbl 1333.81125
Shi, Run-hua; Mu, Yi; Zhong, Hong; Cui, Jie; Zhang, Shun
2016
Quantum solution to a class of two-party private summation problems. Zbl 1387.81193
Shi, Run-Hua; Zhang, Shun
2017
Analytic representation of finite quantum systems. Zbl 1064.81073
Zhang, S.; Vourdas, A.
2005
High-order multiscale finite element method for elliptic problems. Zbl 1315.65098
Hesthaven, Jan S.; Zhang, Shun; Zhu, Xueyu
2014
Certified reduced basis method for the electric field integral equation. Zbl 1247.78044
Hesthaven, J. S.; Stamm, B.; Zhang, S.
2012
Residual-based a posteriori error estimate for interface problems: nonconforming linear elements. Zbl 1355.65145
Cai, Zhiqiang; He, Cuiyu; Zhang, Shun
2017
Approximation of infinitely differentiable multivariate functions is not strongly tractable. Zbl 1108.41024
Huang, F. L.; Zhang, Shun
2007
A meshfree method for incompressible fluid dynamics problems. Zbl 1032.76658
Tsukanov, I.; Shapiro, V.; Zhang, S.
2003
Adaptive least-squares finite element methods for linear transport equations based on an H(div) flux reformulation. Zbl 1442.65383
Liu, Qunjie; Zhang, Shun
2020
Algorithm for determining the volatility function in the Black-Scholes model. Zbl 1437.91430
Isakov, V. M.; Kabanikhin, S. I.; Shananin, A. A.; Shishlenin, M. A.; Zhang, S.
2019
Quantum private set intersection cardinality and its application to anonymous authentication. Zbl 1428.81071
Shi, Run-hua; Mu, Yi; Zhong, Hong; Zhang, Shun; Cui, Jie
2016
Reduced basis multiscale finite element methods for elliptic problems. Zbl 1317.65238
Hesthaven, Jan S.; Zhang, Shun; Zhu, Xueyu
2015
On the use of ANOVA expansions in reduced basis methods for parametric partial differential equations. Zbl 1352.65508
Hesthaven, Jan S.; Zhang, Shun
2016
Une méthode d’optimisation non linéaire en variables mixtes pour la conception de procédés. (A nonlinear optimization method in mixed variables for the design of processes). Zbl 0656.90071
Yuan, X.; Zhang, S.; Pibouleau, L.; Domenech, S.
1988
Film evaporation of a spherical droplet over a hot surface: fluid mechanics and heat/mass transfer analysis. Zbl 0717.76121
Zhang, S.; Gogos, G.
1991
Graph connectivity and Wiener index. Zbl 1150.05327
Gutman, I.; Zhang, S.
2006
A novel quantum identity authentication based on Bell states. Zbl 1433.81072
Zhang, Shun; Chen, Zhang-Kai; Shi, Run-Hua; Liang, Feng-Yu
2020
Reproducing kernels of Sobolev spaces on $$\mathbb{R}^d$$ and applications to embedding constants and tractability. Zbl 1405.46022
Novak, Erich; Ullrich, Mario; Woźniakowski, Henryk; Zhang, Shun
2018
$$s$$-numbers of compact embeddings of function spaces on quasi-bounded domains. Zbl 1298.47030
Zhang, Shun; Dota, Alicja
2014
Some $$s$$-numbers of embeddings in function spaces with polynomial weights. Zbl 1327.47015
Zhang, Shun; Fang, Gensun; Huang, Fanglun
2014
Div first-order system LL* (FOSLL*) for second-order elliptic partial differential equations. Zbl 1312.65005
Cai, Zhiqiang; Falgout, Rob; Zhang, Shun
2015
Improved ZZ a posteriori error estimators for diffusion problems: conforming linear elements. Zbl 1439.65153
Cai, Zhiqiang; He, Cuiyu; Zhang, Shun
2017
Robust equilibrated a posteriori error estimator for higher order finite element approximations to diffusion problems. Zbl 1447.65130
Cai, Difeng; Cai, Zhiqiang; Zhang, Shun
2020
Adaptive flux-only least-squares finite element methods for linear transport equations. Zbl 1448.76103
Liu, Qinjie; Zhang, Shun
2020
Discrete maximum-norm stability of a linearized second-order finite difference scheme for Allen-Cahn equation. Zbl 1399.65211
Hou, T.; Wang, K.; Xiong, Y.; Xiao, X.; Zhang, Sh.
2017
Robust equilibrated error estimator for diffusion problems: mixed finite elements in two dimensions. Zbl 1437.65177
Cai, Difeng; Cai, Zhiqiang; Zhang, Shun
2020
Gelfand and Kolmogorov numbers of Sobolev embeddings of weighted function spaces. Zbl 1258.47033
Zhang, Shun; Fang, Gensun
2012
Robust residual- and recovery-based a posteriori error estimators for interface problems with flux jumps. Zbl 1245.65148
Cai, Zhiqiang; Zhang, Shun
2012
Widths of embeddings in weighted function spaces. Zbl 1270.47017
Zhang, Shun; Fang, Gensun
2013
Approximations of two-dimensional mean field games with nonsymmetric controls. Zbl 1428.49033
Shaydurov, V.; Zhang, S.; Kornienko, V.
2020
A heat transfer model for thermal fluctuations in a thin slider/disk air bearing. Zbl 0954.76502
Zhang, S.; Bogy, D. B.
1999
Unsteady conservative streamfunction coordinate formulation: 1-D isentropic flow. Zbl 0810.76051
Barron, R. M.; An, C-F.; Zhang, S.
1994
Robust and local optimal a priori error estimates for interface problems with low regularity: mixed finite element approximations. Zbl 1448.35500
Zhang, Shun
2020
A novel quantum scheme for secure two-party distance computation. Zbl 1382.81052
Peng, Zhen-wan; Shi, Run-hua; Zhong, Hong; Cui, Jie; Zhang, Shun
2017
Quantum anonymous voting protocol with the privacy protection of the candidate. Zbl 1428.81055
Zhang, Shun; Wang, Sheng-lan; Wang, Qing; Shi, Run-hua
2019
Optimal quadrature formulas for the Sobolev space $$H^1$$. Zbl 1455.65041
Zhang, Shun; Novak, Erich
2019
Complexity of oscillatory integrals on the real line. Zbl 1376.65163
Novak, Erich; Ullrich, Mario; Woźniakowski, Henryk; Zhang, Shun
2017
Financial bubbles existence in the Cantor-Lippman model for continuous time. Zbl 1417.91480
Shananin, A. A.; Vashchenko, M. P.; Zhang, Sh.
2018
The Euler-Lagrange approximation of the mean field game for the planning problem. Zbl 1466.65080
Shaydurov, V.; Kornienko, V.; Zhang, S.
2020
Phase space methods for particles on a circle. Zbl 1062.81102
Zhang, S.; Vourdas, A.
2003
Axisymmetric potential flow calculations. II: Design mode. Zbl 0736.76005
Zhang, S.; Barron, R. M.; Rudraiah, N.
1991
Adaptive first-order system least-squares finite element methods for second-order elliptic equations in nondivergence form. Zbl 1452.65355
Qiu, Weifeng; Zhang, Shun
2020
Refined non-conforming triangular plate element for geometrically nonlinear analysis. Zbl 1097.74552
Cheung, Y. K.; Zhang, S.; Chen, W.
2001
Stability of solutions of generalized logistic difference equations. Zbl 0819.39005
Briden, W.; Zhang, S.
1994
Shape optimization of turbine blades with the integration of aerodynamics and heat transfer. Zbl 0908.76079
1998
Yang, Yuanxi; Zhang, S.
2005
Generalized Prager-Synge identity and robust equilibrated error estimators for discontinuous elements. Zbl 1478.65116
Cai, Zhiqiang; He, Cuiyu; Zhang, Shun
2021
Improved ZZ a posteriori error estimators for diffusion problems: discontinuous elements. Zbl 1460.65143
Cai, Zhiqiang; He, Cuiyu; Zhang, Shun
2021
Streamfunction coordinate formulation for one-dimensional unsteady flow. Zbl 0848.76077
An, C.-F.; Barron, R. M.; Zhang, S.
1995
Primal-dual reduced basis methods for convex minimization variational problems: robust true solution a posteriori error certification and adaptive greedy algorithms. Zbl 1456.65171
Zhang, Shun
2020
Zeros in analytic representations of finite quantum systems on a torus. Zbl 1198.81112
Tubani, M.; Vourdas, A.; Zhang, S.
2010
Axisymmetric potential flow calculations. I: Analysis mode. Zbl 0699.76037
Barron, R. M.; Zhang, S.; Chandna, A.; Rudraiah, N.
1990
A variational inequality approach for constrained multifacility Weber problem under gauge. Zbl 1412.90079
Jiang, Jianlin; Zhang, Shun; Zhang, Su; Wen, Jie
2018
Privacy-preserving point-inclusion protocol for an arbitrary area based on phase-encoded quantum private query. Zbl 1398.81075
Shi, Run-hua; Mu, Yi; Zhong, Hong; Cui, Jie; Zhang, Shun
2017
A novel quantum solution to secure two-party distance computation. Zbl 1448.81289
Peng, Zhen-wan; Shi, Run-hua; Wang, Pan-hong; Zhang, Shun
2018
The finite difference approximation preserving conjugate properties of the mean-field game equations. Zbl 1418.91070
Shaydurov, V.; Zhang, S.; Karepova, E.
2019
Generalized Prager-Synge identity and robust equilibrated error estimators for discontinuous elements. Zbl 1478.65116
Cai, Zhiqiang; He, Cuiyu; Zhang, Shun
2021
Improved ZZ a posteriori error estimators for diffusion problems: discontinuous elements. Zbl 1460.65143
Cai, Zhiqiang; He, Cuiyu; Zhang, Shun
2021
Adaptive least-squares finite element methods for linear transport equations based on an H(div) flux reformulation. Zbl 1442.65383
Liu, Qunjie; Zhang, Shun
2020
A novel quantum identity authentication based on Bell states. Zbl 1433.81072
Zhang, Shun; Chen, Zhang-Kai; Shi, Run-Hua; Liang, Feng-Yu
2020
Robust equilibrated a posteriori error estimator for higher order finite element approximations to diffusion problems. Zbl 1447.65130
Cai, Difeng; Cai, Zhiqiang; Zhang, Shun
2020
Adaptive flux-only least-squares finite element methods for linear transport equations. Zbl 1448.76103
Liu, Qinjie; Zhang, Shun
2020
Robust equilibrated error estimator for diffusion problems: mixed finite elements in two dimensions. Zbl 1437.65177
Cai, Difeng; Cai, Zhiqiang; Zhang, Shun
2020
Approximations of two-dimensional mean field games with nonsymmetric controls. Zbl 1428.49033
Shaydurov, V.; Zhang, S.; Kornienko, V.
2020
Robust and local optimal a priori error estimates for interface problems with low regularity: mixed finite element approximations. Zbl 1448.35500
Zhang, Shun
2020
The Euler-Lagrange approximation of the mean field game for the planning problem. Zbl 1466.65080
Shaydurov, V.; Kornienko, V.; Zhang, S.
2020
Adaptive first-order system least-squares finite element methods for second-order elliptic equations in nondivergence form. Zbl 1452.65355
Qiu, Weifeng; Zhang, Shun
2020
Primal-dual reduced basis methods for convex minimization variational problems: robust true solution a posteriori error certification and adaptive greedy algorithms. Zbl 1456.65171
Zhang, Shun
2020
Algorithm for determining the volatility function in the Black-Scholes model. Zbl 1437.91430
Isakov, V. M.; Kabanikhin, S. I.; Shananin, A. A.; Shishlenin, M. A.; Zhang, S.
2019
Quantum anonymous voting protocol with the privacy protection of the candidate. Zbl 1428.81055
Zhang, Shun; Wang, Sheng-lan; Wang, Qing; Shi, Run-hua
2019
Optimal quadrature formulas for the Sobolev space $$H^1$$. Zbl 1455.65041
Zhang, Shun; Novak, Erich
2019
The finite difference approximation preserving conjugate properties of the mean-field game equations. Zbl 1418.91070
Shaydurov, V.; Zhang, S.; Karepova, E.
2019
Reproducing kernels of Sobolev spaces on $$\mathbb{R}^d$$ and applications to embedding constants and tractability. Zbl 1405.46022
Novak, Erich; Ullrich, Mario; Woźniakowski, Henryk; Zhang, Shun
2018
Financial bubbles existence in the Cantor-Lippman model for continuous time. Zbl 1417.91480
Shananin, A. A.; Vashchenko, M. P.; Zhang, Sh.
2018
A variational inequality approach for constrained multifacility Weber problem under gauge. Zbl 1412.90079
Jiang, Jianlin; Zhang, Shun; Zhang, Su; Wen, Jie
2018
A novel quantum solution to secure two-party distance computation. Zbl 1448.81289
Peng, Zhen-wan; Shi, Run-hua; Wang, Pan-hong; Zhang, Shun
2018
Discontinuous finite element methods for interface problems: robust a priori and a posteriori error estimates. Zbl 1359.65248
Cai, Zhiqiang; He, Cuiyu; Zhang, Shun
2017
Quantum solution to a class of two-party private summation problems. Zbl 1387.81193
Shi, Run-Hua; Zhang, Shun
2017
Residual-based a posteriori error estimate for interface problems: nonconforming linear elements. Zbl 1355.65145
Cai, Zhiqiang; He, Cuiyu; Zhang, Shun
2017
Improved ZZ a posteriori error estimators for diffusion problems: conforming linear elements. Zbl 1439.65153
Cai, Zhiqiang; He, Cuiyu; Zhang, Shun
2017
Discrete maximum-norm stability of a linearized second-order finite difference scheme for Allen-Cahn equation. Zbl 1399.65211
Hou, T.; Wang, K.; Xiong, Y.; Xiao, X.; Zhang, Sh.
2017
A novel quantum scheme for secure two-party distance computation. Zbl 1382.81052
Peng, Zhen-wan; Shi, Run-hua; Zhong, Hong; Cui, Jie; Zhang, Shun
2017
Complexity of oscillatory integrals on the real line. Zbl 1376.65163
Novak, Erich; Ullrich, Mario; Woźniakowski, Henryk; Zhang, Shun
2017
Privacy-preserving point-inclusion protocol for an arbitrary area based on phase-encoded quantum private query. Zbl 1398.81075
Shi, Run-hua; Mu, Yi; Zhong, Hong; Cui, Jie; Zhang, Shun
2017
An efficient quantum scheme for private set intersection. Zbl 1333.81125
Shi, Run-hua; Mu, Yi; Zhong, Hong; Cui, Jie; Zhang, Shun
2016
Quantum private set intersection cardinality and its application to anonymous authentication. Zbl 1428.81071
Shi, Run-hua; Mu, Yi; Zhong, Hong; Zhang, Shun; Cui, Jie
2016
On the use of ANOVA expansions in reduced basis methods for parametric partial differential equations. Zbl 1352.65508
Hesthaven, Jan S.; Zhang, Shun
2016
Reduced basis multiscale finite element methods for elliptic problems. Zbl 1317.65238
Hesthaven, Jan S.; Zhang, Shun; Zhu, Xueyu
2015
Div first-order system LL* (FOSLL*) for second-order elliptic partial differential equations. Zbl 1312.65005
Cai, Zhiqiang; Falgout, Rob; Zhang, Shun
2015
Efficient greedy algorithms for high-dimensional parameter spaces with applications to empirical interpolation and reduced basis methods. Zbl 1292.41001
Hesthaven, Jan S.; Stamm, Benjamin; Zhang, Shun
2014
High-order multiscale finite element method for elliptic problems. Zbl 1315.65098
Hesthaven, Jan S.; Zhang, Shun; Zhu, Xueyu
2014
$$s$$-numbers of compact embeddings of function spaces on quasi-bounded domains. Zbl 1298.47030
Zhang, Shun; Dota, Alicja
2014
Some $$s$$-numbers of embeddings in function spaces with polynomial weights. Zbl 1327.47015
Zhang, Shun; Fang, Gensun; Huang, Fanglun
2014
Widths of embeddings in weighted function spaces. Zbl 1270.47017
Zhang, Shun; Fang, Gensun
2013
Robust equilibrated residual error estimator for diffusion problems: conforming elements. Zbl 1253.65175
Cai, Zhiqiang; Zhang, Shun
2012
Mixed methods for stationary Navier-Stokes equations based on pseudostress-pressure-velocity formulation. Zbl 1307.76050
Cai, Zhiqiang; Zhang, Shun
2012
Certified reduced basis method for the electric field integral equation. Zbl 1247.78044
Hesthaven, J. S.; Stamm, B.; Zhang, S.
2012
Gelfand and Kolmogorov numbers of Sobolev embeddings of weighted function spaces. Zbl 1258.47033
Zhang, Shun; Fang, Gensun
2012
Robust residual- and recovery-based a posteriori error estimators for interface problems with flux jumps. Zbl 1245.65148
Cai, Zhiqiang; Zhang, Shun
2012
Discontinuous Galerkin finite element methods for interface problems: a priori and a posteriori error estimations. Zbl 1232.65142
Cai, Zhiqiang; Ye, Xiu; Zhang, Shun
2011
Any AND-OR formula of size $$N$$ can be evaluated in time $$N^{1/2+o(1)}$$ on a quantum computer. Zbl 1207.68151
Ambainis, A.; Childs, A. M.; Reichardt, B. W.; Špalek, R.; Zhang, S.
2010
Recovery-based error estimators for interface problems: mixed and nonconforming finite elements. Zbl 1210.65185
Cai, Zhiqiang; Zhang, Shun
2010
Mixed finite element methods for incompressible flow: stationary Navier-Stokes equations. Zbl 1410.76160
Cai, Zhiqiang; Wang, Chunbo; Zhang, Shun
2010
Flux recovery and a posteriori error estimators: conforming elements for scalar elliptic equations. Zbl 1230.65117
Cai, Zhiqiang; Zhang, Shun
2010
Zeros in analytic representations of finite quantum systems on a torus. Zbl 1198.81112
Tubani, M.; Vourdas, A.; Zhang, S.
2010
Recovery-based error estimator for interface problems: Conforming linear elements. Zbl 1204.65129
Cai, Zhiqiang; Zhang, Shun
2009
Approximation of infinitely differentiable multivariate functions is not strongly tractable. Zbl 1108.41024
Huang, F. L.; Zhang, Shun
2007
Graph connectivity and Wiener index. Zbl 1150.05327
Gutman, I.; Zhang, S.
2006
Analytic representation of finite quantum systems. Zbl 1064.81073
Zhang, S.; Vourdas, A.
2005
Yang, Yuanxi; Zhang, S.
2005
An introduction to computational nanomechanics and materials. Zbl 1079.74506
Liu, W. K.; Karpov, E. G.; Zhang, S.; Park, H. S.
2004
An improved product construction for large sets of Kirkman triple systems. Zbl 1012.05034
Zhang, S.; Zhu, L.
2003
A meshfree method for incompressible fluid dynamics problems. Zbl 1032.76658
Tsukanov, I.; Shapiro, V.; Zhang, S.
2003
Phase space methods for particles on a circle. Zbl 1062.81102
Zhang, S.; Vourdas, A.
2003
Transitive resolvable idempotent symmetric quasigroups and large sets of Kirkman triple systems. Zbl 0994.05032
Zhang, S.; Zhu, L.
2002
Refined non-conforming triangular plate element for geometrically nonlinear analysis. Zbl 1097.74552
Cheung, Y. K.; Zhang, S.; Chen, W.
2001
A heat transfer model for thermal fluctuations in a thin slider/disk air bearing. Zbl 0954.76502
Zhang, S.; Bogy, D. B.
1999
Shape optimization of turbine blades with the integration of aerodynamics and heat transfer. Zbl 0908.76079
1998
Streamfunction coordinate formulation for one-dimensional unsteady flow. Zbl 0848.76077
An, C.-F.; Barron, R. M.; Zhang, S.
1995
Unsteady conservative streamfunction coordinate formulation: 1-D isentropic flow. Zbl 0810.76051
Barron, R. M.; An, C-F.; Zhang, S.
1994
Stability of solutions of generalized logistic difference equations. Zbl 0819.39005
Briden, W.; Zhang, S.
1994
Film evaporation of a spherical droplet over a hot surface: fluid mechanics and heat/mass transfer analysis. Zbl 0717.76121
Zhang, S.; Gogos, G.
1991
Axisymmetric potential flow calculations. II: Design mode. Zbl 0736.76005
Zhang, S.; Barron, R. M.; Rudraiah, N.
1991
Axisymmetric potential flow calculations. I: Analysis mode. Zbl 0699.76037
Barron, R. M.; Zhang, S.; Chandna, A.; Rudraiah, N.
1990
Une méthode d’optimisation non linéaire en variables mixtes pour la conception de procédés. (A nonlinear optimization method in mixed variables for the design of processes). Zbl 0656.90071
Yuan, X.; Zhang, S.; Pibouleau, L.; Domenech, S.
1988
all top 5

### Cited by 457 Authors

 22 Zhang, Shun 16 Cai, Zhiqiang 13 Mu, Lin 7 He, Cuiyu 6 Hesthaven, Jan S. 5 Gatica, Gabriel N. 5 Huang, Yunqing 5 Oyarzúa, Ricardo 5 Park, Eun-Jae 5 Shi, Runhua 5 Song, Lina 5 Ye, Xiu 4 Cai, Difeng 4 Cangiani, Andrea 4 Chen, Yanping 4 He, Xiaoxiao 4 Novak, Erich 4 Sinha, Rajen Kumar 4 Starke, Gerhard 4 Wang, Junping 4 Xu, Guiqiao 4 Ye, Tianyu 4 Zhao, Shan 3 Ainsworth, Mark 3 Bertrand, Fleurianne 3 Bi, Chunjia 3 Bi, Hai 3 Cao, Shuhao 3 Chen, Huangxin 3 Deng, Weibing 3 Du, Shaohong 3 Ern, Alexandre 3 Georgoulis, Emmanuil H. 3 Hou, Yanren 3 Jain, Jinank 3 Jari, Rabeea 3 Kim, Dongho 3 Lee, Eunjung 3 Leng, Haitao 3 Liu, Bai 3 Nguyen, Van Kien 3 Reddy, Gujji Murali Mohan 3 Sen Gupta, Jhuma 3 Seo, Boyoon 3 Urban, Karsten 3 Wang, Cheng 3 Wei, Guowei 3 Xie, Xiaoping 3 Yang, Wei 3 Yang, Yidu 3 Zhang, Mingwu 3 Zhang, Zhimin 3 Zhao, Jianping 2 Amsallem, David 2 Benner, Peter 2 Buhr, Andreas 2 Camaño, Jessika 2 Carey, Varis 2 Chellappa, Sridhar 2 Chen, Gang 2 Chen, Peng 2 Chen, Yanlai 2 Cui, Jie 2 Dryja, Maksymilian 2 Dyczij-Edlinger, Romanus 2 Fang, Gensun 2 Farle, Ortwin 2 Feng, Lihong 2 Fu, Guosheng 2 Galvis, Juan 2 Guo, Hailong 2 Guo, Liming 2 Hayotov, Abdullo Rakhmonovich 2 Hinrichs, Aicke 2 Hoppe, Ronald H. W. 2 Hu, Jia-Li 2 Jeon, Soomin 2 Kressner, Daniel 2 Lemaire, Simon 2 Li, Yanjun 2 Li, Yuwen 2 Liao, Qifeng 2 Lin, Runchang 2 Lin, Yanping 2 Manzoni, Andrea 2 Nie, Yufeng 2 Ohlberger, Mario 2 Pauly, Dirk 2 Perotto, Simona 2 Qiu, Weifeng 2 Quarteroni, Alfio M. 2 Rozza, Gianluigi 2 Sabawi, Younis A. 2 Sarkis, Marcus V. 2 Singler, John R. 2 Sommer, Alexander 2 Song, Lunji 2 Tierra, Giordano 2 Vejchodský, Tomáš 2 Vybíral, Jan ...and 357 more Authors
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### Cited in 61 Serials

 30 Journal of Scientific Computing 24 Journal of Computational and Applied Mathematics 19 Computer Methods in Applied Mechanics and Engineering 15 International Journal of Theoretical Physics 15 Journal of Computational Physics 13 Computers & Mathematics with Applications 12 Quantum Information Processing 9 SIAM Journal on Numerical Analysis 8 Applied Numerical Mathematics 8 SIAM Journal on Scientific Computing 7 Journal of Complexity 7 Advances in Computational Mathematics 6 Numerische Mathematik 6 Numerical Methods for Partial Differential Equations 5 Mathematics of Computation 5 Journal of Approximation Theory 5 Computational Methods in Applied Mathematics 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Communications in Computational Physics 3 Applied Mathematics and Computation 3 International Journal for Numerical Methods in Engineering 3 SIAM/ASA Journal on Uncertainty Quantification 3 Electronic Research Archive 2 Numerical Algorithms 2 International Journal of Computer Mathematics 2 Journal of Numerical Mathematics 2 Multiscale Modeling & Simulation 2 Advances in Difference Equations 1 Acta Mechanica 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Engineering Mathematics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Notes 1 Mathematics of Operations Research 1 Computational Mechanics 1 Applied Mathematics Letters 1 SIAM Journal on Matrix Analysis and Applications 1 Applications of Mathematics 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Computational Mathematics and Mathematical Physics 1 Journal of Non-Newtonian Fluid Mechanics 1 Turkish Journal of Mathematics 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Finance and Stochastics 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Vietnam Journal of Mathematics 1 Computational Geosciences 1 Foundations of Computational Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 International Journal of Computational Methods 1 International Journal of Numerical Analysis and Modeling 1 Journal of Industrial and Management Optimization 1 Communications in Applied Mathematics and Computational Science 1 Advances in Mathematics of Communications 1 Discrete and Continuous Dynamical Systems. Series S 1 Numerical Mathematics: Theory, Methods and Applications 1 Advances in Applied Mathematics and Mechanics 1 Science China. Mathematics 1 Journal of Mathematical Research with Applications 1 Quanta 1 Vestnik KRAUNTS. Fiziko-Matematicheskie Nauki
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### Cited in 34 Fields

 209 Numerical analysis (65-XX) 105 Partial differential equations (35-XX) 50 Fluid mechanics (76-XX) 28 Quantum theory (81-XX) 22 Mechanics of deformable solids (74-XX) 20 Computer science (68-XX) 15 Information and communication theory, circuits (94-XX) 13 Approximations and expansions (41-XX) 10 Optics, electromagnetic theory (78-XX) 8 Operator theory (47-XX) 7 Functional analysis (46-XX) 6 Probability theory and stochastic processes (60-XX) 6 Statistics (62-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Systems theory; control (93-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Operations research, mathematical programming (90-XX) 3 Biology and other natural sciences (92-XX) 2 Number theory (11-XX) 2 Ordinary differential equations (34-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX)