# zbMATH — the first resource for mathematics

## 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: 1,050 Publications (since 2004) References Indexed: 1,038 Publications with 32,678 References.
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#### Latest Issues

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#### Authors

 56 Liu, Gui-Rong 13 Zhang, GuiYong 12 Nguyen-Thoi, Trung 11 Cui, Xiangyang 11 Han, Xu 11 Li, Guangyao 11 Wan, Decheng 10 Gu, Yuantong 8 Liu, Moubin 7 Li, Wei 7 Ma, Guowei 7 Rabczuk, Timon 7 Zang, Mengyan 7 Zong, Zhi 6 Behl, Ramandeep 6 Chen, Yizhou 6 Kanok-Nukulchai, Worsak 6 Nguyen-Xuan, Hung 6 Sibanda, Precious 6 Tang, Dalin 6 Vo-Duy, Trung 5 Chai, Yingbin 5 Chen, Mengcheng 5 Li, Eric 5 Motsa, Sandile Sydney 5 Niu, Ruiping 5 Tounsi, Abdelouahed 5 Xu, Xu 5 Yüzbaşı, Şuayip 5 Zheng, Hong 4 Argyros, Ioannis Konstantinos 4 Chen, Jian 4 Civalek, Ömer 4 Gravvanis, George A. 4 Ho-huu, Vinh 4 Onishi, Yuki 4 Qamar, Shamsul 4 Shao, Jiaru 4 Wang, Guangyu 4 Wang, Jianhua 4 Wang, Lifeng 4 Wang, Zhongxian 4 Xiao, Yihua 4 Yao, Jianyao 4 Zhang, Zhiqian 3 Ang, Kok Keng 3 Chen, Lei 3 Chen, Zhen 3 De, Suvranu 3 Dong, Xiangwei 3 Er, Guokang 3 Feng, Xinlong 3 Filelis-Papadopoulos, Christos K. 3 Gao, Liang 3 Gao, Xiaowei 3 Ghoreishi, Farideh 3 Gupta, Dharmendra Kumar 3 He, Yinnian 3 He, Zhicheng 3 Hori, Muneo 3 Houari, Mohammed Sid Ahmed 3 Hu, Ning 3 Hu, Xuqu 3 Iu, Vai Pan 3 Jiang, Chao 3 Jiang, Chen 3 Kadioglu, Samet Y. 3 Le Van Canh 3 Li, Bao 3 Li, Gaoyang 3 Li, Hongying 3 Li, Xiaolin 3 Li, Zengliang 3 Liu, Jie 3 Liu, Youjun 3 Lou, Jing 3 Luong, van Hai 3 Mao, Boyan 3 Markou, George A. 3 Mondal, Sabyasachi 3 Natarajan, Sundararajan 3 Noor, Muhammad Aslam 3 Ogino, Masao 3 Okuda, Hiroshi 3 Oñate Ibáñez de Navarra, Eugenio 3 Panda, Subrata Kumar 3 Papadrakakis, Manolis 3 Qiao, Aike 3 Rębielak, Janusz 3 Shang, Zhi 3 Sharma, Janak Raj 3 Shioya, Ryuji 3 Siraj-ul-Islam 3 Sze, Kam-Yim 3 Tran, Minh Thi 3 Turkyilmazoglu, Mustafa 3 Wang, Dongdong 3 Wang, Wenxin 3 Warnecke, Gerald G. 3 Wu, Fei ...and 2,030 more Authors
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#### Fields

 526 Mechanics of deformable solids (74-XX) 523 Numerical analysis (65-XX) 282 Fluid mechanics (76-XX) 62 Classical thermodynamics, heat transfer (80-XX) 50 Partial differential equations (35-XX) 44 Operations research, mathematical programming (90-XX) 43 Biology and other natural sciences (92-XX) 32 Geophysics (86-XX) 30 Mechanics of particles and systems (70-XX) 25 Computer science (68-XX) 19 Optics, electromagnetic theory (78-XX) 18 Statistics (62-XX) 15 Ordinary differential equations (34-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 15 Statistical mechanics, structure of matter (82-XX) 14 Systems theory; control (93-XX) 12 Integral equations (45-XX) 10 General and overarching topics; collections (00-XX) 9 Information and communication theory, circuits (94-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Approximations and expansions (41-XX) 6 Probability theory and stochastic processes (60-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Quantum theory (81-XX) 3 Operator theory (47-XX) 2 Mathematical logic and foundations (03-XX) 2 Measure and integration (28-XX) 1 History and biography (01-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

597 Publications have been cited 2,934 times in 1,798 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
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
Edge-based smoothed point interpolation methods. Zbl 1264.74284
Liu, G. R.; Zhang, G. Y.
2008
Generalized finite element methods – main ideas, results and perspective. Zbl 1081.65107
Babuška, Ivo; Banerjee, Uday; Osborn, John E.
2004
On G space theory. Zbl 1264.74266
Liu, G. R.
2009
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
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 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
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
Further investigation of element-free Galerkin method using moving Kriging interpolation. Zbl 1179.74182
Tongsuk, P.; Kanok-Nukulchai, W.
2004
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
Interval and subinterval analysis methods of the structural analysis and their error estimations. Zbl 1198.65088
Zhou, Y. T.; Jiang, C.; Han, X.
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
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
An immersed smoothed finite element method for fluid–structure interaction problems. Zbl 1245.74012
Zhang, Zhi-Qian; Yao, Jianyao; Liu, G. R.
2011
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
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
Semilocal convergence of a Stirling-like method in Banach spaces. Zbl 1267.65057
Parhi, S. K.; Gupta, D. K.
2010
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
Meshfree methods: a comprehensive review of applications. Zbl 1404.74199
Garg, Sahil; Pant, Mohit
2018
Spectral collocation method for multi-order fractional differential equations. Zbl 1359.65213
Ghoreishi, F.; Mokhtary, P.
2014
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
Three-dimensional penetration simulation using smoothed particle hydrodynamics. Zbl 1257.74117
Zhou, C. E.; Liu, G. R.; Lou, K. Y.
2007
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
Free vibration analysis of Timoshenko beams and Mindlin plates by radial basis functions. Zbl 1189.74047
Ferreira, A. J. M.
2005
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
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
S-FEM for fracture problems, theory, formulation and application. Zbl 1359.74025
Liu, Gui Rong; Chen, Lei; Li, Ming
2014
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
Numerical solution for hyperbolic conservative two-phase flow equations. Zbl 1198.76078
Zeidan, D.; Slaouti, A.; Romenski, E.; Toro, E. F.
2007
Numerical multistep approach for solving fractional partial differential equations. Zbl 1404.65210
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
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
A generalized and efficient method for finite cover generation in the numerical manifold method. Zbl 1359.65283
Cai, Yongchang; Zhuang, Xiaoying; Zhu, Hehua
2013
A partitioned implicit coupling strategy for incompressible flow past an oscillating cylinder. Zbl 1359.76080
He, Tao
2015
Derivation of particular solutions using Chebyshev polynomial based functions. Zbl 1198.65245
Chen, C. S.; Lee, Sungwook; Huang, C.-S.
2007
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
On the convergence analysis of the spline collocation method for system of integral algebraic equations of index-2. Zbl 1360.65306
2012
Higher-order parameter uniform convergent schemes for Robin type reaction-diffusion problems using adaptively generated grid. Zbl 1359.65123
Das, Pratibhamoy; Natesan, Srinivasan
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
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
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
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
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
A hybrid smoothed finite element method (H-SFEM) to solid mechanics problems. Zbl 1359.74453
Xu, Xu; Gu, Yuantong; Liu, Guirong
2013
Three-dimensional weakly nonlinear shallow water waves regime and its traveling wave solutions. Zbl 1404.76052
2018
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
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
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
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
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
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
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
The numerical manifold method: a review. Zbl 1267.74129
Ma, Guowei; An, Xinmei; He, Lei
2010
A complex variable meshless manifold method for fracture problems. Zbl 1267.74124
Gao, Hongfen; Cheng, Yumin
2010
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
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
A preconditioned AOR iterative method for the absolute value equations. Zbl 1404.65052
Li, Cui-Xia
2017
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
On partitions of unity property of nodal shape functions: rigid-body-movement reproduction and mass conservation. Zbl 1359.65261
Liu, G. R.
2016
Mathematical basis of $$G$$ spaces. Zbl 1359.46024
Chen, Meng; Li, Ming; Liu, G. R.
2016
A comparison between the NMM and the XFEM in discontinuity modeling. Zbl 1359.74392
An, Xinmei; Fu, Guoyang; Ma, Guowei
2012
Singular boundary method for various exterior wave applications. Zbl 1360.65298
Fu, Zhuo-Jia; Chen, Wen; Lin, Ji; Cheng, Alexander H.-D.
2015
An enhancement of finite element method with moving Kriging shape functions. Zbl 1137.74306
Plengkhom, K.; Kanok-Nukulchai, W.
2005
A wavelet Taylor-Galerkin method for parabolic and hyperbolic partial differential equations. Zbl 1189.65226
Kumar, B. V. Rathish; Mehra, Mani
2005
A hybrid reliability-based design optimization approach with adaptive chaos control using Kriging model. Zbl 1359.74348
Li, Gang; Meng, Zeng; Hao, Peng; Hu, Hao
2016
XFEM with smoothing technique for static fracture mechanics in three-dimension. Zbl 1359.74416
Jiang, Yong; Li, Eric
2016
Coupled analysis of structural-acoustic problems using the cell-based smoothed three-node Mindlin plate element. Zbl 1359.74409
Gong, Z. X.; Chai, Y. B.; Li, W.
2016
Numerical simulation of violent impinging jet flows with improved SPH method. Zbl 1359.76101
Shao, J. R.; Li, S. M.; Liu, M. B.
2016
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
Numerical simulation of ballast water by SPH method. Zbl 1359.76238
Yang, Xiufeng; Peng, Shiliu; Liu, Moubin; Shao, Jiaru
2012
The boundary element method. Zbl 1359.65281
Mukherjee, Subrata; Liu, Yijun
2013
A modified triangulation algorithm tailored for the smoothed finite element method (S-FEM). Zbl 1359.65260
Li, Y.; Li, Ming; Liu, G. R.
2014
Some Newton-type iterative methods with and without memory for solving nonlinear equations. Zbl 1359.65076
Wang, Xiaofeng; Zhang, Tie
2014
On some highly efficient derivative free methods with and without memory for solving nonlinear equations. Zbl 1360.65145
Sharma, J. R.; Gupta, Puneet
2015
On some enrichments of reproducing kernel particle method. Zbl 1179.74184
Zhou, J. X.; Wang, X. M.; Zhang, Z. Q.; Zhang, L.
2004
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
Fitted finite difference method for third order singularly perturbed delay differential equations of convection diffusion type. Zbl 07074134
Mahendran, R.; Subburayan, V.
2019
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
An enriched edge-based smoothed FEM for linear elastic fracture problems. Zbl 1404.74177
Yang, Yongtao; Zheng, Hong; Du, Xiuli
2017
Solution of initial and boundary value problems by an effective accurate method. Zbl 1404.65079
Turkyilmazoglu, Mustafa
2017
Discontinuous deformation analysis based on variational inequality theory. Zbl 1451.74181
Jiang, Wei; Zheng, Hong
2011
Parabolic partial differential equations with nonlocal initial and boundary values. Zbl 1359.65211
Turkyilmazoglu, M.
2015
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
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
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
Reduced-order modeling based on hybrid snapshot simulation. Zbl 07342028
Bai, Feng; Wang, Yi
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
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
A blended compact difference (BCD) method for solving 3D convection-diffusion problems with variable coefficients. Zbl 07205477
Ma, Tingfu; Ge, Yongbin
2020
A computational framework for design and optimization of flexoelectric materials. Zbl 1466.74007
Ghasemi, Hamid; Park, Harold S.; Alajlan, Naif; Rabczuk, Timon
2020
Dispersion reduction for the wave propagation problems using a coupled “FE-meshfree” triangular element. Zbl 07342702
Chai, Yingbin; You, Xiangyu; Li, Wei
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
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
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 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 modified VIM for certain type of the nonlinear two-point boundary value problems. Zbl 07136601
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
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
A hybrid framework of efficient multi-objective optimization of stiffened shells with imperfection. Zbl 07146449
Chen, Hanshu; Meng, Zeng; Zhou, Huanlin
2020
Element-quality-based stiffening for the pseudoelastic mesh-moving technique. Zbl 07146450
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 07146451
Ji, Shunying; Wang, Shuailin
2020
An improvement to exact reanalysis algorithm for local non-topological structural modifications. Zbl 07146452
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 07146453
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 07146454
Bao, Yangjuan; Huang, Yu; Liu, G. R.; Wang, Guangyu
2020
Coupling of finite element and meshfree method for structure mechanics application: a review. Zbl 07146455
Rohit, Gaurang R.; Prajapati, Jagdish M.; Patel, Vikram B.
2020
Design of high altitude propeller using multilevel optimization. Zbl 07146459
Liu, Xinqiang; He, Weiliang; Wei, Fengmei
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
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
Numerical model of time-dependent gas flows through bed of granular phase change material. Zbl 07205465
Lutsenko, Nickolay A.; Fetsov, Sergey S.
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
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
Reliability-based design optimization for design problems with random fuzzy and interval uncertainties. Zbl 07205473
Zhang, Li-Xiang; Meng, Xin-Jia; Zhang, He
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
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
Examples of applications of two-stage method in calculations of statically indeterminate trusses. Zbl 1469.70006
Rȩbielak, Janusz
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
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
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
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
Probability analysis of a perturbed epidemic system with relapse and cure. Zbl 07136610
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 mesh refinement algorithm for singularly perturbed boundary and interior layer problems. Zbl 07336560
Dubey, Ritesh Kumar; Gupta, Vikas
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
A comparative study of two families of higher-order accurate time integration algorithms. Zbl 07336580
Kim, Wooram; Lee, Jin Ho
2020
Local and parallel finite element algorithms for the Stokes equations with nonlinear slip boundary conditions. Zbl 07336582
Zhou, Kangrui; Shang, Yueqiang
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
Legendre collocation method to solve the Riccati equations with functional arguments. Zbl 07342685
Yüzbaşı, Şuayip; Yıldırım, Gamze
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
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
Fitted finite difference method for third order singularly perturbed delay differential equations of convection diffusion type. Zbl 07074134
Mahendran, R.; Subburayan, V.
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
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 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
Noniterative integration algorithms with controllable numerical dissipations for structural dynamics. Zbl 07086729
Li, Jinze; Yu, Kaiping
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
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
On the stability of multi-step finite-difference-based lattice Boltzmann schemes. Zbl 1404.76202
Krivovichev, Gerasim V.; Mikheev, Sergey A.
2019
Computationally efficient and robust nonlinear 3D cyclic modeling of RC structures through a hybrid finite element model (HYMOD). Zbl 1404.74149
Markou, George; Mourlas, Christos; Papadrakakis, Manolis
2019
Numerical simulation of water entry with improved SPH method. Zbl 1404.76208
Shao, J. R.; Yang, Y.; Gong, H. F.; Liu, M. B.
2019
Multiphase Godunov-type smoothed particle hydrodynamics method with approximate Riemann solvers. Zbl 1404.76199
Cai, Zhi Wen; Zong, Zhi; Chen, Zhen; Zhou, Li; Tian, Chao
2019
A method for the numerical solution of a boundary value problem for a linear differential equation with interval parameters. Zbl 07086733
Gasilov, Nizami A.; Kaya, Müjdat
2019
Cell- and node-based smoothing MITC3-finite elements for static and free vibration analysis of laminated composite and functionally graded plates. Zbl 07103138
Nguyen, Trung-Kien; Nguyen, Van-Hau; Chau-Dinh, Thanh
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
Numerical solution of bioheat transfer problems with transient blood temperature. Zbl 07072974
Liu, Kuo-Chi; Tu, Fong-Jou
2019
Three-dimensional finite element model to study effect of RyR calcium channel, ER leak and SERCA pump on calcium distribution in oocyte cell. Zbl 1404.80014
Naik, Parvaiz Ahmad; Pardasani, Kamal Raj
2019
A space-time discontinuous Galerkin spectral element method for nonlinear hyperbolic problems. Zbl 1404.65200
Pei, Chaoxu; Sussman, Mark; Hussaini, M. Yousuff
2019
Semi-numerical, semi-analytical approximations of the Rayleigh equation for gas-filled hyper-spherical bubble. Zbl 1404.76264
Qin, Yupeng; Wang, Zhen; Zou, Li; He, Mingfeng
2019
SPH method with space-based variable smoothing length and its applications to free surface flow. Zbl 1404.76209
Shi, Wenkui; Chen, Jianqiang; Shen, Yanming; Jiang, Yi
2019
Uncertainty propagation analysis of T/R modules. Zbl 07086724
Wang, Z. H.; Jiang, C.; Ruan, X. X.; Zhang, Y. Q.; Huang, Z. L.; Wang, C. S.; Fang, T.
2019
Performance evaluation of numerical finite element coupled algorithms for structure-electric interaction analysis of MEMS piezoelectric actuator. Zbl 07086725
Ramegowda, Prakasha Chigahalli; Ishihara, Daisuke; Niho, Tomoya; Horie, Tomoyoshi
2019
Cell-based smoothed finite element method for the intensity factors of piezoelectric bimaterials with interfacial crack. Zbl 07086726
Zhou, Liming; Li, Ming; Zhao, Hongwei; Tian, Weijun
2019
Reliability-based design optimization using step length adjustment algorithm and sequential optimization and reliability assessment method. Zbl 07086727
Yi, Ping; Xie, Dongchi; Zhu, Zuo
2019
A vectorized regularization method for multivalued parameters identification. Zbl 07086728
Ellabib, Abdellatif; Ouakrim, Youssef
2019
Discontinuous Legendre wavelet element method for reaction-diffusion equation from mathematical chemistry. Zbl 07086731
Zheng, Xiaoyang; Wei, Zhengyuan
2019
A GPU-accelerated TLSPH algorithm for 3D geometrical nonlinear structural analysis. Zbl 07086732
He, Jiandong; Lei, Juanmian
2019
An out-of-core eigen-solver with OpenMP parallel scheme for large spare damped system. Zbl 07086735
Ju, S. H.; Hsu, H. H.
2019
Structural optimization and reliability analysis of automotive composite bumper against low-velocity longitudinal and corner pendulum impacts. Zbl 07103129
Duan, S. Y.; Han, X.; Liu, G. R.
2019
A hybrid method for density-related topology optimization. Zbl 07103131
Xiao, Mi; Chu, Sheng; Gao, Liang; Li, Hao
2019
Local convergence of a family of iterative methods with sixth and seventh order convergence under weak conditions. Zbl 07103135
Liu, Tianbao; Qin, Xiwen; Wang, Peng
2019
A stabilization method of F-barES-FEM-T4 for dynamic explicit analysis of nearly incompressible materials. Zbl 07103136
Iida, Ryoya; Onishi, Yuki; Amaya, Kenji
2019
Ultrasound-magnetic resonance imaging fusion scheme based on non-negative matrix factorization and dual modality contrast agent. Zbl 07043015
Hou, Mo; Yang, Maoyun; Yang, Ruibo; Ren, Shijin; Wang, Shumei; Wang, Nana; Xu, Bin; Yu, Wenhua
2019
Simulation of ceramic grinding mechanism based on discrete element method. Zbl 07072978
Tan, Yuanqiang; Zhang, Cong; Jiang, Shengqiang; Feng, Y. T.
2019
Numerical simulation of three-dimensional violent free surface flows by GPU-based MPS method. Zbl 07072981
Chen, Xiang; Wan, Decheng
2019
Generalized mass-redistributed smoothed finite element method (MR-SFEM) for acoustic and acoustic-structural interaction problems. Zbl 07072985
Hao, Y. D.; Li, G. Y.; Nie, X.; Hu, Z. H.; Yao, W.
2019
3D adaptive combined DE/FE algorithm for analyzing impact fracture of laminated glass. Zbl 07072988
Xu, Wei; Zang, Mengyan; Sakamoto, Jiro; Zhang, Shupei
2019
An edge-based smoothed discrete shear gap method for static and free vibration analyses of FG-CNTRC plates. Zbl 07072989
Nguyen-Quoc, T.; Nguyen-Hoai, S.; Mai-Duc, D.
2019
Numerical study on ship motion fully coupled with LNG tank sloshing in CFD method. Zbl 07074000
Zhuang, Yuan; Wan, Decheng
2019
Simple method of approximate calculation of statically indeterminate trusses. Zbl 07074004
Rębielak, Janusz
2019
Topology optimization of the interior structure of blades with an outer surface determined through aerodynamic design. Zbl 07074005
McClanahan, Dustin R.; Liu, G. R.; Turner, Mark G.; Anantharaman, Devanathan
2019
Torsional waves in a fiber composite medium at a loosely bonded interface constrained between dry sandy layer and gravitating poroelastic substrate. Zbl 07074008
Gupta, Shishir; Kundu, Santimoy; Pati, Prasenjit
2019
Discrete particle methods for simulating quasi-static load and hypervelocity impact phenomena. Zbl 07074127
Steinhauser, Martin O.; Watson, Erkai
2019
ICCM2016: the implementation of two-dimensional multi-block lattice Boltzmann method on GPU. Zbl 07074129
Zhang, Ya; Pan, Guang; Huang, Qiaogao
2019
HDMR-based model update in structural damage identification. Zbl 07074131
Naveen, B. O.; Balu, A. S.
2019
Using high performance computing for liquefaction hazard assessment with statistical soil models. Zbl 07074132
Chen, Jian; Takeyama, Tomohide; O-Tani, Hideyuki; Fujita, Kohei; Motoyama, Hiroki; Hori, Muneo
2019
Efficient family of sixth-order methods for nonlinear models with its dynamics. Zbl 07074135
Behl, Ramandeep; Maroju, Prashanth; Motsa, S. S.
2019
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#### Cited by 2,956 Authors

 134 Liu, Gui-Rong 40 Oñate Ibáñez de Navarra, Eugenio 38 Nguyen-Thoi, Trung 36 Zhang, GuiYong 30 Nguyen-Xuan, Hung 24 Dehghan Takht Fooladi, Mehdi 24 He, Zhicheng 22 Idelsohn, Sergio Rodolfo 21 Abbaszadeh, Mostafa 21 Cui, Xiangyang 21 Li, Guangyao 20 Han, Xu 19 Li, Eric 18 Li, Wei 16 Chai, Yingbin 16 Rabczuk, Timon 15 Chen, Lei 15 Düster, Alexander 15 Li, Xiaolin 15 Zheng, Hong 14 Chen, Ching-Shyang 14 Zhang, Zhiqian 13 Argyros, Ioannis Konstantinos 13 Bui, Tinh Quoc 13 Gu, Yuantong 13 Niu, Ruiping 12 Hu, Dean 12 Phung-Van, P. 12 Xu, Xu 11 George, Santhosh 11 Rank, Ernst 11 Zhong, Zhihua 10 Belinha, Jorge 10 Jiang, Chao 10 Jiang, Chen 10 Mohebbi, Akbar 9 Fan, Chia-Ming 9 Liu, Chein-Shan 9 Macías-Díaz, Jorge Eduardo 9 Mokhtary, Payam 9 Yang, Gang 9 Zhou, Liming 8 Babuška, Ivo 8 Bordas, Stéphane Pierre Alain 8 Cheng, Ai Guo 8 Kollmannsberger, Stefan 8 Lin, Ji 8 Natal Jorge, Renato Manuel 8 Rossi, Riccardo 8 Siraj-ul-Islam 8 Zong, Zhi 7 Al-Smadi, Mohammed H. 7 Dinis, Lúcia M. J. S. 7 Gao, Xiaowei 7 Gu, Yan 7 He, Tao 7 Liu, Jie 7 Liu, Moubin 7 Natarajan, Sundararajan 7 Ren, Shuhui 7 Roul, Pradip 7 Thai, Chien Hoang 7 Yang, Yongtao 7 Zang, Mengyan 7 Zeidan, Dia 7 Zhang, Chuanzeng 6 Carbonell, Josep Maria 6 Duczek, Sascha 6 Duressa, Gemechis File 6 Franci, Alessandro 6 Fu, Zhuojia 6 Gong, Zhixiong 6 Hao, Peng 6 Heydari, Mohammad Hossien 6 Hon, Yiu-Chung 6 Kumar, Abhishek 6 Li, Tianyun 6 Ling, Leevan 6 Nilam, Murray E. Alexander 6 Ruess, Martin 6 Tang, Qian 6 Vo-Duy, Trung 6 Wang, Chong 6 Wang, Fajie 6 Wang, Lei 6 Xu, George X. 6 Yao, Lingyun 6 Yoshimura, Shinobu 6 Yue, Junhong 6 Zeng, Kaiyang 5 Agarwal, Ravi P. 5 Azegami, Hideyuki 5 Chen, Jian 5 Chen, Wen 5 Dangal, Thir 5 Das, Pratibhamoy 5 Ferreira, António Joaquim Mendes 5 Gabbert, Ulrich 5 Gao, Guangjun 5 Garcia-Espinosa, Julio ...and 2,856 more Authors
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#### Cited in 190 Journals

 328 International Journal of Computational Methods 229 Engineering Analysis with Boundary Elements 189 Computer Methods in Applied Mechanics and Engineering 80 Computational Mechanics 73 International Journal for Numerical Methods in Engineering 68 Applied Mathematical Modelling 65 Computers & Mathematics with Applications 51 Applied Mathematics and Computation 44 Mathematical Problems in Engineering 40 Journal of Computational Physics 38 Journal of Computational and Applied Mathematics 30 Acta Mechanica 24 Computers and Fluids 24 Applied Numerical Mathematics 22 Computational and Applied Mathematics 18 Inverse Problems in Science and Engineering 16 Numerical Algorithms 16 European Journal of Mechanics. A. Solids 15 Journal of Scientific Computing 13 Communications in Computational Physics 12 Advances in Applied Mathematics and Mechanics 10 Mathematics and Computers in Simulation 10 International Journal of Computer Mathematics 8 Advances in Computational Mathematics 8 Archives of Computational Methods in Engineering 8 Journal of Applied Mathematics and Computing 8 Advances in Difference Equations 7 International Journal for Numerical Methods in Fluids 7 Journal of Mathematical Chemistry 7 Acta Mechanica Sinica 7 International Journal of Applied and Computational Mathematics 6 Chaos, Solitons and Fractals 6 Numerische Mathematik 6 Applied Mathematics Letters 6 European Journal of Mechanics. B. Fluids 6 International Journal of Biomathematics 5 Journal of Engineering Mathematics 5 Journal of Mathematical Analysis and Applications 5 Meccanica 5 SIAM Journal on Numerical Analysis 5 Differential Equations and Dynamical Systems 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 Applicable Analysis 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Japan Journal of Industrial and Applied Mathematics 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 Structural and Multidisciplinary Optimization 4 International Journal of Structural Stability and Dynamics 3 International Journal of Heat and Mass Transfer 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 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 2 International Journal of Solids and Structures 2 Journal of Fluid Mechanics 2 Journal of Mathematical Physics 2 Mathematical Biosciences 2 Physica A 2 Calcolo 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 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 Difference Equations and Applications 2 Journal of Vibration and Control 2 Mathematics and Mechanics of Solids 2 Nonlinear Dynamics 2 Discrete Dynamics in Nature and Society 2 Computational Geosciences 2 Optimization and Engineering 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Mathematical Modelling and Analysis 2 Multiscale Modeling & Simulation 2 Mediterranean Journal of Mathematics 2 Optimization Letters 2 Mathematical Modelling of Natural Phenomena 2 International Journal for Computational Methods in Engineering Science and Mechanics 2 Asian-European Journal of Mathematics 2 International Journal of Differential Equations 2 Journal of Mathematics and Computer Science. JMCS 2 Axioms 2 Mathematical Sciences 2 AMM. Applied Mathematics and Mechanics. (English Edition) ...and 90 more Journals
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#### Cited in 45 Fields

 1,113 Numerical analysis (65-XX) 827 Mechanics of deformable solids (74-XX) 426 Fluid mechanics (76-XX) 274 Partial differential equations (35-XX) 74 Ordinary differential equations (34-XX) 70 Classical thermodynamics, heat transfer (80-XX) 64 Biology and other natural sciences (92-XX) 41 Operations research, mathematical programming (90-XX) 32 Calculus of variations and optimal control; optimization (49-XX) 31 Integral equations (45-XX) 29 Computer science (68-XX) 26 Geophysics (86-XX) 25 Systems theory; control (93-XX) 23 Approximations and expansions (41-XX) 21 Optics, electromagnetic theory (78-XX) 21 Statistical mechanics, structure of matter (82-XX) 20 Operator theory (47-XX) 18 Real functions (26-XX) 18 Mechanics of particles and systems (70-XX) 17 Probability theory and stochastic processes (60-XX) 17 Statistics (62-XX) 12 Dynamical systems and ergodic theory (37-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 8 Information and communication theory, circuits (94-XX) 5 Potential theory (31-XX) 5 Integral transforms, operational calculus (44-XX) 5 Quantum theory (81-XX) 4 Combinatorics (05-XX) 4 Number theory (11-XX) 4 Special functions (33-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Difference and functional equations (39-XX) 3 Functional analysis (46-XX) 2 Mathematical logic and foundations (03-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Convex and discrete geometry (52-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX)