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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
all top 5

Co-Authors

4 single-authored
34 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 Rozza, Gianluigi
4 Cruz, Manuel E.
4 Ho, Lee-Wing
4 Karniadakis, George Em
4 Penn, James D.
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 Le Bris, Claude
3 Liu, Gui-Rong
3 Taddei, Tommaso
3 Turinici, Gabriel
2 Ballani, Jonas
2 Benner, Peter
2 Boyaval, Sébastien
2 Deville, Michel O.
2 Dewey, Daniel
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 Fick, Lambert
1 Glas, Silke
1 Gurfinkel Castillo, Mariano E.
1 Haasdonk, Bernard
1 Hadjiconstantinou, Nicolas G.
1 Haldenwang, Pierre
1 Hesthaven, Jan S.
1 Hoang, K. C.
1 Hussaini, M. Yousuff
1 Huynh, Phuong
1 Japhet, Caroline
1 Jung, Nadine
1 Kambourides, Miltos E.
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 SIAM Journal on Scientific Computing
7 Journal of Computational Physics
7 International Journal for Numerical Methods in Engineering
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

120 Publications have been cited 4,260 times in 2,296 Documents Cited by Year
A spectral element method for fluid dynamics: Laminar flow in a channel expansion. Zbl 0535.76035
Patera, Anthony T.
431
1984
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.
421
2004
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.
335
2008
A new nonconforming approach to domain decomposition: The mortar element method. Zbl 0797.65094
Bernardi, C.; Maday, Y.; Patera, A. T.
271
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.
165
2007
Secondary instability of wall-bounded shear flows. Zbl 0556.76039
Orszag, Steven A.; Patera, Anthony T.
135
1983
A posteriori error bounds for reduced-basis approximations of parametrized parabolic partial differential equations. Zbl 1079.65096
Grepl, Martin A.; Patera, Anthony T.
122
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.
116
2005
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.
101
2007
Domain decomposition by the mortar element method. Zbl 0799.65124
Bernardi, C.; Maday, Y.; Patera, A. T.
100
1993
A posteriori finite element bounds for linear-functional outputs of elliptic partial differential equations. Zbl 0907.65102
Paraschivoiu, Marius; Peraire, Jaime; Patera, Anthony T.
85
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.
84
1990
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
72
2012
A general multipurpose interpolation procedure: The magic points. Zbl 1184.65020
Maday, Yvon; Nguyen, Ngoc Cuong; Patera, Anthony T.; Pau, S. H.
67
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.
67
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.
52
2010
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
48
2002
Spectral element multigrid. I: Formulation and numerical results. Zbl 0666.65055
Rønquist, Einar M.; Patera, Anthony T.
48
1987
Reduced basis techniques for stochastic problems. Zbl 1269.65005
Boyaval, S.; Le Bris, C.; Lelièvre, T.; Maday, Y.; Nguyen, N. C.; Patera, A. T.
47
2010
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.
46
1993
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.
45
2000
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.
45
2009
An isoparametric spectral element method for solution of the Navier-Stokes equations in complex geometry. Zbl 0581.76036
Korczak, Karol Z.; Patera, Anthony T.
44
1986
An improved error bound for reduced basis approximation of linear parabolic problems. Zbl 1320.65129
Urban, Karsten; Patera, Anthony T.
44
2014
A ‘best points’ interpolation method for efficient approximation of parametrized functions. Zbl 1163.65009
Nguyen, N. C.; Patera, A. T.; Peraire, J.
43
2008
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.
41
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.
40
2013
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.
37
2002
Reduced-basis approximation of the viscous Burgers equation: Rigorous a posteriori error bounds. Zbl 1036.65075
Veroy, Karen; Prud’homme, Christophe; Patera, Anthony T.
37
2003
“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.
36
2006
A Legendre spectral element method for simulation of unsteady incompressible viscous free-surface flows. Zbl 0722.76052
Ho, Lee-Wing; Patera, Anthony T.
35
1990
A blackbox reduced-basis output bound method for noncoercive linear problems. Zbl 1006.65124
Maday, Y.; Patera, A. T.; Rovas, D. V.
33
2002
A hierarchical duality approach to bounds for the outputs of partial differential equations. Zbl 0953.76054
Paraschivoiu, Marius; Patera, Anthony T.
33
1998
Numerical simulation of singular solutions to the two-dimensional cubic Schrödinger equation. Zbl 0543.65081
Sulem, P. L.; Sulem, C.; Patera, A.
31
1984
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
31
2015
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
27
2018
An \(hp\) certified reduced basis method for parametrized parabolic partial differential equations. Zbl 1302.65223
Eftang, Jens L.; Knezevic, David J.; Patera, Anthony T.
27
2011
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
26
1999
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.
26
2009
A Legendre spectral element method for the Stefan problem. Zbl 0632.65126
Rønquist, Einar M.; Patera, Anthony T.
23
1987
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.
22
2011
Port reduction in parametrized component static condensation: approximation and a posteriori error estimation. Zbl 1352.65495
Eftang, Jens L.; Patera, Anthony T.
22
2013
A new error bound for reduced basis approximation of parabolic partial differential equations. Zbl 1242.35157
Urban, Karsten; Patera, Anthony T.
21
2012
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.
21
2002
Finite-amplitude stability of axisymmetric pipe flow. Zbl 0518.76037
Patera, Anthony T.; Orszag, Steven A.
21
1981
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.
20
2015
A posteriori error bounds for the empirical interpolation method. Zbl 1190.65018
Eftang, Jens L.; Grepl, Martin A.; Patera, Anthony T.
19
2010
A space-time \(hp\)-interpolation-based certified reduced basis method for Burgers’ equation. Zbl 1295.65098
Yano, Masayuki; Patera, Anthony T.; Urban, Karsten
19
2014
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
A “flux-free” nodal Neumann subproblem approach to output bounds for partial differential equations. Zbl 0946.65101
Machiels, Luc; Maday, Yvon; Patera, Anthony T.
18
2000
Reduced basis approximation and a posteriori error estimation for stress intensity factors. Zbl 1194.74413
Huynh, D. B. P.; Patera, A. T.
18
2007
A parallel Monte Carlo finite-element procedure for the analysis of multicomponent random media. Zbl 0823.73063
Cruz, Manuel E.; Patera, Anthony T.
17
1995
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.
17
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
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.
17
1999
Parallel spectral element solution of the Stokes problem. Zbl 0709.76106
Fischer, Paul F.; Patera, Anthony T.
16
1991
A static condensation reduced basis element method: complex problems. Zbl 1286.65160
Huynh, D. B. P.; Knezevic, D. J.; Patera, A. T.
16
2013
Nonconforming mortar element methods: Application to spectral discretizations. Zbl 0692.65055
Maday, Yvon; Mavriplis, Cathy; Patera, Anthony T.
15
1989
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.
15
2005
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
15
2017
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.
13
2002
A posteriori finite element error bounds for nonlinear outputs of the Helmholtz equation. Zbl 0964.65119
Sarrate, J.; Peraire, J.; Patera, A.
13
1999
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
Parallel simulation of viscous incompressible flows. Zbl 0802.76065
Fischer, Paul F.; Patera, Anthony T.
13
1994
Optimal local approximation spaces for component-based static condensation procedures. Zbl 1457.65216
Smetana, Kathrin; Patera, Anthony T.
13
2016
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
PBDW state estimation: noisy observations; configuration-adaptive background spaces; physical interpretations. Zbl 1342.82116
Maday, Yvon; Patera, Anthony T.; Penn, James D.; Yano, Masayuki
12
2015
Numerical analysis of a posteriori finite element bounds for linear functional outputs. Zbl 1012.65109
Maday, Yvon; Patera, Anthony T.
11
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.
11
2010
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.
10
2007
Output bounds for reduced-order approximations of elliptic partial differential equations. Zbl 0984.65118
Machiels, L.; Maday, Y.; Patera, A. T.
10
2001
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.
10
1988
A space-time variational approach to hydrodynamic stability theory. Zbl 1371.76054
Yano, Masayuki; Patera, Anthony T.
10
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.
9
2013
Reduced basis approximation and a posteriori error estimation for a Boltzmann model. Zbl 1178.76236
Patera, Anthony T.; Rønquist, Einar M.
9
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
The static condensation reduced basis element method for a mixed-mean conjugate heat exchanger model. Zbl 1298.80016
Vallaghé, Sylvain; Patera, Anthony T.
9
2014
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.
8
1989
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.
8
2013
Fast direct Poisson solvers for high-order finite element discretizations in rectangularly decomposable domains. Zbl 0623.65111
Patera, Anthony T.
8
1986
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
8
2007
A two-step certified reduced basis method. Zbl 1244.65172
Eftang, J. L.; Huynh, D. B. P.; Knezevic, D. J.; Patera, A. T.
7
2012
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 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
A computational procedure for part design. Zbl 0763.73079
Anagnostou, George; Rønquist, Einar M.; Patera, Anthony T.
7
1992
Spectral collocation methods. Zbl 0671.65093
Hussaini, M. Y.; Kopriva, D. A.; Patera, A. T.
7
1989
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
7
2017
A localization strategy for data assimilation; application to state estimation and parameter estimation. Zbl 1426.65144
Taddei, Tommaso; Patera, Anthony T.
6
2018
Certified reduced basis model validation: a frequentistic uncertainty framework. Zbl 1239.93120
Huynh, D. B. P.; Knezevic, D. J.; Patera, A. T.
6
2012
A general Lagrangian formulation for the computation of a posteriori finite element bounds. Zbl 1141.76426
Patera, Anthony T.; Peraire, Jaume
6
2003
Reduced-basis output bounds for approximately parametrized elliptic coercive partial differential equations. Zbl 1064.65140
Prud’homme, C.; Patera, A. T.
6
2004
A Legendre spectral element method for the incompressible Navier-Stokes equations. Zbl 0684.76030
Rønquist, Einar M.; Patera, Anthony T.
6
1988
An LP empirical quadrature procedure for reduced basis treatment of parametrized nonlinear PDEs. Zbl 1440.65238
Yano, Masayuki; Patera, Anthony T.
6
2019
Fast bounds for outputs of parallel differential equations. Zbl 0924.65057
Paraschivoiu, Marius; Peraire, Jaime; Maday, Yvon; Patera, Anthony T.
5
1998
Regression on parametric manifolds: Estimation of spatial fields, functional outputs, and parameters from noisy data. Zbl 1245.65010
Patera, Anthony T.; Rønquist, Einar M.
5
2012
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
On the mortar element method: Generalizations and implementation. Zbl 0704.65077
Anagnostou, George; Maday, Yvon; Mavriplis, Catherine; Patera, Anthony T.
5
1990
Subcritical transition to turbulence in planar shear flows. Zbl 0492.76063
Orszag, Steven A.; Patera, Anthony T.
5
1981
Randomized residual-based error estimators for parametrized equations. Zbl 1411.65148
Smetana, Kathrin; Zahm, Olivier; Patera, Anthony T.
5
2019
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.
4
2018
An LP empirical quadrature procedure for reduced basis treatment of parametrized nonlinear PDEs. Zbl 1440.65238
Yano, Masayuki; Patera, Anthony T.
6
2019
Randomized residual-based error estimators for parametrized equations. Zbl 1411.65148
Smetana, Kathrin; Zahm, Olivier; Patera, Anthony T.
5
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
27
2018
A localization strategy for data assimilation; application to state estimation and parameter estimation. Zbl 1426.65144
Taddei, Tommaso; Patera, Anthony T.
6
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.
4
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.
3
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
15
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
7
2017
Optimal local approximation spaces for component-based static condensation procedures. Zbl 1457.65216
Smetana, Kathrin; Patera, Anthony T.
13
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
31
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.
20
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
12
2015
An improved error bound for reduced basis approximation of linear parabolic problems. Zbl 1320.65129
Urban, Karsten; Patera, Anthony T.
44
2014
A space-time \(hp\)-interpolation-based certified reduced basis method for Burgers’ equation. Zbl 1295.65098
Yano, Masayuki; Patera, Anthony T.; Urban, Karsten
19
2014
The static condensation reduced basis element method for a mixed-mean conjugate heat exchanger model. Zbl 1298.80016
Vallaghé, Sylvain; Patera, Anthony T.
9
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.
40
2013
Port reduction in parametrized component static condensation: approximation and a posteriori error estimation. Zbl 1352.65495
Eftang, Jens L.; Patera, Anthony T.
22
2013
A static condensation reduced basis element method: complex problems. Zbl 1286.65160
Huynh, D. B. P.; Knezevic, D. J.; Patera, A. T.
16
2013
A space-time variational approach to hydrodynamic stability theory. Zbl 1371.76054
Yano, Masayuki; Patera, Anthony T.
10
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.
9
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.
8
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
72
2012
A new error bound for reduced basis approximation of parabolic partial differential equations. Zbl 1242.35157
Urban, Karsten; Patera, Anthony T.
21
2012
A two-step certified reduced basis method. Zbl 1244.65172
Eftang, J. L.; Huynh, D. B. P.; Knezevic, D. J.; Patera, A. T.
7
2012
Certified reduced basis model validation: a frequentistic uncertainty framework. Zbl 1239.93120
Huynh, D. B. P.; Knezevic, D. J.; Patera, A. T.
6
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.
5
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.
27
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.
22
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.
4
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.
3
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.
52
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.
47
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.
41
2010
A posteriori error bounds for the empirical interpolation method. Zbl 1190.65018
Eftang, Jens L.; Grepl, Martin A.; Patera, Anthony T.
19
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.
11
2010
A general multipurpose interpolation procedure: The magic points. Zbl 1184.65020
Maday, Yvon; Nguyen, Ngoc Cuong; Patera, Anthony T.; Pau, S. H.
67
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.
45
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.
26
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.
335
2008
A ‘best points’ interpolation method for efficient approximation of parametrized functions. Zbl 1163.65009
Nguyen, N. C.; Patera, A. T.; Peraire, J.
43
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.
165
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.
101
2007
Reduced basis approximation and a posteriori error estimation for stress intensity factors. Zbl 1194.74413
Huynh, D. B. P.; Patera, A. T.
18
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.
17
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.
10
2007
Reduced basis approximation and a posteriori error estimation for a Boltzmann model. Zbl 1178.76236
Patera, Anthony T.; Rønquist, Einar M.
9
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
8
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.
36
2006
A posteriori error bounds for reduced-basis approximations of parametrized parabolic partial differential equations. Zbl 1079.65096
Grepl, Martin A.; Patera, Anthony T.
122
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.
116
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.
15
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.
421
2004
Reduced-basis output bounds for approximately parametrized elliptic coercive partial differential equations. Zbl 1064.65140
Prud’homme, C.; Patera, A. T.
6
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.
37
2003
A general Lagrangian formulation for the computation of a posteriori finite element bounds. Zbl 1141.76426
Patera, Anthony T.; Peraire, Jaume
6
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
48
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.
37
2002
A blackbox reduced-basis output bound method for noncoercive linear problems. Zbl 1006.65124
Maday, Y.; Patera, A. T.; Rovas, D. V.
33
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.
21
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.
13
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
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-order approximations of elliptic partial differential equations. Zbl 0984.65118
Machiels, L.; Maday, Y.; Patera, A. T.
10
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.
45
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.
18
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.
1
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
26
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.
17
1999
A posteriori finite element error bounds for nonlinear outputs of the Helmholtz equation. Zbl 0964.65119
Sarrate, J.; Peraire, J.; Patera, A.
13
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.
33
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.
85
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 computer-simulation surrogates for optimization and design: Error estimates and applications. Zbl 1017.65506
Otto, John; Paraschivoiu, Marius; Yesilyurt, Serhat; 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.
17
1995
Surrogates for numerical simulations; optimization of eddy-promoter heat exchangers. Zbl 0852.76074
Yeşilyurt, Serhat; Patera, Anthony T.
3
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.
3
1995
A new nonconforming approach to domain decomposition: The mortar element method. Zbl 0797.65094
Bernardi, C.; Maday, Y.; Patera, A. T.
271
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.
100
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.
46
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
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.
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
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
Parallel spectral element solution of the Stokes problem. Zbl 0709.76106
Fischer, Paul F.; Patera, Anthony T.
16
1991
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.
84
1990
A Legendre spectral element method for simulation of unsteady incompressible viscous free-surface flows. Zbl 0722.76052
Ho, Lee-Wing; Patera, Anthony T.
35
1990
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
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Cited by 3,187 Authors

71 Patera, Anthony T.
64 Rozza, Gianluigi
61 Maday, Yvon
40 Quarteroni, Alfio M.
34 Karniadakis, George Em
26 Fischer, Paul F.
26 Hesthaven, Jan S.
24 Haasdonk, Bernard
23 Díez, Pedro
23 Wohlmuth, Barbara I.
22 Manzoni, Andrea
22 Willcox, Karen E.
21 Nguyen, Ngoc Cuong
20 Benner, Peter
19 Bernardi, Christine
19 Huerta, Antonio
19 Rønquist, Einar M.
18 Farhat, Charbel H.
18 Veroy, Karen
17 Carlberg, Kevin T.
17 Grepl, Martin A.
17 Peherstorfer, Benjamin
17 Urban, Karsten
16 Chen, Yanlai
16 Ohlberger, Mario
15 Chamoin, Ludovic
15 Dehghan Takht Fooladi, Mehdi
15 Ladevèze, Pierre
15 Nouy, Anthony
15 Parés, Núria
15 Phillips, Timothy N.
15 Volkwein, Stefan
15 Yano, Masayuki
14 Ballarin, Francesco
14 Chinesta, Francisco
14 Henningson, Dan S.
14 Rapetti, Francesca
13 Abdulle, Assyr
13 Stabile, Giovanni
12 Chen, Jinru
12 Chung, Tsz Shun Eric
12 Efendiev, Yalchin R.
12 Iliescu, Traian
12 Jiang, Lijian
12 Navon, Ionel Michael
12 Schlatter, Philipp
12 Taddei, Tommaso
11 Chen, Peng
11 Deville, Michel O.
11 Huynh, Dinh Bao Phuong
10 Amsallem, David
10 Bertoluzza, Silvia
10 Bordas, Stéphane Pierre Alain
10 Deparis, Simone
10 Dušek, Jan
10 Knezevic, David J.
10 Li, Huiyuan
10 Paraschivoiu, Marius
10 Schwab, Christoph
10 Seshaiyer, Padmanabhan
10 Wall, Wolfgang A.
9 Ben Belgacem, Faker
9 Cohen, Albert
9 Fang, Fangxin
9 Gervasio, Paola
9 Luo, Zhendong
9 Narayan, Akil C.
9 Prud’homme, Christophe
9 Sherwin, Spencer J.
9 Wheeler, Mary Fanett
8 Chacón Rebollo, Tomás
8 Duczek, Sascha
8 Feng, Lihong
8 Fidkowski, Krzysztof J.
8 Giraldo, Francis X.
8 Gugercin, Serkan
8 Gunzburger, Max D.
8 Hanifi, Ardeshir
8 Hou, Thomas Yizhao
8 Karasözen, Bülent
8 Kopriva, David Alan
8 Kutz, J. Nathan
8 Li, Qiuqi
8 López, Juan Manuel
8 Marques, Francisco
8 Mula, Olga
8 Néron, David
8 Oden, John Tinsley
8 Orszag, Steven Alan
8 Pain, Christopher C.
8 Prudhomme, Serge
8 Rave, Stephan David
8 Smetana, Kathrin
8 Uzunca, Murat
8 Vohralík, Martin
8 Yotov, Ivan
7 Alla, Alessandro
7 Babuška, Ivo
7 Barone, Matthew F.
7 Brunton, Steven L.
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Cited in 203 Serials

361 Computer Methods in Applied Mechanics and Engineering
284 Journal of Computational Physics
96 Journal of Fluid Mechanics
88 International Journal for Numerical Methods in Engineering
85 Journal of Scientific Computing
83 SIAM Journal on Scientific Computing
82 Computers and Fluids
56 Computers & Mathematics with Applications
56 Computational Mechanics
51 Applied Numerical Mathematics
50 Journal of Computational and Applied Mathematics
44 Physics of Fluids
43 Advances in Computational Mathematics
37 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
36 Comptes Rendus. Mathématique. Académie des Sciences, Paris
34 Numerische Mathematik
33 International Journal for Numerical Methods in Fluids
29 Applied Mathematics and Computation
26 Mathematics of Computation
24 SIAM/ASA Journal on Uncertainty Quantification
22 Applied Mathematical Modelling
18 Archives of Computational Methods in Engineering
17 SIAM Journal on Numerical Analysis
16 European Journal of Mechanics. B. Fluids
15 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
15 International Journal of Computational Fluid Dynamics
14 Mathematical and Computer Modelling of Dynamical Systems
14 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
14 Multiscale Modeling & Simulation
12 Physics of Fluids, A
12 Computational Geosciences
11 Numerical Methods for Partial Differential Equations
10 Mathematics and Computers in Simulation
10 Engineering Analysis with Boundary Elements
9 Theoretical and Computational Fluid Dynamics
9 Applied Mathematics and Mechanics. (English Edition)
9 Communications in Computational Physics
8 Acta Mechanica
8 Wave Motion
8 BIT
8 International Journal of Numerical Methods for Heat & Fluid Flow
7 Journal of Mathematical Analysis and Applications
7 Calcolo
7 RAIRO. Modélisation Mathématique et Analyse Numérique
7 Numerical Algorithms
7 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
6 International Journal of Heat and Mass Transfer
6 Physica D
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6 Advances in Applied Mathematics and Mechanics
5 Applied Mathematics Letters
5 SIAM Journal on Matrix Analysis and Applications
5 Numerical Linear Algebra with Applications
5 Computational Methods in Applied Mathematics
5 GAMM-Mitteilungen
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5 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
4 Computer Physics Communications
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4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
4 Optimization and Engineering
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4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 Applicable Analysis
3 Classical and Quantum Gravity
3 Chaos, Solitons and Fractals
3 Computing
3 Meccanica
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3 SIAM Journal on Mathematical Analysis
3 Applied and Computational Harmonic Analysis
3 ETNA. Electronic Transactions on Numerical Analysis
3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3 European Journal of Mechanics. A. Solids
3 SIAM Journal on Applied Dynamical Systems
3 Structural and Multidisciplinary Optimization
3 Thai Journal of Mathematics
3 Inverse Problems in Science and Engineering
3 SIAM Journal on Financial Mathematics
3 Advances in Mathematical Physics
3 SMAI Journal of Computational Mathematics
3 Communications on Applied Mathematics and Computation
2 International Journal of Solids and Structures
2 Mathematical Methods in the Applied Sciences
2 Transport Theory and Statistical Physics
2 Journal of Approximation Theory
2 Journal of Differential Equations
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 SIAM Journal on Control and Optimization
2 Chinese Annals of Mathematics. Series B
2 Acta Applicandae Mathematicae
2 Mathematical and Computer Modelling
2 Annals of Operations Research
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