## CMES. Computer Modeling in Engineering & Sciences

 Short Title: CMES, Comput. Model. Eng. Sci. Publisher: Tech Science Press, Encino, CA ISSN: 1526-1492; 1526-1506/e Online: http://www.techscience.com/cmes/ Comments: No longer indexed
 Documents Indexed: 1,270 Publications (2000–2014)
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### Authors

 84 Atluri, Satya N. 72 Liu, Chein-Shan 28 Sladek, Vladimir 27 Sladek, Jan 26 Tran-Cong, Thanh 24 Mai-Duy, Nam 19 Han, Zhidong 14 Yu, Dehao 13 Ferri Aliabadi, Mohammad Hossien 11 Soares, Delfim jun. 11 Yeih, Weichung 11 Zhang, Chuanzeng 10 Shiah, Yui- Chuin 9 Dong, Leiting 9 Shen, Shengping 9 Wen, Pihua 8 Akbarov, Surkay D. 8 Cai, Yongchang 8 Chang, Chih-Wen 8 Chen, Wen 8 Sellountos, Euripides J. 8 Yoshimura, Shinobu 7 Ku, Cheng-Yu 7 Li, Guangyao 7 Šarler, Božidar 7 Selvadurai, A. Patrick S. 7 Tran, Canh-Dung 6 Amrahov, Sahin Emrah 6 Balabel, Ashraf 6 Bourantas, George C. 6 Chen, Cha’o-Kuang 6 Chen, Yiming 6 Duan, Junsheng 6 Kansa, Edward J. 6 Li, Jin 6 Solek, Peter 6 Tavares, João Manuel R. S. 6 Wang, Lifeng 6 Wang, Michael Yu 6 Xiang, Jiawei 5 Chandrasekhar, B. Obreakspace 5 El-Askary, Wageeh A. 5 Fatullayev, Afet Golayoglu 5 Kim, Seung Jo 5 Lin, Shueei Muh 5 Loukopoulos, Vassilios C. 5 Luo, Zhen 5 Mansur, Webe Joao 5 Mazzia, Annamaria 5 Mittal, Sanjay 5 Nicolás, Alfredo 5 Paik, Jeom Kee 5 Pini, Giorgio 5 Rabczuk, Timon 5 Sorić, Jurica 5 Tadeu, António J. B. 5 Tamma, Kumar K. 5 Tsai, Chia-Cheng 5 Wu, Chih-Ping 5 Yi, Mingxu 5 Zhang, Jianming 5 Zhang, Xiong 4 António, Julieta M. P. 4 Avila, Rubén 4 Batra, Romesh C. 4 Bermúdez, Blanca 4 Brischetto, Salvatore 4 Carrer, José Antonio Marques 4 Chao, Ching-Kong 4 Chen, Jeng-Tzong 4 Chen, Wenhwa 4 Dehghan Takht Fooladi, Mehdi 4 Emdadi, Arezoo 4 Fernandes Pereira, José Carlos 4 Gasilov, Nizami A. 4 Gravvanis, George A. 4 Hosseini, Seyed Mahmoud 4 Huang, Cheng-Hung 4 Jarak, Tomislav 4 Kakuda, Kazuhiko 4 Khoo, Boo Cheong 4 Lee, Sen Yung 4 Li, Xing 4 Libre, Nicolas Ali 4 Lim, Kian-Meng 4 Liu, Gui-Rong 4 Long, Shuyao 4 Ma, Yunpeng 4 Marin, Liviu 4 Miao, Yu 4 Nie, Yufeng 4 Nikishkov, Gennadiy P. 4 Okada, Hiroshi 4 Polyzos, Demonsthenes 4 Power, Henry 4 Rajendran, A. M. 4 Sartoretto, Flavio 4 Sellier, Antoine 4 Shekarchi, Mohammad 4 Souli, Mhamed ...and 1,690 more Authors
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### Fields

 647 Numerical analysis (65-XX) 626 Mechanics of deformable solids (74-XX) 251 Fluid mechanics (76-XX) 69 Partial differential equations (35-XX) 53 Classical thermodynamics, heat transfer (80-XX) 49 Biology and other natural sciences (92-XX) 44 Optics, electromagnetic theory (78-XX) 34 Integral equations (45-XX) 34 Statistical mechanics, structure of matter (82-XX) 31 Operations research, mathematical programming (90-XX) 26 Ordinary differential equations (34-XX) 14 Mechanics of particles and systems (70-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 11 Dynamical systems and ergodic theory (37-XX) 11 Geophysics (86-XX) 9 Computer science (68-XX) 7 Probability theory and stochastic processes (60-XX) 7 Systems theory; control (93-XX) 6 Information and communication theory, circuits (94-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Approximations and expansions (41-XX) 3 Real functions (26-XX) 3 Quantum theory (81-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Special functions (33-XX) 2 Integral transforms, operational calculus (44-XX) 2 Statistics (62-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Potential theory (31-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX)

### Citations contained in zbMATH Open

799 Publications have been cited 4,433 times in 2,875 Documents Cited by Year
The meshless local Petrov-Galerkin (MLPG) method: A simple and less-costly alternative to the finite element and boundary element methods. Zbl 0996.65116
Atluri, Satya N.; Shen, Shengping
2002
An advanced implicit meshless approach for the non-linear anomalous subdiffusion equation. Zbl 1231.65178
Gu, Y. T.; Zhuang, P.; Liu, F.
2010
A smoothed finite element method (SFEM) for linear and geometrically nonlinear analysis of plates and shells. Zbl 1232.74099
Cui, X. Y.; Liu, G. R.; Li, G. Y.; Zhao, X.; Nguyen, T. T.; Sun, G. Y.
2008
A meshless local Petrov-Galerkin method for solving the bending problem of a thin plate. Zbl 1147.74414
Long, Shuyao; Atluri, S. N.
2002
A meshless method using radial basis functions for the numerical solution of two-dimensional complex Ginzburg-Landau equation. Zbl 1357.65202
Shokri, Ali; Dehghan, Mehdi
2012
Meshless local Petrov-Galerkin method for heat conduction problem in an anisotropic medium. Zbl 1084.80002
2004
The method of fundamental solution for solving multidimensional inverse heat conduction problem. Zbl 1114.80004
Hon, C.; Wei, T.
2005
Material point calculations with explicit cracks. Zbl 1064.74176
Nairn, J. A.
2003
A modified Trefftz method for two-dimensional Laplace equation considering the domain’s characteristic length. Zbl 1232.65157
Liu, Chein-Shan
2007
A meshless local Petrov-Galerkin (MLPG) formulation for static and free vibration analysis of thin plates. Zbl 1102.74310
Gu, Y. T.; Liu, G. R.
2001
A node-based smoothed extended finite element method (NS-XFEM) for fracture analysis. Zbl 1231.74444
Vu-Bac, N.; Nguyen-Xuan, H.; Chen, L.; Bordas, S.; Kerfriden, P.; Simpson, R. N.; Liu, G. R.; Rabczuk, T.
2011
A modified method of fundamental solutions with source on the boundary for solving Laplace equations with circular and arbitrary domains. Zbl 1184.65116
Young, D. L.; Chen, K. H.; Chen, J. T.; Kao, J. H.
2007
An improved contact algorithm for the material point method and application to stress propagation in granular material. Zbl 1147.74375
Bardenhagen, S. G.; Guilkey, J. E.; Roessig, K. M.; Brackhill, J. U.; Witzel, W. M.; Foster, J. C.
2001
Potential problems by singular boundary method satisfying moment condition. Zbl 1231.65245
Chen, Wen; Fu, Zhuojia; Wei, Xing
2009
PDE-driven level sets, shape sensitivity and curvature flow for structural topology optimization. Zbl 1075.74065
Wang, Michael Yu; Wang, Xiaoming
2004
A new implementation of the meshless finite volume method, through the MLPG “mixed” approach. Zbl 1151.74424
Atluri, S. N.; Han, Z. D.; Rajendran, A. M.
2004
A radial basis function collocation approach in computational fluid dynamics. Zbl 1189.76380
Šarler, B.
2005
Solution of incompressible turbulent flow by a mesh-free method. Zbl 1357.76030
Vertnik, R.; Sarler, B.
2009
Meshless regular hybrid boundary node method. Zbl 0991.65129
Zhang, Jianming; Yao, Zhenhan
2001
Analysis of transient heat conduction in 3D anisotropic functionally graded solids, by the MLPG method. Zbl 1232.80006
2008
Analysis of materials with strain-gradient effects: a meshless local Petrov-Galerkin (MLPG) approach, with nodal displacements only. Zbl 1148.74346
Tang, Z.; Shen, S.; Atluri, S. N.
2003
Meshless local Petrov-Galerkin method in anisotropic elasticity. Zbl 1082.74059
2004
Phase field: a variational method for structural topology optimization. Zbl 1152.74382
Wang, Michael Yu; Zhou, Shiwei
2004
Higher-order stress-strain theory for damage modeling implemented in an element-free Galerkin formulation. Zbl 1231.74023
Yang, Yang; Misra, Anil
2010
Computational modelling of isotropic multiplicative growth. Zbl 1188.74059
Himpel, G.; Kuhl, E.; Menzel, A.; Steinmann, P.
2005
On solving linear and nonlinear sixth-order two point boundary value problems via an elegant harmonic numbers operational matrix of derivatives. Zbl 1356.65190
Abd-Elhameed, W. M.
2014
Two-phase flow in complex geometries: a diffuse domain approach. Zbl 1231.76200
Aland, S.; Lowengrub, J.; Voigt, A.
2010
The Lie-group shooting method for nonlinear two-point boundary value problems exhibiting multiple solutions. Zbl 1232.65108
Liu, Chein-Shan
2006
A pure contour formulation for the meshless local boundary integral equation method in thermoelasticity. Zbl 1060.74069
2001
Application of meshless local Petrov-Galerkin (MLPG) method fo elastodynamic problems in continuously nonhomogeneous solids. Zbl 1064.74178
2003
State-of-the-art, trends, and directions in computational electromagnetics. Zbl 1080.78013
Reitich, F.; Tamma, K. K.
2004
SPH in a total Lagrangian formalism. Zbl 1357.76072
Vignjevic, Rade; Reveles, Juan R.; Campbell, James
2006
Boundary layer effect in BEM with high order geometry elements using transformation. Zbl 1357.74072
Zhang, Y. M.; Gu, Y.; Chen, J. T.
2009
A stabilized RBF collocation scheme for Neumann type boundary value problems. Zbl 1232.65156
2008
Particular solutions of Chebyshev polynomials for polyharmonic and poly-Helmholtz equations. Zbl 1232.65173
Tsai, Chia-Cheng
2008
The Lie-group shooting method for singularly perturbed two-point boundary value problems. Zbl 1152.65452
Liu, Chein-Shan
2006
Novel algorithms based on the conjugate gradient method for inverting ill-conditioned matrices, and a new regularization method to solve ill-posed linear systems. Zbl 1231.65071
Liu, Chein-Shan; Hong, Hong-Ki; Atluri, Satya N.
2010
A highly accurate MCTM for inverse Cauchy problems of Laplace equation in arbitrary plane domains. Zbl 1153.65359
Liu, Chein-Shan
2008
A two-side equilibration method to reduce the condition number of an ill-posed linear system. Zbl 1356.65116
Liu, Chein-Shan
2013
Non-singular method of fundamental solutions for two-dimensional isotropic elasticity problems. Zbl 1356.74021
Liu, Q. G.; Šarler, B.
2013
Numerical solution of system of $$N$$-coupled nonlinear Schrödinger equations via two variants of the meshless local Petrov-Galerkin (MLPG) method. Zbl 1357.65187
Dehghan, M.; Abbaszadeh, M.; Mohebbi, A.
2014
A fast adaptive wavelet scheme in RBF collocation for nearly singular potential PDEs. Zbl 1357.65272
2008
Meshless BEM for three-dimensional Stokes flows. Zbl 1147.76595
Tsai, C. C.; Young, D. L.; Cheng, A. H.-D.
2002
Arbitrary placement of secondary nodes, and error control, in the meshless local Petrov-Galerkin (MLPG) method. Zbl 1147.65326
Kim, H.-G.; Atluri, S. N.
2000
Application of meshless local Petrov-Galerkin (MLPG) to problems with singularities, and material discontinuities, in 3-D elasticity. Zbl 1108.74387
Li, Q.; Shen, S.; Han, Z. D.; Atluri, S. N.
2003
Numerical investigation on direct MLPG for 2D and 3D potential problems. Zbl 1357.65262
Mazzia, Annamaria; Pini, Giorgio; Sartoretto, Flavio
2012
Richardson extrapolation method for singularly perturbed convection-diffusion problems on adaptively generated mesh. Zbl 1356.65185
Das, Pratibhamoy; Natesan, Srinivasan
2013
A comparative study of global and local meshless methods for diffusion-reaction equation. Zbl 1231.65184
Yao, Guangming; Siraj-Ul-Islam; Sarler, Bozidar
2010
A smoothed four-node piezoelectric element for analysis of two-dimensional smart structures. Zbl 1232.74108
Nguyen-Van, H.; Mai-Duy, N.; Tran-Cong, T.
2008
Past cone dynamics and backward group preserving schemes for backward heat conduction problems. Zbl 1232.65129
Liu, C.-S.; Chang, C.-W.; Chang, J.-R.
2006
Analysis of elastodynamic deformations near a crack/notch tip by the meshless local Petrov-Galerkin (MLPG) method. Zbl 1152.74343
Batra, R. C.; Ching, H.-K.
2002
Meshless local Petrov-Galerkin (MLPG) approaches for solving 3D problems in elastostatics. Zbl 1087.74654
Han, Z. D.; Atluri, S. N.
2004
The hybrid boundary node method accelerated by fast multipole expansion technique for 3D elasticity. Zbl 1231.74447
Wang, Qiao; Miao, Yu; Zheng, Junjie
2010
Simulation of high explosive explosion using adaptive material point method. Zbl 1257.76045
Ma, Shang; Zhang, Xiong; Lian, Yanping; Zhou, Xu
2009
Thermal stress analysis of multi-layer thin films and coatings by an advanced boundary element method. Zbl 1018.74038
Chen, Xiaolin; Liu, Yijun
2001
Elastostatic deformations of a thick plate by using a higher-order shear and normal deformable plate theory and two meshless local Petrov-Galerkin (MLPG) methods. Zbl 1148.74344
Qian, L. F.; Batra, R. C.; Chen, L. M.
2003
Efficient shooting methods for the second-order ordinary differential equations. Zbl 1152.65453
Liu, Chein-Shan
2006
Meshless local Petrov-Galerkin (MLPG) mixed collocation method for elasticity problems. Zbl 1357.74079
Atluri, S. N.; Liu, H. T.; Han, Z. D.
2006
Computation of incompressible Navier-Stokes equations by local RBF-based differential quadrature method. Zbl 1106.76427
Shu, Chang; Ding, H.; Yeo, K. S.
2005
A novel time integration method for solving a large system of non-linear algebraic equations. Zbl 1152.65428
Liu, Chein-Shan; Atluri, Satya N.
2008
A meshless method for solving the 2D Brusselator reaction-diffusion system. Zbl 1357.65152
Mohammadi, M.; Mokhtari, R.; Schaback, R.
2014
A developed new algorithm for evaluating Adomian polynomials. Zbl 1357.65067
Azreg-Aïnou, M.
2009
Fictitious time integration method of fundamental solutions with Chebyshev polynomials for solving Poisson-type nonlinear PDEs. Zbl 1231.65243
Tsai, Chia-Cheng; Liu, Chein-Shan; Yeih, Wei-Chung
2010
Parallel octree-based finite element method for large-scale earthquake ground motion simulation. Zbl 1232.86004
Bielak, J.; Ghattas, O.; Kim, E.-J.
2005
An efficient backward group preserving scheme for the backward in time Burgers equation. Zbl 1232.65130
Liu, Chein-Shan
2006
Meshless local Petrov-Galerkin (MLPG) method for shear deformable shells analysis. Zbl 1232.74073
2006
On the use of a wave based prediction technique for steady-state structural-acoustic radiation analysis. Zbl 1189.76344
Pluymers, B.; Desmet, W.; Vandepitte, D.; Sas, P.
2005
Indirect RBFN method with thin plate splines for numerical solution of differential equations. Zbl 1148.76351
Mai-Duy, N.; Tran-Cong, T.
2003
Meshless local Petrov-Galerkin (MLPG) approaches for solving the weakly-singular traction & displacement boundary integral equations. Zbl 1108.74385
Atluri, S. N.; Han, Z. D.; Shen, S.
2003
A MLPG (LBIE) method for solving frequency domain elastic problems. Zbl 1064.74170
Sellountos, E. J.; Polyzos, D.
2003
Simulation of natural convection influenced by magnetic field with explicit local radial basis function collocation method. Zbl 1356.76441
Mramor, K.; Vertnik, R.; Šarler, B.
2013
Non-singular method of fundamental solutions based on Laplace decomposition for 2D Stokes flow problems. Zbl 1356.76258
Sincich, E.; Sarler, B.
2014
Singular boundary method: three regularization approaches and exteriorwave applications. Zbl 1357.65279
Fu, Zhuo-Jia; Chen, Wen; Chen, Jeng-Tzong; Qu, Wen-Zhen
2014
Application of the generalized finite difference method to improve the approximated solution of PDEs. Zbl 1357.74075
Benito, J. J.; Urena, F.; Gavete, L.; Alonso, B.
2008
A new fast multipole boundary element method for large scale analysis of mechanical properties in 3D particle-reinforced composites. Zbl 1178.74176
Wang, Haitao; Yao, Zhenhan
2005
On the equivalence between least-squares and kernel approximations in meshless methods. Zbl 0996.65118
Jin, Xiaozhong; Li, Gang; Aluru, N. R.
2001
A 2-D time-domain BIEM for dynamic analysis of cracked orthotropic solids. Zbl 1040.74053
Zhang, Ch.
2002
Reflection in a level set framework for geometric optics. Zbl 1069.78002
Cheng, Li-Tien; Kang, Myungjoo; Osher, Stanley; Shim, Hyeseon; Tsai, Yen-Hsi
2004
Meshless local Petrov-Galerkin (MLPG) formulation for analysis of thick plates. Zbl 1075.74083
Sorić, J.; Li, Q.; Jarak, T.; Atluri, S. N.
2004
Dual hybrid boundary node method for solving transient dynamic fracture problems. Zbl 1356.74186
Miao, Y.; He, T. G.; Luo, H.; Zhu, H. P.
2012
Meshless local Petrov-Galerkin (MLPG) mixed finite difference method for solid mechanics. Zbl 1357.74074
Atluri, S. N.; Liu, H. T.; Han, Z. D.
2006
High-order unstructured one-step $$P_{N}P_{M}$$ schemes for the viscous and resistive MHD equations. Zbl 1231.76345
Dumbser, M.; Balsara, D. S.
2009
An efficient Trefftz-based method for three-dimensional Helmholtz problems in unbounded domains. Zbl 1231.76259
Bergen, Bart; Van Genechten, Bert; Vandepitte, Dirk; Desmet, Wim
2010
Comparison of the fast multipole method with hierarchical matrices for the Helmholtz-BEM. Zbl 1231.74454
Brunner, Dominik; Junge, Michael; Rapp, Philipp Ferdinand; Bebendorf, Mario; Gaul, Lothar
2010
A highly accurate technique for interpolations using very high-order polynomials, and its applications to some ill-posed linear problems. Zbl 1232.65021
Liu, Chein-Shan; Atluri, Satya N.
2009
Method of fundamental solutions for scattering problems of electromagnetic waves. Zbl 1106.78008
Ruan, D. L.; Ruan, J. W.
2005
High-order accurate methods for time-domain electromagnetics. Zbl 1059.78041
Hesthaven, J. S.; Warburton, T.
2004
A meshless method for the Laplace and biharmonic equations subjected to noisy boundary data. Zbl 1081.65548
Jin, B.
2004
Computational methods in engineering: a variety of primal & mixed methods, with global & local interpolations, for well-posed or ill-posed BCs. Zbl 1356.65194
Dong, L.; Alotaibi, A.; Mohiuddine, S. A.; Atluri, S. N.
2014
On solving the ill-conditioned system $$Ax=b$$: general-purpose conditioners obtained from the boundary-collocation solution of the Laplace equation, using Trefftz expansions with multiple length scales. Zbl 1357.65246
Liu, Chein-Shan; Yeih, Weichung; Atluri, Satya N.
2009
A dual hybrid boundary node method for 2D elastodynamics problems. Zbl 1231.74460
Miao, Yu; Wang, Qiao; Liao, Bihai; Zheng, Junjie
2009
Meshfree point collocation schemes for 2D steady state incompressible Navier-Stokes equations in velocity-vorticity formulation for high values of Reynolds number. Zbl 1231.76069
Bourantas, G. C.; Skouras, E. D.; Loukopoulos, V. C.; Nikiforidis, G. C.
2010
Stable PDE solution methods for large multiquadric shape parameters. Zbl 1232.65154
2008
Meshless local Petrov-Galerkin (MLPG) approaches for solving nonlinear problems with large deformations and rotations. Zbl 1232.74117
Han, Z. D.; Rajendran, A. M.; Atluri, S. N.
2005
Symmetric variational formulation of BIE for domain decomposition problems in elasticity – an SGBEM approach for nonconforming discretizations of curved interfaces. Zbl 1184.65111
Vodička, R.; Mantič, V.; París, F.
2007
Fracture analyses in continuously nonhomogeneous piezoelectric solids by the MLPG. Zbl 1184.74054
2007
Free and forced vibrations of thick rectangular plates using higher-order shear and normal deformable plate theory and meshless Petrov-Galerkin (MLPG) method. Zbl 1108.74388
Qian, L. F.; Batra, R. C.; Chen, L. M.
2003
Some aspects of the method of fundamental solutions for certain biharmonic problems. Zbl 1051.65110
Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas
2003
A two-dimensional finite element implementation of a special form of gradient elasticity. Zbl 1143.74376
Tenek, L. Teneketzis; Aifantis, E. C.
2002
Meshless local Petrov-Galerkin collocation method for two-dimensional heat conduction problems. Zbl 1152.80329
Wu, XueHong; Shen, ShengPing; Tao, WenQuan
2007
On solving linear and nonlinear sixth-order two point boundary value problems via an elegant harmonic numbers operational matrix of derivatives. Zbl 1356.65190
Abd-Elhameed, W. M.
2014
Numerical solution of system of $$N$$-coupled nonlinear Schrödinger equations via two variants of the meshless local Petrov-Galerkin (MLPG) method. Zbl 1357.65187
Dehghan, M.; Abbaszadeh, M.; Mohebbi, A.
2014
A meshless method for solving the 2D Brusselator reaction-diffusion system. Zbl 1357.65152
Mohammadi, M.; Mokhtari, R.; Schaback, R.
2014
Non-singular method of fundamental solutions based on Laplace decomposition for 2D Stokes flow problems. Zbl 1356.76258
Sincich, E.; Sarler, B.
2014
Singular boundary method: three regularization approaches and exteriorwave applications. Zbl 1357.65279
Fu, Zhuo-Jia; Chen, Wen; Chen, Jeng-Tzong; Qu, Wen-Zhen
2014
Computational methods in engineering: a variety of primal & mixed methods, with global & local interpolations, for well-posed or ill-posed BCs. Zbl 1356.65194
Dong, L.; Alotaibi, A.; Mohiuddine, S. A.; Atluri, S. N.
2014
Comparison of four multiscale methods for elliptic problems. Zbl 1357.65270
Wu, Y. T.; Nie, Y. F.; Yang, Z. H.
2014
Symmetric coupling of the meshless Galerkin boundary node and finite element methods for elasticity. Zbl 1356.74020
Li, Xiaolin
2014
Improved MPS-FE fluid-structure interaction coupled method with MPS polygonwall boundary model. Zbl 1356.76062
Mitsume, N.; Yoshimura, S.; Murotani, K.; Yamada, T.
2014
Dynamic anti-plane crack analysis in functional graded piezoelectric semiconductor crystals. Zbl 1356.74188
2014
Numerical solution for a class of linear system of fractional differential equations by the Haar wavelet method and the convergence analysis. Zbl 1356.65191
Chen, Yiming; Han, Xiaoning; Liu, Lechun
2014
Meshless local Petrov-Galerkin mixed collocation method for solving Cauchy inverse problems of steady-state heat transfer. Zbl 1356.80056
Zhang, Tao; He, Yiqian; Dong, Leiting; Li, Shu; Alotaibi, Abdullah; Atluri, Satya N.
2014
Variable viscosity and density biofilm simulations using an immersed boundary method. I: Numerical scheme and convergence results. Zbl 1356.76052
Hammond, Jason F.; Stewart, Elizabeth J.; Younger, John G.; Solomon, Michael J.; Bortz, David M.
2014
Numerical solution for the variable order time fractional diffusion equation with Bernstein polynomials. Zbl 1357.65185
Chen, Yiming; Liu, Liqing; Li, Xuan; Sun, Yannan
2014
Solving the Cauchy problem of the nonlinear steady-state heat equation using double iteration process. Zbl 1357.65241
Yeih, Weichung; Chan, I-Yao; Fan, Chia-Ming; Chang, Jiang-Jhy; Liu, Chein-Shan
2014
Pang, Guofei; Chen, Wen; Sze, K. Y.
2014
On solving three-dimensional Laplacian problems in a multiply connected domain using the multiple scale Trefftz method. Zbl 1357.65193
Ku, Cheng-Yu
2014
A new approach to a fuzzy time-optimal control problem. Zbl 1356.93045
Amrahov, S. Emrah; Gasilov, N. A.; Fatullayev, A. G.
2014
Solving the Lane-Emden-Fowler type equations of higher orders by the Adomian decomposition method. Zbl 1356.65214
Wazwaz, Abdul-Majid; Rach, Randolph; Bougoffa, Lazhar; Duan, Jun-Sheng
2014
Time-domain BEM analysis for three-dimensional elastodynamic problems with initial conditions. Zbl 1356.74233
Li, Yuan; Zhang, Jianming; Xie, Guizhong; Zheng, Xingshuai; Guo, Shuaiping
2014
Generalized finite difference method for numerical solutions of density-driven groundwater flows. Zbl 1356.76204
Li, Po-Wei; Fan, Chia-Ming; Chen, Chun-Yu; Ku, Cheng-Yu
2014
Direct volume-to-surface integral transformation for 2D BEM analysis of anisotropic thermoelasticity. Zbl 1356.74238
Shiah, Y. C.; Hsu, Chung-Lei; Hwu, Chyanbin
2014
A high-order finite-difference scheme with a linearization technique for solving of three-dimensional Burgers equation. Zbl 1357.65113
Campos, M. D.; Romão, E. C.
2014
On the (meshless local Petrov-Galerkin) MLPG-Eshelby method in computational finite deformation solid mechanics. II. Zbl 1357.74061
Han, Z. D.; Atluri, S. N.
2014
Research on band structure of one-dimensional phononic crystals based onwavelet finite element method. Zbl 1356.74100
Liu, Mao; Xiang, Jiawei; Gao, Haifeng; Jiang, Yongying; Zhou, Yuqing; Li, Fengping
2014
A computational modeling framework for heat transfer processes in laser-induced dermal tissue removal. Zbl 1356.74140
Zohdi, T. I.
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
Pore-scale modeling of Navier-Stokes flow in distensible networks and porous media. Zbl 1356.76363
Sochi, Taha
2014
Simulation of stress concentration problems by hexahedral hybrid-Trefftz finite element models. Zbl 1356.74077
Bussamra, F. L. S.; Neto, E. Lucena; Ponciano, W. M.
2014
An LGDAE method to solve nonlinear Cauchy problem without initial temperature. Zbl 1357.65159
Liu, Chein-Shan
2014
Time domain inverse problems in nonlinear systems using collocation & radial basis functions. Zbl 1356.65180
Elgohary, T. A.; Dong, L.; Junkins, J. L.; Atluri, S. N.
2014
Homotopy method for parameter determination of solute transport with fractional advection-dispersion equation. Zbl 1356.76367
Wei, Hui; Chen, Wen; Sun, Hongguang
2014
Boundary element analysis of shear deformable shallow shells under harmonic excitation. Zbl 1356.74130
Useche, J.
2014
A simple, fast, and accurate time-integrator for strongly nonlinear dynamical systems. Zbl 1356.65242
Elgohary, T. A.; Dong, L.; Junkins, J. L.; Atluri, S. N.
2014
Legendre polynomials method for solving a class of variable order fractional differential equation. Zbl 1356.65203
Wang, Lifeng; Ma, Yunpeng; Yang, Yongqiang
2014
A projection method for the monolithic interaction system of an incompressible fluid and a structure using a new algebraic splitting. Zbl 1356.74203
Ishihara, D.; Horie, T.
2014
Collocation methods to solve certain Hilbert integral equation with middle rectangle rule. Zbl 1356.65260
Li, Jin; Yu, De-Hao
2014
The boundary integral equation for 3D general anisotropic thermoelasticity. Zbl 1356.74050
Shiah, Y. C.; Tan, C. L.
2014
An approach with Haar wavelet collocation method for numerical simulations of modified KdV and modified Burgers equations. Zbl 1357.65201
Ray, S. Saha; Gupta, A. K.
2014
Large deformation dynamic three-dimensional coupled finite element analysis of soft biological tissues treated as biphasic porous media. Zbl 1356.74212
Regueiro, R. A.; Zhang, B.; Wozniak, S. L.
2014
Particle-based moving interface method for the study of the interaction between soft colloid particles and immersed fibrous network. Zbl 1356.76162
Foucard, Louis C.; Pellegrino, John; Vernerey, Franck J.
2014
Design evaluation of a particle bombardment system used to deliver substances into cells. Zbl 1356.92008
Campello, Eduardo M. B.; Zohdi, Tarek I.
2014
Speedup of elastic-plastic analysis of large-scale model with crack using partitioned coupling method with subcycling technique. Zbl 1356.74035
Yusa, Yasunori; Yoshimura, Shinobu
2014
A novel semi-analytic meshless method for solving twoand three-dimensional elliptic equations of general form with variable coefficients in irregular domains. Zbl 1357.65276
Reutskiy, S. Yu.
2014
Boundary layer effect in regularized meshless method for Laplace equation. Zbl 1357.65300
Li, Weiwei; Chen, Wen
2014
A regularized method of fundamental solutions for 3D and axisymmetric potential problems. Zbl 1357.65299
Gáspár, Csaba
2014
An adaptive discretization of incompressible flow using node-based local meshes. Zbl 1356.76079
Zhang, Weiwei; Nie, Yufeng; Cai, Li; Qi, Nan
2014
Fatigue crack growth reliability analysis by stochastic boundary element method. Zbl 1356.74184
Huang, Xiyong; Aliabadi, M. H.; Khodaei, Z. Sharif
2014
An improved isogeometric boundary element method approach in two dimensional elastostatics. Zbl 1356.74236
Mallardo, Vincenzo; Ruocco, Eugenio
2014
Free-space fundamental solution of a 2D steady slow viscous MHD flow. Zbl 1356.76449
Sellier, A.; Aydin, S. H.; Tezer-Sezgin, M.
2014
Nonlinear dynamics of Duffing oscillator with time delayed term. Zbl 1356.34044
Liao, Haitao
2014
Frequency domain based solution for certain class of wave equations: an exhaustive study of numerical solutions. Zbl 1356.74247
Chellappan, Vinita; Gopalakrishnan, S.; Mani, V.
2014
A state space differential reproducing kernel method for the buckling analysis of carbon nanotube-reinforced composite circular hollow cylinders. Zbl 1356.74257
Wu, Chih-Ping; Jiang, Ruei-Yong
2014
Forced vibrations of a system consisting of a pre-strained highly elastic plate under compressible viscous fluid loading. Zbl 1356.74083
Akbarov, S. D.; Ismailov, M. I.
2014
Cauchy problem for the heat equation in a bounded domain without initial value. Zbl 1357.65154
Liu, Ji-Chuan; Wang, Jun-Gang
2014
Simulations of blood drop spreading and impact for bloodstain pattern analysis. Zbl 1356.76474
Wang, Chu; Zhang, Lucy T.
2014
A meshfree method for mechanics and conformational change of proteins and their assemblies. Zbl 1358.92012
Aggarwal, Ankush; Chen, Jiun-Shyan; Klug, William S.
2014
Interval uncertain optimization of vehicle suspension for ride comfort. Zbl 1356.70025
Jiang, C.; Yu, S.; Xie, H. C.; Li, B. C.
2014
Complete solid buckling analysiswith boundary face method. Zbl 1356.74253
Li, Guangyao; Guo, Shuaiping; Zhang, Jianming; Fei, Baiping; Li, Yuan
2014
Numerical solution of fractional Fredholm-Volterra integro-differential equations by means of generalized hat functions method. Zbl 1356.65259
Li, Baofeng
2014
A double iteration process for solving the nonlinear algebraic equations, especially for ill-posed nonlinear algebraic equations. Zbl 1356.65141
Yeih, Weichung; Chan, I-Yao; Ku, Cheng-Yu; Fan, Chia-Ming; Guan, Pai-Chen
2014
Ambarzumyan type theorem for a matrix valued quadratic Sturm-Liouville problem. Zbl 1356.34029
Yilmaz, Emrah; Koyunbakan, Hikmet
2014
Wave propagation in piezoelectric rods with rectangular cross sections. Zbl 1356.74099
Zhang, Xiaoming; Xu, Xingxin; Wang, Yuqing
2014
A systematic review of algorithms with linear-time behaviour to generate Delaunay and Voronoi tessellations. Zbl 1356.65046
Gonzaga de Oliveira, Sanderson L.; Nogueira, Jessica Renata; Tavares, Joao Manuel R. S.
2014
Algebraic multigrid methods based on generic approximate banded inverse matrix techniques. Zbl 1356.65101
Gravvanis, George A.; Filelis-Papadopoulos, Christos K.; Matskanidis, Paschalis I.
2014
An artificial boundary method for Burgers equation in the unbounded domain. Zbl 1357.65140
Zheng, Quan; Fan, Lei; Li, Xuezheng
2014
A fully discrete SCNFVE formulation for the non-stationary Navier-Stokes equations. Zbl 1356.76190
Luo, Zhendong; Teng, Fei
2014
Dynamic response of borehole in poroelastic medium with disturbed zone. Zbl 1356.74135
Kaewjuea, W.; Senjuntichai, T.; Rajapakse, R. K. N. D.
2014
On the numerical solution of the Laplace equation with complete and incomplete Cauchy data using integral equations. Zbl 1357.65237
Babenko, Christina; Chapko, Roman; Johansson, B. Tomas
2014
A level-set algorithm for simulating wildfire spread. Zbl 1356.68257
Ghisu, T.; Arca, B.; Pellizzaro, G.; Duce, P.
2014
Analysis of 3D anisotropic solids using fundamental solutions based on Fourier series and the adaptive cross approximation method. Zbl 1356.74024
Rodríguez, R. Q.; Tan, C. L.; Sollero, P.; Albuquerque, E. L.
2014
MLPG refinement techniques for 2D and 3D diffusion problems. Zbl 1357.65263
Mazzia, Annamaria; Pini, Giorgio; Sartoretto, Flavio
2014
Hybrid elements for modelling squeeze film effects coupled with structural interactions in vibratory MEMS devices. Zbl 1356.74213
Roychowdhury, A.; Nandy, A.; Jog, C. S.; Pratap, R.
2014
Geometrically nonlinear inelastic analysis of Timoshenko beams on inelastic foundation. Zbl 1356.74105
Kampitsis, A. E.; Sapountzakis, E. J.
2014
A two-side equilibration method to reduce the condition number of an ill-posed linear system. Zbl 1356.65116
Liu, Chein-Shan
2013
Non-singular method of fundamental solutions for two-dimensional isotropic elasticity problems. Zbl 1356.74021
Liu, Q. G.; Šarler, B.
2013
Richardson extrapolation method for singularly perturbed convection-diffusion problems on adaptively generated mesh. Zbl 1356.65185
Das, Pratibhamoy; Natesan, Srinivasan
2013
Simulation of natural convection influenced by magnetic field with explicit local radial basis function collocation method. Zbl 1356.76441
Mramor, K.; Vertnik, R.; Šarler, B.
2013
The sinh transformation for curved elements using the general distance function. Zbl 1357.65286
Lv, J. H.; Miao, Y.; Gong, W. H.; Zhu, H. P.
2013
Application of a hybrid mesh-free method based on generalized finite difference (GFD) method for natural frequency analysis of functionally graded nanocomposite cylinders reinforced by carbon nanotubes. Zbl 1356.74010
Hosseini, Seyed Mahmoud
2013
Analysis of band structure for 2D acoustic phononic structure by BEM and the block SS method. Zbl 1357.65280
Gao, H. F.; Matsumoto, T.; Takahashi, T.; Isakari, H.
2013
Using the method of fundamental solutions for obtaining exponentially convergent Helmholtz eigensolutions. Zbl 1357.65250
Tsai, Chia-Cheng; Young, D. L.
2013
Modeling imperfect interfaces in the material point method using multimaterial methods. Zbl 1356.74014
Nairn, J. A.
2013
Error expansion of classical trapezoidal rule for computing Cauchy principal value integral. Zbl 1356.65082
Li, Jin; Yu, De-Hao
2013
A meshless simulations for 2D nonlinear reaction-diffusion Brusselator system. Zbl 1357.65178
2013
Operational matrix method for solving variable order fractional integro-differential equations. Zbl 1356.65205
Yi, Mingxu; Huang, Jun; Wang, Lifeng
2013
On the solution of Burgers-Huxley and Huxley equation using wavelet collocation method. Zbl 1357.65200
Ray, S. Saha; Gupta, A. K.
2013
Numerical solution of nonlinear fractional integral differential equations by using the second kind Chebyshev wavelets. Zbl 1356.65192
Chen, Yiming; Sun, Lu; Li, Xuan; Fu, Xiaohong
2013
A particle simulation of 2-D vessel motions interacting with liquid-sloshing cargo. Zbl 1356.76043
Lee, Byung-Hyuk; Jeong, Se-Min; Hwang, Sung-Chul; Park, Jong-Chun; Kim, Moo-Hyun
2013
Numerical study on seepage property of karst collapse columns under particle migration. Zbl 1356.76370
Yao, Banghua; Wei, Jianping; Wang, Dengke; Ma, Dan; Chen, Zhanqing
2013
Wavelet solution of a class of two-dimensional nonlinear boundary value problems. Zbl 1357.65273
Liu, Xiaojing; Wang, Jizeng; Zhou, Youhe
2013
A coupled BEM-MLPG technique for the thermal analysis of non-homogeneous media. Zbl 1356.74242
2013
Exact elasticity solution for natural frequencies of functionally graded simply-supported structures. Zbl 1356.74085
Brischetto, S.
2013
Two-dimensional elastic wave propagation analysis in finite length FG thick hollow cylinders with 2D nonlinear grading patterns using MLPG method. Zbl 1356.74098
2013
Inverse nodal problem for the differential operator with a singularity at zero. Zbl 1356.65182
Yilmaz, Emrah; Koyunbakan, Hikmet; Ic, Unal
2013
GDQFEM numerical simulations of continuous media with cracks and discontinuities. Zbl 1356.74221
Viola, E.; Tornabene, F.; Ferretti, E.; Fantuzzi, N.
2013
On static analysis of composite plane state structures via GDQFEM and cell method. Zbl 1356.74222
Viola, E.; Tornabene, F.; Ferretti, E.; Fantuzzi, N.
2013
Fast boundary knot method for solving axisymmetric Helmholtz problems with high wave number. Zbl 1357.65284
Lin, J.; Chen, Wen; Chen, C. S.; Jiang, X. R.
2013
Fuzzy analysis of structures with imprecisely defined properties. Zbl 1356.74103
Behera, Diptiranjan; Chakraverty, Snehashish
2013
A novel method for solving ill-conditioned systems of linear equations with extreme physical property contrasts. Zbl 1356.65110
Ku, Cheng-Yu
2013
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### Cited by 4,130 Authors

 82 Liu, Chein-Shan 62 Dehghan Takht Fooladi, Mehdi 53 Sladek, Jan 53 Sladek, Vladimir 38 Zhang, Chuanzeng 36 Chen, Wen 36 Liu, Gui-Rong 32 Šarler, Božidar 27 Fu, Zhuojia 27 Wen, Pihua 25 Abbaszadeh, Mostafa 25 Soares, Delfim jun. 23 Li, Xiaolin 21 Fan, Chia-Ming 21 Li, Guangyao 21 Nguyen-Xuan, Hung 20 Siraj-ul-Islam 19 Abbasbandy, Saeid 19 Chen, Ching-Shyang 19 Desmet, Wim 19 Nguyen-Thoi, Trung 19 Rabczuk, Timon 19 Tadeu, António J. B. 18 Cui, Junzhi 18 Karageorghis, Andreas 18 Zhang, Jianming 16 Abd-Elhameed, Waleed Mohamed 16 Ferri Aliabadi, Mohammad Hossien 16 Duan, Junsheng 16 Gu, Yan 16 Nicholls, David P. 16 Nie, Yufeng 16 Shivanian, Elyas 15 Bourantas, George C. 15 Vandepitte, Dirk 14 Chang, Chih-Wen 14 Lin, Ji 14 Tran-Cong, Thanh 14 Tsai, Chia-Cheng 14 Wang, Qiao 14 Yan, Fei 13 Atluri, Satya N. 13 Cui, Xiangyang 13 Dong, Hao 13 Hon, Yiu-Chung 13 Hosseini, Seyed Mahmoud 13 Ling, Leevan 13 Mai-Duy, Nam 13 Wang, Fajie 13 Wang, Michael Yu 13 Zhang, Xiong 12 Bordas, Stéphane Pierre Alain 12 Godinho, Luís M. C. 12 Liu, Wing Kam 12 Yang, Zhiqiang 12 Yang, Zihao 12 Zhuang, Xiaoying 11 Chang, Jiang-ren 11 Chen, Jeng-Tzong 11 Deckers, Elke 11 Feng, Xiating 11 Gavete, Luis 11 Hematiyan, Mohammad Rahim 11 Loukopoulos, Vassilios C. 11 Lv, Jiahe 11 Mirzaei, Davoud 11 Mohebbi, Akbar 11 Zhou, Wei 10 Aimi, Alessandra 10 Batra, Romesh C. 10 Benito, Juan José 10 Chang, Xiaolin 10 Kuhl, Ellen 10 Liew, Kim Meow 10 Liu, Fawang 10 Mantič, Vladislav 10 Ochiai, Yoshihiro 10 Qu, Wenzhen 10 Rach, Randolph C. 10 Saez, Andres 10 Shirzadi, Ahmad 10 Ureña, Francisco 9 Belinha, Jorge 9 Diligenti, Mauro 9 García-Sánchez, Felipe 9 Guilkey, James E. 9 Guz, Igor A. 9 Han, Xu 9 Li, Junpu 9 Majchrzak, Ewa 9 Natesan, Srinivasan 9 Niu, Zhongrong 9 Power, Henry 9 Schanz, Martin 9 Sun, Linlin 9 Van Genechten, Bert 9 Youssri, Youssri H. 9 Zhang, Yaoming 8 Chen, Xuefeng 8 Chen, Yiming ...and 4,030 more Authors
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### Cited in 213 Journals

 648 Engineering Analysis with Boundary Elements 229 Computer Methods in Applied Mechanics and Engineering 140 Journal of Computational Physics 136 Computational Mechanics 117 International Journal for Numerical Methods in Engineering 102 Applied Mathematical Modelling 100 Applied Mathematics and Computation 83 Computers & Mathematics with Applications 74 Journal of Computational and Applied Mathematics 57 Acta Mechanica 49 Computers and Fluids 46 Mathematical Problems in Engineering 45 European Journal of Mechanics. A. Solids 45 International Journal of Computational Methods 37 International Journal of Solids and Structures 34 Mathematics and Computers in Simulation 28 Journal of the Mechanics and Physics of Solids 27 Applied Numerical Mathematics 26 Journal of Scientific Computing 25 Numerical Algorithms 23 Advances in Applied Mathematics and Mechanics 22 International Journal of Heat and Mass Transfer 22 Meccanica 21 International Journal of Engineering Science 20 Computational and Applied Mathematics 18 Archives of Computational Methods in Engineering 17 European Journal of Mechanics. B. Fluids 16 Inverse Problems in Science and Engineering 15 Numerical Methods for Partial Differential Equations 15 Applied Mathematics Letters 15 Nonlinear Dynamics 15 Advances in Difference Equations 15 International Journal of Fracture 14 Wave Motion 14 International Journal of Computer Mathematics 13 Journal of Engineering Mathematics 13 Structural and Multidisciplinary Optimization 13 Acta Mechanica Sinica 12 Archive of Applied Mechanics 11 International Journal for Numerical Methods in Fluids 11 SIAM Journal on Scientific Computing 11 Communications in Numerical Methods in Engineering 11 Mathematics and Mechanics of Solids 10 Chaos, Solitons and Fractals 10 Communications in Nonlinear Science and Numerical Simulation 10 Journal of Applied Mathematics 10 Communications in Computational Physics 10 AMM. Applied Mathematics and Mechanics. (English Edition) 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 International Journal of Numerical Methods for Heat & Fluid Flow 9 Advances in Computational Mathematics 9 Computational Geosciences 9 International Journal for Numerical Methods in Biomedical Engineering 8 International Journal of Applied and Computational Mathematics 7 Mathematical Methods in the Applied Sciences 7 Abstract and Applied Analysis 7 Engineering Computations 7 Journal of Applied Mathematics and Computing 7 Advances in Mathematical Physics 7 Journal of Applied Mathematics and Computational Mechanics 6 Numerische Mathematik 6 Continuum Mechanics and Thermodynamics 6 International Applied Mechanics 6 Journal of Theoretical Biology 6 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 5 Applied Mathematics and Mechanics. (English Edition) 5 COMPEL 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 AIMS Mathematics 4 International Journal of Plasticity 4 Journal of Optimization Theory and Applications 4 Mechanics Research Communications 4 Finite Elements in Analysis and Design 4 Journal of Elasticity 4 International Journal of Nonlinear Sciences and Numerical Simulation 4 Nonlinear Analysis. Real World Applications 4 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 4 Boundary Value Problems 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Journal of Mathematical Modeling 3 Computer Physics Communications 3 Journal of Fluid Mechanics 3 Journal of Mathematical Biology 3 Mathematical Biosciences 3 Calcolo 3 Computing 3 Journal of Differential Equations 3 Parallel Computing 3 Acta Mathematicae Applicatae Sinica. English Series 3 Mathematical and Computer Modelling 3 European Journal of Applied Mathematics 3 Japan Journal of Industrial and Applied Mathematics 3 Advances in Engineering Software 3 Fractals 3 Differential Equations and Dynamical Systems 3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Discrete Dynamics in Nature and Society 3 Mediterranean Journal of Mathematics 3 Arabian Journal for Science and Engineering 3 ISRN Applied Mathematics ...and 113 more Journals
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### Cited in 46 Fields

 1,659 Numerical analysis (65-XX) 1,360 Mechanics of deformable solids (74-XX) 545 Fluid mechanics (76-XX) 504 Partial differential equations (35-XX) 169 Classical thermodynamics, heat transfer (80-XX) 118 Ordinary differential equations (34-XX) 107 Biology and other natural sciences (92-XX) 86 Optics, electromagnetic theory (78-XX) 49 Statistical mechanics, structure of matter (82-XX) 44 Integral equations (45-XX) 42 Real functions (26-XX) 41 Approximations and expansions (41-XX) 38 Geophysics (86-XX) 35 Calculus of variations and optimal control; optimization (49-XX) 31 Operations research, mathematical programming (90-XX) 24 Mechanics of particles and systems (70-XX) 22 Computer science (68-XX) 22 Systems theory; control (93-XX) 18 Quantum theory (81-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 14 Special functions (33-XX) 14 Dynamical systems and ergodic theory (37-XX) 14 Probability theory and stochastic processes (60-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 9 Integral transforms, operational calculus (44-XX) 9 Statistics (62-XX) 9 Information and communication theory, circuits (94-XX) 8 Potential theory (31-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Operator theory (47-XX) 5 Difference and functional equations (39-XX) 5 Functional analysis (46-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Number theory (11-XX) 3 Relativity and gravitational theory (83-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Combinatorics (05-XX) 2 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 2 Differential geometry (53-XX) 1 Field theory and polynomials (12-XX) 1 Topological groups, Lie groups (22-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX)