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Author ID: patera.anthony-t Recent zbMATH articles by "Patera, Anthony T."
Published as: Patera, Anthony T.; Patera, A. T.; Patera, A.; Patera, Anthony
Homepage: https://cse.mit.edu/people/anthony-t-patera/
External Links: MGP · Wikidata · dblp
Videos: carmin.tv
all top 5

Co-Authors

5 single-authored
35 Maday, Yvon
17 Rønquist, Einar M.
12 Huynh, Dinh Bao Phuong
12 Knezevic, David J.
12 Nguyen, Ngoc Cuong
9 Yano, Masayuki
7 Eftang, Jens L.
7 Orszag, Steven Alan
6 Urban, Karsten
6 Veroy, Karen
5 Fischer, Paul F.
5 Grepl, Martin A.
5 Machiels, Luc
5 Paraschivoiu, Marius
5 Penn, James D.
5 Rozza, Gianluigi
5 Taddei, Tommaso
4 Cruz, Manuel E.
4 Ho, Lee-Wing
4 Karniadakis, George Em
4 Le Bris, Claude
4 Peraire, Jaume
4 Prud’homme, Christophe
4 Rovas, Dimitrios V.
4 Yeşilyurt, Serhat
3 Anagnostou, George
3 Bernardi, Christine
3 Ghaddar, Chahid K.
3 Liu, Gui-Rong
3 Turinici, Gabriel
2 Ballani, Jonas
2 Benner, Peter
2 Boyaval, Sébastien
2 Deville, Michel O.
2 Dewey, Daniel
2 Fick, Lambert
2 Korczak, Karol Z.
2 Magen, Michael
2 Nguyen, Loi
2 Ohlberger, Mario
2 Oliveira, Ivan B.
2 Peraire, Jaime
2 Smetana, Kathrin
1 Barrault, Maxime
1 Basdevant, Claude
1 Bègue, Catherine
1 Bhouri, Mohamed Aziz
1 Buffa, Annalisa
1 Cancès, Eric
1 Chakir, Rachida
1 Charpentier, Isabelle
1 Chen, Yanlai
1 Dapogny, Charles
1 Debit, Naïma
1 Glas, Silke
1 Gurfinkel Castillo, Mariano E.
1 Haasdonk, Bernard
1 Hadjiconstantinou, Nicolas G.
1 Haldenwang, Pierre
1 Hesthaven, Jan S.
1 Hoang, Khac Chi
1 Hussaini, M. Yousuff
1 Huynh, Phuong
1 Japhet, Caroline
1 Jung, Nadine
1 Kambourides, Miltos E.
1 Kaneko, Kento
1 Khoo, Boo Cheong
1 Kopriva, David Alan
1 Lacroix, J. M.
1 Lam, Khin-Yong
1 Lelièvre, Tony
1 Lewis, Robert Michael
1 Lohmann, Boris
1 Mavriplis, Catherine
1 Mavriplis, Cathy
1 Meiron, Dan
1 Mikic, B. B.
1 Montavon, Jean-Baptiste
1 Mula, Olga
1 Mund, Ernest H.
1 Muñoz, Rafael
1 Orlandi, Paolo
1 Otto, John
1 Ouazzani, Jalil
1 Pantz, Olivier
1 Pau, George Shu Heng
1 Pau, S. H.
1 Pedercini, Matteo
1 Peterson, John W.
1 Peyret, Roger
1 Sorensen, Danny C.
1 Sulem, Catherine
1 Sulem, Pierre-Louis
1 Vallaghé, Sylvain
1 Zahm, Olivier
all top 5

Serials

19 Computer Methods in Applied Mechanics and Engineering
10 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 International Journal for Numerical Methods in Engineering
8 SIAM Journal on Scientific Computing
7 Journal of Computational Physics
6 International Journal for Numerical Methods in Fluids
4 Journal of Scientific Computing
4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3 Journal of Fluid Mechanics
3 Archives of Computational Methods in Engineering
2 Computers and Fluids
2 International Journal of Heat and Mass Transfer
2 Mathematical and Computer Modelling of Dynamical Systems
2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
1 Communications on Pure and Applied Mathematics
1 Computers and Structures
1 Mathematics of Computation
1 Calcolo
1 Journal of Computational and Applied Mathematics
1 Mathematics and Computers in Simulation
1 Numerische Mathematik
1 Numerical Heat Transfer
1 Applied Numerical Mathematics
1 Finite Elements in Analysis and Design
1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
1 Advances in Computational Mathematics
1 Computing and Visualization in Science
1 International Journal of Computational Fluid Dynamics
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Optimization and Engineering
1 Foundations of Computational Mathematics
1 Communications on Pure and Applied Analysis
1 Inverse Problems in Science and Engineering
1 MS&A. Modeling, Simulation and Applications

Publications by Year

Citations contained in zbMATH Open

125 Publications have been cited 5,613 times in 2,965 Documents Cited by Year
An ‘empirical interpolation’ method: Application to efficient reduced-basis discretization of partial differential equations. Zbl 1061.65118
Barrault, Maxime; Maday, Yvon; Nguyen, Ngoc Cuong; Patera, Anthony T.
622
2004
A spectral element method for fluid dynamics: Laminar flow in a channel expansion. Zbl 0535.76035
Patera, Anthony T.
528
1984
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.
460
2008
A new nonconforming approach to domain decomposition: The mortar element method. Zbl 0797.65094
Bernardi, C.; Maday, Y.; Patera, A. T.
322
1994
Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations. Zbl 1142.65078
Grepl, Martin A.; Maday, Yvon; Nguyen, Ngoc C.; Patera, Anthony T.
220
2007
A posteriori error bounds for reduced-basis approximations of parametrized parabolic partial differential equations. Zbl 1079.65096
Grepl, Martin A.; Patera, Anthony T.
163
2005
Certified real-time solution of the parametrized steady incompressible Navier-Stokes equations: rigorous reduced-basis a posteriori error bounds. Zbl 1134.76326
Veroy, K.; Patera, A. T.
149
2005
Secondary instability of wall-bounded shear flows. Zbl 0556.76039
Orszag, Steven A.; Patera, Anthony T.
149
1983
Domain decomposition by the mortar element method. Zbl 0799.65124
Bernardi, C.; Maday, Y.; Patera, A. T.
120
1993
A successive constraint linear optimization method for lower bounds of parametric coercivity and inf-sup stability constants. Zbl 1127.65086
Huynh, D. B. P.; Rozza, G.; Sen, S.; Patera, A. T.
116
2007
A priori convergence of the greedy algorithm for the parametrized reduced basis method. Zbl 1272.65084
Buffa, Annalisa; Maday, Yvon; Patera, Anthony T.; Prud’homme, Christophe; Turinici, Gabriel
114
2012
A posteriori finite element bounds for linear-functional outputs of elliptic partial differential equations. Zbl 0907.65102
Paraschivoiu, Marius; Peraire, Jaime; Patera, Anthony T.
101
1997
An operator-integration-factor splitting method for time-dependent problems: Application to incompressible fluid flow. Zbl 0724.76070
Maday, Y.; Patera, Anthony T.; Rønquist, Einar M.
98
1990
A general multipurpose interpolation procedure: The magic points. Zbl 1184.65020
Maday, Yvon; Nguyen, Ngoc Cuong; Patera, Anthony T.; Pau, S. H.
91
2009
Spectral and finite difference solutions of the Burgers equations. Zbl 0612.76031
Basdevant, C.; Deville, M.; Haldenwang, P.; Lacroix, J. M.; Ouazzani, J.; Peyret, R.; Orlandi, P.; Patera, A. T.
89
1986
An “\(hp\)” certified reduced basis method for parametrized elliptic partial differential equations. Zbl 1228.35097
Eftang, Jens L.; Patera, Anthony T.; Rønquist, Einar M.
75
2010
A static condensation reduced basis element method: approximation and {a posteriori} error estimation. Zbl 1276.65082
Huynh, Dinh Bao Phuong; Knezevic, David J.; Patera, Anthony T.
69
2013
An improved error bound for reduced basis approximation of linear parabolic problems. Zbl 1320.65129
Urban, Karsten; Patera, Anthony T.
65
2014
Reduced basis techniques for stochastic problems. Zbl 1269.65005
Boyaval, S.; Le Bris, C.; Lelièvre, T.; Maday, Y.; Nguyen, N. C.; Patera, A. T.
64
2010
A ‘best points’ interpolation method for efficient approximation of parametrized functions. Zbl 1163.65009
Nguyen, N. C.; Patera, A. T.; Peraire, J.
63
2008
Spectral element multigrid. I: Formulation and numerical results. Zbl 0666.65055
Rønquist, Einar M.; Patera, Anthony T.
59
1987
A priori convergence theory for reduced-basis approximations of single-parameter elliptic partial differential equations. Zbl 1014.65115
Maday, Yvon; Patera, Anthony T.; Turinici, Gabriel
58
2002
A parameterized-background data-weak approach to variational data assimilation: formulation, analysis, and application to acoustics. Zbl 1352.65529
Maday, Yvon; Patera, Anthony T.; Penn, James D.; Yano, Masayuki
56
2015
An isoparametric spectral element method for solution of the Navier-Stokes equations in complex geometry. Zbl 0581.76036
Korczak, Karol Z.; Patera, Anthony T.
55
1986
Analysis of iterative methods for the steady and unsteady Stokes problem: Application to spectral element discretizations. Zbl 0769.76047
Maday, Yvon; Meiron, Dan; Patera, Anthony T.; Rønquist, Einar M.
52
1993
Reduced basis approximation and a posteriori error estimation for the time-dependent viscous Burgers’ equation. Zbl 1178.65109
Nguyen, Ngoc-Cuong; Rozza, Gianluigi; Patera, Anthony T.
51
2009
A natural-norm successive constraint method for inf-sup lower bounds. Zbl 1231.76208
Huynh, D. B. P.; Knezevic, D. J.; Chen, Y.; Hesthaven, J. S.; Patera, A. T.
49
2010
Nonconforming mortar element methods: Application to spectral discretizations. Zbl 0692.65055
Maday, Yvon; Mavriplis, Cathy; Patera, Anthony T.
48
1989
Output bounds for reduced-basis approximations of symmetric positive definite eigenvalue problems. Zbl 0960.65063
Machiels, Luc; Maday, Yvon; Oliveira, Ivan B.; Patera, Anthony T.; Rovas, Dimitrios V.
48
2000
Global a priori convergence theory for reduced-basis approximations of single-parameter symmetric coercive elliptic partial differential equations. Zbl 1009.65066
Maday, Yvon; Patera, Anthony T.; Turinici, G.
43
2002
An \(hp\) certified reduced basis method for parametrized parabolic partial differential equations. Zbl 1302.65223
Eftang, Jens L.; Knezevic, David J.; Patera, Anthony T.
41
2011
A stabilized POD model for turbulent flows over a range of Reynolds numbers: optimal parameter sampling and constrained projection. Zbl 1415.76387
Fick, Lambert; Maday, Yvon; Patera, Anthony T.; Taddei, Tommaso
41
2018
“Natural norm” a posteriori error estimators for reduced basis approximations. Zbl 1100.65094
Sen, S.; Veroy, K.; Huynh, D. B. P.; Deparis, S.; Nguyen, N. C.; Patera, A. T.
40
2006
A Legendre spectral element method for simulation of unsteady incompressible viscous free-surface flows. Zbl 0722.76052
Ho, Lee-Wing; Patera, Anthony T.
38
1990
A blackbox reduced-basis output bound method for noncoercive linear problems. Zbl 1006.65124
Maday, Y.; Patera, A. T.; Rovas, D. V.
38
2002
A mathematical and computational framework for reliable real-time solution of parametrized partial differential equations. Zbl 1024.65104
Prud’homme, Christophe; Rovas, Dimitrios V.; Veroy, Karen; Patera, Anthony T.
38
2002
Numerical simulation of singular solutions to the two-dimensional cubic Schrödinger equation. Zbl 0543.65081
Sulem, P. L.; Sulem, C.; Patera, A.
38
1984
Reduced-basis approximation of the viscous Burgers equation: Rigorous a posteriori error bounds. Zbl 1036.65075
Veroy, Karen; Prud’homme, Christophe; Patera, Anthony T.
38
2003
Port reduction in parametrized component static condensation: approximation and a posteriori error estimation. Zbl 1352.65495
Eftang, Jens L.; Patera, Anthony T.
38
2013
A reduced basis approach for variational problems with stochastic parameters: application to heat conduction with variable Robin coefficient. Zbl 1230.80013
Boyaval, Sébastien; Le Bris, Claude; Maday, Yvon; Nguyen, Ngoc Cuong; Patera, Anthony T.
36
2009
A hierarchical duality approach to bounds for the outputs of partial differential equations. Zbl 0953.76054
Paraschivoiu, Marius; Patera, Anthony T.
36
1998
Optimal local approximation spaces for component-based static condensation procedures. Zbl 1457.65216
Smetana, Kathrin; Patera, Anthony T.
34
2016
A new error bound for reduced basis approximation of parabolic partial differential equations. Zbl 1242.35157
Urban, Karsten; Patera, Anthony T.
32
2012
An LP empirical quadrature procedure for reduced basis treatment of parametrized nonlinear PDEs. Zbl 1440.65238
Yano, Masayuki; Patera, Anthony T.
32
2019
A Legendre spectral element method for the Stefan problem. Zbl 0632.65126
Rønquist, Einar M.; Patera, Anthony T.
31
1987
A space-time \(hp\)-interpolation-based certified reduced basis method for Burgers’ equation. Zbl 1295.65098
Yano, Masayuki; Patera, Anthony T.; Urban, Karsten
31
2014
Model reduction of parametrized systems. Selected contributions based on the presentations at the MoRePaS conference, SISSA, Trieste, Italy, October 13–16, 2015. Zbl 1381.65001
30
2017
Un cadre général pour l’obtention de bornes a posteriori sur des résultats en sortie d’équations aux dérivées partielles; application aux problèmes de valeurs propres. (A general formulation for a posteriori bounds for output functionals of partial differential equations; application to the eigenvalue problem.) Zbl 0933.65129
Maday, Yvon; Patera, Anthony T.; Peraire, Jaume
29
1999
The generalized empirical interpolation method: stability theory on Hilbert spaces with an application to the Stokes equation. Zbl 1423.76346
Maday, Y.; Mula, O.; Patera, A. T.; Yano, M.
29
2015
Reduced basis approximation and a posteriori error estimation for the parametrized unsteady Boussinesq equations. Zbl 1279.76023
Knezevic, David J.; Nguyen, Ngoc-Cuong; Patera, Anthony T.
28
2011
Finite-amplitude stability of axisymmetric pipe flow. Zbl 0518.76037
Patera, Anthony T.; Orszag, Steven A.
28
1981
A posteriori error estimation for reduced-basis approximation of parametrized elliptic coercive partial differential equations: convex inverse bound conditioners. Zbl 1092.35031
Veroy, Karen; Rovas, Dimitrios V.; Patera, Anthony T.
25
2002
A static condensation reduced basis element method: complex problems. Zbl 1286.65160
Huynh, D. B. P.; Knezevic, D. J.; Patera, A. T.
23
2013
Reduced basis approximation and a posteriori error estimation for stress intensity factors. Zbl 1194.74413
Huynh, D. B. P.; Patera, A. T.
21
2007
A posteriori error bounds for the empirical interpolation method. Zbl 1190.65018
Eftang, Jens L.; Grepl, Martin A.; Patera, Anthony T.
21
2010
PBDW state estimation: noisy observations; configuration-adaptive background spaces; physical interpretations. Zbl 1342.82116
Maday, Yvon; Patera, Anthony T.; Penn, James D.; Yano, Masayuki
20
2015
A “flux-free” nodal Neumann subproblem approach to output bounds for partial differential equations. Zbl 0946.65101
Machiels, Luc; Maday, Yvon; Patera, Anthony T.
20
2000
Parallel spectral element solution of the Stokes problem. Zbl 0709.76106
Fischer, Paul F.; Patera, Anthony T.
19
1991
A parallel Monte Carlo finite-element procedure for the analysis of multicomponent random media. Zbl 0823.73063
Cruz, Manuel E.; Patera, Anthony T.
19
1995
A posteriori finite-element output bounds for the incompressible Navier-Stokes equations: Application to a natural convection problem. Zbl 1002.76069
Machiels, L.; Peraire, J.; Patera, A. T.
18
2001
Asymptotic a posteriori finite element bounds for the outputs of noncoercive problems: The Helmholtz and Burgers equations. Zbl 0943.65124
Peraire, Jaume; Patera, Anthony T.
18
1999
Reduced-basis techniques for rapid reliable optimization of systems described by affinely parametrized coercive elliptic partial differential equations. Zbl 1171.65404
Oliveira, I. B.; Patera, A. T.
18
2007
Variational formulation of three-dimensional viscous free-surface flows: Natural imposition of surface tension boundary conditions. Zbl 0739.76057
Ho, Lee-Wing; Patera, Anthony T.
17
1991
On the mortar element method: Generalizations and implementation. Zbl 0704.65077
Anagnostou, George; Maday, Yvon; Mavriplis, Catherine; Patera, Anthony T.
16
1990
Output bounds for reduced-order approximations of elliptic partial differential equations. Zbl 0984.65118
Machiels, L.; Maday, Y.; Patera, A. T.
16
2001
Inverse identification of thermal parameters using reduced-basis method. Zbl 1137.74361
Liu, G. R.; Lee, J. H.; Patera, A. T.; Yang, Z. L.; Lam, K. Y.
16
2005
A posteriori finite element error bounds for nonlinear outputs of the Helmholtz equation. Zbl 0964.65119
Sarrate, J.; Peraire, J.; Patera, A.
14
1999
Parallel simulation of viscous incompressible flows. Zbl 0802.76065
Fischer, Paul F.; Patera, Anthony T.
13
1994
A posteriori bounds for linear functional outputs of Crouzeix-Raviart finite element discretizations of the incompressible Stokes problem. Zbl 0974.76047
Paraschivoiu, Marius; Patera, Anthony T.
13
2000
A certified reduced basis method for the Fokker-Planck equation of dilute polymeric fluids: FENE dumbbells in extensional flow. Zbl 1226.82051
Knezevic, David J.; Patera, Anthony T.
13
2010
A space-time variational approach to hydrodynamic stability theory. Zbl 1371.76054
Yano, Masayuki; Patera, Anthony T.
13
2013
Recent advances in parallel spectral element simulation of unsteady incompressible flows. Zbl 0668.76039
Fischer, Paul F.; Ho, Lee-Wing; Karniadakis, George E.; Rønquist, Einar M.; Patera, Anthony T.
12
1988
The static condensation reduced basis element method for a mixed-mean conjugate heat exchanger model. Zbl 1298.80016
Vallaghé, Sylvain; Patera, Anthony T.
12
2014
An LP empirical quadrature procedure for parametrized functions. (Une procédure de quadrature empirique par programmation linéaire pour les fonctions à paramètres.) Zbl 1377.65074
Patera, Anthony T.; Yano, Masayuki
12
2017
A general output bound result: application to discretization and iteration error estimation and control. Zbl 1012.65110
Patera, Anthony T.; Rønquist, Einar M.
12
2001
Non-conforming spectral element-finite element approximations for partial differential equations. Zbl 0697.65080
Bègue, C.; Bernardi, C.; Debit, N.; Maday, Y.; Karniadakis, G. E.; Mavriplis, C.; Patera, A. T.
11
1989
Certified rapid solution of partial differential equations for real-time parameter estimation and optimization. Zbl 1228.65223
Grepl, Martin A.; Nguyen, Ngoc C.; Veroy, Karen; Patera, Anthony T.; Liu, Gui R.
11
2007
A two-step certified reduced basis method. Zbl 1244.65172
Eftang, J. L.; Huynh, D. B. P.; Knezevic, D. J.; Patera, A. T.
11
2012
Rapid identification of material properties of the interface tissue in dental implant systems using reduced basis method. Zbl 1300.92047
Hoang, K. C.; Khoo, B. C.; Liu, G. R.; Nguyen, N. C.; Patera, A. T.
11
2013
A localization strategy for data assimilation; application to state estimation and parameter estimation. Zbl 1426.65144
Taddei, Tommaso; Patera, Anthony T.
11
2018
Numerical analysis of a posteriori finite element bounds for linear functional outputs. Zbl 1012.65109
Maday, Yvon; Patera, Anthony T.
11
2000
Fast direct Poisson solvers for high-order finite element discretizations in rectangularly decomposable domains. Zbl 0623.65111
Patera, Anthony T.
10
1986
Reduced basis approximation and a posteriori error estimation for a Boltzmann model. Zbl 1178.76236
Patera, Anthony T.; Rønquist, Einar M.
10
2007
Randomized residual-based error estimators for parametrized equations. Zbl 1411.65148
Smetana, Kathrin; Zahm, Olivier; Patera, Anthony T.
10
2019
Feasibility and competitiveness of a reduced basis approach for rapid electronic structure calculations in quantum chemistry. Zbl 1330.81022
Cancès, Éric; Le Bris, Claude; Maday, Yvon; Nguyen, Ngoc Cuong; Patera, Anthony T.; Pau, George Shu Heng
10
2007
Output bound approximations for partial differential equations; application to the incompressible Navier-Stokes equations. Zbl 0988.76052
Machiels, L.; Peraire, J.; Patera, A. T.
9
1999
Certified reduced basis model validation: a frequentistic uncertainty framework. Zbl 1239.93120
Huynh, D. B. P.; Knezevic, D. J.; Patera, A. T.
9
2012
A component-based hybrid reduced basis/finite element method for solid mechanics with local nonlinearities. Zbl 1439.74387
Ballani, J.; Huynh, D. B. P.; Knezevic, D. J.; Nguyen, L.; Patera, A. T.
9
2018
A model-data weak formulation for simultaneous estimation of state and model bias. (Estimation de la variable d’état et du biais de modèle par une formulation faible incorporant les données.) Zbl 1281.65148
Yano, Masayuki; Penn, James D.; Patera, Anthony T.
9
2013
A Legendre spectral element method for the incompressible Navier-Stokes equations. Zbl 0684.76030
Rønquist, Einar M.; Patera, Anthony T.
8
1988
Spectral collocation methods. Zbl 0671.65093
Hussaini, M. Y.; Kopriva, D. A.; Patera, A. T.
8
1989
A general Lagrangian formulation for the computation of a posteriori finite element bounds. Zbl 1141.76426
Patera, Anthony T.; Peraire, Jaume
8
2003
Reduced-basis output bounds for approximately parametrized elliptic coercive partial differential equations. Zbl 1064.65140
Prud’homme, C.; Patera, A. T.
7
2004
A computational procedure for part design. Zbl 0763.73079
Anagnostou, George; Rønquist, Einar M.; Patera, Anthony T.
7
1992
A high-order Lagrangian-decoupling method for the incompressible Navier- Stokes equations. Zbl 0722.76038
Ho, Lee-Wing; Maday, Yvon; Patera, Anthony T.; Rønquist, Einar M.
7
1990
High-fidelity real-time simulation on deployed platforms. Zbl 1452.65429
Huynh, D. B. P.; Knezevic, D. J.; Peterson, J. W.; Patera, A. T.
7
2011
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.
7
2018
Spectral element methods: Algorithms and architectures. Zbl 0661.65107
Fischer, Paul; Rønquist, Einar M.; Dewey, Daniel; Patera, Anthony T.
6
1988
Regression on parametric manifolds: Estimation of spatial fields, functional outputs, and parameters from noisy data. Zbl 1245.65010
Patera, Anthony T.; Rønquist, Einar M.
6
2012
Fast bounds for outputs of parallel differential equations. Zbl 0924.65057
Paraschivoiu, Marius; Peraire, Jaime; Maday, Yvon; Patera, Anthony T.
5
1998
A two-level parameterized model-order reduction approach for time-domain elastodynamics. Zbl 1502.65189
Bhouri, Mohamed Aziz; Patera, Anthony T.
2
2021
A reduced basis method for the wave equation. Zbl 1484.65218
Glas, Silke; Patera, Anthony T.; Urban, Karsten
4
2020
An LP empirical quadrature procedure for reduced basis treatment of parametrized nonlinear PDEs. Zbl 1440.65238
Yano, Masayuki; Patera, Anthony T.
32
2019
Randomized residual-based error estimators for parametrized equations. Zbl 1411.65148
Smetana, Kathrin; Zahm, Olivier; Patera, Anthony T.
10
2019
A stabilized POD model for turbulent flows over a range of Reynolds numbers: optimal parameter sampling and constrained projection. Zbl 1415.76387
Fick, Lambert; Maday, Yvon; Patera, Anthony T.; Taddei, Tommaso
41
2018
A localization strategy for data assimilation; application to state estimation and parameter estimation. Zbl 1426.65144
Taddei, Tommaso; Patera, Anthony T.
11
2018
A component-based hybrid reduced basis/finite element method for solid mechanics with local nonlinearities. Zbl 1439.74387
Ballani, J.; Huynh, D. B. P.; Knezevic, D. J.; Nguyen, L.; Patera, A. T.
9
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.
7
2018
PDE apps for acoustic ducts: a parametrized component-to-system model-order-reduction approach. Zbl 1435.65011
Ballani, Jonas; Huynh, Phuong; Knezevic, David; Nguyen, Loi; Patera, Anthony T.
1
2018
Model reduction of parametrized systems. Selected contributions based on the presentations at the MoRePaS conference, SISSA, Trieste, Italy, October 13–16, 2015. Zbl 1381.65001
30
2017
An LP empirical quadrature procedure for parametrized functions. (Une procédure de quadrature empirique par programmation linéaire pour les fonctions à paramètres.) Zbl 1377.65074
Patera, Anthony T.; Yano, Masayuki
12
2017
Validation by Monte Carlo sampling of experimental observation functionals. Zbl 07867206
Taddei, Tommaso; Penn, James D.; Patera, Anthony T.
2
2017
Optimal local approximation spaces for component-based static condensation procedures. Zbl 1457.65216
Smetana, Kathrin; Patera, Anthony T.
34
2016
A parameterized-background data-weak approach to variational data assimilation: formulation, analysis, and application to acoustics. Zbl 1352.65529
Maday, Yvon; Patera, Anthony T.; Penn, James D.; Yano, Masayuki
56
2015
The generalized empirical interpolation method: stability theory on Hilbert spaces with an application to the Stokes equation. Zbl 1423.76346
Maday, Y.; Mula, O.; Patera, A. T.; Yano, M.
29
2015
PBDW state estimation: noisy observations; configuration-adaptive background spaces; physical interpretations. Zbl 1342.82116
Maday, Yvon; Patera, Anthony T.; Penn, James D.; Yano, Masayuki
20
2015
An improved error bound for reduced basis approximation of linear parabolic problems. Zbl 1320.65129
Urban, Karsten; Patera, Anthony T.
65
2014
A space-time \(hp\)-interpolation-based certified reduced basis method for Burgers’ equation. Zbl 1295.65098
Yano, Masayuki; Patera, Anthony T.; Urban, Karsten
31
2014
The static condensation reduced basis element method for a mixed-mean conjugate heat exchanger model. Zbl 1298.80016
Vallaghé, Sylvain; Patera, Anthony T.
12
2014
A static condensation reduced basis element method: approximation and {a posteriori} error estimation. Zbl 1276.65082
Huynh, Dinh Bao Phuong; Knezevic, David J.; Patera, Anthony T.
69
2013
Port reduction in parametrized component static condensation: approximation and a posteriori error estimation. Zbl 1352.65495
Eftang, Jens L.; Patera, Anthony T.
38
2013
A static condensation reduced basis element method: complex problems. Zbl 1286.65160
Huynh, D. B. P.; Knezevic, D. J.; Patera, A. T.
23
2013
A space-time variational approach to hydrodynamic stability theory. Zbl 1371.76054
Yano, Masayuki; Patera, Anthony T.
13
2013
Rapid identification of material properties of the interface tissue in dental implant systems using reduced basis method. Zbl 1300.92047
Hoang, K. C.; Khoo, B. C.; Liu, G. R.; Nguyen, N. C.; Patera, A. T.
11
2013
A model-data weak formulation for simultaneous estimation of state and model bias. (Estimation de la variable d’état et du biais de modèle par une formulation faible incorporant les données.) Zbl 1281.65148
Yano, Masayuki; Penn, James D.; Patera, Anthony T.
9
2013
Approximation of parametric derivatives by the empirical interpolation method. Zbl 1284.65041
Eftang, Jens L.; Grepl, Martin A.; Patera, Anthony T.; Rønquist, Einar M.
5
2013
A priori convergence of the greedy algorithm for the parametrized reduced basis method. Zbl 1272.65084
Buffa, Annalisa; Maday, Yvon; Patera, Anthony T.; Prud’homme, Christophe; Turinici, Gabriel
114
2012
A new error bound for reduced basis approximation of parabolic partial differential equations. Zbl 1242.35157
Urban, Karsten; Patera, Anthony T.
32
2012
A two-step certified reduced basis method. Zbl 1244.65172
Eftang, J. L.; Huynh, D. B. P.; Knezevic, D. J.; Patera, A. T.
11
2012
Certified reduced basis model validation: a frequentistic uncertainty framework. Zbl 1239.93120
Huynh, D. B. P.; Knezevic, D. J.; Patera, A. T.
9
2012
Regression on parametric manifolds: Estimation of spatial fields, functional outputs, and parameters from noisy data. Zbl 1245.65010
Patera, Anthony T.; Rønquist, Einar M.
6
2012
An \(hp\) certified reduced basis method for parametrized parabolic partial differential equations. Zbl 1302.65223
Eftang, Jens L.; Knezevic, David J.; Patera, Anthony T.
41
2011
Reduced basis approximation and a posteriori error estimation for the parametrized unsteady Boussinesq equations. Zbl 1279.76023
Knezevic, David J.; Nguyen, Ngoc-Cuong; Patera, Anthony T.
28
2011
High-fidelity real-time simulation on deployed platforms. Zbl 1452.65429
Huynh, D. B. P.; Knezevic, D. J.; Peterson, J. W.; Patera, A. T.
7
2011
A Laplace transform certified reduced basis method; application to the heat equation and wave equation. (Une méthode de bases réduites certifiée utilisant la transformation de Laplace; Application à l’équation de la chaleur et à l’équation des ondes.) Zbl 1215.65156
Huynh, D. B. Phuong; Knezevic, David J.; Patera, Anthony T.
5
2011
An \(hp\) certified reduced basis method for parametrized parabolic partial differential equations. Zbl 1216.65128
Eftang, Jens L.; Patera, Anthony T.; Rønquist, Einar M.
5
2011
Model order reduction and error estimation with an application to the parameter-dependent eddy current equation. Zbl 1303.93052
Jung, Nadine; Patera, Anthony T.; Haasdonk, Bernard; Lohmann, Boris
2
2011
An “\(hp\)” certified reduced basis method for parametrized elliptic partial differential equations. Zbl 1228.35097
Eftang, Jens L.; Patera, Anthony T.; Rønquist, Einar M.
75
2010
Reduced basis techniques for stochastic problems. Zbl 1269.65005
Boyaval, S.; Le Bris, C.; Lelièvre, T.; Maday, Y.; Nguyen, N. C.; Patera, A. T.
64
2010
A natural-norm successive constraint method for inf-sup lower bounds. Zbl 1231.76208
Huynh, D. B. P.; Knezevic, D. J.; Chen, Y.; Hesthaven, J. S.; Patera, A. T.
49
2010
A posteriori error bounds for the empirical interpolation method. Zbl 1190.65018
Eftang, Jens L.; Grepl, Martin A.; Patera, Anthony T.
21
2010
A certified reduced basis method for the Fokker-Planck equation of dilute polymeric fluids: FENE dumbbells in extensional flow. Zbl 1226.82051
Knezevic, David J.; Patera, Anthony T.
13
2010
A general multipurpose interpolation procedure: The magic points. Zbl 1184.65020
Maday, Yvon; Nguyen, Ngoc Cuong; Patera, Anthony T.; Pau, S. H.
91
2009
Reduced basis approximation and a posteriori error estimation for the time-dependent viscous Burgers’ equation. Zbl 1178.65109
Nguyen, Ngoc-Cuong; Rozza, Gianluigi; Patera, Anthony T.
51
2009
A reduced basis approach for variational problems with stochastic parameters: application to heat conduction with variable Robin coefficient. Zbl 1230.80013
Boyaval, Sébastien; Le Bris, Claude; Maday, Yvon; Nguyen, Ngoc Cuong; Patera, Anthony T.
36
2009
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.
460
2008
A ‘best points’ interpolation method for efficient approximation of parametrized functions. Zbl 1163.65009
Nguyen, N. C.; Patera, A. T.; Peraire, J.
63
2008
Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations. Zbl 1142.65078
Grepl, Martin A.; Maday, Yvon; Nguyen, Ngoc C.; Patera, Anthony T.
220
2007
A successive constraint linear optimization method for lower bounds of parametric coercivity and inf-sup stability constants. Zbl 1127.65086
Huynh, D. B. P.; Rozza, G.; Sen, S.; Patera, A. T.
116
2007
Reduced basis approximation and a posteriori error estimation for stress intensity factors. Zbl 1194.74413
Huynh, D. B. P.; Patera, A. T.
21
2007
Reduced-basis techniques for rapid reliable optimization of systems described by affinely parametrized coercive elliptic partial differential equations. Zbl 1171.65404
Oliveira, I. B.; Patera, A. T.
18
2007
Certified rapid solution of partial differential equations for real-time parameter estimation and optimization. Zbl 1228.65223
Grepl, Martin A.; Nguyen, Ngoc C.; Veroy, Karen; Patera, Anthony T.; Liu, Gui R.
11
2007
Reduced basis approximation and a posteriori error estimation for a Boltzmann model. Zbl 1178.76236
Patera, Anthony T.; Rønquist, Einar M.
10
2007
Feasibility and competitiveness of a reduced basis approach for rapid electronic structure calculations in quantum chemistry. Zbl 1330.81022
Cancès, Éric; Le Bris, Claude; Maday, Yvon; Nguyen, Ngoc Cuong; Patera, Anthony T.; Pau, George Shu Heng
10
2007
“Natural norm” a posteriori error estimators for reduced basis approximations. Zbl 1100.65094
Sen, S.; Veroy, K.; Huynh, D. B. P.; Deparis, S.; Nguyen, N. C.; Patera, A. T.
40
2006
A posteriori error bounds for reduced-basis approximations of parametrized parabolic partial differential equations. Zbl 1079.65096
Grepl, Martin A.; Patera, Anthony T.
163
2005
Certified real-time solution of the parametrized steady incompressible Navier-Stokes equations: rigorous reduced-basis a posteriori error bounds. Zbl 1134.76326
Veroy, K.; Patera, A. T.
149
2005
Inverse identification of thermal parameters using reduced-basis method. Zbl 1137.74361
Liu, G. R.; Lee, J. H.; Patera, A. T.; Yang, Z. L.; Lam, K. Y.
16
2005
An ‘empirical interpolation’ method: Application to efficient reduced-basis discretization of partial differential equations. Zbl 1061.65118
Barrault, Maxime; Maday, Yvon; Nguyen, Ngoc Cuong; Patera, Anthony T.
622
2004
Reduced-basis output bounds for approximately parametrized elliptic coercive partial differential equations. Zbl 1064.65140
Prud’homme, C.; Patera, A. T.
7
2004
Reduced-basis approximation of the viscous Burgers equation: Rigorous a posteriori error bounds. Zbl 1036.65075
Veroy, Karen; Prud’homme, Christophe; Patera, Anthony T.
38
2003
A general Lagrangian formulation for the computation of a posteriori finite element bounds. Zbl 1141.76426
Patera, Anthony T.; Peraire, Jaume
8
2003
A priori convergence theory for reduced-basis approximations of single-parameter elliptic partial differential equations. Zbl 1014.65115
Maday, Yvon; Patera, Anthony T.; Turinici, Gabriel
58
2002
Global a priori convergence theory for reduced-basis approximations of single-parameter symmetric coercive elliptic partial differential equations. Zbl 1009.65066
Maday, Yvon; Patera, Anthony T.; Turinici, G.
43
2002
A blackbox reduced-basis output bound method for noncoercive linear problems. Zbl 1006.65124
Maday, Y.; Patera, A. T.; Rovas, D. V.
38
2002
A mathematical and computational framework for reliable real-time solution of parametrized partial differential equations. Zbl 1024.65104
Prud’homme, Christophe; Rovas, Dimitrios V.; Veroy, Karen; Patera, Anthony T.
38
2002
A posteriori error estimation for reduced-basis approximation of parametrized elliptic coercive partial differential equations: convex inverse bound conditioners. Zbl 1092.35031
Veroy, Karen; Rovas, Dimitrios V.; Patera, Anthony T.
25
2002
A posteriori finite-element output bounds for the incompressible Navier-Stokes equations: Application to a natural convection problem. Zbl 1002.76069
Machiels, L.; Peraire, J.; Patera, A. T.
18
2001
Output bounds for reduced-order approximations of elliptic partial differential equations. Zbl 0984.65118
Machiels, L.; Maday, Y.; Patera, A. T.
16
2001
A general output bound result: application to discretization and iteration error estimation and control. Zbl 1012.65110
Patera, Anthony T.; Rønquist, Einar M.
12
2001
Output bounds for reduced-basis approximations of symmetric positive definite eigenvalue problems. Zbl 0960.65063
Machiels, Luc; Maday, Yvon; Oliveira, Ivan B.; Patera, Anthony T.; Rovas, Dimitrios V.
48
2000
A “flux-free” nodal Neumann subproblem approach to output bounds for partial differential equations. Zbl 0946.65101
Machiels, Luc; Maday, Yvon; Patera, Anthony T.
20
2000
A posteriori bounds for linear functional outputs of Crouzeix-Raviart finite element discretizations of the incompressible Stokes problem. Zbl 0974.76047
Paraschivoiu, Marius; Patera, Anthony T.
13
2000
Numerical analysis of a posteriori finite element bounds for linear functional outputs. Zbl 1012.65109
Maday, Yvon; Patera, Anthony T.
11
2000
A posteriori finite element bounds for sensitivity derivatives of partial-differential-equation outputs. Zbl 0946.65100
Lewis, Robert Michael; Patera, Anthony T.; Peraire, Jaume
3
2000
A variationally consistent finite element approach to the two-fluid internal contact-line problem. Zbl 0998.76048
Hadjiconstantinou, Nicolas G.; Patera, Anthony T.
2
2000
Un cadre général pour l’obtention de bornes a posteriori sur des résultats en sortie d’équations aux dérivées partielles; application aux problèmes de valeurs propres. (A general formulation for a posteriori bounds for output functionals of partial differential equations; application to the eigenvalue problem.) Zbl 0933.65129
Maday, Yvon; Patera, Anthony T.; Peraire, Jaume
29
1999
Asymptotic a posteriori finite element bounds for the outputs of noncoercive problems: The Helmholtz and Burgers equations. Zbl 0943.65124
Peraire, Jaume; Patera, Anthony T.
18
1999
A posteriori finite element error bounds for nonlinear outputs of the Helmholtz equation. Zbl 0964.65119
Sarrate, J.; Peraire, J.; Patera, A.
14
1999
Output bound approximations for partial differential equations; application to the incompressible Navier-Stokes equations. Zbl 0988.76052
Machiels, L.; Peraire, J.; Patera, A. T.
9
1999
Bounds evaluation for outputs of eigenvalue problems approximated by the overlapping modal synthesis method. Zbl 0941.65110
Charpentier, Isabelle; Maday, Yvon; Patera, Anthony T.
2
1999
A hierarchical duality approach to bounds for the outputs of partial differential equations. Zbl 0953.76054
Paraschivoiu, Marius; Patera, Anthony T.
36
1998
Fast bounds for outputs of parallel differential equations. Zbl 0924.65057
Paraschivoiu, Marius; Peraire, Jaime; Maday, Yvon; Patera, Anthony T.
5
1998
Variational bound finite element methods for three-dimensional creeping porous media and sedimentation flows. Zbl 0910.76037
Pedercini, Matteo; Patera, Anthony T.; Cruz, Manuel E.
3
1998
A posteriori finite element bounds for linear-functional outputs of elliptic partial differential equations. Zbl 0907.65102
Paraschivoiu, Marius; Peraire, Jaime; Patera, Anthony T.
101
1997
Bayesian-validated computer-simulation surrogates for optimization and design: Error estimates and applications. Zbl 1017.65506
Otto, John; Paraschivoiu, Marius; Yesilyurt, Serhat; Patera, Anthony T.
4
1997
Three-dimensional ribbing instability in symmetric forward-roll film-coating processes. Zbl 0892.76028
Gurfinkel Castillo, Mariano E.; Patera, Anthony T.
2
1997
Bayesian-validated surrogates for noisy computer simulations; application to random media. Zbl 0870.65145
Yeşilyurt, Serhat; Ghaddar, Chahid K.; Cruz, Manuel E.; Patera, Anthony T.
4
1996
A parallel Monte Carlo finite-element procedure for the analysis of multicomponent random media. Zbl 0823.73063
Cruz, Manuel E.; Patera, Anthony T.
19
1995
A variational-bound nip-element method for geometrically stiff problems; application to thermal composites and porous media. Zbl 0826.73076
Cruz, Manuel E.; Ghaddar, Chahid K.; Patera, Anthony T.
4
1995
Surrogates for numerical simulations; optimization of eddy-promoter heat exchangers. Zbl 0852.76074
Yeşilyurt, Serhat; Patera, Anthony T.
3
1995
A new nonconforming approach to domain decomposition: The mortar element method. Zbl 0797.65094
Bernardi, C.; Maday, Y.; Patera, A. T.
322
1994
Parallel simulation of viscous incompressible flows. Zbl 0802.76065
Fischer, Paul F.; Patera, Anthony T.
13
1994
Domain decomposition by the mortar element method. Zbl 0799.65124
Bernardi, C.; Maday, Y.; Patera, A. T.
120
1993
Analysis of iterative methods for the steady and unsteady Stokes problem: Application to spectral element discretizations. Zbl 0769.76047
Maday, Yvon; Meiron, Dan; Patera, Anthony T.; Rønquist, Einar M.
52
1993
Spectral element and lattice gas methods for incompressible fluid dynamics. Zbl 1189.76379
Karniadakis, George Em; Orszag, Steven A.; Rønquist, Einar M.; Patera, Anthony T.
3
1993
A general estimate for the thermal time-to-steady-state for a solid body suddenly immersed in a fluid stream. Zbl 0769.73006
Maday, Y.; Patera, Anthony T.
2
1993
A computational procedure for part design. Zbl 0763.73079
Anagnostou, George; Rønquist, Einar M.; Patera, Anthony T.
7
1992
Spectral element multigrid methods. Zbl 0785.65111
Maday, Y.; Muñoz, R.; Patera, A.; Rønquist, E.
2
1992
Parallel spectral element solution of the Stokes problem. Zbl 0709.76106
Fischer, Paul F.; Patera, Anthony T.
19
1991
...and 25 more Documents
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Cited by 4,166 Authors

88 Rozza, Gianluigi
79 Patera, Anthony T.
72 Maday, Yvon
48 Quarteroni, Alfio M.
36 Hesthaven, Jan S.
36 Karniadakis, George Em
35 Benner, Peter
33 Manzoni, Andrea
32 Willcox, Karen E.
29 Fischer, Paul F.
29 Haasdonk, Bernard
28 Farhat, Charbel H.
26 Díez, Pedro
26 Wohlmuth, Barbara I.
25 Nguyen, Ngoc Cuong
24 Chamoin, Ludovic
24 Huerta, Antonio
23 Peherstorfer, Benjamin
22 Ballarin, Francesco
22 Urban, Karsten
22 Veroy, Karen
21 Carlberg, Kevin T.
21 Chen, Yanlai
20 Bernardi, Christine
20 Dehghan Takht Fooladi, Mehdi
20 Rønquist, Einar M.
20 Taddei, Tommaso
19 Chinesta, Francisco
19 Grepl, Martin A.
19 Iliescu, Traian
19 Ohlberger, Mario
19 Stabile, Giovanni
19 Yano, Masayuki
18 Ladevèze, Pierre
18 Nouy, Anthony
18 Rapetti, Francesca
18 Volkwein, Stefan
18 Wall, Wolfgang A.
17 Parés, Núria
17 Phillips, Timothy
17 Schlatter, Philipp
16 Feng, Lihong
16 Henningson, Dan S.
16 Jiang, Lijian
16 Navon, Ionel Michael
14 Cohen, Albert
13 Abdulle, Assyr
13 Chen, Peng
13 Chung, Tsz Shun Eric
13 Deville, Michel O.
13 Gervasio, Paola
13 Huynh, Dinh Bao Phuong
12 Ben Belgacem, Faker
12 Chacón Rebollo, Tomás
12 Chen, Jinru
12 Dahmen, Wolfgang A.
12 Deparis, Simone
12 Efendiev, Yalchin R.
12 Knezevic, David J.
12 Mula, Olga
12 Popp, Alexander
12 Prudhomme, Serge
12 Smetana, Kathrin
11 Abbaszadeh, Mostafa
11 Bertoluzza, Silvia
11 Bordas, Stéphane Pierre Alain
11 Choi, Youngsoo
11 Fang, Fangxin
11 Giraldo, Francis X.
11 Gunzburger, Max D.
11 Karasözen, Bülent
11 Li, Huiyuan
11 Schwab, Christoph
11 Sherwin, Spencer J.
11 Uzunca, Murat
10 Amsallem, David
10 Cueto, Elias
10 DeVore, Ronald A.
10 Dušek, Jan
10 Fidkowski, Krzysztof J.
10 Gugercin, Serkan
10 Luo, Zhendong
10 Narayan, Akil C.
10 Néron, David
10 Oden, John Tinsley
10 Pain, Christopher C.
10 Paraschivoiu, Marius
10 Rave, Stephan David
10 Seshaiyer, Padmanabhan
10 Wheeler, Mary Fanett
10 Zahr, Matthew J.
9 Alla, Alessandro
9 Brunton, Steven L.
9 Hanifi, Ardeshir
9 Hou, Thomas Yizhao
9 Kirby, Robert M. II
9 Kopriva, David Alan
9 Kutz, J. Nathan
9 Lombardi, Damiano
9 Prud’homme, Christophe
...and 4,066 more Authors
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Cited in 232 Serials

450 Computer Methods in Applied Mechanics and Engineering
382 Journal of Computational Physics
196 International Journal for Numerical Methods in Engineering
108 SIAM Journal on Scientific Computing
105 Journal of Fluid Mechanics
101 Journal of Scientific Computing
95 Computers and Fluids
69 Computational Mechanics
68 Computers & Mathematics with Applications
60 Journal of Computational and Applied Mathematics
57 Advances in Computational Mathematics
54 Applied Numerical Mathematics
44 Physics of Fluids
44 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
39 International Journal for Numerical Methods in Fluids
36 Numerische Mathematik
36 Comptes Rendus. Mathématique. Académie des Sciences, Paris
35 Applied Mathematics and Computation
28 Mathematics of Computation
26 SIAM/ASA Journal on Uncertainty Quantification
24 SIAM Journal on Numerical Analysis
22 Applied Mathematical Modelling
21 International Journal of Computational Fluid Dynamics
21 Multiscale Modeling & Simulation
19 Archives of Computational Methods in Engineering
18 Physica D
18 Numerical Methods for Partial Differential Equations
17 Computer Physics Communications
17 Mathematics and Computers in Simulation
16 European Journal of Mechanics. B. Fluids
14 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
14 Engineering Analysis with Boundary Elements
14 Mathematical and Computer Modelling of Dynamical Systems
14 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
14 Computational Geosciences
12 Physics of Fluids, A
12 Communications in Computational Physics
11 Mathematical Methods in the Applied Sciences
10 BIT
10 Numerical Algorithms
10 GAMM-Mitteilungen
9 Acta Mechanica
9 Wave Motion
9 Theoretical and Computational Fluid Dynamics
9 Applied Mathematics and Mechanics. (English Edition)
9 Numerical Linear Algebra with Applications
8 International Journal of Numerical Methods for Heat & Fluid Flow
8 Advances in Applied Mathematics and Mechanics
8 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
7 Journal of Mathematical Analysis and Applications
7 Calcolo
7 RAIRO. Modélisation Mathématique et Analyse Numérique
7 Constructive Approximation
7 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
7 Journal of Numerical Mathematics
7 International Journal of Computational Methods
6 International Journal of Heat and Mass Transfer
6 COMPEL
6 Computational Optimization and Applications
6 ETNA. Electronic Transactions on Numerical Analysis
6 Mathematical Problems in Engineering
6 Communications in Nonlinear Science and Numerical Simulation
6 SIAM Journal on Applied Dynamical Systems
6 Acta Numerica
5 Classical and Quantum Gravity
5 Applied Mathematics Letters
5 SIAM Journal on Matrix Analysis and Applications
5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
5 Foundations of Computational Mathematics
5 Computational Methods in Applied Mathematics
5 Oberwolfach Reports
5 Journal of Mathematics in Industry
4 Fluid Dynamics
4 Journal of Engineering Mathematics
4 Studies in Applied Mathematics
4 International Journal of Computer Mathematics
4 Applied and Computational Harmonic Analysis
4 Computational and Applied Mathematics
4 Computing and Visualization in Science
4 Chaos
4 Optimization and Engineering
4 Mathematical Modelling and Analysis
4 Boundary Value Problems
4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
4 SMAI Journal of Computational Mathematics
4 Communications on Applied Mathematics and Computation
3 Applicable Analysis
3 Chaos, Solitons and Fractals
3 Computing
3 Journal of Approximation Theory
3 Meccanica
3 SIAM Journal on Mathematical Analysis
3 SIAM Review
3 Multibody System Dynamics
3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3 European Journal of Mechanics. A. Solids
3 Discrete and Continuous Dynamical Systems. Series B
3 Structural and Multidisciplinary Optimization
3 Thai Journal of Mathematics
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Cited in 45 Fields

1,997 Numerical analysis (65-XX)
1,136 Fluid mechanics (76-XX)
813 Partial differential equations (35-XX)
552 Mechanics of deformable solids (74-XX)
125 Computer science (68-XX)
113 Systems theory; control (93-XX)
104 Calculus of variations and optimal control; optimization (49-XX)
104 Statistics (62-XX)
96 Optics, electromagnetic theory (78-XX)
80 Approximations and expansions (41-XX)
79 Probability theory and stochastic processes (60-XX)
79 Classical thermodynamics, heat transfer (80-XX)
70 Biology and other natural sciences (92-XX)
66 Geophysics (86-XX)
63 Operations research, mathematical programming (90-XX)
54 Dynamical systems and ergodic theory (37-XX)
37 Statistical mechanics, structure of matter (82-XX)
36 Linear and multilinear algebra; matrix theory (15-XX)
34 Ordinary differential equations (34-XX)
21 Harmonic analysis on Euclidean spaces (42-XX)
17 Functional analysis (46-XX)
17 Quantum theory (81-XX)
15 Mechanics of particles and systems (70-XX)
14 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
13 Operator theory (47-XX)
12 Information and communication theory, circuits (94-XX)
8 Real functions (26-XX)
7 General and overarching topics; collections (00-XX)
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6 Functions of a complex variable (30-XX)
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3 History and biography (01-XX)
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2 Integral transforms, operational calculus (44-XX)
2 Differential geometry (53-XX)
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1 Difference and functional equations (39-XX)
1 Abstract harmonic analysis (43-XX)
1 Convex and discrete geometry (52-XX)
1 Global analysis, analysis on manifolds (58-XX)

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