## International Journal of Computational Methods

 Short Title: Int. J. Comput. Methods Publisher: World Scientific, Singapore ISSN: 0219-8762; 1793-6969/e Online: https://www.worldscientific.com/loi/ijcm
 Documents Indexed: 1,127 Publications (since 2004) References Indexed: 1,115 Publications with 35,967 References.
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### Latest Issues

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### Authors

 58 Liu, Gui-Rong 13 Wan, Decheng 13 Zhang, GuiYong 12 Han, Xu 12 Nguyen-Thoi, Trung 11 Cui, Xiangyang 11 Li, Guangyao 10 Gu, Yuantong 8 Liu, Moubin 8 Zang, Mengyan 7 Li, Wei 7 Ma, Guowei 7 Nguyen-Xuan, Hung 7 Rabczuk, Timon 7 Sibanda, Precious 7 Zong, Zhi 6 Behl, Ramandeep 6 Chen, Yizhou 6 Kanok-Nukulchai, Worsak 6 Motsa, Sandile Sydney 6 Tang, Dalin 6 Vo-Duy, Trung 5 Chai, Yingbin 5 Chen, Mengcheng 5 Feng, Xinlong 5 He, Yinnian 5 Li, Eric 5 Liu, Jie 5 Niu, Ruiping 5 Soares, Delfim jun. 5 Tounsi, Abdelouahed 5 Wang, Jianhua 5 Xu, Xu 5 Yao, Jianyao 5 Yüzbaşı, Şuayip 5 Zheng, Hong 4 Argyros, Ioannis Konstantinos 4 Chen, Jian 4 Civalek, Ömer 4 Duan, Shuyong 4 Gao, Xiaowei 4 Gravvanis, George A. 4 Ho-huu, Vinh 4 Jiang, Chen 4 Natarajan, Sundararajan 4 Ogino, Masao 4 Okuda, Hiroshi 4 Onishi, Yuki 4 Qamar, Shamsul 4 Shao, Jiaru 4 Wang, Guangyu 4 Wang, Lifeng 4 Wang, Zhongxian 4 Xiao, Yihua 4 Yang, Yang 4 Zhang, Zhiqian 4 Zhou, Liming 3 Ang, Kok Keng 3 Chau-Dinh, Thanh 3 Chen, Lei 3 Chen, Shunhua 3 Chen, Zhen 3 De, Suvranu 3 Dong, Xiangwei 3 Düster, Alexander 3 Elaskar, Sergio A. 3 Er, Guokang 3 Filelis-Papadopoulos, Christos K. 3 Gao, Liang 3 Ghoreishi, Farideh 3 Gupta, Dharmendra Kumar 3 He, Zhicheng 3 Hori, Muneo 3 Houari, Mohammed Sid Ahmed 3 Hu, Ning 3 Hu, Xuqu 3 Hwang, Yunn-Lin 3 Iu, Vai Pan 3 Jiang, Chao 3 Kadioglu, Samet Y. 3 Khuri, Suheil A. 3 Kim, Wooram 3 Le Van Canh 3 Li, Bao 3 Li, Gang 3 Li, Gaoyang 3 Li, Hongying 3 Li, Xiaolin 3 Li, Zengliang 3 Liu, Youjun 3 Lou, Jing 3 Luong, van Hai 3 Mao, Boyan 3 Markou, George A. 3 Mondal, Sabyasachi 3 Noor, Muhammad Aslam 3 Oñate Ibáñez de Navarra, Eugenio 3 Panda, Subrata Kumar 3 Papadrakakis, Manolis 3 Qiao, Aike ...and 2,198 more Authors
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### Fields

 564 Numerical analysis (65-XX) 564 Mechanics of deformable solids (74-XX) 303 Fluid mechanics (76-XX) 67 Classical thermodynamics, heat transfer (80-XX) 57 Operations research, mathematical programming (90-XX) 50 Partial differential equations (35-XX) 50 Biology and other natural sciences (92-XX) 32 Geophysics (86-XX) 31 Mechanics of particles and systems (70-XX) 26 Computer science (68-XX) 22 Statistics (62-XX) 22 Systems theory; control (93-XX) 21 Statistical mechanics, structure of matter (82-XX) 19 Optics, electromagnetic theory (78-XX) 14 Ordinary differential equations (34-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 12 Integral equations (45-XX) 10 General and overarching topics; collections (00-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Information and communication theory, circuits (94-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Approximations and expansions (41-XX) 6 Probability theory and stochastic processes (60-XX) 5 Quantum theory (81-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Operator theory (47-XX) 2 Mathematical logic and foundations (03-XX) 2 Measure and integration (28-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Astronomy and astrophysics (85-XX)

### Citations contained in zbMATH Open

655 Publications have been cited 3,268 times in 2,007 Documents Cited by Year
A generalized gradient smoothing technique and the smoothed bilinear form for Galerkin formulation of a wide class of computational methods. Zbl 1222.74044
Liu, G. R.
2008
A linearly conforming point interpolation method (LC-PIM) for 2D solid mechanics problems. Zbl 1137.74303
Liu, G. R.; Zhang, G. Y.; Dai, K. Y.; Wang, Y. Y.; Zhong, Z. H.; Li, G. Y.; Han, X.
2005
The particle finite element method – an overview. Zbl 1182.76901
Oñate, E.; Idelsohn, S. R.; Del Pin, F.; Aubry, R.
2004
Generalized finite element methods – main ideas, results and perspective. Zbl 1081.65107
Babuška, Ivo; Banerjee, Uday; Osborn, John E.
2004
Edge-based smoothed point interpolation methods. Zbl 1264.74284
Liu, G. R.; Zhang, G. Y.
2008
A linearly conforming radial point interpolation method for solid mechanics problems. Zbl 1198.74120
Liu, G. R.; Li, Y.; Dai, K. Y.; Luan, M. T.; Xue, W.
2006
A normed G space and weakened weak ($$\mathrm W^2$$) formulation of a cell-based smoothed point interpolation method. Zbl 1264.74285
Liu, G. R.; Zhang, G. Y.
2009
On G space theory. Zbl 1264.74266
Liu, G. R.
2009
The method of approximate particular solutions for solving elliptic problems with variable coefficients. Zbl 1245.65172
Chen, C. S.; Fan, C. M.; Wen, P. H.
2011
Additional properties of the node-based smoothed finite element method (NS-FEM) for solid mechanics problems. Zbl 1267.74115
Nguyen-Thoi, T.; Liu, G. R.; Nguyen-Xuan, H.
2009
An overview on meshfree methods: for computational solid mechanics. Zbl 1359.74388
Liu, G. R.
2016
The upper bound property for solid mechanics of the linearly conforming radial point interpolation method (LC-RPIM). Zbl 1198.74123
Zhang, G. Y.; Liu, G. R.; Nguyen, T. T.; Song, C. X.; Han, X.; Zhong, Z. H.; Li, G. Y.
2007
Performance of different integration schemes in facing discontinuities in the finite cell method. Zbl 1359.65245
2013
Meshfree methods and their comparisons. Zbl 1137.74302
Gu, Y. T.
2005
An overview on smoothed particle hydrodynamics. Zbl 1257.76092
Liu, M. B.; Liu, G. R.; Zong, Z.
2008
An interpolating boundary element-free method with nonsingular weight function for two-dimensional potential problems. Zbl 1359.65282
Wang, Jufeng; Wang, Jianfei; Sun, Fengxin; Cheng, Yumin
2013
An advanced meshless method for time fractional diffusion equation. Zbl 1245.65133
Gu, Y. T.; Zhuang, P.; Liu, Q.
2011
Application of polygonal finite elements in linear elasticity. Zbl 1198.74104
Tabarraei, A.; Sukumar, N.
2006
Application of smoothed finite element method to two-dimensional exterior problems of acoustic radiation. Zbl 1404.76158
Chai, Yingbin; Gong, Zhixiong; Li, Wei; Li, Tianyun; Zhang, Qifan; Zou, Zhihong; Sun, Yangbin
2018
Further investigation of element-free Galerkin method using moving Kriging interpolation. Zbl 1179.74182
Tongsuk, P.; Kanok-Nukulchai, W.
2004
Interval and subinterval analysis methods of the structural analysis and their error estimations. Zbl 1198.65088
Zhou, Y. T.; Jiang, C.; Han, X.
2006
A discrepancy principle for the source points location in using the MFS for solving the BHCP. Zbl 1264.80031
Hon, Y. C.; Li, M.
2009
Meshfree methods: a comprehensive review of applications. Zbl 1404.74199
Garg, Sahil; Pant, Mohit
2018
Dynamic load identification for uncertain structures based on interval analysis and regularization method. Zbl 1245.74018
Liu, Jie; Han, Xu; Jiang, Chao; Ning, H. M.; Bai, Y. C.
2011
A smoothing method for shape optimization: traction method using the Robin condition. Zbl 1198.74055
Azegami, Hideyuki; Takeuchi, Kenzen
2006
Free and forced vibration analysis using the $$n$$-sided polygonal cell-based smoothed finite element method (nCS-FEM). Zbl 1359.74433
Nguyen-Thoi, T.; Phung-Van, P.; Rabczuk, T.; Nguyen-Xuan, H.; Le-Van, C.
2013
An immersed smoothed finite element method for fluid–structure interaction problems. Zbl 1245.74012
Zhang, Zhi-Qian; Yao, Jianyao; Liu, G. R.
2011
Semilocal convergence of a Stirling-like method in Banach spaces. Zbl 1267.65057
Parhi, S. K.; Gupta, D. K.
2010
An application of the ES-FEM in solid domain for dynamic analysis of 2d fluid-solid interaction problems. Zbl 1359.74432
Nguyen-Thoi, T.; Phung-Van, P.; Rabczuk, T.; Nguyen-Xuan, H.; Le-Van, C.
2013
A Galerkin meshfree method with stabilized conforming nodal integration for geometrically nonlinear analysis of shear deformable plates. Zbl 1245.74088
Wang, Dongdong; Sun, Yue
2011
Singular enrichment finite element method for elastodynamic crack propagation. Zbl 1076.74051
Belytschko, Ted; Chen, Hao
2004
Spectral collocation method for multi-order fractional differential equations. Zbl 1359.65213
Ghoreishi, F.; Mokhtary, P.
2014
Three-dimensional penetration simulation using smoothed particle hydrodynamics. Zbl 1257.74117
Zhou, C. E.; Liu, G. R.; Lou, K. Y.
2007
A novel general formulation for singular stress field using the es-FEM method for the analysis of mixed-mode cracks. Zbl 1267.74112
Liu, G. R.; Nourbakhshnia, N.; Chen, L.; Zhang, Y. W.
2010
An efficient recursive algorithm in the computational simulation of the bounded growth of biological films. Zbl 1359.76207
Morales-Hernández, M. D.; Medina-Ramírez, I. E.; Avelar-González, F. J.; Macías-Díaz, J. E.
2012
Numerical multistep approach for solving fractional partial differential equations. Zbl 1404.65210
2017
Numerical solution for hyperbolic conservative two-phase flow equations. Zbl 1198.76078
Zeidan, D.; Slaouti, A.; Romenski, E.; Toro, E. F.
2007
Free vibration analysis of Timoshenko beams and Mindlin plates by radial basis functions. Zbl 1189.74047
Ferreira, A. J. M.
2005
An edge-based smoothed finite element method for analysis of laminated composite plates. Zbl 1359.74434
Phan-Dao, H. H.; Nguyen-Xuan, H.; Thai-Hoang, C.; Nguyen-Thoi, T.; Rabczuk, T.
2013
Three-dimensional weakly nonlinear shallow water waves regime and its traveling wave solutions. Zbl 1404.76052
2018
A preconditioned AOR iterative method for the absolute value equations. Zbl 1404.65052
Li, Cui-Xia
2017
Lower bound of vibration modes using the node-based smoothed finite element method (NS-FEM). Zbl 1404.74163
Liu, Guirong; Chen, Meng; Li, Ming
2017
Derivation of particular solutions using Chebyshev polynomial based functions. Zbl 1198.65245
Chen, C. S.; Lee, Sungwook; Huang, C.-S.
2007
Higher-order parameter uniform convergent schemes for Robin type reaction-diffusion problems using adaptively generated grid. Zbl 1359.65123
Das, Pratibhamoy; Natesan, Srinivasan
2012
Multiscale numerical methods for singularly perturbed convection-diffusion equations. Zbl 1182.76902
Park, Peter J.; Hou, Thomas Y.
2004
The method of fundamental solutions for an inverse internal boundary value problem for the biharmonic equation. Zbl 1267.65171
Lesnic, D.; Zeb, A.
2009
Computation of limit load using edge-based smoothed finite element method and second-order cone programming. Zbl 1359.74420
Le, C. V.; Nguyen-Xuan, H.; Askes, H.; Rabczuk, T.; Nguyen-Thoi, T.
2013
A generalized and efficient method for finite cover generation in the numerical manifold method. Zbl 1359.65283
Cai, Yongchang; Zhuang, Xiaoying; Zhu, Hehua
2013
S-FEM for fracture problems, theory, formulation and application. Zbl 1359.74025
Liu, Gui Rong; Chen, Lei; Li, Ming
2014
Mid-frequency acoustic analysis using edge-based smoothed tetrahedron radialpoint interpolation methods. Zbl 1359.76255
He, Z. C.; Li, G. Y.; Li, Eric; Zhong, Z. H.; Liu, G. R.
2014
Semi-implicit coupling of cs-FEM and FEM for the interaction between a geometrically nonlinear solid and an incompressible fluid. Zbl 1359.76181
He, Tao
2015
On the Riemann problem simulation for the drift-flux equations of two-phase flows. Zbl 1359.76195
Kuila, S.; Sekhar, T. Raja; Zeidan, D.
2016
Stability of a time delayed SIR epidemic model along with nonlinear incidence rate and Holling type-II treatment rate. Zbl 1404.34082
Kumar, Abhishek; Nilam
2018
Meshfree cell-based smoothed point interpolation method using isoparametric PIM shape functions and condensed RPIM shape functions. Zbl 1245.65014
Zhang, G. Y.; Liu, G. R.
2011
A combined extended and edge-based smoothed finite element method (ES-XFEM) for fracture analysis of 2D elasticity. Zbl 1245.74081
Chen, Lei; Liu, Gui Rong; Zeng, Kai Yang
2011
Parameter-uniform finite element method for two-parameter singularly perturbed parabolic reaction-diffusion problems. Zbl 1359.65202
2012
A partitioned implicit coupling strategy for incompressible flow past an oscillating cylinder. Zbl 1359.76080
He, Tao
2015
Moving least squares (MLS) method for the nonlinear hyperbolic telegraph equation with variable coefficients. Zbl 1404.65199
Mardani, A.; Hooshmandasl, M. R.; Hosseini, M. M.; Heydari, M. H.
2017
3D acoustic shape sensitivity analysis using fast multipole boundary element method. Zbl 1359.74467
Zheng, C. J.; Chen, H. B.; Matsumoto, T.; Takahashi, T.
2012
On the convergence analysis of the spline collocation method for system of integral algebraic equations of index-2. Zbl 1360.65306
2012
An explicit smoothed finite element method (SFEM) for elastic dynamic problems. Zbl 1359.74398
Cui, X. Y.; Li, G. Y.; Liu, G. R.
2013
Numerical solution for the nonlinear Emden-Fowler type equations by a fourth-order adaptive method. Zbl 1359.65135
Khuri, S. A.; Sayfy, A.
2014
Mps-FEM partitioned coupling approach for fluid-structure interaction with free surface flow. Zbl 1359.74426
Mitsume, N.; Yoshimura, S.; Murotani, K.; Yamada, T.
2014
Smoothed point interpolation method for elastoplastic analysis. Zbl 1359.74455
Zhang, G. Y.; Li, Y.; Gao, X. X.; Hui, D.; Wang, S. Q.; Zong, Z.
2015
The numerical manifold method: a review. Zbl 1267.74129
Ma, Guowei; An, Xinmei; He, Lei
2010
A comparison between the NMM and the XFEM in discontinuity modeling. Zbl 1359.74392
An, Xinmei; Fu, Guoyang; Ma, Guowei
2012
A hybrid smoothed finite element method (H-SFEM) to solid mechanics problems. Zbl 1359.74453
Xu, Xu; Gu, Yuantong; Liu, Guirong
2013
A novel pick-out theory and technique for constructing the smoothed derivatives of functions for numerical methods. Zbl 1404.74162
Liu, G. R.
2018
An extended cell-based smoothed three-node Mindlin plate element (XCS-MIN3) for free vibration analysis of cracked FGM plates. Zbl 1404.74167
Nguyen-Thoi, T.; Rabczuk, T.; Ho-Huu, V.; Le-Anh, L.; Dang-Trung, H.; Vo-Duy, T.
2017
Solution of initial and boundary value problems by an effective accurate method. Zbl 1404.65079
Turkyilmazoglu, Mustafa
2017
The modified differential transform method for solving off-centered stagnation flow toward a rotating disc. Zbl 1270.76053
Erfani, Esmaeel; Rashidi, Mohammad Mehdi; Parsa, Amir Basiri
2010
Numerical solution of diffusion and reaction-diffusion partial integro-differential equations. Zbl 1404.65318
Aziz, Imran; Khan, Imran
2018
Dynamic elastoplastic analysis using the meshless local natural neighbor interpolation method. Zbl 1245.74006
Chen, Shenshen; Li, Qinghua; Liu, Yinghua; Xia, Jiangtao; Xue, Zhiqing
2011
A wavelet Taylor-Galerkin method for parabolic and hyperbolic partial differential equations. Zbl 1189.65226
Kumar, B. V. Rathish; Mehra, Mani
2005
A complex variable meshless manifold method for fracture problems. Zbl 1267.74124
Gao, Hongfen; Cheng, Yumin
2010
Meshfree cell-based smoothed alpha radial point interpolation method (CS-$$\alpha$$RPIM) for solid mechanics problems. Zbl 1359.74472
Liu, G. R.; Zhang, G. Y.; Zong, Z.; Li, M.
2013
A novel higher order shear and normal deformation theory based on neutral surface position for bending analysis of advanced composite plates. Zbl 1359.74084
Bousahla, Abdelmoumen Anis; Houari, Mohammed Sid Ahmed; Tounsi, Abdelouahed; Bedia, El Abbas Adda
2014
Singular boundary method for various exterior wave applications. Zbl 1360.65298
Fu, Zhuo-Jia; Chen, Wen; Lin, Ji; Cheng, Alexander H.-D.
2015
Mathematical basis of $$G$$ spaces. Zbl 1359.46024
Chen, Meng; Li, Ming; Liu, G. R.
2016
A modified smoothed finite element method for static and free vibration analysis of solid mechanics. Zbl 1359.74130
Cui, Xiang Yang; Hu, Xiao Bin; Li, Guang Yao; Liu, Gui Rong
2016
An enriched edge-based smoothed FEM for linear elastic fracture problems. Zbl 1404.74177
Yang, Yongtao; Zheng, Hong; Du, Xiuli
2017
Fitted finite difference method for third order singularly perturbed delay differential equations of convection diffusion type. Zbl 07074134
Mahendran, R.; Subburayan, V.
2019
An enhancement of finite element method with moving Kriging shape functions. Zbl 1137.74306
Plengkhom, K.; Kanok-Nukulchai, W.
2005
Numerical simulation of ballast water by SPH method. Zbl 1359.76238
Yang, Xiufeng; Peng, Shiliu; Liu, Moubin; Shao, Jiaru
2012
A smoothed finite element method (s-FEM) for large-deformation elastoplastic analysis. Zbl 1359.74422
Liu, Jun; Zhang, Zhi-Qian; Zhang, Guiyong
2015
Development of the cell-based smoothed discrete shear gap plate element (CS-FEM-DSG3) using three-node triangles. Zbl 1359.74431
Nguyen-Thoi, T.; Nguyen-Thoi, M. H.; Vo-Duy, T.; Nguyen-Minh, N.
2015
Parabolic partial differential equations with nonlocal initial and boundary values. Zbl 1359.65211
Turkyilmazoglu, M.
2015
On partitions of unity property of nodal shape functions: rigid-body-movement reproduction and mass conservation. Zbl 1359.65261
Liu, G. R.
2016
Fully Legendre spectral Galerkin algorithm for solving linear one-dimensional telegraph type equation. Zbl 07103133
Doha, E. H.; Abd-Elhameed, W. M.; Youssri, Y. H.
2019
A superconvergent local discontinuous Galerkin method for nonlinear fourth-order boundary-value problems. Zbl 07336570
Baccouch, Mahboub
2020
A coupled FE-meshfree triangular element for acoustic radiation problems. Zbl 07342002
Li, Wei; Zhang, Qifan; Gui, Qiang; Chai, Yingbin
2021
A sharp-interface immersed boundary method for simulating incompressible flows with arbitrarily deforming smooth boundaries. Zbl 1404.76160
Cui, Zuo; Yang, Zixuan; Jiang, Hong-Zhou; Huang, Wei-Xi; Shen, Lian
2018
Energy stable discontinuous Galerkin finite element method for the Allen-Cahn equation. Zbl 1404.65173
Karasözen, Bülent; Uzunca, Murat; Sariaydin-Filibelioğlu, Ayşe; Yücel, Hamdullah
2018
Estimation of dispersion in an open channel from an elevated source using an upwind local meshless method. Zbl 1404.76196
Siraj-ul-Islam; Singh, Vikendra; Kumar, Sushil
2017
A local meshless method for steady state convection dominated flows. Zbl 1404.76195
Siraj-ul-Islam; Singh, Vikendra
2017
On some enrichments of reproducing kernel particle method. Zbl 1179.74184
Zhou, J. X.; Wang, X. M.; Zhang, Z. Q.; Zhang, L.
2004
An ABAQUS implementation of the cell-based smoothed finite element method (CS-FEM). Zbl 07124751
Cui, X.; Han, X.; Duan, S. Y.; Liu, G. R.
2020
Development of user element routine (UEL) for cell-based smoothed finite element method (CSFEM) in Abaqus. Zbl 07124752
Kumbhar, Pramod Y.; Francis, A.; Swaminathan, N.; Annabattula, R. K.; Natarajan, S.
2020
Improved smoothed particle hydrodynamics with rans for free-surface flow problems. Zbl 1359.76235
Shao, J. R.; Liu, M. B.; Yang, X. F.; Cheng, L.
2012
The boundary element method. Zbl 1359.65281
Mukherjee, Subrata; Liu, Yijun
2013
A coupled FE-meshfree triangular element for acoustic radiation problems. Zbl 07342002
Li, Wei; Zhang, Qifan; Gui, Qiang; Chai, Yingbin
2021
Robust finite difference method for singularly perturbed two-parameter parabolic convection-diffusion problems. Zbl 07341993
Bullo, Tesfaye Aga; Duressa, Gemechis File; Degla, Guy Aymard
2021
TubeNet: a special TrumpetNet for explicit solutions to inverse problems. Zbl 07342029
Liu, G. R.; Duan, S. Y.; Zhang, Z. M.; Han, X.
2021
A comparison between weakly-compressible smoothed particle hydrodynamics (WCSPH) and moving particle semi-implicit (MPS) methods for 3D dam-break flows. Zbl 07341995
Amaro, Rubens A. Junior; Cheng, Liang-Yee; Buruchenko, Sergei K.
2021
The homogenized transformation method for the calculation of stress intensity factor in cracked FGM structure. Zbl 07341990
Li, Rong; Yang, Meng; Liang, Bin
2021
Wrinkling analysis of pre-stressed rectangular membranes using element-free Galerkin method. Zbl 07342001
Unnikrishnan, K. R.; Praveen Krishna, I. R.; Arun, C. O.
2021
Application of adaptive phase-field scaled boundary finite element method for functionally graded materials. Zbl 07342007
Pramod, Aladurthi L. N.; Hirshikesh; Natarajan, Sundararajan; Ooi, Ean Tat
2021
A new mesh moving technique for a fluid-structure interaction problem using mesh deformation energy minimization. Zbl 07342017
Oh, Sahuck
2021
Distributed load identification for uncertain structure based on LHS-GA and improved L-curve method. Zbl 07342021
Zhao, Haitao; Li, Xiaowang; Chen, Ji&rsquo;an
2021
A three-dimensional monotonicity-preserving modified method of characteristics on unstructured tetrahedral meshes. Zbl 07342026
Khouya, Bassou; El-Amrani, Mofdi; Seaid, Mohammed
2021
Reduced-order modeling based on hybrid snapshot simulation. Zbl 07342028
Bai, Feng; Wang, Yi
2021
One identification method of distributed dynamic load based on modal coordinate transformation for thin plate structure. Zbl 07446679
Jiang, Jinhui; Kong, Huangfei; Yang, Hongji; Chen, Jianding
2021
Iterative approximation of preconditioning matrices through Krylov-type solver iterations. Zbl 07446694
Kushida, Noriyuki; Okuda, Hiroshi
2021
A fractal model of elastic-plastic contact between rough surfaces for a low-velocity impact process. Zbl 07446706
Lan, Weibin; Fan, Shouwen; Fan, Shuai
2021
Simulation and optimization of nonlinear structures on low frequency vibration and noise of lightweight car body. Zbl 07446885
Xie, X. P.; Chai, T.; Sun, Q.
2021
An optimized explicit-implicit time-marching formulation for dynamic analysis. Zbl 07446891
Soares, Delfim Jr.; Rodrigues, Matheus M.
2021
A meshless local radial point collocation method for simulating the time-fractional convection-diffusion equations on surfaces. Zbl 07446905
Qiao, Yuanyang; Feng, Xinlong; He, Yinnian
2021
A superconvergent local discontinuous Galerkin method for nonlinear fourth-order boundary-value problems. Zbl 07336570
Baccouch, Mahboub
2020
An ABAQUS implementation of the cell-based smoothed finite element method (CS-FEM). Zbl 07124751
Cui, X.; Han, X.; Duan, S. Y.; Liu, G. R.
2020
Development of user element routine (UEL) for cell-based smoothed finite element method (CSFEM) in Abaqus. Zbl 07124752
Kumbhar, Pramod Y.; Francis, A.; Swaminathan, N.; Annabattula, R. K.; Natarajan, S.
2020
Dispersion reduction for the wave propagation problems using a coupled “FE-meshfree” triangular element. Zbl 07342702
Chai, Yingbin; You, Xiangyu; Li, Wei
2020
A computational framework for design and optimization of flexoelectric materials. Zbl 1466.74007
Ghasemi, Hamid; Park, Harold S.; Alajlan, Naif; Rabczuk, Timon
2020
The modified VIM for certain type of the nonlinear two-point boundary value problems. Zbl 07136601
2020
Reliability-based design optimization for design problems with random fuzzy and interval uncertainties. Zbl 07205473
Zhang, Li-Xiang; Meng, Xin-Jia; Zhang, He
2020
Some new iterative techniques for the problems involving nonlinear equations. Zbl 07336572
Ali, Faisal; Aslam, Waqas; Rafiq, Arif
2020
Probability analysis of a perturbed epidemic system with relapse and cure. Zbl 07136610
2020
Coupling of finite element and meshfree method for structure mechanics application: a review. Zbl 1476.74144
Rohit, Gaurang R.; Prajapati, Jagdish M.; Patel, Vikram B.
2020
A novel alpha smoothed finite element method for ultra-accurate solution using quadrilateral elements. Zbl 07124748
Li, Y. H.; Li, M.; Liu, G. R.
2020
The partially truncated Euler-Maruyama method for highly nonlinear stochastic delay differential equations with Markovian switching. Zbl 07205469
Cong, Yuhao; Zhan, Weijun; Guo, Qian
2020
A blended compact difference (BCD) method for solving 3D convection-diffusion problems with variable coefficients. Zbl 07205477
Ma, Tingfu; Ge, Yongbin
2020
A comparative study of two families of higher-order accurate time integration algorithms. Zbl 07336580
Kim, Wooram; Lee, Jin Ho
2020
A meshfree computational approach based on multiple-scale Pascal polynomials for numerical solution of a 2D elliptic problem with nonlocal boundary conditions. Zbl 07342673
Oruç, Ömer
2020
On the receding contact between a homogeneous elastic layer and a half-plane substrate coated with functionally graded materials. Zbl 1466.74031
Yan, Jie; Mi, Changwen
2020
A new TVD scheme for gradient smoothing method using unstructured grids. Zbl 07136602
Zhang, Guiyong; Hui, Da; Li, Da; Zou, Li; Jiang, Shengchao; Zong, Zhi
2020
Quick and highly efficient modal analysis method based on the reanalysis technique for large complex structure and topology optimization. Zbl 07136604
He, Jianjun; Xu, Bin
2020
Dynamic output-feedback control for chemical stirred tank reactor system with multiple time-delays: a Lyapunov-Krasovskii functional approach. Zbl 07136608
Zheng, Wei; Wang, Hongbin; Zhang, Zhiming; Wen, Shuhuan; Wang, Yueling
2020
Stability analysis of smoothed finite element methods with explicit method for transient heat transfer problems. Zbl 07124745
Rong, Xin; Niu, Ruiping; Liu, Guirong
2020
Smoothing technique based beta FEM $$(\beta$$FEM) for static and free vibration analyses of Reissner-Mindlin plates. Zbl 07124746
Wu, F.; Zeng, W.; Yao, L. Y.; Hu, M.; Chen, Y. J.; Li, M. S.
2020
A concept of cell-based smoothed finite element method using 10-node tetrahedral elements (CS-FEM-T10) for large deformation problems of nearly incompressible solids. Zbl 07124749
Onishi, Yuki
2020
Spectral quasi-linearization method for entropy generation using the Cattaneo-Christov heat flux model. Zbl 07205444
Mondal, Hiranmoy; Sibanda, Precious
2020
Contact analysis of functionally graded materials using smoothed finite element methods. Zbl 07205454
Zhang, Y. F.; Yue, J. H.; Li, M.; Niu, R. P.
2020
Numerical model of time-dependent gas flows through bed of granular phase change material. Zbl 07205465
Lutsenko, Nickolay A.; Fetsov, Sergey S.
2020
A comparison study of HO-CFD and DSC-RSK with small computational bandwidths for solving some classes of boundary-value and eigenvalue problems. Zbl 07205466
Li, Wei; Song, Zhiwei; He, Xiaoqiao; Xie, De
2020
Numerical solution of some class of nonlinear partial differential equations using wavelet-based full approximation scheme. Zbl 07205470
Shiralashetti, S. C.; Angadi, L. M.; Deshi, A. B.
2020
An effective couple method for reliability-based multi-objective optimization of truss structures with static and dynamic constraints. Zbl 07205471
Vo-Duy, T.; Duong-Gia, D.; Ho-Huu, V.; Nguyen-Thoi, T.
2020
Local and parallel finite element algorithms for the Stokes equations with nonlinear slip boundary conditions. Zbl 07336582
Zhou, Kangrui; Shang, Yueqiang
2020
A stochastic Galerkin cell-based smoothed finite element method (SGCS-FEM). Zbl 07336586
Mathew, Tittu Varghese; Beex, Lars; Bordas, Stéphane Pa; Natarajan, Sundararajan
2020
Radial basis function-based stochastic natural frequencies analysis of functionally graded plates. Zbl 07342692
Karsh, P. K.; Kumar, R. R.; Dey, S.
2020
Numerical simulation of cracking process in rock mass under the coupled thermo-mechanical condition. Zbl 07342696
Liu, Xuewei; Liu, Quansheng; He, Jun; Yu, Fangzheng
2020
Monotone iterative technique for a class of four point BVPs with reversed ordered upper and lower solutions. Zbl 07342697
Verma, Amit K.; Urus, Nazia; Singh, Mandeed
2020
Numerical simulation of the ice resistance in pack ice conditions. Zbl 1466.74041
Yang, Biye; Zhang, Guiyong; Huang, Zhigang; Sun, Zhe; Zong, Zhi
2020
Examples of applications of two-stage method in calculations of statically indeterminate trusses. Zbl 1469.70006
Rȩbielak, Janusz
2020
Static and free vibration analyses of functionally graded carbon nanotube reinforced composite plates using CS-DSG3. Zbl 07136603
Truong-Thi, T.; Vo-Duy, T.; Ho-Huu, V.; Nguyen-Thoi, T.
2020
Preconditioned conjugate gradient methods for the refined FEM discretizations of nearly incompressible elasticity problems in three dimensions. Zbl 07136606
Xiao, Yingxiong; Li, Zhenyou
2020
3D finite element simulation of shot peening using a sequential model with multiple-shot impacts. Zbl 07136607
Wei, Qin; Wu, Wenxin; He, Wei; Zhu, Jianguo; Zhang, Jian
2020
Influence of heat and mass transfer on two-phase blood flow with Joule heating and variable viscosity in the presence of variable magnetic field. Zbl 07136609
Tripathi, Bhavya; Sharma, Bhupendra Kumar
2020
Controlling the power-law fluid flow and heat transfer under the external magnetic field using the flow index and the Hartmann number. Zbl 07136613
Evcin, Cansu; Uğur, Ömür; Tezer-Sezgin, Münevver
2020
Topology optimization of micro-structured materials featured with the specific mechanical properties. Zbl 07136614
Gao, Jie; Li, Hao; Luo, Zhen; Gao, Liang; Li, Peigen
2020
A hybrid framework of efficient multi-objective optimization of stiffened shells with imperfection. Zbl 1476.74124
Chen, Hanshu; Meng, Zeng; Zhou, Huanlin
2020
Element-quality-based stiffening for the pseudoelastic mesh-moving technique. Zbl 1476.74143
Ishihara, D.; Goto, A.; Onishi, M.; Horie, T.; Niho, T.
2020
A coupled discrete-finite element method for the ice-induced vibrations of a conical jacket platform with a GPU-based parallel algorithm. Zbl 1476.74053
Ji, Shunying; Wang, Shuailin
2020
An improvement to exact reanalysis algorithm for local non-topological structural modifications. Zbl 1476.65325
Song, Qi; Yang, Ren; Chen, Pu
2020
SPH simulation of high-volume rapid landslides triggered by earthquakes based on a unified constitutive model. II: Solid-liquid-like phase transition and flow-like landslides. Zbl 1476.74105
Bao, Yangjuan; Huang, Yu; Liu, G. R.; Zeng, Wei
2020
SPH simulation of high-volume rapid landslides triggered by earthquakes based on a unified constitutive model. I: Initiation process and slope failure. Zbl 1476.74104
Bao, Yangjuan; Huang, Yu; Liu, G. R.; Wang, Guangyu
2020
Axisymmetric generalized interpolation material point method for fully coupled thermomechanical evaluation of transient responses. Zbl 1476.74024
Tao, Jun; Zheng, Yonggang; Zhang, Hongwu; Chen, Zhen
2020
Design of high altitude propeller using multilevel optimization. Zbl 1476.74123
Liu, Xinqiang; He, Weiliang; Wei, Fengmei
2020
A class of novel tetrahedron elements with curved surfaces for three-dimensional solid mechanics problems with curved boundaries. Zbl 1476.74146
Wang, C. Q.; Yue, J. H.; Li, Ming
2020
Development of a software package of smoothed finite element method (S-FEM) for solid mechanics problems. Zbl 07124744
Niu, R. P.; Liu, G. R.; Yue, J. H.
2020
A complex variable boundary element-free method for potential and Helmholtz problems in three dimensions. Zbl 07124753
Li, Xiaolin; Zhang, Shougui; Wang, Yan; Chen, Hao
2020
Generation and parametrization of mean plasma radiative properties databases for astrophysics and nuclear fusion applications. Zbl 07205445
Rodríguez, Rafael; Espinosa, Guadalupe; Gil, Juan Miguel; Beltrán, Pablo R.
2020
Heat and mass transfer in an unsteady second grade nanofluid with viscous heating dissipation. Zbl 07205447
Oloniiju, Shina D.; Goqo, Sicelo P.; Sibanda, Precious
2020
Simulation of plasma microscopy properties and ion beam-plasma interaction processes in plasmas by using MIXKIP/RAPCAL/STOPP CODE. Zbl 07205451
Gil, J. M.; Rodríguez, R.; Espinosa, G.; Beltrán, P. R.
2020
Ball convergence for a multi-step harmonic mean Newton-like method in Banach space. Zbl 07205460
Behl, Ramandeep; Alshormani, Ali Saleh; Argyros, Ioannis K.
2020
A gradient weighted finite element method (GW-FEM) for static and quasi-static electromagnetic field computation. Zbl 07205472
Tang, Bingxian; Li, She; Cui, Xiangyang
2020
Novel transparent boundary conditions for the regularized long wave equation. Zbl 07205476
Abounouh, M.; Al-Moatassime, H.; Kaouri, S.
2020
Pseudospectral meshless radial point Hermit interpolation versus pseudospectral meshless radial point interpolation. Zbl 07336559
Shivanian, Elyas
2020
A mesh refinement algorithm for singularly perturbed boundary and interior layer problems. Zbl 07336560
Dubey, Ritesh Kumar; Gupta, Vikas
2020
Identifying an unknown source in the Poisson equation with a super order regularization method. Zbl 07336566
Li, Zhi; Zhao, Zhenyu; Meng, Zehong; Chen, Baoqin; Mei, Duan
2020
Crashworthiness optimization of a vertex fractal hexagonal structure. Zbl 07336567
Zhang, Yong; He, Ning; Hou, Yubo
2020
Using axisymmetric smoothed finite element method (S-FEM) to analyze pressure piping with defect in ABAQUS. Zbl 07336574
Cui, X.; Qie, Y. H.
2020
Pricing European and American options by SPH method. Zbl 07336576
Achchab, B.; Maloum, A. Cheikh; El Idrissi, A. Qadi
2020
On finite element implementation of polyconvex incompressible hyperelasticity: theory, coding and applications. Zbl 07336581
Suchocki, Cyprian; Jemioło, Stanisław
2020
Finite element analysis of the uncertainty of physical response of acoustic metamaterials with interval parameters. Zbl 07336584
Wu, Y.; Lin, X. Y.; Jiang, H. X.; Cheng, A. G.
2020
A stabilized finite volume element method for stationary Stokes-Darcy equations using the lowest order. Zbl 07336585
Wu, Yanyun; Mei, Liquan; Qiu, Meilan; Chu, Yuchuan
2020
Experimental and numerical investigations of tractive performance of off-road tires on gravel terrain. Zbl 07336587
Zeng, Haiyang; Xu, Wei; Zang, Mengyan; Yang, Peng
2020
A mesh-free approach for multiscale modeling in continuum-granular systems. Zbl 07342680
Wang, Can; Deng, An; Taheri, Abbas; Ge, Louis
2020
Legendre collocation method to solve the Riccati equations with functional arguments. Zbl 07342685
Yüzbaşı, Şuayip; Yıldırım, Gamze
2020
Simulation of fluid-structure interaction problems with thin elastic plate via the coupling of finite element and lattice Boltzmann methods. Zbl 07342687
Jiang, Fei; Liao, Kangping; Matsumura, Kazuki; Ohgi, Junji; Chen, Xian
2020
A numerical method to solve nonsymmetric eigensystems applied to dynamics of turbomachinery. Zbl 07342704
de Faria, Alfredo R.; Alhatim, Omair; Maciel, Homero Fonseca Santiago
2020
Fitted finite difference method for third order singularly perturbed delay differential equations of convection diffusion type. Zbl 07074134
Mahendran, R.; Subburayan, V.
2019
Fully Legendre spectral Galerkin algorithm for solving linear one-dimensional telegraph type equation. Zbl 07103133
Doha, E. H.; Abd-Elhameed, W. M.; Youssri, Y. H.
2019
A moving Kriging interpolation meshfree method based on naturally stabilized nodal integration scheme for plate analysis. Zbl 07072987
Thai, Chien H.; Nguyen-Xuan, H.
2019
Noniterative integration algorithms with controllable numerical dissipations for structural dynamics. Zbl 1479.74043
Li, Jinze; Yu, Kaiping
2019
Extending the meshless local Petrov-Galerkin method to solve stabilized turbulent fluid flow problems. Zbl 1404.76165
Sheikhi, Nasrin; Najafi, Mohammad; Enjilela, Vali
2019
Numerical solution of bioheat transfer problems with transient blood temperature. Zbl 07072974
Liu, Kuo-Chi; Tu, Fong-Jou
2019
An optimal eighth-order scheme for multiple zeros of univariate functions. Zbl 1445.65019
Behl, Ramandeep; Zafar, Fiza; Alshormani, Ali Saleh; Junjua, Moin-Ud-Din; Yasmin, Nusrat
2019
Numerical study on high velocity impact welding using a modified SPH method. Zbl 1404.76221
Zhang, Z. L.; Ma, T.; Liu, M. B.; Feng, D.
2019
FEA-AI and AI-AI: two-way deepnets for real-time computations for both forward and inverse mechanics problems. Zbl 07103141
Liu, G. R.
2019
A cell-based smoothed finite element method for free vibration analysis of a rotating plate. Zbl 07074130
Du, C. F.; Zhang, D. G.; Liu, G. R.
2019
F-bar aided edge-based smoothed finite element method with 4-node tetrahedral elements for static large deformation elastoplastic problems. Zbl 07074136
Onishi, Yuki
2019
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### Cited by 3,304 Authors

 141 Liu, Gui-Rong 40 Oñate Ibáñez de Navarra, Eugenio 38 Nguyen-Thoi, Trung 35 Zhang, GuiYong 31 Nguyen-Xuan, Hung 24 Dehghan Takht Fooladi, Mehdi 24 He, Zhicheng 22 Han, Xu 22 Idelsohn, Sergio Rodolfo 21 Abbaszadeh, Mostafa 21 Cui, Xiangyang 21 Li, Guangyao 19 Li, Eric 18 Li, Wei 18 Rabczuk, Timon 17 Chai, Yingbin 17 Düster, Alexander 16 Li, Xiaolin 15 Chen, Lei 15 Zheng, Hong 14 Bui, Tinh Quoc 14 Chen, Ching-Shyang 14 Zhang, Zhiqian 13 Argyros, Ioannis Konstantinos 13 Gu, Yuantong 13 Hu, Dean 13 Niu, Ruiping 12 Jiang, Chen 12 Phung-Van, P. 12 Xu, Xu 12 Zhou, Liming 11 Belinha, Jorge 11 George, Santhosh 11 Rank, Ernst 11 Zhong, Zhihua 10 Fan, Chia-Ming 10 Jiang, Chao 10 Lin, Ji 10 Liu, Chein-Shan 10 Macías-Díaz, Jorge Eduardo 10 Mohebbi, Akbar 9 Duressa, Gemechis File 9 Gu, Yan 9 Mokhtary, Payam 9 Ren, Shuhui 9 Roul, Pradip 9 Yang, Gang 9 Zang, Mengyan 8 Al-Smadi, Mohammed H. 8 Babuška, Ivo 8 Bordas, Stéphane Pierre Alain 8 Cheng, Ai Guo 8 Gao, Xiaowei 8 He, Tao 8 Kollmannsberger, Stefan 8 Liu, Jie 8 Liu, Moubin 8 Natal Jorge, Renato Manuel 8 Natarajan, Sundararajan 8 Rossi, Riccardo 8 Siraj-ul-Islam 8 Wang, Fajie 8 Zhang, Chuanzeng 7 Azegami, Hideyuki 7 Dinis, Lúcia M. J. S. 7 Fu, Zhuojia 7 Gao, Guangjun 7 Heydari, Mohammad Hossien 7 Qin, Qinghua 7 Thai, Chien Hoang 7 Yang, Yongtao 7 Zeidan, Dia 7 Zong, Zhi 6 Carbonell, Josep Maria 6 Dangal, Thir 6 Das, Pratibhamoy 6 Duan, Shuyong 6 Duczek, Sascha 6 Franci, Alessandro 6 Gong, Zhixiong 6 Hao, Peng 6 Hon, Yiu-Chung 6 Kumar, Abhishek 6 Lamichhane, A. R. 6 Li, Cuixia 6 Li, Gang 6 Li, Tianyun 6 Ling, Leevan 6 Nguyen, Minh Ngoc 6 Nie, Yufeng 6 Nilam, Murray E. Alexander 6 Ruess, Martin 6 Seadawy, Aly R. 6 Soares, Delfim jun. 6 Tang, Qian 6 Vo-Duy, Trung 6 Wan, Detao 6 Wang, Chong 6 Wang, Lei 6 Xu, George X. ...and 3,204 more Authors
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### Cited in 212 Journals

 369 International Journal of Computational Methods 261 Engineering Analysis with Boundary Elements 200 Computer Methods in Applied Mechanics and Engineering 83 Computational Mechanics 73 International Journal for Numerical Methods in Engineering 68 Computers & Mathematics with Applications 68 Applied Mathematical Modelling 53 Applied Mathematics and Computation 50 Journal of Computational Physics 43 Mathematical Problems in Engineering 39 Journal of Computational and Applied Mathematics 33 Acta Mechanica 25 Computers and Fluids 25 Applied Numerical Mathematics 23 Computational and Applied Mathematics 20 Inverse Problems in Science and Engineering 18 Numerical Algorithms 18 International Journal of Computer Mathematics 18 European Journal of Mechanics. A. Solids 16 Journal of Scientific Computing 14 Communications in Computational Physics 14 Advances in Applied Mathematics and Mechanics 13 Advances in Difference Equations 12 Mathematics and Computers in Simulation 11 International Journal of Applied and Computational Mathematics 9 Chaos, Solitons and Fractals 9 Journal of Mathematical Chemistry 8 Advances in Computational Mathematics 8 Archives of Computational Methods in Engineering 8 Journal of Applied Mathematics and Computing 7 International Journal for Numerical Methods in Fluids 7 Journal of Engineering Mathematics 7 Applied Mathematics Letters 7 Acta Mechanica Sinica 6 Journal of Mathematical Analysis and Applications 6 Numerische Mathematik 6 Differential Equations and Dynamical Systems 6 European Journal of Mechanics. B. Fluids 6 International Journal of Numerical Analysis and Modeling 6 International Journal of Biomathematics 6 AIMS Mathematics 5 Applicable Analysis 5 Meccanica 5 SIAM Journal on Numerical Analysis 5 Japan Journal of Industrial and Applied Mathematics 5 International Journal of Computational Fluid Dynamics 5 Communications in Nonlinear Science and Numerical Simulation 5 International Journal of Fracture 5 Advances in Mathematical Physics 5 International Journal for Numerical Methods in Biomedical Engineering 4 Physica A 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Archive of Applied Mechanics 4 SIAM Journal on Scientific Computing 4 Abstract and Applied Analysis 4 Mathematical Modelling and Analysis 4 Structural and Multidisciplinary Optimization 4 Mediterranean Journal of Mathematics 4 International Journal of Structural Stability and Dynamics 3 International Journal of Heat and Mass Transfer 3 Calcolo 3 Fuzzy Sets and Systems 3 Mathematical and Computer Modelling 3 Communications in Numerical Methods in Engineering 3 Applicationes Mathematicae 3 Journal of the Egyptian Mathematical Society 3 Complexity 3 Journal of Difference Equations and Applications 3 Computational Geosciences 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 Iranian Journal of Science and Technology. Transaction A: Science 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 S$$\vec{\text{e}}$$MA Journal 3 Computational Methods for Differential Equations 3 AMM. Applied Mathematics and Mechanics. (English Edition) 2 International Journal of Solids and Structures 2 Journal of Fluid Mechanics 2 Journal of Mathematical Physics 2 Mathematical Biosciences 2 Journal of Optimization Theory and Applications 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Applied Mathematics and Mechanics. (English Edition) 2 Computer Aided Geometric Design 2 Numerical Methods for Partial Differential Equations 2 Journal of Partial Differential Equations 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 The Journal of Analysis 2 Applied Mathematics. Series B (English Edition) 2 Journal of Mathematical Sciences (New York) 2 Journal of Vibration and Control 2 Mathematics and Mechanics of Solids 2 Nonlinear Dynamics 2 Discrete Dynamics in Nature and Society 2 Optimization and Engineering 2 Computational Methods in Applied Mathematics 2 Multiscale Modeling & Simulation 2 Optimization Letters 2 Mathematical Modelling of Natural Phenomena ...and 112 more Journals
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### Cited in 44 Fields

 1,244 Numerical analysis (65-XX) 891 Mechanics of deformable solids (74-XX) 498 Fluid mechanics (76-XX) 308 Partial differential equations (35-XX) 92 Ordinary differential equations (34-XX) 81 Biology and other natural sciences (92-XX) 79 Classical thermodynamics, heat transfer (80-XX) 51 Operations research, mathematical programming (90-XX) 40 Calculus of variations and optimal control; optimization (49-XX) 35 Integral equations (45-XX) 30 Computer science (68-XX) 29 Statistical mechanics, structure of matter (82-XX) 27 Systems theory; control (93-XX) 25 Geophysics (86-XX) 24 Operator theory (47-XX) 23 Real functions (26-XX) 23 Approximations and expansions (41-XX) 22 Mechanics of particles and systems (70-XX) 22 Optics, electromagnetic theory (78-XX) 20 Probability theory and stochastic processes (60-XX) 20 Statistics (62-XX) 14 Dynamical systems and ergodic theory (37-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 9 Information and communication theory, circuits (94-XX) 7 Potential theory (31-XX) 7 Special functions (33-XX) 6 Integral transforms, operational calculus (44-XX) 6 Quantum theory (81-XX) 5 Number theory (11-XX) 5 Difference and functional equations (39-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Combinatorics (05-XX) 3 History and biography (01-XX) 3 Mathematical logic and foundations (03-XX) 3 Functional analysis (46-XX) 2 General and overarching topics; collections (00-XX) 2 Functions of a complex variable (30-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Astronomy and astrophysics (85-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Convex and discrete geometry (52-XX)