## Applied Mathematical Modelling

### Simulation and Computation for Engineering and Environmental Systems

 Short Title: Appl. Math. Modelling Publisher: Elsevier, New York, NY ISSN: 0307-904X Online: http://www.sciencedirect.com/science/journal/0307904X
 Documents Indexed: 8,750 Publications (since 1976) References Indexed: 8,553 Publications with 265,418 References.
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### Authors

 32 Jaber, Mohamad Y. 31 Turner, Ian William 26 Ke, Jauchuan 23 Ai, Zhiyong 23 Liu, Fawang 22 Brebbia, Carlos Alberto 21 Dehghan Takht Fooladi, Mehdi 21 Lü, Zhenzhou 21 Maiti, Manoranjan 20 Fletcher, David F. 19 Feng, Enmin 19 Ramos, Juan I. 19 Tavakkoli-Moghaddam, Reza 17 Jolai, Fariborz 17 Teo, Kok Lay 16 Cleary, Paul W. 16 Machado, José António Tenreiro 16 Shieh, Leang-San 16 Wang, Jibo 14 Fung, Rongfong 14 Sladek, Jan 14 Sladek, Vladimir 14 Wang, Xi 14 Whalley, Richard D. 13 Hosseinzadeh Lotfi, Farhad 13 Malmborg, Charles J. 12 Cárdenas-Barrón, Leopoldo Eduardo 12 Feng, Xinlong 12 Huang, Ting-Zhu 12 Jahanshahloo, Gholam Reza 12 Li, Xiaolin 12 Liu, Chongyang 12 Qin, Qinghua 12 Tsai, Jason Sheng-Hong 12 Wang, Kuo-Hsiung 11 Chen, Lingen 11 Cross, Mark 11 Dai, Hongliang 11 Fu, Chuli 11 Qiu, Zhiping 11 Salarieh, Hassan 11 Segall, Richard S. 11 Yang, Jie 11 Zhou, Ding 10 Huang, Lihong 10 Lee, Wen-Chiung 10 Sun, Fengrui 10 Wang, Jianjun 10 Zhang, Chuanzeng 10 Zheng, Liancun 10 Zhong, Shou-Ming 9 Akbarov, Surkay D. 9 Ansari, Reza 9 Bashiri, Mahdi 9 Chung, Kun-Jen 9 Davis, Robert P. 9 Gong, Zhaohua 9 Huang, Xue 9 Lesnic, Daniel 9 Liu, Sanyang 9 Liu, Sifeng 9 Mai-Duy, Nam 9 Marchi, Carlos Henrique 9 Vahdani, Behnam 9 Wang, Ke 9 Wang, Xiaojun 9 Wu, Di 9 Xiu, Zhilong 9 Xu, Dehua 9 Yin, Yunqiang 9 Zhao, Xile 8 Abo-Dahab, Sayed M. 8 Alasty, Aria 8 Attia, Hazem Ali 8 Bhrawy, Ali Hassan 8 Chang, Ching-Ter 8 Chen, Fuquan 8 Chen, Lansun 8 Deng, Zichen 8 Fatemi Ghomi, Seyyed Mohammad Taghi 8 Friswell, Michael Ian 8 Gao, Liang 8 Greenspan, Donald 8 Hayat, Tasawar 8 Hearn, Clifford J. 8 Hosseini, Seyed Mahmoud 8 Jain, Madhu 8 Korayem, Moharam Habibnejad 8 Li, Rui 8 Li, Yinghui 8 Lin, Luobin 8 Liu, Yankui 8 Pericleous, Koulis A. 8 Prakash, Mahesh 8 Rezazadeh, Ghader 8 Saadatpour, Mohammad Mehdi 8 Salameh, Moueen K. 8 Siraj-ul-Islam 8 Song, Xinyu 8 Tran-Cong, Thanh ...and 15,228 more Authors
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### Fields

 2,374 Mechanics of deformable solids (74-XX) 1,930 Operations research, mathematical programming (90-XX) 1,849 Fluid mechanics (76-XX) 1,445 Numerical analysis (65-XX) 729 Biology and other natural sciences (92-XX) 674 Partial differential equations (35-XX) 616 Ordinary differential equations (34-XX) 518 Classical thermodynamics, heat transfer (80-XX) 511 Systems theory; control (93-XX) 458 Statistics (62-XX) 371 Probability theory and stochastic processes (60-XX) 354 Mechanics of particles and systems (70-XX) 313 Geophysics (86-XX) 303 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 244 Computer science (68-XX) 184 Calculus of variations and optimal control; optimization (49-XX) 164 Dynamical systems and ergodic theory (37-XX) 152 Optics, electromagnetic theory (78-XX) 131 Information and communication theory, circuits (94-XX) 129 Statistical mechanics, structure of matter (82-XX) 94 Integral equations (45-XX) 54 Linear and multilinear algebra; matrix theory (15-XX) 51 Real functions (26-XX) 45 General and overarching topics; collections (00-XX) 39 Mathematical logic and foundations (03-XX) 34 Approximations and expansions (41-XX) 30 Difference and functional equations (39-XX) 28 Combinatorics (05-XX) 20 Integral transforms, operational calculus (44-XX) 17 Potential theory (31-XX) 14 Functions of a complex variable (30-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 11 Astronomy and astrophysics (85-XX) 9 Special functions (33-XX) 9 Quantum theory (81-XX) 8 Differential geometry (53-XX) 7 Operator theory (47-XX) 6 Measure and integration (28-XX) 5 History and biography (01-XX) 5 Convex and discrete geometry (52-XX) 3 Functional analysis (46-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Number theory (11-XX) 2 Relativity and gravitational theory (83-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 General topology (54-XX)

### Citations contained in zbMATH Open

5,999 Publications have been cited 36,971 times in 24,799 Documents Cited by Year
Numerical methods for fractional partial differential equations with Riesz space fractional derivatives. Zbl 1185.65200
Yang, Q.; Liu, Fawang; Turner, I.
2010
Smooth and non-smooth traveling waves in a nonlinearly dispersive equation. Zbl 0985.37072
Li, Jibin; Liu, Zhengrong
2000
Numerical methods for nonlinear partial differential equations of fractional order. Zbl 1133.65116
Odibat, Zaid; Momani, Shaher
2008
Nicholson’s blowflies differential equations revisited: main results and open problems. Zbl 1193.34149
Berezansky, L.; Braverman, E.; Idels, L.
2010
Finite difference approximations for the fractional Fokker-Planck equation. Zbl 1167.65419
Chen, S.; Liu, Fawang; Zhuang, P.; Anh, V.
2009
A new Jacobi operational matrix: an application for solving fractional differential equations. Zbl 1252.34019
Doha, Eid H.; Bhrawy, Ali H.; Ezz-Eldien, S. S.
2012
A compact difference scheme for the fractional diffusion-wave equation. Zbl 1201.65154
Du, R.; Cao, W. R.; Sun, Z. Z.
2010
Efficient Chebyshev spectral methods for solving multi-term fractional orders differential equations. Zbl 1228.65126
Doha, E. H.; Bhrawy, A. H.; Ezz-Eldien, S. S.
2011
Fractional-order Legendre functions for solving fractional-order differential equations. Zbl 1449.33012
Kazem, S.; Abbasbandy, S.; Kumar, Sunil
2013
A new approach to free vibration analysis using boundary elements. Zbl 0545.73078
Nardini, D.; Brebbia, C. A.
1983
An iterative method for solving the generalized coupled Sylvester matrix equations over generalized bisymmetric matrices. Zbl 1185.65054
Dehghan, Mehdi; Hajarian, Masoud
2010
Finite-time synchronization of two different chaotic systems with unknown parameters via sliding mode technique. Zbl 1219.93023
2011
Influence of several factors in the generalized finite difference method. Zbl 0994.65111
Benito, J. J.; Ureña, F.; Gavete, L.
2001
Finite-time stochastic synchronization of complex networks. Zbl 1201.37118
Yang, Xinsong; Cao, Jinde
2010
A new fractional finite volume method for solving the fractional diffusion equation. Zbl 1429.65213
Liu, F.; Zhuang, P.; Turner, I.; Burrage, K.; Anh, V.
2014
Analysis of an iterative algorithm to solve the generalized coupled Sylvester matrix equations. Zbl 1227.65037
Dehghan, Mehdi; Hajarian, Masoud
2011
Generalized shear deformation theory for bending analysis of functionally graded plates. Zbl 1163.74529
Zenkour, Ashraf M.
2006
Hierarchical multi-innovation stochastic gradient algorithm for Hammerstein nonlinear system modeling. Zbl 1349.93391
Ding, Feng
2013
A collocation method based on Bernoulli operational matrix for numerical solution of generalized pantograph equation. Zbl 1273.34082
Tohidi, E.; Bhrawy, A. H.; Erfani, K.
2013
An EOQ model for deteriorating items under supplier credits linked to ordering quantity. Zbl 1046.90004
Chang, Chun-Tao; Ouyang, Liang-Yuh; Teng, Jinn-Tsair
2003
Finite element approximation for a modified anomalous subdiffusion equation. Zbl 1221.65257
Liu, Q.; Liu, Fawang; Turner, I.; Anh, V.
2011
Threshold behaviour of a stochastic SIR model. Zbl 1428.92109
Ji, Chunyan; Jiang, Daqing
2014
On the solution of the non-local parabolic partial differential equations via radial basis functions. Zbl 1168.65403
Tatari, Mehdi; Dehghan, Mehdi
2009
An inverse problem of finding a source parameter in a semilinear parabolic equation. Zbl 0995.65098
Dehghan, Mehdi
2001
Harvesting of a prey-predator fishery in the presence of toxicity. Zbl 1185.91120
Das, Tapasi; Mukherjee, R. N.; Chaudhuri, K. S.
2009
High-order compact solution of the one-dimensional heat and advection-diffusion equations. Zbl 1201.65183
Mohebbi, Akbar; Dehghan, Mehdi
2010
Correlation coefficients of hesitant fuzzy sets and their applications to clustering analysis. Zbl 1349.62293
Chen, Na; Xu, Zeshui; Xia, Meimei
2013
Peakons of the Camassa-Holm equation. Zbl 1018.35061
Liu, Zhengrong; Qian, Tifei
2002
SEIQRS model for the transmission of malicious objects in computer network. Zbl 1185.68042
Mishra, Bimal Kumar; Jha, Navnit
2010
Combined state and least squares parameter estimation algorithms for dynamic systems. Zbl 1449.93254
Ding, Feng
2014
Improvements of generalized finite difference method and comparison with other meshless method. Zbl 1046.65085
Gavete, L.; Gavete, M. L.; Benito, J. J.
2003
Two-stage least squares based iterative estimation algorithm for CARARMA system modeling. Zbl 1438.93228
Ding, Feng
2013
Approximation of function and its derivatives using radial basis function networks. Zbl 1024.65012
Mai-Duy, Nam; Tran-Cong, Thanh
2003
Free vibration characteristics of a functionally graded beam by finite element method. Zbl 1202.74088
Alshorbagy, Amal E.; Eltaher, M. A.; Mahmoud, F. F.
2011
A novel lattice Boltzmann model for the Poisson equation. Zbl 1145.82344
Chai, Zhenhua; Shi, Baochang
2008
A production-inventory model with probabilistic deterioration in two-echelon supply chain management. Zbl 1351.90018
Sarkar, Biswajit
2013
An inventory model for deteriorating items under stock-dependent demand and two-level trade credit. Zbl 1201.90014
Min, Jie; Zhou, Yong-Wu; Zhao, Ju
2010
Two-dimensional state-space discrete models for hyperbolic partial differential equations. Zbl 0529.65039
Marszalek, Wieslaw
1984
Bernoulli wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations. Zbl 1429.65170
Keshavarz, E.; Ordokhani, Y.; Razzaghi, M.
2014
Numerical solution of the system of second-order boundary value problems using the local radial basis functions based differential quadrature collocation method. Zbl 1426.65113
2013
Soliton solutions for the Fitzhugh-Nagumo equation with the homotopy analysis method. Zbl 1167.35395
Abbasbandy, S.
2008
The effects of MHD and temperature dependent viscosity on the flow of non-Newtonian nanofluid in a pipe: analytical solutions. Zbl 1351.76306
Ellahi, R.
2013
Bending analysis of microtubules using nonlocal Euler-Bernoulli beam theory. Zbl 1217.74066
Civalek, Ömer; Demir, Çiğdem
2011
Numerical solution of RLW equation using linear finite elements within Galerkin’s method. Zbl 1016.76046
2002
Modeling incompressible flows using a finite particle method. Zbl 1163.76404
Liu, M. B.; Xie, W. P.; Liu, G. R.
2005
Bias compensation methods for stochastic systems with colored noise. Zbl 1217.93163
Zhang, Yong; Cui, Guimei
2011
A numerical method for solving boundary value problems for fractional differential equations. Zbl 1243.65095
ur Rehman, Mujeeb; Khan, Rahmat Ali
2012
A reliable algorithm of homotopy analysis method for solving nonlinear fractional differential equations. Zbl 1185.65139
Odibat, Zaid; Momani, Shaher; Xu, Hang
2010
Spectral collocation method for linear fractional integro-differential equations. Zbl 1427.65421
Ma, Xiaohua; Huang, Chengming
2014
Maximum likelihood least squares identification for systems with autoregressive moving average noise. Zbl 1242.62105
Wang, Wei; Ding, Feng; Dai, Jiyang
2012
Tau numerical solution of Fredholm integro-differential equations with arbitrary polynomial bases. Zbl 1047.65114
2003
An inventory model under two levels of trade credit and limited storage space derived without derivatives. Zbl 1182.90007
Huang, Yung-Fu
2006
An inverse problem of identifying the coefficient of parabolic equation. Zbl 1145.35468
Yang, Liu; Yu, Jian-Ning; Deng, Zui-Cha
2008
A new analytical modelling for fractional telegraph equation via Laplace transform. Zbl 1427.35327
Kumar, Sunil
2014
Improved results on robust stability of neutral systems with mixed time-varying delays and nonlinear perturbations. Zbl 1228.93091
Lakshmanan, S.; Senthilkumar, T.; Balasubramaniam, P.
2011
Approximation of the RLW equation by the least square cubic $$B$$-spline finite element method. Zbl 0990.65110
Daǧ, Idris; Özer, M. Naci
2001
A predator-prey model with disease in the prey and two impulses for integrated pest management. Zbl 1185.34015
Shi, Ruiqing; Jiang, Xiaowu; Chen, Lansun
2009
Variational iteration method for the Burgers’ flow with fractional derivatives – new Lagrange multipliers. Zbl 1438.76046
Wu, Guo-Cheng; Baleanu, Dumitru
2013
Multiple criteria facility location problems: a survey. Zbl 1193.90143
Farahani, Reza Zanjirani; Steadieseifi, Maryam; Asgari, Nasrin
2010
Existence and globally exponential stability of almost periodic solution for Cohen-Grossberg BAM neural networks with variable coefficients. Zbl 1205.34086
Li, Yongkun; Fan, Xuanlong
2009
The homotopy analysis method for handling systems of fractional differential equations. Zbl 1185.65140
2010
A new method for solving fully fuzzy linear programming problems. Zbl 1205.90310
Kumar, Amit; Kaur, Jagdeep; Singh, Pushpinder
2011
Ranking fuzzy numbers by distance minimization. Zbl 1211.03069
2007
Radial basis function collocation method for the numerical solution of the two-dimensional transient nonlinear coupled Burgers equations. Zbl 1243.76076
Siraj-Ul-Islam; Šarler, Božidar; Vertnik, Robert; Kosec, Gregor
2012
A robust optimization approach to closed-loop supply chain network design under uncertainty. Zbl 1205.90056
Pishvaee, Mir Saman; Rabbani, Masoud; Torabi, Seyed Ali
2011
Almost periodic solutions for impulsive neural networks with delay. Zbl 1136.34332
Stamov, Gani Tr.; Stamova, Ivanka M.
2007
A note on the flow induced by a constantly accelerating plate in an Oldroyd-B fluid. Zbl 1287.76047
Fetecau, Constantin; Prasad, Sharat C.; Rajagopal, K. R.
2007
Delay-dependent stability of neutral systems with time-varying delays using delay-decomposition approach. Zbl 1243.34105
Balasubramaniam, P.; Krishnasamy, R.; Rakkiyappan, Rajan
2012
Discrete grey forecasting model and its optimization. Zbl 1168.62380
Xie, Nai-Ming; Liu, Si-Feng
2009
Tikhonov regularization method for a backward problem for the time-fractional diffusion equation. Zbl 1427.65229
Wang, Jun-Gang; Wei, Ting; Zhou, Yu-Bin
2013
A new and dynamic method for unconstrained minimization. Zbl 0501.65026
Snyman, J. A.
1982
Dynamical complexities in the Leslie-Gower predator-prey model as consequences of the Allee effect on prey. Zbl 1202.34079
González-Olivares, Eduardo; Mena-Lorca, Jaime; Rojas-Palma, Alejandro; Flores, José D.
2011
An adjustable approach to intuitionistic fuzzy soft sets based decision making. Zbl 1205.91052
Jiang, Yuncheng; Tang, Yong; Chen, Qimai
2011
A new formula for fractional integrals of Chebyshev polynomials: application for solving multi-term fractional differential equations. Zbl 1278.65096
Bhrawy, A. H.; Tharwat, M. M.; Yildirim, A.
2013
Static Green’s functions in multilayered half-spaces. Zbl 0896.73002
Pan, Ernian
1997
Parameter estimation for fractional Ornstein-Uhlenbeck processes at discrete observation. Zbl 1225.62116
Xiao, Weilin; Zhang, Weiguo; Xu, Weidong
2011
On the convergence of a conservative numerical scheme for the usual Rosenau-RLW equation. Zbl 1252.65144
Pan, Xintian; Zhang, Luming
2012
Robust finite-time stabilization of uncertain singular Markovian jump systems. Zbl 1252.93130
Zhang, Yingqi; Liu, Caixia; Mu, Xiaowu
2012
Coordinating a supply chain with effort and price dependent stochastic demand. Zbl 1205.90045
He, Yong; Zhao, Xuan; Zhao, Lindu; He, Ju
2009
Control of a novel class of fractional-order chaotic systems via adaptive sliding mode control approach. Zbl 1349.93237
Yin, Chun; Dadras, Sara; Zhong, Shou-Ming; Chen, Yangquan
2013
Single-machine scheduling problems with a learning effect. Zbl 1172.90415
Wu, Chin-Chia; Lee, Wen-Chiung
2008
Dynamic analysis of a fractional order prey-predator interaction with harvesting. Zbl 1438.92066
2013
Analysis of a fully discrete local discontinuous Galerkin method for time-fractional fourth-order problems. Zbl 1427.65267
Wei, Leilei; He, Yinnian
2014
Persistence, extinction and global asymptotical stability of a non-autonomous predator-prey model with random perturbation. Zbl 1254.34074
Liu, Meng; Wang, Ke
2012
Heat transfer in MHD viscoelastic fluid flow over a stretching sheet with variable thermal conductivity, non-uniform heat source and radiation. Zbl 1145.76469
Subhas Abel, M.; Mahesha, N.
2008
Finite iterative solutions to coupled Sylvester-conjugate matrix equations. Zbl 1211.15024
Wu, Ai-Guo; Li, Bin; Zhang, Ying; Duan, Guang-Ren
2011
Higher order finite difference method for the reaction and anomalous-diffusion equation. Zbl 1429.65188
Li, Changpin; Ding, Hengfei
2014
Analysis of a SEIV epidemic model with a nonlinear incidence rate. Zbl 1205.34049
Cai, Li-Ming; Li, Xue-Zhi
2009
Solving a full fuzzy linear programming using lexicography method and fuzzy approximate solution. Zbl 1205.90313
2009
Multicriteria fuzzy decision-making method using entropy weights-based correlation coefficients of interval-valued intuitionistic fuzzy sets. Zbl 1201.91039
Ye, Jun
2010
DEM modelling of industrial granular flows: 3D case studies and the effect of particle shape on hopper discharge. Zbl 1018.76033
Cleary, Paul W.; Sawley, Mark L.
2002
New second derivative multistep methods for stiff systems. Zbl 1101.65078
Hojjati, G.; Ardabili, M. Y. Rahimi; Hosseini, S. M.
2006
On the $$GI/M/1/N$$ queue with multiple working vacations-analytic analysis and computation. Zbl 1167.90441
Banik, A. D.; Gupta, U. C.; Pathak, S. S.
2007
Revised multi-choice goal programming. Zbl 1167.90637
Chang, Ching-Ter
2008
Finite elements and characteristics for some parabolic-hyperbolic problems. Zbl 0505.65055
Bercovier, M.; Pironneau, O.; Sastri, V.
1983
Analysis of an SVEIS epidemic model with partial temporary immunity and saturation incidence rate. Zbl 1243.34068
2012
Global stability of in-host viral models with humoral immunity and intracellular delays. Zbl 1243.34106
Wang, Shifei; Zou, Dingyu
2012
An improved version of the original leap-frog dynamic method for unconstrained minimization: LFOP1(b). Zbl 0548.65046
Snyman, J. A.
1983
Boundary value problems in heat conduction with nonlinear material and nonlinear boundary conditions. Zbl 0475.65078
Bialecki, Ryszard; Nowak, Andrzej Jozef
1981
A finite element approach to Burgers’ equation. Zbl 0476.76054
Caldwell, J.; Wanless, P.; Cook, A. E.
1981
Further enhancement of the particle shifting technique: towards better volume conservation and particle distribution in SPH simulations of violent free-surface flows. Zbl 1481.76162
Lyu, Hong-Guan; Sun, Peng-Nan
2022
Three-dimensional topology optimization of a fluid-structure system using body-fitted mesh adaption based on the level-set method. Zbl 1481.74620
Li, Hao; Kondoh, Tsuguo; Jolivet, Pierre; Furuta, Kozo; Yamada, Takayuki; Zhu, Benliang; Izui, Kazuhiro; Nishiwaki, Shinji
2022
Ensemble learning for remaining fatigue life prediction of structures with stochastic parameters: a data-driven approach. Zbl 1481.74646
Feng, S. Z.; Han, X.; Li, Zhixiong; Incecik, Atilla
2022
On unified framework for continuous-time grey models: an integral matching perspective. Zbl 1481.62066
Wei, Baolei; Xie, Naiming
2022
Coupled orbit-attitude dynamics and trajectory tracking control for spacecraft electromagnetic docking. Zbl 1481.93088
Shi, Keke; Liu, Chuang; Sun, Zhaowei; Yue, Xiaokui
2022
A coupled incompressible SPH-Hamiltonian SPH solver for hydroelastic FSI corresponding to composite structures. Zbl 1481.74155
Khayyer, Abbas; Shimizu, Yuma; Gotoh, Hitoshi; Nagashima, Ken
2021
Numerical solution of time-fractional fourth-order reaction-diffusion model arising in composite environments. Zbl 1481.65196
Nikan, O.; Machado, J. A. Tenreiro; Golbabai, A.
2021
An improved scalar auxiliary variable (SAV) approach for the phase-field surfactant model. Zbl 1481.76088
Yang, Junxiang; Kim, Junseok
2021
Analytical features of the SIR model and their applications to COVID-19. Zbl 1481.92146
Kudryashov, Nikolay A.; Chmykhov, Mikhail A.; Vigdorowitsch, Michael
2021
Vibration isolation and energy harvesting integrated in a Stewart platform with high static and low dynamic stiffness. Zbl 07398232
Lu, Ze-Qi; Wu, Dao; Ding, Hu; Chen, Li-Qun
2021
The scaled boundary finite element method based on the hybrid quadtree mesh for solving transient heat conduction problems. Zbl 1476.80014
Yu, Bo; Hu, Pengmin; Saputra, Albert A.; Gu, Yan
2021
Enhanced nodal gradient finite elements with new numerical integration schemes for 2D and 3D geometrically nonlinear analysis. Zbl 1481.65230
Nguyen, Du Dinh; Nguyen, Minh Ngoc; Duc, Nguyen Dinh; Rungamornrat, Jaroon; Bui, Tinh Quoc
2021
Impact of interfacial imperfections on the reflection and transmission phenomenon of plane waves in a porous-piezoelectric model. Zbl 1481.74380
Singh, Sonam; Singh, A. K.; Guha, Sayantan
2021
Variational iteration and successive approximation methods for a SIR epidemic model with constant vaccination strategy. Zbl 1481.92152
Mungkasi, Sudi
2021
Vibration of viscoelastic axially graded beams with simultaneous axial and spinning motions under an axial load. Zbl 1481.74246
Ebrahimi-Mamaghani, A.; Forooghi, A.; Sarparast, H.; Alibeigloo, A.; Friswell, M. I.
2021
A combined radial basis function and adaptive sequential sampling method for structural reliability analysis. Zbl 1481.62084
Hong, Linxiong; Li, Huacong; Peng, Kai
2021
Hybrid meshless/displacement discontinuity method for FGM Reissner’s plate with cracks. Zbl 1481.74506
Zheng, H.; Sladek, J.; Sladek, V.; Wang, S. K.; Wen, P. H.
2021
The method of fundamental solutions for anisotropic thermoelastic problems. Zbl 1481.74033
Hematiyan, M. R.; Mohammadi, M.; Tsai, Chia-Cheng
2021
Density waves in car-following model for autonomous vehicles with backward looking effect. Zbl 1481.90120
Ma, Minghui; Ma, Guangyi; Liang, Shidong
2021
Generalized semi-analytical solution for coupled multispecies advection-dispersion equations in multilayer porous media. Zbl 1481.76207
Carr, Elliot J.
2021
Enhanced salp swarm algorithm based on firefly algorithm for unrelated parallel machine scheduling with setup times. Zbl 1481.90168
Ewees, Ahmed A.; Al-qaness, Mohammed A. A.; Abd Elaziz, Mohamed
2021
On the existence of optimal shapes in architecture. Zbl 1481.49044
Hinz, Michael; Magoulès, Frédéric; Rozanova-Pierrat, Anna; Rynkovskaya, Marina; Teplyaev, Alexander
2021
Simple and robust element-free Galerkin method with almost interpolating shape functions for finite deformation elasticity. Zbl 1481.74073
Bourantas, George; Zwick, Benjamin F.; Joldes, Grand R.; Wittek, Adam; Miller, Karol
2021
Phytoplankton-zooplankton interaction under environmental stochasticity: survival, extinction and stability. Zbl 1481.92109
2021
On coupling contact analysis of thermoelectric materials. Zbl 1481.74582
Zhou, Y. T.; Tian, X. J.; Li, F. J.
2021
Design of a nonlinear model for the propagation of COVID-19 and its efficient nonstandard computational implementation. Zbl 1481.92158
Rafiq, Muhammad; Macías-Díaz, J. E.; Raza, Ali; Ahmed, Nauman
2021
A linear uncertain pharmacokinetic model driven by Liu process. Zbl 1481.92053
Liu, Zhe; Yang, Xiangfeng
2021
Forecasting the renewable energy consumption of the European countries by an adjacent non-homogeneous grey model. Zbl 1481.91130
Liu, Lianyi; Wu, Lifeng
2021
Hopf bifurcation analysis in a predator-prey model with predator-age structure and predator-prey reaction time delay. Zbl 1481.92125
Zhang, Xiangming; Liu, Zhihua
2021
Allee effect in prey’s growth reduces the dynamical complexity in prey-predator model with generalist predator. Zbl 1481.92114
Sen, Deeptajyoti; Ghorai, S.; Sharma, Swarnali; Banerjee, Malay
2021
An unequal adjacent grey forecasting air pollution urban model. Zbl 1481.91145
Tu, Leping; Chen, Yan
2021
Malaria and COVID-19 co-dynamics: a mathematical model and optimal control. Zbl 1481.92165
Tchoumi, S. Y.; Diagne, M. L.; Rwezaura, H.; Tchuenche, J. M.
2021
Simulations of liquid-vapor water flows with non-condensable gases on the basis of a two-fluid model. Zbl 1481.76241
Hurisse, O.; Quibel, L.
2021
Reliability-based topology optimization for heterogeneous composite structures under interval and convex mixed uncertainties. Zbl 1481.74626
Wang, Lei; Ni, Bowen; Wang, Xiaojun; Li, Zeshang
2021
A widespread interaction between generalist and specialist enemies: the role of intraguild predation and Allee effect. Zbl 1478.92253
Tripathi, Jai Prakash; Mandal, Partha Sarathi; Poonia, Ashish; Bajiya, Vijay Pal
2021
Complex stability boundaries of axially moving beams with interdependent speed and tension. Zbl 07398230
Tang, You-Qi; Zhou, Yuan; Liu, Shuang; Jiang, Shan-Ying
2021
Time-dependent interaction between superstructure, raft and layered cross-anisotropic viscoelastic saturated soils. Zbl 07398237
Ai, Zhi Yong; Chu, Zhong Hao; Cheng, Yi Chong
2021
Globally repetitive learning consensus control of unknown nonlinear multi-agent systems with uncertain time-varying parameters. Zbl 1478.93620
Chen, Jiaxi; Li, Junmin; Yang, Nana
2021
Nonlinear axisymmetric bending analysis of strain gradient thin circular plate. Zbl 07398239
Li, Anqing; Ji, Xue; Zhou, Shasha; Wang, Li; Chen, Jun; Liu, Pengbo
2021
Active learning relevant vector machine for reliability analysis. Zbl 1476.62214
Li, T. Z.; Pan, Q.; Dias, D.
2021
One-dimensional stress-driven nonlocal integral model with bi-Helmholtz kernel: close form solution and consistent size effect. Zbl 07398241
Bian, Pei-Liang; Qing, Hai; Gao, Cun-Fa
2021
Isogeometric analysis for non-classical Bernoulli-Euler beam model incorporating microstructure and surface energy effects. Zbl 07398245
Yin, Shuohui; Deng, Yang; Yu, Tiantang; Gu, Shuitao; Zhang, Gongye
2021
Non-probabilistic polygonal convex set model for structural uncertainty quantification. Zbl 1476.62266
Cao, Lixiong; Liu, Jie; Xie, Ling; Jiang, Chao; Bi, Rengui
2021
Sequential particle filter estimation of a time-dependent heat transfer coefficient in a multidimensional nonlinear inverse heat conduction problem. Zbl 1479.35944
da Silva, W. B.; Dutra, J. C. S.; Kopperschimidt, C. E. P.; Lesnic, D.; Aykroyd, R. G.
2021
The non-linear vibrations of simply supported column loaded by the mass element. Zbl 1481.74317
Uzny, Sebastian; Kutrowski, Łukasz; Osadnik, Michał
2021
A hybrid sensitivity function and Lanczos bidiagonalization-Tikhonov method for structural model updating: application to a full-scale bridge structure. Zbl 1481.74609
2021
New exact solutions for the space-time fractional Kawahara equation. Zbl 1481.35378
Daşcıoğlu, Ayşegül; Çulha Ünal, Sevil
2021
A fast algorithm for semi-analytically solving the homogenization boundary value problem for block locally-isotropic heterogeneous media. Zbl 1481.74636
March, Nathan G.; Carr, Elliot J.; Turner, Ian W.
2021
Adaptive and reversed penalty for analysis of high-dimensional correlated data. Zbl 1481.62040
Yang, Yuehan; Yang, Hu
2021
Nonlinear free and forced vibrations of fractional modeled viscoelastic FGM micro-beam. Zbl 1481.74283
2021
Energy mechanism analysis for chaotic dynamics of gyrostat system and simulation of displacement orbit using COMSOL. Zbl 1481.70093
Qi, Guoyuan; Xu, Lin; Yang, Xiaogang
2021
On the use of reproducing kernel particle finite strip method in the static, stability and free vibration analysis of FG plates with different boundary conditions and diverse internal supports. Zbl 1481.74250
Esfahani, Sadegh Ghamsari; Sarrami-Foroushani, Saeid; Azhari, Mojtaba
2021
Localized boundary knot method for 3D inhomogeneous acoustic problems with complicated geometry. Zbl 1481.65247
Yue, Xingxing; Wang, Fajie; Zhang, Chuanzeng; Zhang, Hongxin
2021
A novel interval dynamic reliability computation approach for the risk evaluation of vibration active control systems based on PID controllers. Zbl 1481.93043
Wang, Lei; Liu, Jiaxiang; Yang, Chen; Wu, Di
2021
Numerical analysis of large deflection of the cantilever beam subjected to a force pointing at a fixed point. Zbl 1481.74476
Zeng, Wenhui; Yan, Junyan; Hong, Yilun; Cheng, Shing Shin
2021
Parameter estimation of fire propagation models using level set methods. Zbl 1481.49035
Alessandri, Angelo; Bagnerini, Patrizia; Gaggero, Mauro; Mantelli, Luca
2021
Applications of the multi-sigmoidal deterministic and stochastic logistic models for plant dynamics. Zbl 1481.92102
Di Crescenzo, Antonio; Paraggio, Paola; Román-Román, Patricia; Torres-Ruiz, Francisco
2021
Numerical solutions for tunnels excavated in strain-softening rock masses considering a combined support system. Zbl 1481.74546
Song, Fei; Rodriguez-Dono, Alfonso
2021
A novel isogeometric topology optimization framework for planar compliant mechanisms. Zbl 1481.74619
Li, Baotong; Ding, Senmao; Guo, Shuzhe; Su, Wenjie; Cheng, Akang; Hong, Jun
2021
Comment on “FPGA realization of fractional order neuron”. Zbl 1481.92025
AbdelAty, A. M.; Fouda, M. E.; Eltawil, A. M.
2021
Dynamic stiffness of three-dimensional anisotropic multi-layered media based on the continued-fraction method. Zbl 1481.74107
Han, Zejun; Yang, Linqing; Fang, Hongyuan; Zhang, Jin
2021
Nonlinear coupling vibrations of graphene composite laminated sheets impacted by particles. Zbl 1481.74326
Wu, Qiliang; Yao, Minghui; Li, Mingyuan; Cao, Dongxing; Bai, Bin
2021
Large deformation analysis of fully incompressible hyperelastic curved beams. Zbl 1481.74074
2021
Double Gaussianization of graph spectra. Zbl 1481.05093
Alhomaidhi, Alhanouf; Al-Thukair, Fawzi; Estrada, Ernesto
2021
Free vibration analysis of a rotating graphene nanoplatelet reinforced pre-twist blade-disk assembly with a setting angle. Zbl 1481.74337
Zhao, Tian Yu; Ma, Yu; Zhang, Hong Yuan; Pan, Hong Gang; Cai, Yi
2021
A novel two-stage framework for reducing ergonomic risks of a mixed-model parallel U-shaped assembly-line. Zbl 1481.90182
2021
A new learning curve with fatigue-dependent learning rate. Zbl 1481.92007
Asadayoobi, N.; Jaber, M. Y.; Taghipour, S.
2021
Atomic orbital search: a novel metaheuristic algorithm. Zbl 1481.68042
Azizi, Mahdi
2021
A two-phase neuro-modal linear method for seismic analysis of structures. Zbl 1481.74531
Shojaei, Iman; Rahami, Hossein
2021
Applying nonlocal strain gradient theory to size-dependent analysis of functionally graded carbon nanotube-reinforced composite nanoplates. Zbl 1481.74315
Thang, Pham Toan; Tran, Phuong; Nguyen-Thoi, T.
2021
The Saint-Venant problem for general anisotropic piezoelectric cylinders with applications to smart metamaterials design. Zbl 1481.74204
Nodargi, Nicola A.; Bisegna, Paolo
2021
An optimization technique for solving a class of nonlinear fractional optimal control problems: application in cancer treatment. Zbl 1481.49037
Hassani, H.; Machado, J. A. Tenreiro; Mehrabi, S.
2021
Multi-scale analysis and Galerkin verification for dynamic stability of axially translating viscoelastic Timoshenko beams. Zbl 1481.74357
Liu, Shuang; Tang, You-Qi; Chen, Ling
2021
Numerical approach for modeling fractional heat conduction in porous medium with the generalized Cattaneo model. Zbl 1481.65150
2021
A novel particle filtering for nonlinear systems with multi-step randomly delayed measurements. Zbl 1481.62069
Chen, Yunqi; Yan, Zhibin; Zhang, Xing
2021
An improved sub-step time-marching procedure for linear and nonlinear dynamics with high-order accuracy and high-efficient energy conservation. Zbl 1481.65109
Wen, Weibin; Deng, Shanyao; Wang, Ningbo; Duan, Shengyu; Fang, Daining
2021
Effect of three-phase-lag model on the analysis of three-dimensional free vibrations of viscothermoelastic solid cylinder. Zbl 1481.74305
Sharma, Dinesh Kumar; Sharma, Mahesh Kumar; Sarkar, Nantu
2021
Optimization of a rainfall dependent model for the seasonal Aedes aegypti integrated control: a case of Lavras/Brazil. Zbl 1481.92121
Vasconcelos, Amália S. V.; Silva, Lillia S. B.; Cardoso, Rodrigo T. N.; Acebal, José L.
2021
Mathematical models for characterizing non-Hertzian contacts. Zbl 1481.74573
2021
Non-Euclidean model for description of residual stresses in planar deformations. Zbl 1481.74022
Liu, Wei; Guzev, Mikhail; Qi, Chengzhi
2021
Chemoimmunotherapy for the treatment of prostate cancer: insights from mathematical modelling. Zbl 1481.92073
Valle, Paul A.; Coria, Luis N.; Carballo, Karla D.
2021
On synergistic co-infection in crop diseases. The case of the maize lethal necrosis disease. Zbl 1481.92086
Chapwanya, M.; Matusse, A.; Dumont, Y.
2021
A heuristic method for the supplier selection and order quantity allocation problem. Zbl 1481.90012
Alejo-Reyes, Avelina; Mendoza, Abraham; Olivares-Benitez, Elias
2021
Spreading and rebound dynamics of sub-millimetre urea-water-solution droplets impinging on substrates of varying wettability. Zbl 1481.76268
Wörner, Martin; Samkhaniani, Nima; Cai, Xuan; Wu, Yanchen; Majumdar, Arijit; Marschall, Holger; Frohnapfel, Bettina; Deutschmann, Olaf
2021
A novel method to generating two-sided class of probability distributions. Zbl 1481.60023
Kharazmi, Omid; Saadati Nik, Ali; Chaboki, Behrang; Cordeiro, Gauss M.
2021
Modeling airborne pathogen transport and transmission risks of SARS-CoV-2. Zbl 1481.92144
Ho, Clifford K.
2021
A lattice Boltzmann modelling of electrohydrodynamic conduction phenomenon in dielectric liquids. Zbl 1481.76291
Wang, Lei; Wei, Zhouchao; Li, Tianfu; Chai, Zhenhua; Shi, Baochang
2021
A time-filtering method for plasma simulation: high bulk conductivity. Zbl 1481.76294
Villa, Andrea; Barbieri, Luca; Malgesini, Roberto; Buccella, Giacomo
2021
Bifurcation analysis of a heterogeneous continuum traffic flow model. Zbl 1481.90121
Ren, Weilin; Cheng, Rongjun; Ge, Hongxia
2021
Modelling and direct numerical simulation of flow and solute dispersion in the spinal subarachnoid space. Zbl 1481.92038
Gutiérrez-Montes, C.; Coenen, W.; Lawrence, J. J.; Martínez-Bazán, C.; Sánchez, A. L.; Lasheras, J. C.
2021
A new Poincaré map for investigating the complex walking behavior of the compass-gait biped robot. Zbl 1481.70032
Znegui, Wafa; Gritli, Hassène; Belghith, Safya
2021
Micro-combustion modelling with RBF-FD: a high-order meshfree method for reactive flows in complex geometries. Zbl 1481.76278
Bayona, Víctor; Sánchez-Sanz, Mario; Fernández-Tarrazo, Eduardo; Kindelan, Manuel
2021
Free vibration response of smart sandwich plates with porous CNT-reinforced and piezoelectric layers. Zbl 1481.74286
2021
Dynamics of perforated nanobeams subject to moving mass using the nonlocal strain gradient theory. Zbl 1481.74423
Abdelrahman, Alaa A.; Esen, Ismail; Özarpa, Cevat; Eltaher, Mohamed A.
2021
In-plane quasi-zero-stiffness vibration isolator using magnetic interaction and cables: theoretical and experimental study. Zbl 1481.70087
Liu, Chaoran; Zhao, Rui; Yu, Kaiping; Liao, Baopeng
2021
An algorithm for matrix recovery of high-loss-rate network traffic data. Zbl 1481.90092
Ming, Zhenyu; Zhang, Liping; Xu, Yanwei; Bakshi, Mayank
2021
Elastic buckling and free vibration analysis of functionally graded Timoshenko beam with nonlocal strain gradient integral model. Zbl 1481.74311
Tang, Yuan; Qing, Hai
2021
Feed-in tariff or tax-rebate regulation? Dynamic decision model for the solar photovoltaic supply chain. Zbl 1481.91134
Xu, Tiantong; Ma, Junhai
2021
A metric approach for scheduling problems with minimizing the maximum penalty. Zbl 1481.90175
Lazarev, Alexander A.; Lemtyuzhnikova, Darya V.; Werner, Frank
2021
The dynamical motion of a gyrostat for the irrational frequency case. Zbl 1481.70034
Amer, T. S.; Galal, A. A.; Abady, I. M.; Elkafly, H. F.
2021
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### Cited by 33,481 Authors

 173 Dehghan Takht Fooladi, Mehdi 111 Hayat, Tasawar 92 Băleanu, Dumitru I. 75 Bhrawy, Ali Hassan 68 Liu, Fawang 64 Al-saedi, Ahmed Eid Salem 64 Ding, Feng 63 Zhong, Shou-Ming 61 Abbaszadeh, Mostafa 54 Ke, Jauchuan 52 Jiang, Daqing 52 Teng, Zhi-dong 51 Cao, Jinde 48 Turner, Ian William 47 Abbasbandy, Saeid 42 Doha, Eid H. 40 Maiti, Manoranjan 38 Cárdenas-Barrón, Leopoldo Eduardo 38 Chen, Wen 37 Gu, Yan 37 Li, Yongkun 37 Ordokhani, Yadollah 36 Hajarian, Masoud 36 Heydari, Mohammad Hossien 35 Elaiw, Ahmed M. 35 Ghayesh, Mergen H. 35 Qin, Qinghua 35 Wang, Jibo 34 Zhang, Chuanzeng 33 Fan, Chia-Ming 32 Huang, Lihong 32 Machado, José António Tenreiro 32 Simos, Theodore E. 31 Chen, Xiaohong 31 Liu, Chein-Shan 31 Teo, Kok Lay 31 Yang, Fan 30 Liu, Zhijun 30 Zenkour, Ashraf M. 29 Liu, Meng 29 Yin, Yunqiang 29 Yüzbaşı, Şuayip 29 Zheng, Liancun 28 Feng, Xinlong 28 Li, Jibin 28 Lin, Ji 28 Ma, Changfeng 28 Razzaghi, Mohsen 28 Sana, Shibsankar 28 Sun, Zhizhong 28 Yuan, Sanling 28 Zhang, Chengjian 27 Benito, Juan José 27 Gavete, Luis 27 Huo, Hai-Feng 27 Jaber, Mohamad Y. 27 Khader, Mohamed M. 27 Li, Xiaolin 27 Liu, Qun 27 Meng, Xinzhu 27 Siraj-ul-Islam 27 Sladek, Jan 27 Sladek, Vladimir 27 Xia, Yonghui 27 Xu, Changjin 27 Zhang, Zizhen 26 de la Sen, Manuel 26 Jiang, Xiaoyun 26 Lesnic, Daniel 26 Li, Xiaoxiao 26 Sarkar, Biswajit 26 Ureña, Francisco 26 Yang, Xinsong 25 Fetecau, Constantin 25 Jain, Madhu 25 Liu, Zhengrong 25 Ma, Junhai 25 Momani, Shaher M. 25 Nguyen Huy Tuan 25 Wang, Hong 25 Xu, Rui 25 Zhang, Qingling 24 Ansari, Reza 24 Ezz-Eldien, Samer S. 24 Feng, Enmin 24 Kar, Samarjit 24 Mohebbi, Akbar 24 Odibat, Zaid M. 24 Shieh, Leang-San 24 Wang, Zhen 24 Xu, Wei 24 Zhang, Tonghua 23 Abd-Elhameed, Waleed Mohamed 23 Kiliçman, Adem 23 Lee, Wen-Chiung 23 Ma, Yuechao 23 Pardalos, Panos M. 23 Samanta, Guru Prasad 23 Taleizadeh, Ata Allah 23 Tavakkoli-Moghaddam, Reza ...and 33,381 more Authors
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### Cited in 741 Journals

 3,451 Applied Mathematical Modelling 1,253 Applied Mathematics and Computation 853 Engineering Analysis with Boundary Elements 637 Mathematical Problems in Engineering 558 Computers & Mathematics with Applications 503 Computer Methods in Applied Mechanics and Engineering 433 Journal of Computational and Applied Mathematics 408 Advances in Difference Equations 404 European Journal of Operational Research 358 Acta Mechanica 352 Chaos, Solitons and Fractals 323 Nonlinear Dynamics 313 Journal of Computational Physics 299 Communications in Nonlinear Science and Numerical Simulation 296 Abstract and Applied Analysis 294 International Journal of Computer Mathematics 287 Discrete Dynamics in Nature and Society 282 Journal of the Franklin Institute 270 Computational and Applied Mathematics 256 International Journal of Applied and Computational Mathematics 253 Mathematics and Computers in Simulation 240 Applied Numerical Mathematics 232 Computers and Fluids 230 Computers & Operations Research 216 European Journal of Mechanics. A. Solids 210 Annals of Operations Research 204 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 186 Journal of Applied Mathematics 177 International Journal of Biomathematics 167 Information Sciences 164 Numerical Algorithms 163 Meccanica 161 International Journal of Systems Science. Principles and Applications of Systems and Integration 153 Journal of Applied Mathematics and Computing 152 Journal of Industrial and Management Optimization 150 Mathematical and Computer Modelling 146 International Journal of Engineering Science 141 Complexity 136 Mathematical Methods in the Applied Sciences 134 Applied Mathematics Letters 134 Soft Computing 130 Computational Mechanics 130 Nonlinear Analysis. Real World Applications 120 Journal of Scientific Computing 117 Opsearch 116 Inverse Problems in Science and Engineering 113 Journal of Fluid Mechanics 113 Journal of Mathematical Analysis and Applications 113 International Journal of Computational Methods 110 Journal of Intelligent and Fuzzy Systems 108 AMM. Applied Mathematics and Mechanics. (English Edition) 107 Physica A 102 International Journal for Numerical Methods in Engineering 93 RAIRO. Operations Research 90 International Journal of Numerical Methods for Heat & Fluid Flow 90 Advances in Mathematical Physics 88 Numerical Methods for Partial Differential Equations 88 Journal of Mathematical Chemistry 86 International Journal of Heat and Mass Transfer 86 International Journal for Numerical Methods in Fluids 82 Mathematical Biosciences and Engineering 81 Asia-Pacific Journal of Operational Research 81 AIMS Mathematics 79 Journal of Engineering Mathematics 74 European Journal of Mechanics. B. Fluids 73 Boundary Value Problems 69 Discrete and Continuous Dynamical Systems. Series B 67 Mathematics and Mechanics of Solids 67 Advances in Applied Mathematics and Mechanics 67 Journal of Applied Analysis and Computation 65 Journal of Function Spaces 64 International Journal of Systems Science 62 Fuzzy Sets and Systems 62 Applied Mathematics and Mechanics. (English Edition) 61 Fractals 60 Archive of Applied Mechanics 58 Journal of Optimization Theory and Applications 57 International Journal of Control 56 Communications in Statistics. Theory and Methods 56 International Journal of Nonlinear Sciences and Numerical Simulation 56 Optimization Letters 56 Symmetry 53 Chaos 52 Applicable Analysis 51 Wave Motion 51 Circuits, Systems, and Signal Processing 51 Differential Equations and Dynamical Systems 50 Discrete and Continuous Dynamical Systems. Series S 49 Journal of Vibration and Control 49 Mathematical Sciences 49 Journal of Mathematics 47 Journal of Statistical Computation and Simulation 47 Communications in Numerical Methods in Engineering 47 Acta Mechanica Sinica 46 Journal of Biological Dynamics 45 ZAMP. Zeitschrift für angewandte Mathematik und Physik 45 Journal of the Egyptian Mathematical Society 45 Fractional Calculus & Applied Analysis 45 Nonlinear Analysis. Hybrid Systems 42 Computational Methods for Differential Equations ...and 641 more Journals
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### Cited in 61 Fields

 6,737 Numerical analysis (65-XX) 4,776 Operations research, mathematical programming (90-XX) 4,224 Partial differential equations (35-XX) 4,192 Mechanics of deformable solids (74-XX) 3,618 Fluid mechanics (76-XX) 3,356 Ordinary differential equations (34-XX) 3,303 Biology and other natural sciences (92-XX) 2,073 Systems theory; control (93-XX) 1,342 Probability theory and stochastic processes (60-XX) 1,274 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1,066 Classical thermodynamics, heat transfer (80-XX) 971 Dynamical systems and ergodic theory (37-XX) 864 Statistics (62-XX) 854 Computer science (68-XX) 683 Real functions (26-XX) 573 Calculus of variations and optimal control; optimization (49-XX) 526 Integral equations (45-XX) 439 Mechanics of particles and systems (70-XX) 373 Statistical mechanics, structure of matter (82-XX) 346 Geophysics (86-XX) 276 Operator theory (47-XX) 275 Linear and multilinear algebra; matrix theory (15-XX) 264 Information and communication theory, circuits (94-XX) 259 Optics, electromagnetic theory (78-XX) 217 Difference and functional equations (39-XX) 214 Mathematical logic and foundations (03-XX) 161 Approximations and expansions (41-XX) 140 Special functions (33-XX) 113 Harmonic analysis on Euclidean spaces (42-XX) 86 Combinatorics (05-XX) 82 Integral transforms, operational calculus (44-XX) 68 Quantum theory (81-XX) 49 General and overarching topics; collections (00-XX) 48 Functional analysis (46-XX) 37 Measure and integration (28-XX) 35 Potential theory (31-XX) 28 Functions of a complex variable (30-XX) 25 Number theory (11-XX) 25 Global analysis, analysis on manifolds (58-XX) 22 General topology (54-XX) 19 History and biography (01-XX) 18 Differential geometry (53-XX) 10 Astronomy and astrophysics (85-XX) 10 Mathematics education (97-XX) 8 Sequences, series, summability (40-XX) 7 Abstract harmonic analysis (43-XX) 6 Nonassociative rings and algebras (17-XX) 6 Relativity and gravitational theory (83-XX) 5 Associative rings and algebras (16-XX) 5 Group theory and generalizations (20-XX) 5 Topological groups, Lie groups (22-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Convex and discrete geometry (52-XX) 3 Field theory and polynomials (12-XX) 3 Commutative algebra (13-XX) 3 Geometry (51-XX) 2 General algebraic systems (08-XX) 2 Algebraic topology (55-XX) 1 Algebraic geometry (14-XX) 1 Manifolds and cell complexes (57-XX)