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Archives of Computational Methods in Engineering

State of the Art Reviews

Short Title: Arch. Comput. Methods Eng.
Publisher: Springer Netherlands, Dordrecht; International Center for Numerical Methods in Engineering (CIMNE), Barcelona
ISSN: 1134-3060; 1886-1784/e
Online: http://link.springer.com/journal/volumesAndIssues/11831
Documents Indexed: 251 Publications (since 2000)
References Indexed: 249 Publications with 30,288 References.
all top 5

Authors

15 Chinesta, Francisco
9 Cueto, Elias
6 Ammar, Amine
5 Badia, Santiago
5 Colominas, Ignasi
5 Oñate Ibáñez de Navarra, Eugenio
5 Tezduyar, Tayfun E.
4 Abisset-Chavanne, Emmanuelle
4 Aguado, Jose Vicente
4 Doblaré, Manuel
4 Liu, Gui-Rong
4 Takizawa, Kenji
3 Bazilevs, Yuri
3 Carrera, Erasmo
3 Cervera, Miguel
3 Doltsinis, Ioannis St.
3 Houzeaux, Guillaume
3 Lyra, Paulo Roberto Maciel
3 Oller, Sergio
3 Patera, Anthony T.
3 Tamma, Kumar K.
3 Vandepitte, Dirk
3 Vazquez, Mariano
3 Xia, Liang
3 Zohdi, Tarek I.
2 Afzal, Asif
2 Alfaro, Iciar
2 Ansari, Zahid A.
2 Auricchio, Ferdinando
2 Bermúdez, Alfredo
2 Breitkopf, Piotr
2 Calvo, Begoña
2 Chakraverty, Snehashish
2 Chiumenti, Michele
2 Codina, Ramon
2 Cueto-Felgueroso, Luis
2 Desmet, Wim
2 Dialami, Narges
2 Eguzkitza, Beatriz
2 Giannakoglou, Kyriakos C.
2 Goyal, Deepam
2 Gravemeier, Volker
2 Gravvanis, George A.
2 Guillén González, Francisco M.
2 Hashiguchi, Koichi
2 Hervella-Nieto, Luis
2 Hsu, Ming-Chen
2 Khelladi, Sofiane
2 Kikuchi, Noboru
2 Kleiber, Michal
2 Kostov, Nikolay A.
2 Leygue, Adrien
2 Liu, Moubin
2 Löhner, Rainald
2 Maday, Yvon
2 Madej, Lukasz
2 Martín, Alberto F.
2 Martínez, Miguel Ángel
2 Martinez, Xavier
2 McIntyre, Spenser
2 Menezes, Luis F.
2 Murthy, K. Madhu
2 Navarrina, Fermín
2 Nogueira, Xesús
2 Nouy, Anthony
2 Oden, John Tinsley
2 Pabla, B. S.
2 Paris, Jose F.
2 Principe, Javier R.
2 Rao, G. Amba Prasad
2 Rodríguez, Rodolfo
2 Rossi, Riccardo
2 Ryckelynck, David
2 Schrefler, Bernhard A.
2 Sciumè, Giuseppe
2 Sharma, T. Karthikeya
2 Sukumar, Natarajan
2 Taddei, Tommaso
2 Volakis, John L.
2 Wang, Zhaobin
2 Zhou, Xiangmin
2 Zhu, Ying
1 Abdollahi, Amir
1 Abou-Kandil, Hisham
1 Adamczyk, Wojciech P.
1 Adeli, Hojjat
1 Ahmed, Naveed
1 Allix, Olivier
1 Almeida, Regina C.
1 Alves, José L. D.
1 Amezquita-Sanchez, Juan Pablo
1 Aplin, Andrew C.
1 Araújo dos Santos, José V.
1 Arias, Irene
1 Arora, Jasbir S.
1 Arregui-Mena, José David
1 Augarde, Charles Edward
1 Ausias, Gilles
1 Azaiez, Jalel
1 Bagheri, Shervin
...and 452 more Authors

Publications by Year

Citations contained in zbMATH Open

206 Publications have been cited 3,260 times in 2,615 Documents Cited by Year
Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics. Zbl 1304.65251
Rozza, G.; Huynh, D. B. P.; Patera, A. T.
309
2008
Smoothed particle hydrodynamics (SPH): an overview and recent developments. Zbl 1348.76117
Liu, M. B.; Liu, G. R.
194
2010
Finite element methods for flow problems with moving boundaries and interfaces. Zbl 1039.76037
Tezduyar, Tayfun E.
144
2001
Space-time and ALE-VMS techniques for patient-specific cardiovascular fluid-structure interaction modeling. Zbl 1354.92023
Takizawa, Kenji; Bazilevs, Yuri; Tezduyar, Tayfun E.
95
2012
Recent advances in the construction of polygonal finite element interpolants. Zbl 1101.65108
Sukumar, N.; Malsch, E. A.
93
2006
Computational methods for parachute fluid-structure interactions. Zbl 1354.76113
Takizawa, Kenji; Tezduyar, Tayfun E.
82
2012
Recent advances and new challenges in the use of the proper generalized decomposition for solving multidimensional models. Zbl 1269.65106
Chinesta, Francisco; Ammar, Amine; Cueto, Elías
72
2010
Theories and finite elements for multilayered plates and shells: a unified compact formulation with numerical assessment and benchmarking. Zbl 1140.74549
Carrera, Erasmo
65
2003
Engineering analysis and design with ALE-VMS and space-time methods. Zbl 1348.74104
Takizawa, Kenji; Bazilevs, Yuri; Tezduyar, Tayfun E.; Hsu, Ming-Chen; Øiseth, Ole; Mathisen, Kjell M.; Kostov, Nikolay; McIntyre, Spenser
65
2014
Aerodynamic and FSI analysis of wind turbines with the ALE-VMS and ST-VMS methods. Zbl 1348.74095
Bazilevs, Yuri; Takizawa, Kenji; Tezduyar, Tayfun E.; Hsu, Ming-Chen; Kostov, Nikolay; McIntyre, Spenser
61
2014
The finite cell method: a review in the context of higher-order structural analysis of CAD and image-based geometric models. Zbl 1348.65056
Schillinger, Dominik; Ruess, Martin
61
2015
Recent developments in spectral stochastic methods for the numerical solution of stochastic partial differential equations. Zbl 1360.65036
Nouy, Anthony
61
2009
Proper generalized decompositions and separated representations for the numerical solution of high dimensional stochastic problems. Zbl 1269.76079
Nouy, Anthony
61
2010
Theories and finite elements for multilayered anisotropic, composite plates and shells. Zbl 1062.74048
Carrera, E.
60
2002
Isogeometric analysis for topology optimization with a phase field model. Zbl 1354.74224
Dedè, Luca; Borden, Micheal J.; Hughes, Thomas J. R.
60
2012
Multiscale methods for composites: A review. Zbl 1170.74304
Kanouté, P.; Boso, D. P.; Chaboche, J. L.; Schrefler, B. A.
55
2009
Model order reduction for linear and nonlinear systems: a system-theoretic perspective. Zbl 1348.93075
Baur, Ulrike; Benner, Peter; Feng, Lihong
52
2014
Advances in iterative methods and preconditioners for the Helmholtz equation. Zbl 1158.65078
Erlangga, Yogi A.
50
2008
Non-overlapping domain decomposition methods in structural mechanics. Zbl 1171.74041
Gosselet, Pierre; Rey, Christian
49
2006
Reduced basis techniques for stochastic problems. Zbl 1269.65005
Boyaval, S.; Le Bris, C.; Lelièvre, T.; Maday, Y.; Nguyen, N. C.; Patera, A. T.
46
2010
Overview and recent advances in natural neighbour Galerkin methods. Zbl 1050.74001
Cueto, E.; Sukumar, N.; Calvo, B.; Martínez, M. A.; Cegoñino, J.; Doblaré, M.
44
2003
PGD-based computational vademecum for efficient design, optimization and control. Zbl 1354.65100
Chinesta, F.; Leygue, A.; Bordeu, F.; Aguado, J. V.; Cueto, E.; Gonzalez, D.; Alfaro, I.; Ammar, A.; Huerta, A.
41
2013
On the a priori model reduction: overview and recent developments. Zbl 1142.76462
Ryckelynck, D.; Chinesta, F.; Cueto, E.; Ammar, A.
41
2006
An object-oriented environment for developing finite element codes for multi-disciplinary applications. Zbl 1360.76130
Dadvand, Pooyan; Rossi, Riccardo; Oñate, Eugenio
37
2010
Trefftz-based methods for time-harmonic acoustics. Zbl 1170.76332
Pluymers, B.; Van Hal, B.; Vandepitte, D.; Desmet, W.
37
2007
The variational multiscale method for laminar and turbulent flow. Zbl 1177.76341
Gravemeier, V.
37
2006
Smoothed finite element methods (S-FEM): an overview and recent developments. Zbl 1398.65312
Zeng, W.; Liu, G. R.
37
2018
The time dimension: A theory towards the evolution, classification, characterization and design of computational algorithms for transient/dynamic applications. Zbl 0987.74004
Tamma, K. K.; Zhou, X.; Sha, D.
36
2000
A survey on the numerics and computations for the Landau-Lifshitz equation of micromagnetism. Zbl 1206.78008
Cimrák, Ivan
36
2008
Numerical methods for solving the Cahn-Hilliard equation and its applicability to related energy-based models. Zbl 1348.82080
Tierra, G.; Guillén-González, F.
33
2015
Topology optimization in aircraft and aerospace structures design. Zbl 1360.74128
Zhu, Ji-Hong; Zhang, Wei-Hong; Xia, Liang
28
2016
On the convergence of a greedy rank-one update algorithm for a class of linear systems. Zbl 1269.65120
Ammar, A.; Chinesta, F.; Falcó, A.
28
2010
Recent advances in non-probabilistic approaches for non-deterministic dynamic finite element analysis. Zbl 1105.74043
Moens, D.; Vandepitte, D.
24
2006
Proper generalized decomposition for multiscale and multiphysics problems. Zbl 1269.74209
Néron, David; Ladevèze, Pierre
24
2010
Topology optimization of elastic continua using restriction. Zbl 1141.74356
Borrvall, T.
22
2001
Developments in structural-acoustic optimization for passive noise control. Zbl 1099.74538
Marburg, Steffen
21
2002
A review of variational multiscale methods for the simulation of turbulent incompressible flows. Zbl 1360.76105
Ahmed, Naveed; Chacón Rebollo, Tomás; John, Volker; Rubino, Samuele
21
2017
A manifold learning approach to data-driven computational elasticity and inelasticity. Zbl 1390.74195
Ibañez, Rubén; Abisset-Chavanne, Emmanuelle; Aguado, Jose Vicente; Gonzalez, David; Cueto, Elias; Chinesta, Francisco
21
2018
The hysteresis Bouc-Wen model, a survey. Zbl 1170.74300
Ismail, Mohammed; Ikhouane, Fayçal; Rodellar, José
20
2009
A fully implicit computational strategy for strongly coupled fluid-solid interaction. Zbl 1160.74044
Dettmer, W. G.; Perić, D.
20
2007
Perfectly matched layers for time-harmonic second order elliptic problems. Zbl 1359.76217
Bermúdez, A.; Hervella-Nieto, L.; Prieto, A.; Rodríguez, R.
19
2010
Numerical simulation of two-phase free surface flows. Zbl 1097.76047
Caboussat, Alexandre
17
2005
Automating the finite element method. Zbl 1158.74048
Logg, Anders
17
2007
Meshless finite difference method with higher order approximation – applications in mechanics. Zbl 1354.74313
Milewski, Sławomir
16
2012
Partitioned simulation of fluid-structure interaction. Coupling black-box solvers with quasi-Newton techniques. Zbl 1354.74066
Degroote, Joris
16
2013
A posteriori error estimation for acoustic wave propagation problems. Zbl 1145.76033
Oden, J. Tinsley; Prudhomme, Serge; Demkowicz, Leszek
16
2005
High-order finite volume methods and multiresolution reproducing kernels. Zbl 1300.76018
Cueto-Felgueroso, Luis; Colominas, Ignasi
16
2008
Routes for efficient computational homogenization of nonlinear materials using the proper generalized decompositions. Zbl 1269.74187
Lamari, H.; Ammar, A.; Cartraud, P.; Legrain, G.; Chinesta, F.; Jacquemin, F.
16
2010
Continuous adjoint methods for turbulent flows, applied to shape and topology optimization: industrial applications. Zbl 1348.76054
Papoutsis-Kiachagias, E. M.; Giannakoglou, K. C.
15
2016
Toward predictive multiscale modeling of vascular tumor growth, computational and experimental oncology for tumor prediction. Zbl 1360.92059
Oden, J. Tinsley; Lima, Ernesto A. B. F.; Almeida, Regina C.; Feng, Yusheng; Rylander, Marissa Nichole; Fuentes, David; Faghihi, Danial; Rahman, Mohammad M.; DeWitt, Matthew; Gadde, Manasa; Zhou, J. Cliff
15
2016
Multiscale modeling of concrete. From mesoscale to macroscale. Zbl 1284.74105
Unger, Jörg F.; Eckardt, Stefan
15
2011
Computational micro-macro material testing. Zbl 1027.74016
Zohdi, T. I.; Wriggers, P.
14
2001
Deforming fluid domains within the finite element method: five mesh-based tracking methods in comparison. Zbl 1348.76099
Elgeti, S.; Sauerland, H.
14
2016
Structural analysis of masonry historical constructions. Classical and advanced approaches. Zbl 1356.74133
Roca, Pere; Cervera, Miguel; Gariup, Giuseppe; Pela’, Luca
14
2010
Performance and comparison of cell-centered and node-centered unstructured finite volume discretizations for shallow water free surface flows. Zbl 1284.76263
Delis, A. I.; Nikolos, I. K.; Kazolea, M.
14
2011
An overview on numerical analyses of nematic liquid crystal flows. Zbl 1284.76247
Badia, S.; Guillén-Gónzalez, F.; Gutiérrez-Santacreu, J. V.
14
2011
Algebraic pressure segregation methods for the incompressible Navier-Stokes equations. Zbl 1144.76027
Badia, S.; Codina, R.
14
2008
Large scale structural optimization: Computational methods and optimization algorithms. Zbl 1065.74053
Papadrakakis, M.; Lagaros, N. D.; Tsompanakis, Y.; Plevris, V.
13
2001
Implementation and scalability analysis of balancing domain decomposition methods. Zbl 1354.65261
Badia, Santiago; Martín, Alberto F.; Principe, Javier
13
2013
Geometrically nonlinear analysis of shell structures using a flat triangular shell finite element. Zbl 1104.74058
Gal, Erez; Levy, Robert
13
2006
FEMPAR: an object-oriented parallel finite element framework. Zbl 1392.65005
Badia, Santiago; Martín, Alberto F.; Principe, Javier
13
2018
On the dynamics of charged electromagnetic particulate jets. Zbl 1269.76133
Zohdi, T. I.
13
2010
Dissipative particle dynamics (DPD): an overview and recent developments. Zbl 1348.76004
Liu, M. B.; Liu, G. R.; Zhou, L. W.; Chang, J. Z.
12
2015
Recirculating flows involving short fiber suspensions: numerical difficulties and efficient advanced micro-macro solvers. Zbl 1170.76333
Pruliere, Etienne; Ammar, Amine; El Kissi, Nadia; Chinesta, Francisco
12
2009
Adaptive boundary element methods. A posteriori error estimators, adaptivity, convergence, and implementation. Zbl 1348.65172
Feischl, Michael; Führer, Thomas; Heuer, Norbert; Karkulik, Michael; Praetorius, Dirk
11
2015
Computational aspects of the mechanics of complex materials. Zbl 1152.74315
Mariano, Paolo Maria; Stazi, Furio Lorenzo
11
2005
Algorithms and strategies for treatment of large deformation frictional contact in the numerical simulation of deep drawing process. Zbl 1144.74042
Oliveira, M. C.; Alves, J. L.; Menezes, L. F.
11
2008
Adaptive embedded/immersed unstructured grid techniques. Zbl 1127.76047
Löhner, Rainald; Cebral, Juan R.; Camelli, Fernando F.; Baum, Joseph D.; Mestreau, Eric L.; Soto, Orlando A.
11
2007
Depth-averaged modelling of turbulent shallow water flow with wet-dry fronts. Zbl 1127.76013
Cea, Luis; Puertas, Jerónimo; Vázquez-Cendón, María-Elena
11
2007
Bi-directional evolutionary structural optimization on advanced structures and materials: a comprehensive review. Zbl 1392.74074
Xia, Liang; Xia, Qi; Huang, Xiaodong; Xie, Yi Min
11
2018
A first step towards the use of proper general decomposition method for structural optimization. Zbl 1269.74182
Leygue, A.; Verron, E.
11
2010
Explicit approximate inverse preconditioning techniques. Zbl 1032.65046
Gravvanis, G. A.
10
2002
Modelling the plastic anisotropy of metals. Zbl 1172.74300
Habraken, A. M.
10
2004
Recent advances on topology optimization of multiscale nonlinear structures. Zbl 1364.74086
Xia, Liang; Breitkopf, Piotr
10
2017
Analysis of an unconditionally convergent stabilized finite element formulation for incompressible magnetohydrodynamics. Zbl 1348.76097
Badia, Santiago; Codina, Ramon; Planas, Ramon
10
2015
Practical application of the stochastic finite element method. Zbl 1348.65160
Arregui-Mena, José David; Margetts, Lee; Mummery, Paul M.
10
2016
High performance inverse preconditioning. Zbl 1172.65019
Gravvanis, George A.
10
2009
Parallel iterative substructuring in structural mechanics. Zbl 1179.74157
Rheinbach, Oliver
10
2009
Mechanical models of artery walls. Zbl 1139.74036
Kalita, Piotr; Schaefer, Robert
10
2008
A review and comparative study of upwind biased schemes for compressible flow computation. III: Multidimensional extension on unstructured grids. Zbl 1142.76413
Lyra, P. R. M.; Morgan, K.
9
2002
Variational foundations and generalized unified theory of RVE-based multiscale models. Zbl 1348.74003
Blanco, Pablo J.; Sánchez, Pablo J.; de Souza Neto, Eduardo A.; Feijóo, Raúl A.
9
2016
A manifold learning approach for integrated computational materials engineering. Zbl 1390.74196
Lopez, Elena; Gonzalez, D.; Aguado, Jose V.; Abisset-Chavanne, Emmanuelle; Cueto, E.; Binetruy, C.; Chinesta, Francisco
9
2018
State of the art of ANCF elements regarding geometric description, interpolation strategies, definition of elastic forces, validation and the locking phenomenon in comparison with proposed beam finite elements. Zbl 1348.74318
Nachbagauer, Karin
8
2014
Non-intrusive coupling: recent advances and scalable nonlinear domain decomposition. Zbl 1348.65175
Duval, Mickaël; Passieux, Jean-Charles; Salaün, Michel; Guinard, Stéphane
8
2016
On computational modeling in tumor growth. Zbl 1349.92013
Sciumè, G.; Gray, W. G.; Ferrari, M.; Decuzzi, P.; Schrefler, Bernard A.
8
2013
Aerodynamic shape optimization using first and second order adjoint and direct approaches. Zbl 1170.76348
Papadimitriou, Dimitrios I.; Giannakoglou, Kyriakos C.
8
2008
Recent developments in variational multiscale methods for large-eddy simulation of turbulent flow. Zbl 1397.76053
Rasthofer, Ursula; Gravemeier, Volker
8
2018
System identification methods for (operational) modal analysis: review and comparison. Zbl 1354.93004
Reynders, Edwin
7
2012
Hierarchic multilayered plate elements for coupled multifield problems of piezoelectric adaptive structures: formulation and numerical assessment. Zbl 1170.74380
Carrera, E.; Boscolo, M.; Robaldo, A.
7
2007
A biphasic continuum approach for viscoelastic high-porosity foams: comprehensive theory, numerics, and application. Zbl 1170.74325
Markert, Bernd
7
2008
Boundary element simulation of thermal waves. Zbl 1177.80096
Rapún, María-Luisa; Sayas, Francisco-Javier
7
2007
On the capabilities of the polynomial chaos expansion method within SFE analysis – an overview. Zbl 1284.74129
Panayirci, H. M.; Schuëller, G. I.
7
2011
Recent researches on nonlocal elasticity theory in the vibration of carbon nanotubes using beam models: a review. Zbl 1375.74012
Behera, L.; Chakraverty, S.
6
2017
A critical assessment of Kriging model variants for high-fidelity uncertainty quantification in dynamics of composite shells. Zbl 1376.62133
Mukhopadhyay, T.; Chakraborty, S.; Dey, S.; Adhikari, S.; Chowdhury, R.
6
2017
Numerical methods for fluid-structure interaction models of aortic valves. Zbl 1348.74099
Marom, Gil
6
2015
Multigrid methods on semi-structured grids. Zbl 1354.65264
Rodrigo, Carmen; Gaspar, Francisco J.; Lisbona, Francisco J.
6
2012
The application of the \(hp\)-finite element method to electromagnetic problems. Zbl 1195.78059
Ledger, P. D.; Morgan, K.
6
2005
Free-surface viscous flow solution methods for ship hydrodynamics. Zbl 1284.76282
Wackers, J.; Koren, B.; Raven, H. C.; van der Ploeg, A.; Starke, A. R.; Deng, G. B.; Queutey, P.; Visonneau, M.; Hino, T.; Ohashi, K.
6
2011
High-resolution finite volume methods on unstructured grids for turbulence and aeroacoustics. Zbl 1284.76270
Nogueira, Xesús; Khelladi, Sofiane; Colominas, Ignasi; Cueto-Felgueroso, Luis; París, José; Gómez, Héctor
6
2011
On the modeling of highly localized deformations induced by material failure: the strong discontinuity approach. Zbl 1099.74010
Mosler, J.
6
2004
Smoothed finite element methods (S-FEM): an overview and recent developments. Zbl 1398.65312
Zeng, W.; Liu, G. R.
37
2018
A manifold learning approach to data-driven computational elasticity and inelasticity. Zbl 1390.74195
Ibañez, Rubén; Abisset-Chavanne, Emmanuelle; Aguado, Jose Vicente; Gonzalez, David; Cueto, Elias; Chinesta, Francisco
21
2018
FEMPAR: an object-oriented parallel finite element framework. Zbl 1392.65005
Badia, Santiago; Martín, Alberto F.; Principe, Javier
13
2018
Bi-directional evolutionary structural optimization on advanced structures and materials: a comprehensive review. Zbl 1392.74074
Xia, Liang; Xia, Qi; Huang, Xiaodong; Xie, Yi Min
11
2018
A manifold learning approach for integrated computational materials engineering. Zbl 1390.74196
Lopez, Elena; Gonzalez, D.; Aguado, Jose V.; Abisset-Chavanne, Emmanuelle; Cueto, E.; Binetruy, C.; Chinesta, Francisco
9
2018
Recent developments in variational multiscale methods for large-eddy simulation of turbulent flow. Zbl 1397.76053
Rasthofer, Ursula; Gravemeier, Volker
8
2018
kPCA-based parametric solutions within the PGD framework. Zbl 06887320
González, D.; Aguado, Jose V.; Cueto, E.; Abisset-Chavanne, Emmanuelle; Chinesta, Francisco
6
2018
Reduced basis’ acquisition by a learning process for rapid on-line approximation of solution to PDE’s: laminar flow past a backstep. Zbl 1391.76328
Gallinari, Patrick; Maday, Yvon; Sangnier, Maxime; Schwander, Olivier; Taddei, Tommaso
4
2018
Lattice element models and their peculiarities. Zbl 1397.74168
Nikolić, Mijo; Karavelić, Emir; Ibrahimbegovic, Adnan; Miščević, Predrag
3
2018
Nonlinear shape-manifold learning approach: concepts, tools and applications. Zbl 1390.68548
Meng, Liang; Breitkopf, Piotr; Le Quilliec, Guénhaël; Raghavan, Balaji; Villon, Pierre
3
2018
Optimal design of piezoelectric modal transducers. Zbl 1392.74077
Ruiz, David; Bellido, José Carlos; Donoso, Alberto
2
2018
Multiscale computational homogenization: review and proposal of a new enhanced-first-order method. Zbl 1392.74079
Otero, Fermin; Oller, Sergio; Martinez, Xavier
2
2018
A higher-order Chimera method for finite volume schemes. Zbl 1397.76089
Ramírez, Luis; Nogueira, Xesús; Ouro, Pablo; Navarrina, Fermín; Khelladi, Sofiane; Colominas, Ignasi
2
2018
Simulation-based classification; a model-order-reduction approach for structural health monitoring. Zbl 1390.74078
Taddei, T.; Penn, J. D.; Yano, M.; Patera, A. T.
2
2018
Background information of deep learning for structural engineering. Zbl 1390.68538
Lee, Seunghye; Ha, Jingwan; Zokhirova, Mehriniso; Moon, Hyeonjoon; Lee, Jaehong
2
2018
A critical appraisal of design of experiments for uncertainty quantification. Zbl 1397.62271
Bhattacharyya, Biswarup
1
2018
Reduced modeling of unknown trajectories. Zbl 1390.37131
Héas, Patrick; Herzet, Cédric
1
2018
Observable dictionary learning for high-dimensional statistical inference. Zbl 1390.68547
Mathelin, Lionel; Kasper, Kévin; Abou-Kandil, Hisham
1
2018
Big data in experimental mechanics and model order reduction: today’s challenges and tomorrow’s opportunities. Zbl 1390.74197
Neggers, Jan; Allix, Olivier; Hild, François; Roux, Stéphane
1
2018
A review of variational multiscale methods for the simulation of turbulent incompressible flows. Zbl 1360.76105
Ahmed, Naveed; Chacón Rebollo, Tomás; John, Volker; Rubino, Samuele
21
2017
Recent advances on topology optimization of multiscale nonlinear structures. Zbl 1364.74086
Xia, Liang; Breitkopf, Piotr
10
2017
Recent researches on nonlocal elasticity theory in the vibration of carbon nanotubes using beam models: a review. Zbl 1375.74012
Behera, L.; Chakraverty, S.
6
2017
A critical assessment of Kriging model variants for high-fidelity uncertainty quantification in dynamics of composite shells. Zbl 1376.62133
Mukhopadhyay, T.; Chakraborty, S.; Dey, S.; Adhikari, S.; Chowdhury, R.
6
2017
Domain decomposition methods for domain composition purpose: chimera, overset, gluing and sliding mesh methods. Zbl 1437.65220
Houzeaux, Guillaume; Cajas, J. C.; Discacciati, M.; Eguzkitza, B.; Gargallo-Peiró, A.; Rivero, M.; Vázquez, M.
5
2017
Modeling and simulation of laser processing of particulate-functionalized materials. Zbl 1360.74126
Zohdi, T. I.
4
2017
An overview of the combined interface boundary condition method for fluid-structure interaction. Zbl 1391.74073
He, Tao; Zhang, Kai
4
2017
Parallelization strategies for computational fluid dynamics software: state of the art review. Zbl 1364.76152
Afzal, Asif; Ansari, Zahid; Rimaz Faizabadi, Ahmed; Ramis, M. K.
3
2017
Multiphase flow in deforming porous media: a review. Zbl 1364.76224
Pesavento, Francesco; Schrefler, Bernhard A.; Sciumè, Giuseppe
3
2017
Vibration prediction of bladed disks coupled by friction joints. Zbl 1375.74042
Krack, Malte; Salles, Loic; Thouverez, Fabrice
3
2017
Complementarity problems in structural engineering: an overview. Zbl 1360.74121
Bolzon, Gabriella
3
2017
Challenges in thermo-mechanical analysis of friction stir welding processes. Zbl 1360.74044
Dialami, N.; Chiumenti, M.; Cervera, M.; Agelet de Saracibar, C.
3
2017
High order direct arbitrary-Lagrangian-Eulerian (ALE) finite volume schemes for hyperbolic systems on unstructured meshes. Zbl 1437.65117
Boscheri, Walter
3
2017
Topology optimization benchmarks in 2D: results for minimum compliance and minimum volume in planar stress problems. Zbl 1391.74208
Ivvan Valdez, S.; Botello, Salvador; Ochoa, Miguel A.; Marroquín, José L.; Cardoso, Victor
3
2017
Numerical simulation of fracking in shale rocks: current state and future approaches. Zbl 1364.76221
Hattori, Gabriel; Trevelyan, Jon; Augarde, Charles E.; Coombs, William M.; Aplin, Andrew C.
2
2017
Computational fluid dynamics in turbomachinery: a review of state of the art. Zbl 1375.76005
Pinto, Runa Nivea; Afzal, Asif; D’Souza, Loyan Vinson; Ansari, Zahid; Mohammed Samee, A. D.
2
2017
Surface smoothing procedures in computational contact mechanics. Zbl 1360.74122
Neto, D. M.; Oliveira, M. C.; Menezes, L. F.
2
2017
Historical origin and recent development on normal directional impact models for rigid body contact simulation: a critical review. Zbl 1364.74067
Banerjee, Arnab; Chanda, Avishek; Das, Raj
1
2017
Game theory based evolutionary algorithms: a review with Nash applications in structural engineering optimization problems. Zbl 1394.90566
Greiner, David; Periaux, Jacques; Emperador, Jose M.; Galván, Blas; Winter, Gabriel
1
2017
Computational modeling of tumor-induced angiogenesis. Zbl 1391.92008
Vilanova, Guillermo; Colominas, Ignasi; Gomez, Hector
1
2017
Topology optimization in aircraft and aerospace structures design. Zbl 1360.74128
Zhu, Ji-Hong; Zhang, Wei-Hong; Xia, Liang
28
2016
Continuous adjoint methods for turbulent flows, applied to shape and topology optimization: industrial applications. Zbl 1348.76054
Papoutsis-Kiachagias, E. M.; Giannakoglou, K. C.
15
2016
Toward predictive multiscale modeling of vascular tumor growth, computational and experimental oncology for tumor prediction. Zbl 1360.92059
Oden, J. Tinsley; Lima, Ernesto A. B. F.; Almeida, Regina C.; Feng, Yusheng; Rylander, Marissa Nichole; Fuentes, David; Faghihi, Danial; Rahman, Mohammad M.; DeWitt, Matthew; Gadde, Manasa; Zhou, J. Cliff
15
2016
Deforming fluid domains within the finite element method: five mesh-based tracking methods in comparison. Zbl 1348.76099
Elgeti, S.; Sauerland, H.
14
2016
Practical application of the stochastic finite element method. Zbl 1348.65160
Arregui-Mena, José David; Margetts, Lee; Mummery, Paul M.
10
2016
Variational foundations and generalized unified theory of RVE-based multiscale models. Zbl 1348.74003
Blanco, Pablo J.; Sánchez, Pablo J.; de Souza Neto, Eduardo A.; Feijóo, Raúl A.
9
2016
Non-intrusive coupling: recent advances and scalable nonlinear domain decomposition. Zbl 1348.65175
Duval, Mickaël; Passieux, Jean-Charles; Salaün, Michel; Guinard, Stéphane
8
2016
Signal processing techniques for vibration-based health monitoring of smart structures. Zbl 1348.94011
Amezquita-Sanchez, Juan Pablo; Adeli, Hojjat
4
2016
Numerical modeling and experimental validation of free surface flow problems. Zbl 1348.76098
Cruchaga, Marcela; Battaglia, Laura; Storti, Mario; D’Elía, Jorge
4
2016
The vibration monitoring methods and signal processing techniques for structural health monitoring: a review. Zbl 1360.74057
Goyal, D.; Pabla, B. S.
3
2016
Multiscale modeling of complex dynamic problems: an overview and recent developments. Zbl 1348.74303
Jebahi, Mohamed; Dau, Frédéric; Charles, Jean-Luc; Iordanoff, Ivan
2
2016
Multiphysics and thermodynamic formulations for equilibrium and non-equilibrium interactions: non-linear finite elements applied to multi-coupled active materials. Zbl 1360.80013
Pérez-Aparicio, José L.; Palma, Roberto; Taylor, Robert L.
2
2016
On the theories and numerics of continuum models for adaptation processes in biological tissues. Zbl 1348.74246
Saez, P.
1
2016
A review of element-based Galerkin methods for numerical weather prediction: finite elements, spectral elements, and discontinuous Galerkin. Zbl 1360.86004
Marras, Simone; Kelly, James F.; Moragues, Margarida; Müller, Andreas; Kopera, Michal A.; Vázquez, Mariano; Giraldo, Francis X.; Houzeaux, Guillaume; Jorba, Oriol
1
2016
A comparative study of non-traditional methods for vehicle crashworthiness and NVH optimization. Zbl 1360.90320
Kiani, Morteza; Yildiz, Ali R.
1
2016
Computational foot modeling: scope and applications. Zbl 1360.74141
Morales-Orcajo, Enrique; Bayod, Javier; Barbosa de Las Casas, Estevam
1
2016
Exact formulation of subloading surface model: unified constitutive law for irreversible mechanical phenomena in solids. Zbl 1360.74031
Hashiguchi, Koichi
1
2016
Structural dynamic model updating techniques: a state of the art review. Zbl 1360.74143
Sehgal, Shankar; Kumar, Harmesh
1
2016
The finite cell method: a review in the context of higher-order structural analysis of CAD and image-based geometric models. Zbl 1348.65056
Schillinger, Dominik; Ruess, Martin
61
2015
Numerical methods for solving the Cahn-Hilliard equation and its applicability to related energy-based models. Zbl 1348.82080
Tierra, G.; Guillén-González, F.
33
2015
Dissipative particle dynamics (DPD): an overview and recent developments. Zbl 1348.76004
Liu, M. B.; Liu, G. R.; Zhou, L. W.; Chang, J. Z.
12
2015
Adaptive boundary element methods. A posteriori error estimators, adaptivity, convergence, and implementation. Zbl 1348.65172
Feischl, Michael; Führer, Thomas; Heuer, Norbert; Karkulik, Michael; Praetorius, Dirk
11
2015
Analysis of an unconditionally convergent stabilized finite element formulation for incompressible magnetohydrodynamics. Zbl 1348.76097
Badia, Santiago; Codina, Ramon; Planas, Ramon
10
2015
Numerical methods for fluid-structure interaction models of aortic valves. Zbl 1348.74099
Marom, Gil
6
2015
Mass matrix templates: general description and 1D examples. Zbl 1348.74311
Felippa, Carlos; Guo, Qiong; Park, K.
5
2015
Application of \(hp\)-adaptive finite element method to two-scale computation. Zbl 1348.65168
Oleksy, Marta; Cecot, Witold
4
2015
Phase-field modeling of fracture in ferroelectric materials. Zbl 1348.74294
Abdollahi, Amir; Arias, Irene
3
2015
Modelling techniques for vibro-acoustic dynamics of poroelastic materials. Zbl 1348.74096
Deckers, Elke; Jonckheere, Stijn; Vandepitte, Dirk; Desmet, Wim
3
2015
Alya: computational solid mechanics for supercomputers. Zbl 1348.74007
Casoni, E.; Jérusalem, A.; Samaniego, C.; Eguzkitza, B.; Lafortune, P.; Tjahjanto, D. D.; Sáez, X.; Houzeaux, G.; Vázquez, M.
3
2015
Finite element modeling of free surface flow in variable porosity media. Zbl 1348.76153
Larese, Antonia; Rossi, Riccardo; Oñate, Eugenio
2
2015
Variational theory and computations in stochastic plasticity. Zbl 1348.74063
Rosić, Bojana V.; Matthies, Hermann G.
1
2015
A second-gradient theory of dilute suspensions of flexible rods in a Newtonian fluid. Zbl 1348.76175
Abisset-Chavanne, Emmanuelle; Férec, Julien; Ausias, Gilles; Cueto, Elias; Chinesta, Francisco; Keunings, Roland
1
2015
Depth averaged models for fast landslide propagation: mathematical, rheological and numerical aspects. Zbl 1348.76177
Pastor, M.; Blanc, T.; Haddad, B.; Drempetic, V.; Morles, Mila; Dutto, P.; Stickle, M.; Mira, P.; Merodo, J.
1
2015
BIM-enabled structural design: impacts and future developments in structural modelling, analysis and optimisation processes. Zbl 1348.74334
Chi, Hung-Lin; Wang, Xiangyu; Jiao, Yi
1
2015
Multibody approach to musculoskeletal and joint loading. Zbl 1348.74244
Kłodowski, Adam; Rantalainen, Timo
1
2015
Review on numerical modeling of instrumented indentation tests for elastoplastic material behavior identification. Zbl 1348.74004
Marteau, J.; Bouvier, S.; Bigerelle, M.
1
2015
Engineering analysis and design with ALE-VMS and space-time methods. Zbl 1348.74104
Takizawa, Kenji; Bazilevs, Yuri; Tezduyar, Tayfun E.; Hsu, Ming-Chen; Øiseth, Ole; Mathisen, Kjell M.; Kostov, Nikolay; McIntyre, Spenser
65
2014
Aerodynamic and FSI analysis of wind turbines with the ALE-VMS and ST-VMS methods. Zbl 1348.74095
Bazilevs, Yuri; Takizawa, Kenji; Tezduyar, Tayfun E.; Hsu, Ming-Chen; Kostov, Nikolay; McIntyre, Spenser
61
2014
Model order reduction for linear and nonlinear systems: a system-theoretic perspective. Zbl 1348.93075
Baur, Ulrike; Benner, Peter; Feng, Lihong
52
2014
State of the art of ANCF elements regarding geometric description, interpolation strategies, definition of elastic forces, validation and the locking phenomenon in comparison with proposed beam finite elements. Zbl 1348.74318
Nachbagauer, Karin
8
2014
Recent advances in parallel advancing front grid generation. Zbl 1349.65667
Löhner, Rainald
5
2014
Error assessment in structural transient dynamics. Zbl 1354.74304
Verdugo, Francesc; Parés, Núria; Díez, Pedro
4
2014
On the road to personalized medicine: multiscale computational modeling of bone tissue. Zbl 1348.92010
Podshivalov, Lev; Fischer, Anath; Bar-Yoseph, Pinhas Z.
2
2014
Computational modeling and sub-grid scale stabilization of incompressibility and convection in the numerical simulation of friction stir welding processes. Zbl 1354.76093
Agelet de Saracibar, C.; Chiumenti, M.; Cervera, M.; Dialami, N.; Seret, A.
2
2014
Variational-based reduced-order model in dynamic substructuring of coupled structures through a dissipative physical interface: recent advances. Zbl 1348.74075
Ohayon, Roger; Soize, Christian; Sampaio, R.
1
2014
Sintering at particle scale: an Eulerian computing framework to deal with strong topological and material discontinuities. Zbl 1349.74334
Pino-Muñoz, Daniel; Bruchon, J.; Drapier, S.; Valdivieso, F.
1
2014
PGD-based computational vademecum for efficient design, optimization and control. Zbl 1354.65100
Chinesta, F.; Leygue, A.; Bordeu, F.; Aguado, J. V.; Cueto, E.; Gonzalez, D.; Alfaro, I.; Ammar, A.; Huerta, A.
41
2013
Partitioned simulation of fluid-structure interaction. Coupling black-box solvers with quasi-Newton techniques. Zbl 1354.74066
Degroote, Joris
16
2013
Implementation and scalability analysis of balancing domain decomposition methods. Zbl 1354.65261
Badia, Santiago; Martín, Alberto F.; Principe, Javier
13
2013
On computational modeling in tumor growth. Zbl 1349.92013
Sciumè, G.; Gray, W. G.; Ferrari, M.; Decuzzi, P.; Schrefler, Bernard A.
8
2013
GPU acceleration for FEM-based structural analysis. Zbl 1354.65246
Georgescu, Serban; Chow, Peter; Okuda, Hiroshi
4
2013
General description of elastoplastic deformation/sliding phenomena of solids in high accuracy and numerical efficiency: subloading surface concept. Zbl 1349.74012
Hashiguchi, Koichi
3
2013
Implicit numerical integration of nonsmooth multisurface yield criteria in the principal stress space. Zbl 1354.74027
Karaoulanis, Fotios E.
3
2013
From single-scale to two-scales kinetic theory descriptions of rods suspensions. Zbl 1354.76205
Chinesta, Francisco
1
2013
Space-time and ALE-VMS techniques for patient-specific cardiovascular fluid-structure interaction modeling. Zbl 1354.92023
Takizawa, Kenji; Bazilevs, Yuri; Tezduyar, Tayfun E.
95
2012
Computational methods for parachute fluid-structure interactions. Zbl 1354.76113
Takizawa, Kenji; Tezduyar, Tayfun E.
82
2012
Isogeometric analysis for topology optimization with a phase field model. Zbl 1354.74224
Dedè, Luca; Borden, Micheal J.; Hughes, Thomas J. R.
60
2012
Meshless finite difference method with higher order approximation – applications in mechanics. Zbl 1354.74313
Milewski, Sławomir
16
2012
System identification methods for (operational) modal analysis: review and comparison. Zbl 1354.93004
Reynders, Edwin
7
2012
Multigrid methods on semi-structured grids. Zbl 1354.65264
Rodrigo, Carmen; Gaspar, Francisco J.; Lisbona, Francisco J.
6
2012
Review on the Brownian dynamics simulation of bead-rod-spring models encountered in computational rheology. Zbl 1354.74014
Cruz, C.; Chinesta, F.; Régnier, G.
4
2012
...and 106 more Documents
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Cited by 4,360 Authors

94 Tezduyar, Tayfun E.
73 Takizawa, Kenji
56 Chinesta, Francisco
54 Bazilevs, Yuri
43 Rozza, Gianluigi
32 Hsu, Ming-Chen
30 Cueto, Elias
27 Badia, Santiago
26 Rossi, Riccardo
24 Benner, Peter
24 Patera, Anthony T.
24 Quarteroni, Alfio M.
23 Oñate Ibáñez de Navarra, Eugenio
22 Ammar, Amine
22 Desmet, Wim
22 Schillinger, Dominik
22 Zohdi, Tarek I.
20 Carrera, Erasmo
19 Nouy, Anthony
17 Doblaré, Manuel
17 Tamma, Kumar K.
16 Liu, Gui-Rong
16 Vandepitte, Dirk
15 Bordas, Stéphane Pierre Alain
15 Hughes, Thomas J. R.
15 Idelsohn, Sergio Rodolfo
15 Wriggers, Peter
14 Deckers, Elke
14 Korobenko, Artem
14 Yan, Jinhui
13 Chen, Yanlai
13 Gosselet, Pierre
13 Huerta, Antonio
13 Maday, Yvon
13 Manzoni, Andrea
13 Steinmann, Paul
12 Codina, Ramon
12 Gravemeier, Volker
12 Gugercin, Serkan
12 Haasdonk, Bernard
12 Martín, Alberto F.
12 Matthies, Hermann Georg
12 Natarajan, Sundararajan
12 Nogueira, Xesús
11 Colominas, Ignasi
11 Grepl, Martin A.
11 Kamensky, David
11 Leygue, Adrien
11 Néron, David
11 Nguyen, Ngoc Cuong
11 Peherstorfer, Benjamin
11 Reali, Alessandro
11 Wall, Wolfgang A.
11 Willcox, Karen E.
10 Abisset-Chavanne, Emmanuelle
10 Alfaro, Iciar
10 Gravvanis, George A.
10 Jiang, Lijian
10 Knezevic, David J.
10 Milewski, Slawomir
10 Sukumar, Natarajan
10 Taddei, Tommaso
10 Yano, Masayuki
9 Abdulle, Assyr
9 Chen, Peng
9 Dede’, Luca
9 Dettmer, Wulf G.
9 Giannakoglou, Kyriakos C.
9 Khelladi, Sofiane
9 Kostov, Nikolay A.
9 Ladevèze, Pierre
9 Liu, Wing Kam
9 Marsden, Alison L.
9 Otoguro, Yuto
9 Passieux, Jean-Charles
9 Paulino, Glaucio H.
9 Perić, Djordje
9 Rey, Christian A.
9 Ruess, Martin
9 Soize, Christian
9 Teixeira de Freitas, João António
9 Van Genechten, Bert
8 Aguado, Jose Vicente
8 Allix, Olivier
8 Ballarin, Francesco
8 Beirão da Veiga, Lourenço
8 Cruchaga, Marcela A.
8 Javili, Ali
8 Kuraishi, Takashi
8 Luo, Zhen
8 Nguyen-Xuan, Hung
8 Rank, Ernst
8 Rubino, Samuele
8 Torii, Ryo
8 Xu, Fei
8 Zhou, Xiangmin
7 Baiges, Joan
7 Bergen, Bart
7 Bouclier, Robin
7 Brezzi, Franco
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Cited in 206 Journals

522 Computer Methods in Applied Mechanics and Engineering
230 Computational Mechanics
178 Journal of Computational Physics
140 International Journal for Numerical Methods in Engineering
116 Computers and Fluids
96 Archives of Computational Methods in Engineering
85 Engineering Analysis with Boundary Elements
77 Computers & Mathematics with Applications
65 SIAM Journal on Scientific Computing
60 Applied Mathematical Modelling
49 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
41 Journal of Computational and Applied Mathematics
41 Journal of Scientific Computing
38 Acta Mechanica
38 International Journal of Computational Methods
36 European Journal of Mechanics. A. Solids
30 Advances in Computational Mathematics
25 Applied Mathematics and Computation
25 Mathematical Problems in Engineering
20 Applied Numerical Mathematics
20 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
19 International Journal for Numerical Methods in Fluids
18 Numerische Mathematik
18 SIAM/ASA Journal on Uncertainty Quantification
15 SIAM Journal on Numerical Analysis
14 Comptes Rendus. Mathématique. Académie des Sciences, Paris
14 Acta Mechanica Sinica
13 Meccanica
13 Mathematics and Mechanics of Solids
13 Mathematical and Computer Modelling of Dynamical Systems
13 Structural and Multidisciplinary Optimization
12 Mathematics of Computation
11 International Journal of Solids and Structures
11 Computer Aided Geometric Design
9 International Journal of Engineering Science
8 Mathematics and Computers in Simulation
8 Archive of Applied Mechanics
8 Nonlinear Dynamics
8 Computational Geosciences
7 Applied Mathematics Letters
7 Multiscale Modeling & Simulation
6 SIAM Journal on Control and Optimization
6 Numerical Algorithms
6 Continuum Mechanics and Thermodynamics
6 International Journal of Numerical Methods for Heat & Fluid Flow
6 Communications in Nonlinear Science and Numerical Simulation
6 Engineering Computations
6 Inverse Problems in Science and Engineering
6 International Journal for Computational Methods in Engineering Science and Mechanics
5 Journal of Fluid Mechanics
5 Journal of Mathematical Analysis and Applications
5 Journal of Optimization Theory and Applications
5 Systems & Control Letters
5 Journal of Elasticity
5 Computational and Applied Mathematics
5 Multibody System Dynamics
5 Journal of Computational Acoustics
5 Discrete and Continuous Dynamical Systems. Series S
5 International Journal for Numerical Methods in Biomedical Engineering
5 International Journal of Structural Stability and Dynamics
4 Computer Physics Communications
4 Journal of Engineering Mathematics
4 Wave Motion
4 Journal of Differential Equations
4 Acta Applicandae Mathematicae
4 Numerical Methods for Partial Differential Equations
4 SIAM Journal on Matrix Analysis and Applications
4 Japan Journal of Industrial and Applied Mathematics
4 Journal of Non-Newtonian Fluid Mechanics
4 SIAM Journal on Mathematical Analysis
4 Computational Optimization and Applications
4 Numerical Linear Algebra with Applications
4 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
4 European Journal of Mechanics. B. Fluids
4 Foundations of Computational Mathematics
4 Mathematical Biosciences and Engineering
4 Journal of Mathematics in Industry
4 S\(\vec{\text{e}}\)MA Journal
3 Inverse Problems
3 Journal of the Mechanics and Physics of Solids
3 Automatica
3 Mechanics Research Communications
3 Finite Elements in Analysis and Design
3 COMPEL
3 SIAM Review
3 Communications in Numerical Methods in Engineering
3 Doklady Mathematics
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Lobachevskii Journal of Mathematics
3 Computational Methods in Applied Mathematics
3 SIAM Journal on Applied Dynamical Systems
3 International Journal of Fracture
3 Advances in Applied Mathematics and Mechanics
3 Journal of Theoretical Biology
3 SMAI Journal of Computational Mathematics
2 International Journal of Plasticity
2 Journal of the Franklin Institute
2 Journal of Mathematical Biology
2 Mathematical Methods in the Applied Sciences
...and 106 more Journals
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Cited in 39 Fields

1,394 Numerical analysis (65-XX)
1,204 Mechanics of deformable solids (74-XX)
901 Fluid mechanics (76-XX)
396 Partial differential equations (35-XX)
139 Biology and other natural sciences (92-XX)
90 Optics, electromagnetic theory (78-XX)
81 Systems theory; control (93-XX)
78 Calculus of variations and optimal control; optimization (49-XX)
75 Probability theory and stochastic processes (60-XX)
64 Statistics (62-XX)
63 Operations research, mathematical programming (90-XX)
62 Statistical mechanics, structure of matter (82-XX)
59 Classical thermodynamics, heat transfer (80-XX)
52 Computer science (68-XX)
43 Mechanics of particles and systems (70-XX)
31 Linear and multilinear algebra; matrix theory (15-XX)
30 Geophysics (86-XX)
23 Approximations and expansions (41-XX)
18 Ordinary differential equations (34-XX)
15 Dynamical systems and ergodic theory (37-XX)
11 Operator theory (47-XX)
10 Information and communication theory, circuits (94-XX)
7 Combinatorics (05-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 General and overarching topics; collections (00-XX)
5 Quantum theory (81-XX)
4 Integral transforms, operational calculus (44-XX)
4 Integral equations (45-XX)
4 Functional analysis (46-XX)
3 Functions of a complex variable (30-XX)
3 Global analysis, analysis on manifolds (58-XX)
2 Real functions (26-XX)
2 Special functions (33-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Mathematics education (97-XX)
1 History and biography (01-XX)
1 Algebraic geometry (14-XX)
1 Difference and functional equations (39-XX)
1 Differential geometry (53-XX)

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