## Liu, Yuan

Compute Distance To:
 Author ID: liu.yuan Published as: Liu, Yuan; Liu, Yu-An
 Documents Indexed: 174 Publications since 1986 1 Further Contribution Co-Authors: 185 Co-Authors with 95 Joint Publications 6,581 Co-Co-Authors
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### Co-Authors

 14 single-authored 8 Min, HaiBo 8 Wang, Shi Cheng 5 Chen, Wenbin 5 Cheng, Yingda 5 Liu, Zhiguo 5 Yang, Zhouwang 5 Zhang, Yongtao 4 Deng, Jiansong 4 Liao, Shouyi 3 Christlieb, Andrew J. 3 Fu, Shihui 3 Gong, Fuzhou 3 Hao, Wenrui 3 Hauenstein, Jonathan D. 3 Hu, Bei 3 Huang, Juntao 3 Liu, Hongyun 3 Ma, Long 3 Shu, Chi-Wang 3 Sommese, Andrew John 3 Song, Yanzhi 3 Tao, Zhanjing 3 Wang, Cheng 3 Wise, Steven M. 3 Xu, Zhengfu 3 Zhang, Mengping 2 Chen, Zhenhua 2 Guo, Wei 2 Kell, James III 2 Li, Lianhe 2 Liu, Fenlin 2 Liu, Yanling 2 Ni, Qian 2 Nof, Shimon Y. 2 Rattanawangcharoen, Nipon 2 Ruskin, Heather J. 2 Sun, MingBo 2 Tang, Qi 2 Wang, Guixia 2 Wang, Xuhui 2 Wu, Meng 2 Yang, Xuehua 2 Yao, Di 2 Zhang, Haixiang 2 Zheng, Jinhua 2 Zhou, Jianmin 1 An, Kaiqi 1 Baksmaty, L. O. 1 Bauer, Frank 1 Bell, Renee 1 Bi, Xiaohong 1 Bigelow, N. P. 1 Bingham, Harry B. 1 Booher, Jeremy 1 Bourdon, Abbey 1 Brennan, Michael J. 1 Brivio, D. 1 Bruchon, Julien 1 Burridge, Robert 1 Busby, Jerry S. 1 Carvelli, Valter 1 Chen, Bohai 1 Chen, Duanduan 1 Chen, Fei 1 Chen, Ke 1 Chen, Shanqin 1 Chen, Shuo 1 Chen, Zhenqiang 1 Cheng, Jin 1 Cheng, Mian 1 Cheng, Ziqiang 1 Choe, Sanghee 1 Chu, Xuening 1 Chung, Fan 1 Cukic, Bojan 1 De Brabanter, Kris 1 de Forcrand, Philippe 1 Dean, Thomas A. 1 Dellaert, Frank 1 Deng, Fang 1 Ding, Xuanhao 1 Dirr, Gunther 1 Doedel, Eusebius J. 1 Dou, Yixin 1 Du, Huijing 1 Du, Ying 1 Ejder, Özlem 1 Fan, Jintu 1 Fan, Xijun 1 Fan, Zeming 1 Farrugia, D. C. J. 1 Feng, Wenqiang 1 Foster, Andrew D. 1 Fu, Jie 1 Fu, Xiaoming 1 Gao, Weibing 1 Gao, Yuan 1 Grassini, P. 1 Guo, Lina 1 Hammer, Peter Ladislaw ...and 187 more Co-Authors
all top 5

### Serials

 8 Journal of Scientific Computing 5 Journal of the Franklin Institute 4 Acta Mechanica 4 Journal of Computational Physics 4 Computer Aided Geometric Design 4 Control Theory & Applications 3 Journal of Fluid Mechanics 3 Physics Letters. A 3 Chaos, Solitons and Fractals 3 Acta Automatica Sinica 3 Computational Mechanics 3 CMES. Computer Modeling in Engineering & Sciences 3 Scientia Sinica. Mathematica 2 Modern Physics Letters B 2 Archives of Mechanics 2 Astrophysics and Space Science 2 Computers and Fluids 2 Information Sciences 2 Journal of Computational and Applied Mathematics 2 Journal of Optimization Theory and Applications 2 Moscow University Computational Mathematics and Cybernetics 2 International Journal of Production Research 2 Journal of Classification 2 Archive of Applied Mechanics 2 SIAM Journal on Scientific Computing 2 Communications in Numerical Methods in Engineering 2 Mathematical Problems in Engineering 2 Far East Journal of Applied Mathematics 1 Journal of Electromagnetic Waves and Applications 1 International Journal of Modern Physics B 1 Biological Cybernetics 1 Discrete Applied Mathematics 1 European Journal of Physics 1 International Journal of Engineering Science 1 International Journal of Heat and Mass Transfer 1 International Journal for Numerical Methods in Fluids 1 Journal of the Mechanics and Physics of Solids 1 Journal of Sound and Vibration 1 Physica A 1 Physics Letters. B 1 Mathematics of Computation 1 Advances in Mathematics 1 Applied Mathematics and Computation 1 Biometrical Journal 1 International Journal for Numerical Methods in Engineering 1 Journal of Functional Analysis 1 Journal of the Operational Research Society 1 Journal für die Reine und Angewandte Mathematik 1 Mathematics and Computers in Simulation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 Osaka Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Theoretical Computer Science 1 Systems & Control Letters 1 Circuits, Systems, and Signal Processing 1 Mathematics in Practice and Theory 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematica Hungarica 1 Journal of Computational Mathematics 1 Physica D 1 Applied Numerical Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Finite Elements in Analysis and Design 1 Probability Theory and Related Fields 1 Journal of Biomathematics 1 Journal of Shanghai Jiaotong University (Chinese Edition) 1 Journal of Nanjing Aeronautical Institute 1 IEEE Transactions on Signal Processing 1 Journal of Natural Science of Heilongjiang University 1 Discrete Mathematics and Applications 1 Journal of Global Optimization 1 European Journal of Operational Research 1 International Journal of Computer Mathematics 1 Journal of Statistical Computation and Simulation 1 SIAM Journal on Applied Mathematics 1 Vestnik Moskovskogo Universiteta. Seriya 15 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Advances in Engineering Software 1 Potential Analysis 1 Nuclear Physics. B. Proceedings Supplements 1 Computational and Applied Mathematics 1 Pure and Applied Mathematics 1 Journal on Numerical Methods and Computer Applications 1 Complexity 1 Electronic Journal of Probability 1 Electronic Communications in Probability 1 Journal of Nonparametric Statistics 1 Journal of Vibration and Control 1 International Journal of Computational Fluid Dynamics 1 Chinese Quarterly Journal of Mathematics 1 Tsinghua Science and Technology 1 Journal of Applied Statistics 1 Engineering Transactions 1 International Journal of Modern Physics C 1 Nonlinear Analysis. Real World Applications 1 Journal of Zhejiang University. Engineering Science 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Systems Science and Complexity 1 Advanced Nonlinear Studies ...and 16 more Serials
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### Fields

 43 Numerical analysis (65-XX) 27 Mechanics of deformable solids (74-XX) 25 Partial differential equations (35-XX) 24 Fluid mechanics (76-XX) 21 Computer science (68-XX) 19 Systems theory; control (93-XX) 13 Biology and other natural sciences (92-XX) 12 Statistics (62-XX) 12 Operations research, mathematical programming (90-XX) 9 Probability theory and stochastic processes (60-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Quantum theory (81-XX) 7 Information and communication theory, circuits (94-XX) 6 Real functions (26-XX) 6 Ordinary differential equations (34-XX) 6 Statistical mechanics, structure of matter (82-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Operator theory (47-XX) 5 Optics, electromagnetic theory (78-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Potential theory (31-XX) 3 Combinatorics (05-XX) 3 Number theory (11-XX) 3 Measure and integration (28-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Algebraic geometry (14-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Mechanics of particles and systems (70-XX) 2 Geophysics (86-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX)

### Citations contained in zbMATH Open

87 Publications have been cited 657 times in 382 Documents Cited by Year
Convergence analysis of a fully discrete finite difference scheme for the Cahn-Hilliard-Hele-Shaw equation. Zbl 1342.65174
Chen, Wenbin; Liu, Yuan; Wang, Cheng; Wise, Steven M.
2016
Extended dissipative synchronization for semi-Markov jump complex dynamic networks via memory sampled-data control scheme. Zbl 1450.93082
Liu, Yu-An; Xia, Jianwei; Meng, Bo; Song, Xiaona; Shen, Hao
2020
Error analysis of a mixed finite element method for a Cahn-Hilliard-Hele-Shaw system. Zbl 06695814
Liu, Yuan; Chen, Wenbin; Wang, Cheng; Wise, Steven M.
2017
A robust reconstruction for unstructured WENO schemes. Zbl 1263.65087
Liu, Yuan; Zhang, Yong-Tao
2013
A second order energy stable scheme for the Cahn-Hilliard-Hele-Shaw equations. Zbl 1407.65097
Chen, Wenbin; Feng, Wenqiang; Liu, Yuan; Wang, Cheng; Wise, Steven M.
2019
Bifurcation for a free boundary problem modeling the growth of a tumor with a necrotic core. Zbl 1238.35193
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Liu, Yuan; Sommese, Andrew J.; Zhang, Yong-Tao
2012
Continuation along bifurcation branches for a tumor model with a necrotic core. Zbl 1328.92032
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Liu, Yuan; Sommese, Andrew J.; Zhang, Yong-Tao
2012
High order parametrized maximum-principle-preserving and positivity-preserving WENO schemes on unstructured meshes. Zbl 1354.65164
Christlieb, Andrew J.; Liu, Yuan; Tang, Qi; Xu, Zhengfu
2015
A meshfree Hermite-type radial point interpolation method for Kirchhoff plate problems. Zbl 1110.74871
Liu, Y.; Hon, Y. C.; Liew, K. M.
2006
Positivity-preserving finite difference weighted ENO schemes with constrained transport for ideal magnetohydrodynamic equations. Zbl 1329.76225
Christlieb, Andrew J.; Liu, Yuan; Tang, Qi; Xu, Zhengfu
2015
New phenomena concerning the effect of imperfect bonding on radial matrix cracking in fiber composites. Zbl 1210.74043
Liu, Y.; Ru, C. Q.; Schiavone, P.; Mioduchowski, A.
2001
Distributed adaptive consensus for multiple mechanical systems with switching topologies and time-varying delay. Zbl 1283.93024
Liu, Yuan; Min, Haibo; Wang, Shicheng; Liu, Zhiguo; Liao, Shouyi
2014
Distributed consensus of a class of networked heterogeneous multi-agent systems. Zbl 1395.93059
Liu, Yuan; Min, Haibo; Wang, Shicheng; Liu, Zhiguo; Liao, Shouyi
2014
Curvature aspects of graphs. Zbl 1361.31013
Bauer, F.; Chung, F.; Lin, Y.; Liu, Y.
2017
Shakedown analysis of defective pressure vessels by a kinematic approach. Zbl 0969.74582
Carvelli, V.; Cen, Z. Z.; Liu, Y.; Maier, G.
1999
High order operator splitting methods based on an integral deferred correction framework. Zbl 1349.65210
Christlieb, Andrew J.; Liu, Yuan; Xu, Zhengfu
2015
Strong stability preserving property of the deferred correction time discretization. Zbl 1174.65036
Liu, Yuan; Shu, Chiwang; Zhang, Mengping
2008
New positon, negaton and complexiton solutions for the Hirota-Satsuma coupled KdV system. Zbl 1223.35277
Hu, H. C.; Liu, Y.
2008
Noninferior Nash strategies for multi-team systems. Zbl 1064.91025
Liu, Y.; Simaan, M. A.
2004
Consensus for multiple heterogeneous Euler-Lagrange systems with time-delay and jointly connected topologies. Zbl 1290.93007
Liu, Yuan; Min, Haibo; Wang, Shicheng; Ma, Long; Liu, Zhiguo
2014
Saturated systems of homogeneous boxes and the logical analysis of numerical data. Zbl 1078.62503
Hammer, P. L.; Liu, Y.; Simeone, B.; Szedmák, S.
2004
Babich’s expansion and high-order Eulerian asymptotics for point-source Helmholtz equations. Zbl 1398.65320
Qian, Jianliang; Yuan, Lijun; Liu, Yuan; Luo, Songting; Burridge, Robert
2016
Interaction between screw dislocations and inclusions with imperfect interfaces in fiber-reinforced composites. Zbl 1168.74018
Fang, Q. H.; Jin, B.; Liu, Y.; Liu, Y. W.
2009
Compressible air entrapment in high-speed drop impacts on solid surfaces. Zbl 1284.76023
Liu, Yuan; Tan, Peng; Xu, Lei
2013
Gait sequence analysis using frieze patterns. Zbl 1039.68677
Liu, Y.; Collins, R.; Tsin, Y.
2002
Multiple stable steady states of a reaction-diffusion model on zebrafish dorsal-ventral patterning. Zbl 1218.65043
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Liu, Yuan; Sommese, Andrew J.; Zhang, Yong-Tao
2011
Diffused solute-solvent interface with Poisson-Boltzmann electrostatics: free-energy variation and sharp-interface limit. Zbl 1352.35175
Li, Bo; Liu, Yuan
2015
Spin dynamics: A paradigm for time optimal control on compact Lie groups. Zbl 1138.81058
Dirr, G.; Helmke, U.; Hüper, K.; Kleinsteuber, M.; Liu, Y.
2006
Adjoint method for an inverse problem of CCPF model. Zbl 1297.49063
Chen, Zhenhua; An, Kaiqi; Liu, Yuan; Chen, Wenbin
2014
An overview on coordination control problems of multi-agent systems. Zbl 1274.93009
Min, Haibo; Liu, Yuan; Wang, Shicheng; Sun, Fuchun
2012
A comparison of semi-active damping control strategies for vibration isolation of harmonic disturbances. Zbl 1236.74108
Liu, Y.; Waters, T. P.; Brennan, M. J.
2005
Isogeometric analysis on implicit domains using weighted extended PHT-splines. Zbl 07006482
Qarariyah, Ammar; Deng, Fang; Yang, Tianhui; Liu, Yuan; Deng, Jiansong
2019
Exceptional set for sums of unlike powers of primes. Zbl 1441.11259
Liu, Y.
2019
Consensus of nonlinear multi-agent systems with self and communication time delays: a unified framework. Zbl 1307.93033
Ma, Long; Min, Haibo; Wang, Shicheng; Liu, Yuan
2015
A coupled finite difference material point method and its application in explosion simulation. Zbl 1356.80062
Cui, X. X.; Zhang, X.; Zhou, X.; Liu, Y.; Zhang, F.
2014
On the origin of Lüders-like deformation of NiTi shape memory alloys. Zbl 1120.74402
Sittner, P.; Liu, Y.; Novak, V.
2005
Distributed finite-time attitude containment control of multi-rigid-body systems. Zbl 1395.93019
Ma, Long; Wang, Shicheng; Min, Haibo; Liao, Shouyi; Liu, Yuan
2015
Viral load and stochastic mutation in a Monte Carlo simulation of HIV. Zbl 0997.92025
Ruskin, H. J.; Pandey, R. B.; Liu, Y.
2002
Spectral gaps of Schrödinger operators and diffusion operators on abstract Wiener spaces. Zbl 1323.35115
Gong, Fu-Zhou; Liu, Yong; Liu, Yuan; Luo, De-Jun
2014
Simultaneous interior and boundary optimization of volumetric domain parameterizations for IGA. Zbl 07200768
Liu, Hao; Yang, Yang; Liu, Yuan; Fu, Xiao-Ming
2020
An efficient adaptive central-upwind WENO-CU6 numerical scheme with a new sensor. Zbl 1434.65146
Zhao, Guo-Yan; Sun, Ming-Bo; Mei, Yong; Li, Liang; Wang, Hong-Bo; Li, Guang-Xin; Liu, Yuan; Sun, Yong-Chao; Liang, Chang-Hai
2019
An adaptive multiresolution interior penalty discontinuous Galerkin method for wave equations in second order form. Zbl 1460.74080
Huang, Juntao; Liu, Yuan; Guo, Wei; Tao, Zhanjing; Cheng, Yingda
2020
Krylov implicit integration factor discontinuous Galerkin methods on sparse grids for high dimensional reaction-diffusion equations. Zbl 1452.65241
Liu, Yuan; Cheng, Yingda; Chen, Shanqin; Zhang, Yong-Tao
2019
Function representation based slicer for 3D printing. Zbl 06892795
Song, Yanzhi; Yang, Zhouwang; Liu, Yuan; Deng, Jiansong
2018
A sequential regression model for big data with attributive explanatory variables. Zbl 1383.62199
Zhang, Qing-Ting; Liu, Yuan; Zhou, Wen; Yang, Zhou-Wang
2015
Data mining feature selection for credit scoring models. Zbl 1097.91533
Liu, Y.; Schumann, M.
2005
Classification-driven pathological neuroimage retrieval using statistical asymmetry measures. Zbl 1041.68673
Liu, Y.; Dellaert, F.; Rothfus, W. E.; Moore, A.; Schneider, J.; Kanade, T.
2001
A homotopy-projection method for the parameter estimation problems. Zbl 1258.65095
Liu, Y.; Han, B.; Dou, Y. X.
2008
$$p$$-version hybrid/mixed finite element method. Zbl 0920.73353
Liu, Y.; Busby, H. R.
1998
Test of conformal gravity with astrophysical observations. Zbl 1331.83092
Yang, Rongjia; Chen, Bohai; Zhao, Haijun; Li, Jun; Liu, Yuan
2013
Mesoscopic simulation of binary immiscible fluids flow in a square microchannel with hydrophobic surfaces. Zbl 1184.76789
Chen, S.; Liu, Y.; Khoo, B. C.; Fan, X. J.; Fan, J. T.
2007
A simple bound-preserving sweeping technique for conservative numerical approximations. Zbl 1381.65087
Liu, Yuan; Cheng, Yingda; Shu, Chi-Wang
2017
A new characterization of quadratic transportation-information inequalities. Zbl 1375.26034
Liu, Yuan
2017
Evolutionary sampling: a novel way of machine learning within a probabilistic framework. Zbl 1360.68722
Xie, Zhenping; Sun, Jun; Palade, Vasile; Wang, Shitong; Liu, Yuan
2015
Study on network traffic forecast model of SVR optimized by GAFSA. Zbl 1360.62470
Liu, Yuan; Wang, RuiXue
2016
Implicit surface reconstruction with total variation regularization. Zbl 1366.65030
Liu, Yuan; Song, Yanzhi; Yang, Zhouwang; Deng, Jiansong
2017
Coordination control of networked Euler-Lagrange systems with possible switching topology. Zbl 1299.93133
Min, Haibo; Liu, Zhiguo; Liu, Yuan; Wang, Shicheng; Yang, Yanli
2013
Gaussian integrability of distance function under the Lyapunov condition. Zbl 1308.26023
Liu, Yuan
2015
Agent-based computational modelling of social risk responses. Zbl 1346.91163
Busby, J. S.; Onggo, B. S. S.; Liu, Y.
2016
Extended dissipative sliding mode control for nonlinear networked control systems via event-triggered mechanism with random uncertain measurement. Zbl 07422810
Liu, Yu-An; Tang, Shengdao; Liu, Yufan; Kong, Qingkai; Wang, Jing
2021
On the level of modular curves that give rise to isolated $$j$$-invariants. Zbl 1472.11190
Bourdon, Abbey; Ejder, Özlem; Liu, Yuan; Odumodu, Frances; Viray, Bianca
2019
Estimation and inference for generalized semi-varying coefficient models. Zbl 07192655
Liu, Yuan; Zhao, Yan-Yong; Zhao, Jian-Qiang; Miao, Zhang-Xiao
2018
The Poincaré inequality and quadratic transportation-variance inequalities. Zbl 1448.60051
Liu, Yuan
2020
Finite element setting for fluid flow simulations with natural enforcement of the triple junction equilibrium. Zbl 1410.76158
Bruchon, J.; Liu, Y.; Moulin, N.
2018
Compression algorithm for implicit 3D B-spline solids. Zbl 1393.94737
Song, Yanzhi; Luo, Yixin; Liu, Yuan; Deng, Jiansong; Yang, Zhouwang
2018
Turbulence decay in a supersonic boundary layer subjected to a transverse sonic jet. Zbl 1415.76427
Sun, Mingbo; Liu, Yuan; Hu, Zhiwei
2019
Numerical exploration of vortex matter in Bose-Einstein condensates. Zbl 1180.82010
Baksmaty, L. O.; Liu, Y.; Landman, U.; Bigelow, N. P.; Pu, Han
2009
A complete conjugate conduction convection and radiation problem for a heated block in a vertical differentially heated square enclosure. Zbl 0962.76091
Liu, Y.; Phan-Tien, N.
1999
Quantum histories and measurements. Zbl 0984.81011
Sokolovski, D.; Liu, Y.
2001
Models describing nonlinear interactions in graded neuron synapses. Zbl 1075.92014
Hu, J.-F.; Liu, Y.; Liang, P.-J.
2003
A new control method and its robustness for a class of nonlinear systems. Zbl 0631.93034
Liu, Y.; Cheng, M.; Gao, W. B.
1988
TestLAN approach and protocols for the integration of distributed assembly and test networks. Zbl 1034.90509
Williams, N. P.; Liu, Y.; Nof, S. Y.
2002
Axisymmetric wave propagation in a layered transversely isotropic medium. Zbl 0902.73080
Liu, K.; Li, X.; Liu, Y.
1997
Fermi’s golden rule: its derivation and breakdown by an ideal model. Zbl 1353.81057
Zhang, J. M.; Liu, Y.
2016
Ergodicity and asymptotic stability of Feller semigroups on Polish metric spaces. Zbl 1346.60042
Gong, FuZhou; Liu, Yuan
2015
Experimental and numerical study of the wave run-up along a vertical plate. Zbl 1193.76008
Molin, B.; Kimmoun, O.; Liu, Y.; Remy, F.; Bingham, H. B.
2010
Implication of entropy flow for the development of a system as suggested by the life cycle of a hurricane. Zbl 1195.86009
Liu, C.; Luo, Z.; Liu, Y.; Yu, H.; Zhou, X.; Wang, D.; Ma, L.; Xu, H.
2010
A link between the log-Sobolev inequality and Lyapunov condition. Zbl 1350.26029
Liu, Yuan
2016
Energy focusing and the shapes of wave fronts in anisotropic fluid-saturated porous media. Zbl 1126.74021
Liu, Y.; Gao, L.-T.
2007
Three-dimensional wake interactions for two side-by-side cylinders in a cross flow. Zbl 1370.76148
Liu, Y.; Cui, Z. X.
2006
An analytical solution for a cracked piezoelectric plate according to the PKHS electric boundary condition. Zbl 1093.74052
Liu, Y.; Chen, Y.-H.
2005
Bifurcation phenomenon in the wake of a 3-D cylinder. Zbl 1237.76041
Liu, Y.
2008
A distributed adaptive consensus algorithm of Euler-Lagrange system with input and communication delays. Zbl 1289.93003
Liu, Yuan; Wang, Shicheng; Min, Haibo; Liu, Zhiguo; Liao, Shouyi
2013
Applications of MLPG method in dynamic fracture problems. Zbl 1232.74086
Gao, L.; Liu, K.; Liu, Y.
2006
Molecular dynamics simulation of a microvillus in a cross flow. Zbl 1130.82325
Chen, X. Y.; Liu, Y.; So, R. M. C.; Yang, J. M.
2005
An extrapolated CN-WSGD OSC method for a nonlinear time fractional reaction-diffusion equation. Zbl 1446.65084
Zhang, Haixiang; Yang, Xuehua; Liu, Yanling; Liu, Yuan
2020
IB-WENO method for incompressible flow with elastic boundaries. Zbl 1461.76350
Cheng, Ziqiang; Liu, Yuan; Zhang, Mengping; Wang, Jin
2019
Extended dissipative sliding mode control for nonlinear networked control systems via event-triggered mechanism with random uncertain measurement. Zbl 07422810
Liu, Yu-An; Tang, Shengdao; Liu, Yufan; Kong, Qingkai; Wang, Jing
2021
Extended dissipative synchronization for semi-Markov jump complex dynamic networks via memory sampled-data control scheme. Zbl 1450.93082
Liu, Yu-An; Xia, Jianwei; Meng, Bo; Song, Xiaona; Shen, Hao
2020
Simultaneous interior and boundary optimization of volumetric domain parameterizations for IGA. Zbl 07200768
Liu, Hao; Yang, Yang; Liu, Yuan; Fu, Xiao-Ming
2020
An adaptive multiresolution interior penalty discontinuous Galerkin method for wave equations in second order form. Zbl 1460.74080
Huang, Juntao; Liu, Yuan; Guo, Wei; Tao, Zhanjing; Cheng, Yingda
2020
The Poincaré inequality and quadratic transportation-variance inequalities. Zbl 1448.60051
Liu, Yuan
2020
An extrapolated CN-WSGD OSC method for a nonlinear time fractional reaction-diffusion equation. Zbl 1446.65084
Zhang, Haixiang; Yang, Xuehua; Liu, Yanling; Liu, Yuan
2020
A second order energy stable scheme for the Cahn-Hilliard-Hele-Shaw equations. Zbl 1407.65097
Chen, Wenbin; Feng, Wenqiang; Liu, Yuan; Wang, Cheng; Wise, Steven M.
2019
Isogeometric analysis on implicit domains using weighted extended PHT-splines. Zbl 07006482
Qarariyah, Ammar; Deng, Fang; Yang, Tianhui; Liu, Yuan; Deng, Jiansong
2019
Exceptional set for sums of unlike powers of primes. Zbl 1441.11259
Liu, Y.
2019
An efficient adaptive central-upwind WENO-CU6 numerical scheme with a new sensor. Zbl 1434.65146
Zhao, Guo-Yan; Sun, Ming-Bo; Mei, Yong; Li, Liang; Wang, Hong-Bo; Li, Guang-Xin; Liu, Yuan; Sun, Yong-Chao; Liang, Chang-Hai
2019
Krylov implicit integration factor discontinuous Galerkin methods on sparse grids for high dimensional reaction-diffusion equations. Zbl 1452.65241
Liu, Yuan; Cheng, Yingda; Chen, Shanqin; Zhang, Yong-Tao
2019
On the level of modular curves that give rise to isolated $$j$$-invariants. Zbl 1472.11190
Bourdon, Abbey; Ejder, Özlem; Liu, Yuan; Odumodu, Frances; Viray, Bianca
2019
Turbulence decay in a supersonic boundary layer subjected to a transverse sonic jet. Zbl 1415.76427
Sun, Mingbo; Liu, Yuan; Hu, Zhiwei
2019
IB-WENO method for incompressible flow with elastic boundaries. Zbl 1461.76350
Cheng, Ziqiang; Liu, Yuan; Zhang, Mengping; Wang, Jin
2019
Function representation based slicer for 3D printing. Zbl 06892795
Song, Yanzhi; Yang, Zhouwang; Liu, Yuan; Deng, Jiansong
2018
Estimation and inference for generalized semi-varying coefficient models. Zbl 07192655
Liu, Yuan; Zhao, Yan-Yong; Zhao, Jian-Qiang; Miao, Zhang-Xiao
2018
Finite element setting for fluid flow simulations with natural enforcement of the triple junction equilibrium. Zbl 1410.76158
Bruchon, J.; Liu, Y.; Moulin, N.
2018
Compression algorithm for implicit 3D B-spline solids. Zbl 1393.94737
Song, Yanzhi; Luo, Yixin; Liu, Yuan; Deng, Jiansong; Yang, Zhouwang
2018
Error analysis of a mixed finite element method for a Cahn-Hilliard-Hele-Shaw system. Zbl 06695814
Liu, Yuan; Chen, Wenbin; Wang, Cheng; Wise, Steven M.
2017
Curvature aspects of graphs. Zbl 1361.31013
Bauer, F.; Chung, F.; Lin, Y.; Liu, Y.
2017
A simple bound-preserving sweeping technique for conservative numerical approximations. Zbl 1381.65087
Liu, Yuan; Cheng, Yingda; Shu, Chi-Wang
2017
A new characterization of quadratic transportation-information inequalities. Zbl 1375.26034
Liu, Yuan
2017
Implicit surface reconstruction with total variation regularization. Zbl 1366.65030
Liu, Yuan; Song, Yanzhi; Yang, Zhouwang; Deng, Jiansong
2017
Convergence analysis of a fully discrete finite difference scheme for the Cahn-Hilliard-Hele-Shaw equation. Zbl 1342.65174
Chen, Wenbin; Liu, Yuan; Wang, Cheng; Wise, Steven M.
2016
Babich’s expansion and high-order Eulerian asymptotics for point-source Helmholtz equations. Zbl 1398.65320
Qian, Jianliang; Yuan, Lijun; Liu, Yuan; Luo, Songting; Burridge, Robert
2016
Study on network traffic forecast model of SVR optimized by GAFSA. Zbl 1360.62470
Liu, Yuan; Wang, RuiXue
2016
Agent-based computational modelling of social risk responses. Zbl 1346.91163
Busby, J. S.; Onggo, B. S. S.; Liu, Y.
2016
Fermi’s golden rule: its derivation and breakdown by an ideal model. Zbl 1353.81057
Zhang, J. M.; Liu, Y.
2016
A link between the log-Sobolev inequality and Lyapunov condition. Zbl 1350.26029
Liu, Yuan
2016
High order parametrized maximum-principle-preserving and positivity-preserving WENO schemes on unstructured meshes. Zbl 1354.65164
Christlieb, Andrew J.; Liu, Yuan; Tang, Qi; Xu, Zhengfu
2015
Positivity-preserving finite difference weighted ENO schemes with constrained transport for ideal magnetohydrodynamic equations. Zbl 1329.76225
Christlieb, Andrew J.; Liu, Yuan; Tang, Qi; Xu, Zhengfu
2015
High order operator splitting methods based on an integral deferred correction framework. Zbl 1349.65210
Christlieb, Andrew J.; Liu, Yuan; Xu, Zhengfu
2015
Diffused solute-solvent interface with Poisson-Boltzmann electrostatics: free-energy variation and sharp-interface limit. Zbl 1352.35175
Li, Bo; Liu, Yuan
2015
Consensus of nonlinear multi-agent systems with self and communication time delays: a unified framework. Zbl 1307.93033
Ma, Long; Min, Haibo; Wang, Shicheng; Liu, Yuan
2015
Distributed finite-time attitude containment control of multi-rigid-body systems. Zbl 1395.93019
Ma, Long; Wang, Shicheng; Min, Haibo; Liao, Shouyi; Liu, Yuan
2015
A sequential regression model for big data with attributive explanatory variables. Zbl 1383.62199
Zhang, Qing-Ting; Liu, Yuan; Zhou, Wen; Yang, Zhou-Wang
2015
Evolutionary sampling: a novel way of machine learning within a probabilistic framework. Zbl 1360.68722
Xie, Zhenping; Sun, Jun; Palade, Vasile; Wang, Shitong; Liu, Yuan
2015
Gaussian integrability of distance function under the Lyapunov condition. Zbl 1308.26023
Liu, Yuan
2015
Ergodicity and asymptotic stability of Feller semigroups on Polish metric spaces. Zbl 1346.60042
Gong, FuZhou; Liu, Yuan
2015
Distributed adaptive consensus for multiple mechanical systems with switching topologies and time-varying delay. Zbl 1283.93024
Liu, Yuan; Min, Haibo; Wang, Shicheng; Liu, Zhiguo; Liao, Shouyi
2014
Distributed consensus of a class of networked heterogeneous multi-agent systems. Zbl 1395.93059
Liu, Yuan; Min, Haibo; Wang, Shicheng; Liu, Zhiguo; Liao, Shouyi
2014
Consensus for multiple heterogeneous Euler-Lagrange systems with time-delay and jointly connected topologies. Zbl 1290.93007
Liu, Yuan; Min, Haibo; Wang, Shicheng; Ma, Long; Liu, Zhiguo
2014
Adjoint method for an inverse problem of CCPF model. Zbl 1297.49063
Chen, Zhenhua; An, Kaiqi; Liu, Yuan; Chen, Wenbin
2014
A coupled finite difference material point method and its application in explosion simulation. Zbl 1356.80062
Cui, X. X.; Zhang, X.; Zhou, X.; Liu, Y.; Zhang, F.
2014
Spectral gaps of Schrödinger operators and diffusion operators on abstract Wiener spaces. Zbl 1323.35115
Gong, Fu-Zhou; Liu, Yong; Liu, Yuan; Luo, De-Jun
2014
A robust reconstruction for unstructured WENO schemes. Zbl 1263.65087
Liu, Yuan; Zhang, Yong-Tao
2013
Compressible air entrapment in high-speed drop impacts on solid surfaces. Zbl 1284.76023
Liu, Yuan; Tan, Peng; Xu, Lei
2013
Test of conformal gravity with astrophysical observations. Zbl 1331.83092
Yang, Rongjia; Chen, Bohai; Zhao, Haijun; Li, Jun; Liu, Yuan
2013
Coordination control of networked Euler-Lagrange systems with possible switching topology. Zbl 1299.93133
Min, Haibo; Liu, Zhiguo; Liu, Yuan; Wang, Shicheng; Yang, Yanli
2013
A distributed adaptive consensus algorithm of Euler-Lagrange system with input and communication delays. Zbl 1289.93003
Liu, Yuan; Wang, Shicheng; Min, Haibo; Liu, Zhiguo; Liao, Shouyi
2013
Bifurcation for a free boundary problem modeling the growth of a tumor with a necrotic core. Zbl 1238.35193
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Liu, Yuan; Sommese, Andrew J.; Zhang, Yong-Tao
2012
Continuation along bifurcation branches for a tumor model with a necrotic core. Zbl 1328.92032
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Liu, Yuan; Sommese, Andrew J.; Zhang, Yong-Tao
2012
An overview on coordination control problems of multi-agent systems. Zbl 1274.93009
Min, Haibo; Liu, Yuan; Wang, Shicheng; Sun, Fuchun
2012
Multiple stable steady states of a reaction-diffusion model on zebrafish dorsal-ventral patterning. Zbl 1218.65043
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Liu, Yuan; Sommese, Andrew J.; Zhang, Yong-Tao
2011
Experimental and numerical study of the wave run-up along a vertical plate. Zbl 1193.76008
Molin, B.; Kimmoun, O.; Liu, Y.; Remy, F.; Bingham, H. B.
2010
Implication of entropy flow for the development of a system as suggested by the life cycle of a hurricane. Zbl 1195.86009
Liu, C.; Luo, Z.; Liu, Y.; Yu, H.; Zhou, X.; Wang, D.; Ma, L.; Xu, H.
2010
Interaction between screw dislocations and inclusions with imperfect interfaces in fiber-reinforced composites. Zbl 1168.74018
Fang, Q. H.; Jin, B.; Liu, Y.; Liu, Y. W.
2009
Numerical exploration of vortex matter in Bose-Einstein condensates. Zbl 1180.82010
Baksmaty, L. O.; Liu, Y.; Landman, U.; Bigelow, N. P.; Pu, Han
2009
Strong stability preserving property of the deferred correction time discretization. Zbl 1174.65036
Liu, Yuan; Shu, Chiwang; Zhang, Mengping
2008
New positon, negaton and complexiton solutions for the Hirota-Satsuma coupled KdV system. Zbl 1223.35277
Hu, H. C.; Liu, Y.
2008
A homotopy-projection method for the parameter estimation problems. Zbl 1258.65095
Liu, Y.; Han, B.; Dou, Y. X.
2008
Bifurcation phenomenon in the wake of a 3-D cylinder. Zbl 1237.76041
Liu, Y.
2008
Mesoscopic simulation of binary immiscible fluids flow in a square microchannel with hydrophobic surfaces. Zbl 1184.76789
Chen, S.; Liu, Y.; Khoo, B. C.; Fan, X. J.; Fan, J. T.
2007
Energy focusing and the shapes of wave fronts in anisotropic fluid-saturated porous media. Zbl 1126.74021
Liu, Y.; Gao, L.-T.
2007
A meshfree Hermite-type radial point interpolation method for Kirchhoff plate problems. Zbl 1110.74871
Liu, Y.; Hon, Y. C.; Liew, K. M.
2006
Spin dynamics: A paradigm for time optimal control on compact Lie groups. Zbl 1138.81058
Dirr, G.; Helmke, U.; Hüper, K.; Kleinsteuber, M.; Liu, Y.
2006
Three-dimensional wake interactions for two side-by-side cylinders in a cross flow. Zbl 1370.76148
Liu, Y.; Cui, Z. X.
2006
Applications of MLPG method in dynamic fracture problems. Zbl 1232.74086
Gao, L.; Liu, K.; Liu, Y.
2006
A comparison of semi-active damping control strategies for vibration isolation of harmonic disturbances. Zbl 1236.74108
Liu, Y.; Waters, T. P.; Brennan, M. J.
2005
On the origin of Lüders-like deformation of NiTi shape memory alloys. Zbl 1120.74402
Sittner, P.; Liu, Y.; Novak, V.
2005
Data mining feature selection for credit scoring models. Zbl 1097.91533
Liu, Y.; Schumann, M.
2005
An analytical solution for a cracked piezoelectric plate according to the PKHS electric boundary condition. Zbl 1093.74052
Liu, Y.; Chen, Y.-H.
2005
Molecular dynamics simulation of a microvillus in a cross flow. Zbl 1130.82325
Chen, X. Y.; Liu, Y.; So, R. M. C.; Yang, J. M.
2005
Noninferior Nash strategies for multi-team systems. Zbl 1064.91025
Liu, Y.; Simaan, M. A.
2004
Saturated systems of homogeneous boxes and the logical analysis of numerical data. Zbl 1078.62503
Hammer, P. L.; Liu, Y.; Simeone, B.; Szedmák, S.
2004
Models describing nonlinear interactions in graded neuron synapses. Zbl 1075.92014
Hu, J.-F.; Liu, Y.; Liang, P.-J.
2003
Gait sequence analysis using frieze patterns. Zbl 1039.68677
Liu, Y.; Collins, R.; Tsin, Y.
2002
Viral load and stochastic mutation in a Monte Carlo simulation of HIV. Zbl 0997.92025
Ruskin, H. J.; Pandey, R. B.; Liu, Y.
2002
TestLAN approach and protocols for the integration of distributed assembly and test networks. Zbl 1034.90509
Williams, N. P.; Liu, Y.; Nof, S. Y.
2002
New phenomena concerning the effect of imperfect bonding on radial matrix cracking in fiber composites. Zbl 1210.74043
Liu, Y.; Ru, C. Q.; Schiavone, P.; Mioduchowski, A.
2001
Classification-driven pathological neuroimage retrieval using statistical asymmetry measures. Zbl 1041.68673
Liu, Y.; Dellaert, F.; Rothfus, W. E.; Moore, A.; Schneider, J.; Kanade, T.
2001
Quantum histories and measurements. Zbl 0984.81011
Sokolovski, D.; Liu, Y.
2001
Shakedown analysis of defective pressure vessels by a kinematic approach. Zbl 0969.74582
Carvelli, V.; Cen, Z. Z.; Liu, Y.; Maier, G.
1999
A complete conjugate conduction convection and radiation problem for a heated block in a vertical differentially heated square enclosure. Zbl 0962.76091
Liu, Y.; Phan-Tien, N.
1999
$$p$$-version hybrid/mixed finite element method. Zbl 0920.73353
Liu, Y.; Busby, H. R.
1998
Axisymmetric wave propagation in a layered transversely isotropic medium. Zbl 0902.73080
Liu, K.; Li, X.; Liu, Y.
1997
A new control method and its robustness for a class of nonlinear systems. Zbl 0631.93034
Liu, Y.; Cheng, M.; Gao, W. B.
1988
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### Cited by 724 Authors

 25 Wang, Cheng 18 Hao, Wenrui 17 Liu, Yuan 17 Wise, Steven M. 14 Christlieb, Andrew J. 14 Shu, Chi-Wang 13 Zhu, Jun 12 Chen, Wenbin 12 Hu, Bei 11 Wang, Jing 8 Kim, Junseok 7 Jia, Hongen 7 Wu, Kailiang 7 Yang, Junxiang 6 Hauenstein, Jonathan D. 6 Sommese, Andrew John 6 Wang, Xiaoming 6 Yang, Xiaofeng 6 Zhang, Yongtao 6 Zhang, Zhengru 5 Chen, Xiangyong 5 Cheng, Kelong 5 Cheng, Yingda 5 Qiu, Jianxian 5 Seal, David C. 5 Tang, Qi 5 Xu, Zhengfu 5 Yue, Xingye 4 Bakhvalov, Pavel A. 4 Deng, Jiansong 4 Huang, Juntao 4 Jiang, Yan 4 Liu, Chun 4 Liu, Wei 4 Qian, Jianliang 4 Qiu, Jingmei 4 Su, Lei 4 Tao, Zhanjing 4 Wu, Junde 4 Yan, Yue 3 Burridge, Robert 3 Chen, Chuanjun 3 Chen, Hongbin 3 Crockatt, Michael M. 3 Cui, Jintao 3 Dong, Lixiu 3 Feng, Wenqiang 3 Guo, Wei 3 Guo, Yayu 3 Han, Daozhi 3 Hauck, Cory D. 3 He, Yinnian 3 Kozubskaya, Tatiana K. 3 Li, Bo 3 Li, Yibao 3 Lowengrub, John Samuel 3 Lu, Wangtao 3 Min, HaiBo 3 Nuño, Emmanuel 3 Öffner, Philipp 3 Shi, Kaibo 3 Song, Huijuan 3 Wang, Danxia 3 Wang, Shi Cheng 3 Wang, Zejia 3 Wang, Zhanshan 3 Xing, Ruixiang 3 Zhang, Huaguang 3 Zhang, Mengping 3 Zhang, Yarong 3 Zhang, Zhengce 3 Zhao, Xinyue Evelyn 2 Abgrall, Rémi 2 Balsara, Dinshaw S. 2 Cai, Yuliang 2 Cao, Jinde 2 Chen, Fei 2 Chen, Qipin 2 Chen, Rui 2 Chen, Zengqiang 2 Cheng, Qing 2 Dong, Runsha 2 Fang, Tian 2 Farzi, Javad 2 Feng, Xiao 2 Fu, Dongmei 2 Fu, Lin 2 Gao, Yali 2 Garain, Sudip K. 2 Garrett, C. Kristopher 2 Geng, Zhiyong 2 Guo, Shaoyan 2 Hesthaven, Jan S. 2 Hicks, Peter D. 2 Huang, Qiumei 2 Huang, Yaodan 2 Huang, Yunqing 2 Jacobs, Matthew 2 Ji, Ye 2 Jiao, Xiangmin ...and 624 more Authors
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### Cited in 95 Serials

 46 Journal of Computational Physics 41 Applied Mathematics and Computation 38 Journal of Scientific Computing 27 Journal of the Franklin Institute 18 Journal of Computational and Applied Mathematics 12 SIAM Journal on Scientific Computing 11 Communications in Computational Physics 10 Computers and Fluids 9 Computer Methods in Applied Mechanics and Engineering 7 Computers & Mathematics with Applications 7 Applied Numerical Mathematics 6 Journal of Fluid Mechanics 6 Numerische Mathematik 6 Advances in Applied Mathematics and Mechanics 5 Computer Aided Geometric Design 4 International Journal of Control 4 Journal of Differential Equations 4 SIAM Journal on Numerical Analysis 4 Nonlinear Dynamics 4 Nonlinear Analysis. Real World Applications 4 Multiscale Modeling & Simulation 3 Journal of Mathematical Analysis and Applications 3 Mathematics of Computation 3 Information Sciences 3 Advances in Computational Mathematics 3 Communications in Nonlinear Science and Numerical Simulation 3 Discrete and Continuous Dynamical Systems. Series B 3 Communications in Applied Mathematics and Computational Science 3 AIMS Mathematics 2 Archive for Rational Mechanics and Analysis 2 Nonlinearity 2 Physica A 2 Automatica 2 Systems & Control Letters 2 International Journal of Adaptive Control and Signal Processing 2 International Journal of Robust and Nonlinear Control 2 Electronic Journal of Probability 2 Discrete and Continuous Dynamical Systems 2 Mathematical Problems in Engineering 2 European Journal of Control 2 Journal of Systems Science and Complexity 2 International Journal of Numerical Analysis and Modeling 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Nonlinear Analysis. Hybrid Systems 2 Journal of Control Science and Engineering 2 International Journal of Systems Science. Principles and Applications of Systems and Integration 2 AMM. Applied Mathematics and Mechanics. (English Edition) 2 Communications on Applied Mathematics and Computation 1 Journal of Engineering Mathematics 1 Physics Letters. B 1 Russian Mathematical Surveys 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Bulletin of Mathematical Biology 1 Chaos, Solitons and Fractals 1 Journal of Functional Analysis 1 Journal für die Reine und Angewandte Mathematik 1 Bulletin of the Iranian Mathematical Society 1 Journal of Symbolic Computation 1 Probability Theory and Related Fields 1 International Journal of Approximate Reasoning 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 Applied Mathematical Modelling 1 SIAM Journal on Applied Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Dynamics and Differential Equations 1 Journal of Nonlinear Science 1 Potential Analysis 1 Computational and Applied Mathematics 1 Abstract and Applied Analysis 1 Chaos 1 Discrete Dynamics in Nature and Society 1 Journal of Mathematical Fluid Mechanics 1 Computational Geosciences 1 Mathematical Modelling and Analysis 1 Matematicheskoe Modelirovanie 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Cosmology and Astroparticle Physics 1 Boundary Value Problems 1 Frontiers of Mathematics in China 1 Numerical Mathematics: Theory, Methods and Applications 1 Asian Journal of Control 1 Journal of Applied Analysis and Computation 1 Forum of Mathematics, Sigma 1 Communications in Mathematics and Statistics 1 Journal of the Operations Research Society of China 1 East Asian Journal on Applied Mathematics 1 Research in the Mathematical Sciences 1 Research in Number Theory 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Journal of Nonlinear and Variational Analysis 1 Results in Applied Mathematics 1 Foundations of Data Science
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### Cited in 39 Fields

 208 Numerical analysis (65-XX) 155 Partial differential equations (35-XX) 107 Fluid mechanics (76-XX) 92 Systems theory; control (93-XX) 33 Computer science (68-XX) 32 Biology and other natural sciences (92-XX) 15 Ordinary differential equations (34-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 10 Probability theory and stochastic processes (60-XX) 9 Mechanics of particles and systems (70-XX) 9 Statistical mechanics, structure of matter (82-XX) 7 Operations research, mathematical programming (90-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Mechanics of deformable solids (74-XX) 5 Algebraic geometry (14-XX) 5 Optics, electromagnetic theory (78-XX) 5 Information and communication theory, circuits (94-XX) 4 Combinatorics (05-XX) 4 Real functions (26-XX) 4 Operator theory (47-XX) 3 Approximations and expansions (41-XX) 3 Integral equations (45-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Statistics (62-XX) 3 Geophysics (86-XX) 2 Number theory (11-XX) 2 Functional analysis (46-XX) 2 Quantum theory (81-XX) 2 Relativity and gravitational theory (83-XX) 2 Astronomy and astrophysics (85-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX)