# zbMATH — the first resource for mathematics

## 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 12 Soares, Delfim jun. 11 Yeih, Weichung 10 Shiah, Yui- Chuin 9 Dong, Leiting 9 Shen, Shengping 9 Wen, Pihua H. 9 Zhang, Chuanzeng 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 Ochiai, Yoshihiro 4 Okada, Hiroshi 4 Polyzos, Demonsthenes 4 Power, Henry 4 Rajendran, A. M. 4 Sartoretto, Flavio 4 Sellier, Antoine 4 Shekarchi, Mohammad ...and 1,691 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

783 Publications have been cited 4,087 times in 2,597 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 method using radial basis functions for the numerical solution of two-dimensional complex Ginzburg-Landau equation. Zbl 1357.65202
Shokri, Ali; Dehghan, Mehdi
2012
A meshless local Petrov-Galerkin method for solving the bending problem of a thin plate. Zbl 1147.74414
Long, Shuyao; Atluri, S. N.
2002
The method of fundamental solution for solving multidimensional inverse heat conduction problem. Zbl 1114.80004
Hon, C.; Wei, T.
2005
Meshless local Petrov-Galerkin method for heat conduction problem in an anisotropic medium. Zbl 1084.80002
Sladek, J.; Sladek, V.; Atluri, S. N.
2004
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 modified Trefftz method for two-dimensional Laplace equation considering the domain’s characteristic length. Zbl 1232.65157
Liu, Chein-Shan
2007
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
Material point calculations with explicit cracks. Zbl 1064.74176
Nairn, J. A.
2003
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
Meshless regular hybrid boundary node method. Zbl 0991.65129
Zhang, Jianming; Yao, Zhenhan
2001
A radial basis function collocation approach in computational fluid dynamics. Zbl 1189.76380
Šarler, B.
2005
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
Solution of incompressible turbulent flow by a mesh-free method. Zbl 1357.76030
Vertnik, R.; Sarler, B.
2009
Meshless local Petrov-Galerkin method in anisotropic elasticity. Zbl 1082.74059
Sladek, J.; Sladek, V.; Atluri, S. N.
2004
Potential problems by singular boundary method satisfying moment condition. Zbl 1231.65245
Chen, Wen; Fu, Zhuojia; Wei, Xing
2009
Higher-order stress-strain theory for damage modeling implemented in an element-free Galerkin formulation. Zbl 1231.74023
Yang, Yang; Misra, Anil
2010
Analysis of transient heat conduction in 3D anisotropic functionally graded solids, by the MLPG method. Zbl 1232.80006
Sladek, J.; Sladek, V.; Tan, C. L.; Atluri, S. N.
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
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 pure contour formulation for the meshless local boundary integral equation method in thermoelasticity. Zbl 1060.74069
Sladek, J.; Sladek, V.; Atluri, S. N.
2001
Application of meshless local Petrov-Galerkin (MLPG) method fo elastodynamic problems in continuously nonhomogeneous solids. Zbl 1064.74178
Sladek, Jan; Sladek, Vladimir; Zhang, Chuanzeng
2003
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
State-of-the-art, trends, and directions in computational electromagnetics. Zbl 1080.78013
Reitich, F.; Tamma, K. K.
2004
A stabilized RBF collocation scheme for Neumann type boundary value problems. Zbl 1232.65156
Libre, Nicolas Ali; Emdadi, Arezoo; Kansa, Edward J.; Rahimian, Mohammad; Shekarchi, Mohammad
2008
Computational modelling of isotropic multiplicative growth. Zbl 1188.74059
Himpel, G.; Kuhl, E.; Menzel, A.; Steinmann, P.
2005
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
Libre, Nicolas Ali; Emdadi, Arezoo; Kansa, Edward J.; Shekarchi, Mohammad; Rahimian, Mohammad
2008
Two-phase flow in complex geometries: a diffuse domain approach. Zbl 1231.76200
Aland, S.; Lowengrub, J.; Voigt, A.
2010
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 two-side equilibration method to reduce the condition number of an ill-posed linear system. Zbl 1356.65116
Liu, Chein-Shan
2013
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
Meshless BEM for three-dimensional Stokes flows. Zbl 1147.76595
Tsai, C. C.; Young, D. L.; Cheng, A. H.-D.
2002
A comparative study of global and local meshless methods for diffusion-reaction equation. Zbl 1231.65184
Yao, Guangming; Siraj-Ul-Islam; Sarler, Bozidar
2010
Particular solutions of Chebyshev polynomials for polyharmonic and poly-Helmholtz equations. Zbl 1232.65173
Tsai, Chia-Cheng
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
The Lie-group shooting method for nonlinear two-point boundary value problems exhibiting multiple solutions. Zbl 1232.65108
Liu, Chein-Shan
2006
Phase field: a variational method for structural topology optimization. Zbl 1152.74382
Wang, Michael Yu; Zhou, Shiwei
2004
Meshless local Petrov-Galerkin (MLPG) approaches for solving 3D problems in elastostatics. Zbl 1087.74654
Han, Z. D.; Atluri, S. N.
2004
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
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
The Lie-group shooting method for singularly perturbed two-point boundary value problems. Zbl 1152.65452
Liu, Chein-Shan
2006
A highly accurate MCTM for inverse Cauchy problems of Laplace equation in arbitrary plane domains. Zbl 1153.65359
Liu, Chein-Shan
2008
The hybrid boundary node method accelerated by fast multipole expansion technique for 3D elasticity. Zbl 1231.74447
Wang, Qiao; Miao, Yu; Zheng, Junjie
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
Non-singular method of fundamental solutions for two-dimensional isotropic elasticity problems. Zbl 1356.74021
Liu, Q. G.; Šarler, B.
2013
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
Numerical investigation on direct MLPG for 2D and 3D potential problems. Zbl 1357.65262
Mazzia, Annamaria; Pini, Giorgio; Sartoretto, Flavio
2012
Meshless local Petrov-Galerkin (MLPG) method for shear deformable shells analysis. Zbl 1232.74073
Sladek, J.; Sladek, V.; Wen, P. H.; Aliabadi, M. H.
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
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 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
A meshless method for solving the 2D Brusselator reaction-diffusion system. Zbl 1357.65152
Mohammadi, M.; Mokhtari, R.; Schaback, R.
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 developed new algorithm for evaluating Adomian polynomials. Zbl 1357.65067
Azreg-Aïnou, M.
2009
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
Efficient shooting methods for the second-order ordinary differential equations. Zbl 1152.65453
Liu, Chein-Shan
2006
Simulation of high explosive explosion using adaptive material point method. Zbl 1257.76045
Ma, Shang; Zhang, Xiong; Lian, Yanping; Zhou, Xu
2009
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
Method of fundamental solutions for scattering problems of electromagnetic waves. Zbl 1106.78008
Ruan, D. L.; Ruan, J. W.
2005
Non-singular method of fundamental solutions based on Laplace decomposition for 2D Stokes flow problems. Zbl 1356.76258
Sincich, E.; Sarler, B.
2014
Meshless local Petrov-Galerkin (MLPG) mixed collocation method for elasticity problems. Zbl 1357.74079
Atluri, S. N.; Liu, H. T.; Han, Z. D.
2006
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
On the equivalence between least-squares and kernel approximations in meshless methods. Zbl 0996.65118
Jin, Xiaozhong; Li, Gang; Aluru, N. R.
2001
A MLPG (LBIE) method for solving frequency domain elastic problems. Zbl 1064.74170
Sellountos, E. J.; Polyzos, D.
2003
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
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
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
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
A 2-D time-domain BIEM for dynamic analysis of cracked orthotropic solids. Zbl 1040.74053
Zhang, Ch.
2002
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
Sladek, J.; Sladek, V.; Zhang, Ch.; Solek, P.; Starek, L.
2007
SPH in a total Lagrangian formalism. Zbl 1357.76072
Vignjevic, Rade; Reveles, Juan R.; Campbell, James
2006
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 meshless method for the Laplace and biharmonic equations subjected to noisy boundary data. Zbl 1081.65548
Jin, B.
2004
A dual hybrid boundary node method for 2D elastodynamics problems. Zbl 1231.74460
Miao, Yu; Wang, Qiao; Liao, Bihai; Zheng, Junjie
2009
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
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
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
Stable PDE solution methods for large multiquadric shape parameters. Zbl 1232.65154
Emdadi, Arezoo; Kansa, Edward J.; Libre, Nicolas Ali; Rahimian, Mohammad; Shekarchi, Mohammad
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
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
A multiscale approach for the micropolar continuum model. Zbl 1107.74004
Kadowaki, Hiroshi; Liu, Wing Kam
2005
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
Singular boundary method: three regularization approaches and exteriorwave applications. Zbl 1357.65279
Fu, Zhuo-Jia; Chen, Wen; Chen, Jeng-Tzong; Qu, Wen-Zhen
2014
A fictitious time integration method for the numerical solution of the Fredholm integral equation and for numerical differentiation of noisy data, and its relation to the filter theory. Zbl 1357.65070
Liu, Chein-Shan; Atluri, Satya N.
2009
A Galerkin boundary node method for two-dimensional linear elasticity. Zbl 1357.74008
Li, Xiaolin; Zhu, Jialin
2009
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
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
Meshless local Petrov-Galerkin method with unity test function for non-isothermal fluid flow. Zbl 1232.76024
Arefmanesh, A.; Najafi, M.; Abdi, H.
2008
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
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
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
Singular boundary method: three regularization approaches and exteriorwave applications. Zbl 1357.65279
Fu, Zhuo-Jia; Chen, Wen; Chen, Jeng-Tzong; Qu, Wen-Zhen
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
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 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
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
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
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
Differential quadrature and cubature methods for steady-state space-fractional advection-diffusion equations. Zbl 1357.65303
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
Dynamic anti-plane crack analysis in functional graded piezoelectric semiconductor crystals. Zbl 1356.74188
Sladek, J.; Sladek, V.; Pan, E.; Young, D. L.
2014
A new approach to a fuzzy time-optimal control problem. Zbl 1356.93045
Amrahov, S. Emrah; Gasilov, N. A.; Fatullayev, A. G.
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
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
A computational modeling framework for heat transfer processes in laser-induced dermal tissue removal. Zbl 1356.74140
Zohdi, T. I.
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
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
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
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
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
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
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
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
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
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
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 element analysis of shear deformable shallow shells under harmonic excitation. Zbl 1356.74130
Useche, J.
2014
Boundary layer effect in regularized meshless method for Laplace equation. Zbl 1357.65300
Li, Weiwei; Chen, Wen
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
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
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
Simulations of blood drop spreading and impact for bloodstain pattern analysis. Zbl 1356.76474
Wang, Chu; Zhang, Lucy T.
2014
Complete solid buckling analysiswith boundary face method. Zbl 1356.74253
Li, Guangyao; Guo, Shuaiping; Zhang, Jianming; Fei, Baiping; Li, Yuan
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
An LGDAE method to solve nonlinear Cauchy problem without initial temperature. Zbl 1357.65159
Liu, Chein-Shan
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
Homotopy method for parameter determination of solute transport with fractional advection-dispersion equation. Zbl 1356.76367
Wei, Hui; Chen, Wen; Sun, Hongguang
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
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
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
Richardson extrapolation method for singularly perturbed convection-diffusion problems on adaptively generated mesh. Zbl 1356.65185
Das, Pratibhamoy; Natesan, Srinivasan
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
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
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
Modeling imperfect interfaces in the material point method using multimaterial methods. Zbl 1356.74014
Nairn, J. A.
2013
A meshless simulations for 2D nonlinear reaction-diffusion Brusselator system. Zbl 1357.65178
Shirzadi, Ahmad; Sladek, Vladimir; Sladek, Jan
2013
Error expansion of classical trapezoidal rule for computing Cauchy principal value integral. Zbl 1356.65082
Li, Jin; Yu, De-Hao
2013
Using the method of fundamental solutions for obtaining exponentially convergent Helmholtz eigensolutions. Zbl 1357.65250
Tsai, Chia-Cheng; Young, D. L.
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
On the solution of Burgers-Huxley and Huxley equation using wavelet collocation method. Zbl 1357.65200
Ray, S. Saha; Gupta, A. K.
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
Tadeu, A.; Stanak, P.; Sladek, J.; Sladek, V.; Prata, J.; Simões, N.
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
Moussavinezhad, S. M.; Shahabian, Farzad; Hosseini, Seyed Mahmoud
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
Fuzzy analysis of structures with imprecisely defined properties. Zbl 1356.74103
Behera, Diptiranjan; Chakraverty, Snehashish
2013
Operational matrix method for solving variable order fractional integro-differential equations. Zbl 1356.65205
Yi, Mingxu; Huang, Jun; Wang, Lifeng
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
Iterative coupling between the TBEM and the MFS. II: Elastic wave propagation. Zbl 1357.65278
António, Julieta; Tadeu, António; Ferreira, Patrícia
2013
A $$\mathrm{GL}(n,\mathbb R)$$ differential algebraic equation method for numerical differentiation of noisy signal. Zbl 1356.93029
Liu, Chein-Shan; Atluri, Satya N.
2013
Inverse nodal problem for the differential operator with a singularity at zero. Zbl 1356.65182
Yilmaz, Emrah; Koyunbakan, Hikmet; Ic, Unal
2013
A comparative study of three domain-integral evaluation techniques in the boundary-domain integral equation method for transient thermoelastic crack analysis in FGMs. Zbl 1356.74229
Ekhlakov, A. V.; Khay, O. M.; Zhang, Ch.; Gao, X. W.; Sladek, J.; Sladek, V.
2013
Half space acoustic problems analysis by fast multipole boundary face method. Zbl 1356.74246
Wang, Xianhui; Zhang, Jianming; Zheng, Xingshuai; Zhou, Fenglin
2013
Numerical approximate solutions of nonlinear Fredholm integral equations of second kind using B-spline wavelets and variational iteration method. Zbl 1356.65266
Sahu, P. K.; Saha Ray, S.
2013
Hyper-singular dual reciprocity formulation for potential problems. Zbl 1357.65285
Loeffler, C. F.; Peixoto, R. G.
2013
A simple proper orthogonal decomposition method for von Kármán plate undergoing supersonic flow. Zbl 1356.76148
Xie, Dan; Xu, Min
2013
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#### Cited by 3,699 Authors

 74 Liu, Chein-Shan 57 Dehghan Takht Fooladi, Mehdi 52 Sladek, Jan 52 Sladek, Vladimir 36 Liu, Gui-Rong 35 Zhang, Chuanzeng 33 Chen, Wen 32 Šarler, Božidar 23 Abbaszadeh, Mostafa 23 Soares, Delfim jun. 22 Li, Xiaolin 21 Fu, Zhuojia 21 Li, Guangyao 21 Nguyen-Xuan, Hung 20 Fan, Chia-Ming 19 Nguyen-Thoi, Trung 19 Tadeu, António J. B. 18 Chen, Ching-Shyang 18 Siraj-ul-Islam 18 Zhang, Jianming 17 Abbasbandy, Saeid 17 Desmet, Wim 17 Rabczuk, Timon 16 Ferri Aliabadi, Mohammad Hossien 15 Abd-Elhameed, Waleed Mohamed 15 Duan, Junsheng 15 Karageorghis, Andreas 15 Nicholls, David P. 15 Vandepitte, Dirk 15 Wen, Pihua H. 14 Bourantas, George C. 14 Gu, Yan 14 Nie, Yufeng 14 Shivanian, Elyas 14 Tran-Cong, Thanh 14 Wang, Qiao 14 Yan, Fei 13 Cui, Junzhi 13 Hon, Yiu-Chung 13 Hosseini, Seyed Mahmoud 13 Mai-Duy, Nam 13 Wang, Michael Yu 12 Atluri, Satya N. 12 Bordas, Stéphane Pierre Alain 12 Liu, Wing Kam 12 Tsai, Chia-Cheng 11 Chen, Jeng-Tzong 11 Feng, Xiating 11 Gavete, Luis 11 Godinho, Luís M. C. 11 Ling, Leevan 11 Loukopoulos, Vassilios C. 11 Mirzaei, Davoud 11 Mohebbi, Akbar 11 Wang, Fajie 11 Zhou, Wei 11 Zhuang, Xiaoying 10 Batra, Romesh C. 10 Benito, Juan José 10 Chang, Chih-Wen 10 Chang, Jiang-ren 10 Chang, Xiaolin 10 Cui, Xiangyang 10 Deckers, Elke 10 Dong, Hao 10 Liew, Kim Meow 10 Lin, Ji 10 Lv, Jiahe 10 Mantič, Vladislav 10 Rach, Randolph C. 10 Saez, Andres 10 Shirzadi, Ahmad 10 Ureña, Francisco 10 Yang, Zihao 10 Zhang, Xiong 9 Aimi, Alessandra 9 García-Sánchez, Felipe 9 Guilkey, James E. 9 Guz, Igor A. 9 Kuhl, Ellen 9 Liu, Fawang 9 Power, Henry 9 Qu, Wenzhen 9 Van Genechten, Bert 9 Yang, Zhiqiang 8 Belinha, Jorge 8 Cheng, Yonggang 8 Diligenti, Mauro 8 Gao, Xiaowei 8 Gu, Yuantong 8 Hematiyan, Mohammad Rahim 8 Li, Junpu 8 Lin, Chao-An 8 Ma, Gang 8 Majchrzak, Ewa 8 Mansur, Webe Joao 8 Niu, Zhongrong 8 Ochiai, Yoshihiro 8 Qian, Dong 8 Schanz, Martin ...and 3,599 more Authors
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#### Cited in 190 Journals

 620 Engineering Analysis with Boundary Elements 200 Computer Methods in Applied Mechanics and Engineering 130 Journal of Computational Physics 128 Computational Mechanics 117 International Journal for Numerical Methods in Engineering 92 Applied Mathematics and Computation 91 Applied Mathematical Modelling 79 Computers & Mathematics with Applications 70 Journal of Computational and Applied Mathematics 51 Acta Mechanica 46 Mathematical Problems in Engineering 45 Computers and Fluids 43 European Journal of Mechanics. A. Solids 41 International Journal of Computational Methods 37 International Journal of Solids and Structures 27 Applied Numerical Mathematics 26 Journal of the Mechanics and Physics of Solids 23 Mathematics and Computers in Simulation 22 International Journal of Heat and Mass Transfer 22 Meccanica 22 Journal of Scientific Computing 22 Numerical Algorithms 18 International Journal of Engineering Science 18 Archives of Computational Methods in Engineering 15 Numerical Methods for Partial Differential Equations 15 Nonlinear Dynamics 15 International Journal of Fracture 14 Inverse Problems in Science and Engineering 13 Wave Motion 13 Applied Mathematics Letters 13 Structural and Multidisciplinary Optimization 13 Advances in Difference Equations 13 Acta Mechanica Sinica 12 Archive of Applied Mechanics 11 International Journal for Numerical Methods in Fluids 11 Journal of Engineering Mathematics 11 SIAM Journal on Scientific Computing 11 Communications in Numerical Methods in Engineering 11 Computational and Applied Mathematics 11 Mathematics and Mechanics of Solids 10 Journal of Applied Mathematics 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 International Journal of Numerical Methods for Heat & Fluid Flow 9 European Journal of Mechanics. B. Fluids 9 Communications in Nonlinear Science and Numerical Simulation 9 International Journal for Numerical Methods in Biomedical Engineering 8 Advances in Computational Mathematics 8 Computational Geosciences 7 Mathematical Methods in the Applied Sciences 7 Abstract and Applied Analysis 7 Engineering Computations 7 Advances in Mathematical Physics 6 Continuum Mechanics and Thermodynamics 6 International Applied Mechanics 6 Journal of Theoretical Biology 6 Journal of Applied Mathematics and Computational Mechanics 5 Chaos, Solitons and Fractals 5 Applied Mathematics and Mechanics. (English Edition) 5 COMPEL 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 International Journal of Applied and Computational Mathematics 5 AMM. Applied Mathematics and Mechanics. (English Edition) 5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 4 International Journal of Plasticity 4 Journal of Optimization Theory and Applications 4 Mechanics Research Communications 4 Numerische Mathematik 4 Finite Elements in Analysis and Design 4 International Journal of Computer Mathematics 4 Journal of Elasticity 4 Nonlinear Analysis. Real World Applications 4 Journal of Applied Mathematics and Computing 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 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 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Discrete Dynamics in Nature and Society 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 3 Mediterranean Journal of Mathematics 3 Boundary Value Problems 3 Arabian Journal for Science and Engineering 3 ISRN Applied Mathematics 3 Mathematical Sciences 3 Mathematics 2 Archives of Mechanics 2 Journal of Statistical Physics 2 Mathematics of Computation 2 BIT ...and 90 more Journals
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#### Cited in 46 Fields

 1,500 Numerical analysis (65-XX) 1,248 Mechanics of deformable solids (74-XX) 472 Fluid mechanics (76-XX) 437 Partial differential equations (35-XX) 161 Classical thermodynamics, heat transfer (80-XX) 90 Ordinary differential equations (34-XX) 89 Biology and other natural sciences (92-XX) 85 Optics, electromagnetic theory (78-XX) 45 Statistical mechanics, structure of matter (82-XX) 39 Approximations and expansions (41-XX) 34 Real functions (26-XX) 33 Calculus of variations and optimal control; optimization (49-XX) 31 Integral equations (45-XX) 30 Geophysics (86-XX) 27 Operations research, mathematical programming (90-XX) 19 Mechanics of particles and systems (70-XX) 18 Computer science (68-XX) 18 Systems theory; control (93-XX) 14 Quantum theory (81-XX) 13 Dynamical systems and ergodic theory (37-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 11 Probability theory and stochastic processes (60-XX) 10 Special functions (33-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 8 Information and communication theory, circuits (94-XX) 7 Integral transforms, operational calculus (44-XX) 7 Operator theory (47-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Statistics (62-XX) 5 Functional analysis (46-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Potential theory (31-XX) 3 Number theory (11-XX) 3 Difference and functional equations (39-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Field theory and polynomials (12-XX) 2 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 2 Differential geometry (53-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX)