×
Compute Distance To:
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

122 Publications have been cited 4,413 times in 2,383 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.
448
2004
A spectral element method for fluid dynamics: Laminar flow in a channel expansion. Zbl 0535.76035
Patera, Anthony T.
444
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.
353
2008
A new nonconforming approach to domain decomposition: The mortar element method. Zbl 0797.65094
Bernardi, C.; Maday, Y.; Patera, A. T.
274
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.
169
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.
128
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.
121
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.
103
2007
Domain decomposition by the mortar element method. Zbl 0799.65124
Bernardi, C.; Maday, Y.; Patera, A. T.
100
1993
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.
87
1990
A posteriori finite element bounds for linear-functional outputs of elliptic partial differential equations. Zbl 0907.65102
Paraschivoiu, Marius; Peraire, Jaime; Patera, Anthony T.
86
1997
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
79
2012
A general multipurpose interpolation procedure: The magic points. Zbl 1184.65020
Maday, Yvon; Nguyen, Ngoc Cuong; Patera, Anthony T.; Pau, S. H.
72
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.
68
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.
54
2010
Spectral element multigrid. I: Formulation and numerical results. Zbl 0666.65055
Rønquist, Einar M.; Patera, Anthony T.
50
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
49
2002
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.
48
1993
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
An improved error bound for reduced basis approximation of linear parabolic problems. Zbl 1320.65129
Urban, Karsten; Patera, Anthony T.
47
2014
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.
46
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.
45
1986
A ‘best points’ interpolation method for efficient approximation of parametrized functions. Zbl 1163.65009
Nguyen, N. C.; Patera, A. T.; Peraire, J.
45
2008
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 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.
42
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.
41
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.
38
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.
38
2003
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
37
2015
“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 hierarchical duality approach to bounds for the outputs of partial differential equations. Zbl 0953.76054
Paraschivoiu, Marius; Patera, Anthony T.
33
1998
A blackbox reduced-basis output bound method for noncoercive linear problems. Zbl 1006.65124
Maday, Y.; Patera, A. T.; Rovas, D. V.
33
2002
Numerical simulation of singular solutions to the two-dimensional cubic Schrödinger equation. Zbl 0543.65081
Sulem, P. L.; Sulem, C.; Patera, A.
31
1984
An \(hp\) certified reduced basis method for parametrized parabolic partial differential equations. Zbl 1302.65223
Eftang, Jens L.; Knezevic, David J.; Patera, Anthony T.
29
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
28
2018
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.
27
2009
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
Port reduction in parametrized component static condensation: approximation and a posteriori error estimation. Zbl 1352.65495
Eftang, Jens L.; Patera, Anthony T.
25
2013
A Legendre spectral element method for the Stefan problem. Zbl 0632.65126
Rønquist, Einar M.; Patera, Anthony T.
24
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.
24
2011
A new error bound for reduced basis approximation of parabolic partial differential equations. Zbl 1242.35157
Urban, Karsten; Patera, Anthony T.
23
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.
22
2002
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.
21
2015
Finite-amplitude stability of axisymmetric pipe flow. Zbl 0518.76037
Patera, Anthony T.; Orszag, Steven A.
21
1981
A space-time \(hp\)-interpolation-based certified reduced basis method for Burgers’ equation. Zbl 1295.65098
Yano, Masayuki; Patera, Anthony T.; Urban, Karsten
20
2014
A posteriori error bounds for the empirical interpolation method. Zbl 1190.65018
Eftang, Jens L.; Grepl, Martin A.; Patera, Anthony T.
19
2010
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 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
Reduced basis approximation and a posteriori error estimation for stress intensity factors. Zbl 1194.74413
Huynh, D. B. P.; 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
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
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
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
Optimal local approximation spaces for component-based static condensation procedures. Zbl 1457.65216
Smetana, Kathrin; Patera, Anthony T.
16
2016
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
16
2017
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
PBDW state estimation: noisy observations; configuration-adaptive background spaces; physical interpretations. Zbl 1342.82116
Maday, Yvon; Patera, Anthony T.; Penn, James D.; Yano, Masayuki
14
2015
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
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
Parallel simulation of viscous incompressible flows. Zbl 0802.76065
Fischer, Paul F.; Patera, Anthony T.
13
1994
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
Numerical analysis of a posteriori finite element bounds for linear functional outputs. Zbl 1012.65109
Maday, Yvon; Patera, Anthony T.
11
2000
A space-time variational approach to hydrodynamic stability theory. Zbl 1371.76054
Yano, Masayuki; Patera, Anthony T.
11
2013
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
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.
10
2013
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
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 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
An LP empirical quadrature procedure for reduced basis treatment of parametrized nonlinear PDEs. Zbl 1440.65238
Yano, Masayuki; Patera, Anthony T.
9
2019
Reduced basis approximation and a posteriori error estimation for a Boltzmann model. Zbl 1178.76236
Patera, Anthony T.; Rønquist, Einar M.
9
2007
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.
9
1989
Fast direct Poisson solvers for high-order finite element discretizations in rectangularly decomposable domains. Zbl 0623.65111
Patera, Anthony T.
8
1986
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
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 computational procedure for part design. Zbl 0763.73079
Anagnostou, George; Rønquist, Einar M.; Patera, Anthony T.
7
1992
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
A localization strategy for data assimilation; application to state estimation and parameter estimation. Zbl 1426.65144
Taddei, Tommaso; Patera, Anthony T.
7
2018
A general Lagrangian formulation for the computation of a posteriori finite element bounds. Zbl 1141.76426
Patera, Anthony T.; Peraire, Jaume
7
2003
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
Spectral collocation methods. Zbl 0671.65093
Hussaini, M. Y.; Kopriva, D. A.; Patera, A. T.
7
1989
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
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
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
Certified reduced basis model validation: a frequentistic uncertainty framework. Zbl 1239.93120
Huynh, D. B. P.; Knezevic, D. J.; Patera, A. T.
6
2012
Randomized residual-based error estimators for parametrized equations. Zbl 1411.65148
Smetana, Kathrin; Zahm, Olivier; Patera, Anthony T.
5
2019
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
Subcritical transition to turbulence in planar shear flows. Zbl 0492.76063
Orszag, Steven A.; Patera, Anthony T.
5
1981
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.
5
2018
Fast bounds for outputs of parallel differential equations. Zbl 0924.65057
Paraschivoiu, Marius; Peraire, Jaime; Maday, Yvon; Patera, Anthony T.
5
1998
On the mortar element method: Generalizations and implementation. Zbl 0704.65077
Anagnostou, George; Maday, Yvon; Mavriplis, Catherine; Patera, Anthony T.
5
1990
A two-level parameterized model-order reduction approach for time-domain elastodynamics. Zbl 07415651
Bhouri, Mohamed Aziz; Patera, Anthony T.
2
2021
An LP empirical quadrature procedure for reduced basis treatment of parametrized nonlinear PDEs. Zbl 1440.65238
Yano, Masayuki; Patera, Anthony T.
9
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
28
2018
A localization strategy for data assimilation; application to state estimation and parameter estimation. Zbl 1426.65144
Taddei, Tommaso; Patera, Anthony T.
7
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.
5
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.
4
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
16
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.
16
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
37
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.
21
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
14
2015
An improved error bound for reduced basis approximation of linear parabolic problems. Zbl 1320.65129
Urban, Karsten; Patera, Anthony T.
47
2014
A space-time \(hp\)-interpolation-based certified reduced basis method for Burgers’ equation. Zbl 1295.65098
Yano, Masayuki; Patera, Anthony T.; Urban, Karsten
20
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.
41
2013
Port reduction in parametrized component static condensation: approximation and a posteriori error estimation. Zbl 1352.65495
Eftang, Jens L.; Patera, Anthony T.
25
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.
11
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.
10
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
79
2012
A new error bound for reduced basis approximation of parabolic partial differential equations. Zbl 1242.35157
Urban, Karsten; Patera, Anthony T.
23
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.
29
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.
24
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.
54
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.
42
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.
72
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.
46
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.
27
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.
353
2008
A ‘best points’ interpolation method for efficient approximation of parametrized functions. Zbl 1163.65009
Nguyen, N. C.; Patera, A. T.; Peraire, J.
45
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.
169
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.
103
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.
128
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.
121
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.
448
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.
38
2003
A general Lagrangian formulation for the computation of a posteriori finite element bounds. Zbl 1141.76426
Patera, Anthony T.; Peraire, Jaume
7
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
49
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.
38
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.
22
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.
86
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
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.
17
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
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.
274
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.
48
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.
87
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
...and 22 more Documents
all top 5

Cited by 3,336 Authors

71 Patera, Anthony T.
71 Rozza, Gianluigi
61 Maday, Yvon
40 Quarteroni, Alfio M.
34 Karniadakis, George Em
27 Hesthaven, Jan S.
26 Fischer, Paul F.
24 Haasdonk, Bernard
24 Willcox, Karen E.
23 Benner, Peter
23 Díez, Pedro
23 Manzoni, Andrea
23 Wohlmuth, Barbara I.
21 Farhat, Charbel H.
21 Nguyen, Ngoc Cuong
19 Bernardi, Christine
19 Huerta, Antonio
19 Rønquist, Einar M.
19 Veroy, Karen
18 Urban, Karsten
17 Ballarin, Francesco
17 Carlberg, Kevin T.
17 Chen, Yanlai
17 Grepl, Martin A.
17 Peherstorfer, Benjamin
17 Volkwein, Stefan
17 Yano, Masayuki
16 Chamoin, Ludovic
16 Dehghan Takht Fooladi, Mehdi
16 Ladevèze, Pierre
16 Ohlberger, Mario
15 Henningson, Dan S.
15 Nouy, Anthony
15 Parés, Núria
15 Phillips, Timothy N.
14 Chinesta, Francisco
14 Rapetti, Francesca
14 Stabile, Giovanni
13 Abdulle, Assyr
13 Chung, Tsz Shun Eric
12 Chen, Jinru
12 Efendiev, Yalchin R.
12 Iliescu, Traian
12 Jiang, Lijian
12 Navon, Ionel Michael
12 Schlatter, Philipp
12 Taddei, Tommaso
11 Ben Belgacem, Faker
11 Chen, Peng
11 Deparis, Simone
11 Deville, Michel O.
11 Huynh, Dinh Bao Phuong
10 Amsallem, David
10 Bertoluzza, Silvia
10 Bordas, Stéphane Pierre Alain
10 Dušek, Jan
10 Gervasio, Paola
10 Karasözen, Bülent
10 Knezevic, David J.
10 Li, Huiyuan
10 Paraschivoiu, Marius
10 Schwab, Christoph
10 Seshaiyer, Padmanabhan
10 Uzunca, Murat
10 Wall, Wolfgang A.
9 Cohen, Albert
9 Fang, Fangxin
9 Feng, Lihong
9 Hanifi, Ardeshir
9 Luo, Zhendong
9 Mula, Olga
9 Narayan, Akil C.
9 Néron, David
9 Prud’homme, Christophe
9 Prudhomme, Serge
9 Sherwin, Spencer J.
9 Smetana, Kathrin
9 Wheeler, Mary Fanett
8 Chacón Rebollo, Tomás
8 Dahmen, Wolfgang A.
8 Duczek, Sascha
8 Fidkowski, Krzysztof J.
8 Giraldo, Francis X.
8 Gugercin, Serkan
8 Gunzburger, Max D.
8 Hess, Martin Wilfried
8 Hou, Thomas Yizhao
8 Kopriva, David Alan
8 Kutz, J. Nathan
8 Li, Qiuqi
8 López, Juan Manuel
8 Marques, Francisco
8 Oden, John Tinsley
8 Orszag, Steven Alan
8 Pain, Christopher C.
8 Rave, Stephan David
8 Vohralík, Martin
8 Yotov, Ivan
7 Abbaszadeh, Mostafa
7 Alla, Alessandro
...and 3,236 more Authors
all top 5

Cited in 208 Serials

376 Computer Methods in Applied Mechanics and Engineering
294 Journal of Computational Physics
97 Journal of Fluid Mechanics
89 SIAM Journal on Scientific Computing
88 International Journal for Numerical Methods in Engineering
87 Journal of Scientific Computing
86 Computers and Fluids
59 Computers & Mathematics with Applications
56 Computational Mechanics
51 Journal of Computational and Applied Mathematics
51 Applied Numerical Mathematics
44 Physics of Fluids
43 Advances in Computational Mathematics
40 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
36 Comptes Rendus. Mathématique. Académie des Sciences, Paris
35 Numerische Mathematik
33 International Journal for Numerical Methods in Fluids
30 Applied Mathematics and Computation
26 Mathematics of Computation
24 SIAM/ASA Journal on Uncertainty Quantification
22 Applied Mathematical Modelling
21 SIAM Journal on Numerical Analysis
18 Archives of Computational Methods in Engineering
17 Multiscale Modeling & Simulation
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
12 Physics of Fluids, A
12 Engineering Analysis with Boundary Elements
12 Computational Geosciences
11 Mathematics and Computers in Simulation
11 Numerical Methods for Partial Differential Equations
11 Communications in Computational Physics
10 BIT
9 Acta Mechanica
9 Wave Motion
9 Theoretical and Computational Fluid Dynamics
9 Applied Mathematics and Mechanics. (English Edition)
9 Numerical Algorithms
8 International Journal of Numerical Methods for Heat & Fluid Flow
7 Journal of Mathematical Analysis and Applications
7 Calcolo
7 Physica D
7 RAIRO. Modélisation Mathématique et Analyse Numérique
7 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
7 Advances in Applied Mathematics and Mechanics
6 International Journal of Heat and Mass Transfer
6 COMPEL
6 ETNA. Electronic Transactions on Numerical Analysis
6 Mathematical Problems in Engineering
6 International Journal of Computational Methods
5 Computer Physics Communications
5 Constructive Approximation
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 Journal of Numerical Mathematics
5 GAMM-Mitteilungen
5 Journal of Mathematics in Industry
5 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
4 Fluid Dynamics
4 Journal of Engineering Mathematics
4 Computational Optimization and Applications
4 Applied and Computational Harmonic Analysis
4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
4 Optimization and Engineering
4 Mathematical Modelling and Analysis
4 Foundations of Computational Mathematics
4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
4 Communications on Applied Mathematics and Computation
3 Applicable Analysis
3 Classical and Quantum Gravity
3 Chaos, Solitons and Fractals
3 Computing
3 Meccanica
3 Studies in Applied Mathematics
3 SIAM Journal on Mathematical 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 Discrete and Continuous Dynamical Systems. Series B
3 SIAM Journal on Applied Dynamical Systems
3 Structural and Multidisciplinary Optimization
3 Thai Journal of Mathematics
3 Boundary Value Problems
3 Inverse Problems in Science and Engineering
3 SIAM Journal on Financial Mathematics
3 Advances in Mathematical Physics
3 SMAI Journal of Computational Mathematics
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
...and 108 more Serials
all top 5

Cited in 43 Fields

1,550 Numerical analysis (65-XX)
969 Fluid mechanics (76-XX)
668 Partial differential equations (35-XX)
426 Mechanics of deformable solids (74-XX)
90 Systems theory; control (93-XX)
80 Calculus of variations and optimal control; optimization (49-XX)
78 Computer science (68-XX)
76 Statistics (62-XX)
73 Optics, electromagnetic theory (78-XX)
70 Classical thermodynamics, heat transfer (80-XX)
59 Probability theory and stochastic processes (60-XX)
55 Approximations and expansions (41-XX)
52 Geophysics (86-XX)
51 Operations research, mathematical programming (90-XX)
51 Biology and other natural sciences (92-XX)
43 Dynamical systems and ergodic theory (37-XX)
30 Statistical mechanics, structure of matter (82-XX)
26 Ordinary differential equations (34-XX)
24 Linear and multilinear algebra; matrix theory (15-XX)
16 Harmonic analysis on Euclidean spaces (42-XX)
15 Quantum theory (81-XX)
13 Functional analysis (46-XX)
11 Mechanics of particles and systems (70-XX)
11 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
11 Information and communication theory, circuits (94-XX)
10 Operator theory (47-XX)
6 Integral equations (45-XX)
5 Real functions (26-XX)
4 General and overarching topics; collections (00-XX)
4 Combinatorics (05-XX)
4 Functions of a complex variable (30-XX)
4 Relativity and gravitational theory (83-XX)
3 History and biography (01-XX)
3 Mathematics education (97-XX)
2 Potential theory (31-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Special functions (33-XX)
2 Integral transforms, operational calculus (44-XX)
2 Differential geometry (53-XX)
2 Astronomy and astrophysics (85-XX)
1 Difference and functional equations (39-XX)
1 Convex and discrete geometry (52-XX)
1 Global analysis, analysis on manifolds (58-XX)

Citations by Year