## Nguyen, Ngoc Cuong

Compute Distance To:
 Author ID: nguyen.ngoc-cuong Published as: Nguyen, N. C.; Nguyen, Ngoc Cuong; Nguyen, Ngoc-Cuong; Nguyen, Ngoc C.; Nguyen, N.-C. more...less Homepage: http://www.mit.edu/~cuongng External Links: MGP · ORCID
 Documents Indexed: 72 Publications since 2004 Co-Authors: 43 Co-Authors with 51 Joint Publications 1,270 Co-Co-Authors
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### Co-Authors

 7 single-authored 16 Cockburn, Bernardo 12 Patera, Anthony T. 6 Kołodziej, Sławomir 6 Maday, Yvon 5 Vidal-Codina, F. 4 Freund, Robert M. 4 Gupta, Arjun Kumar 3 Fernandez, Pablo García 3 Gopalakrishnan, Jayadeep 3 Le Bris, Claude 3 Men, Han 3 Peraire, Jaime 3 Terrana, Sébastien 2 Boyaval, Sébastien 2 Giles, Michael B. 2 Grepl, Martin A. 2 Khoo, Boo Cheong 2 Koch, Gilbert 2 Li, Fengyan 2 Liu, Gui-Rong 2 Merdivenci Atici, Ferhan 2 Peraire, Jaume 2 Sánchez, Manuel A. 2 Veroy, Karen 1 Ahmed, Syed Ejaz 1 Ahn, Taeyong 1 Atici, Mustafa 1 Barrault, Maxime 1 Cancès, Eric 1 Çeşmelioğlu, Ayçıl 1 Christophe, Alexandra 1 Ciracì, C. 1 Ciuca, C. 1 Dadashova, Kamala 1 Díez, Pedro 1 Duraisamy, Karthik 1 Egorov, Ivan V. 1 Gu, Dongwei 1 Hoang, K. C. 1 Huynh, Dinh Bao Phuong 1 Huynh, L. N. T. 1 Kawai, Soshi 1 Knezevic, David J. 1 Kohn, Robert J. 1 Lele, Sanjiva K. 1 Lelièvre, Tony 1 Morgan, Brandon E. 1 Nott, David John 1 Parés, Núria 1 Parrilo, Pablo A. 1 Pau, George Shu Heng 1 Pau, S. H. 1 Pedersen, Sarah E. 1 Reitich, Fernando 1 Rozza, Gianluigi 1 Saa-Seoane, Joel 1 Sayas, Francisco-Javier 1 Solano, Manuel E. 1 Stanglmeier, M. 1 Tran, Minh Ngoc 1 Zhoroev, Tilekbek
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### Serials

 19 Journal of Computational Physics 7 Computer Methods in Applied Mechanics and Engineering 3 International Journal for Numerical Methods in Engineering 3 Journal of Scientific Computing 2 Mathematics of Computation 2 Advances in Mathematics 2 SIAM Journal on Scientific Computing 2 Calculus of Variations and Partial Differential Equations 2 Computational and Mathematical Biophysics 1 IMA Journal of Numerical Analysis 1 Journal of Fluid Mechanics 1 Acta Mathematica Vietnamica 1 Annales de l’Institut Fourier 1 Calcolo 1 Compositio Mathematica 1 Operations Research 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Numerical Analysis 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Computational Mathematics and Mathematical Physics 1 Potential Analysis 1 Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica 1 Far East Journal of Theoretical Statistics 1 Archives of Computational Methods in Engineering 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Inverse Problems in Science and Engineering 1 Thailand Statistician 1 Analysis & PDE 1 International Journal of Statistics & Economics 1 Advances and Applications in Statistical Sciences 1 Journal of Computational and Graphical Statistics 1 SIAM/ASA Journal on Uncertainty Quantification
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### Fields

 45 Numerical analysis (65-XX) 26 Partial differential equations (35-XX) 17 Fluid mechanics (76-XX) 13 Several complex variables and analytic spaces (32-XX) 11 Statistics (62-XX) 6 Differential geometry (53-XX) 5 Probability theory and stochastic processes (60-XX) 5 Mechanics of deformable solids (74-XX) 5 Optics, electromagnetic theory (78-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Biology and other natural sciences (92-XX) 3 Operations research, mathematical programming (90-XX) 2 Real functions (26-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX)

### Citations contained in zbMATH Open

61 Publications have been cited 2,068 times in 1,108 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.
2004
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.
2007
An implicit high-order hybridizable discontinuous Galerkin method for linear convection-diffusion equations. Zbl 1187.65110
Nguyen, N. C.; Peraire, J.; Cockburn, B.
2008
A hybridizable discontinuous Galerkin method for Stokes flow. Zbl 1227.76036
Nguyen, N. C.; Peraire, J.; Cockburn, B.
2010
An implicit high-order hybridizable discontinuous Galerkin method for the incompressible Navier-Stokes equations. Zbl 1391.76353
Nguyen, N. C.; Peraire, J.; Cockburn, B.
2011
Analysis of HDG methods for Stokes flow. Zbl 1410.76164
Cockburn, Bernardo; Gopalakrishnan, Jayadeep; Nguyen, Ngoc Cuong; Peraire, Jaume; Sayas, Francisco-Javier
2011
An implicit high-order hybridizable discontinuous Galerkin method for nonlinear convection-diffusion equations. Zbl 1177.65150
Nguyen, N. C.; Peraire, J.; Cockburn, B.
2009
A general multipurpose interpolation procedure: The magic points. Zbl 1184.65020
Maday, Yvon; Nguyen, Ngoc Cuong; Patera, Anthony T.; Pau, S. H.
2009
High-order implicit hybridizable discontinuous Galerkin methods for acoustics and elastodynamics. Zbl 1364.76093
Nguyen, N. C.; Peraire, J.; Cockburn, B.
2011
Hybridizable discontinuous Galerkin methods for the time-harmonic Maxwell’s equations. Zbl 1230.78031
Nguyen, N. C.; Peraire, J.; Cockburn, B.
2011
Hybridizable discontinuous Galerkin methods for partial differential equations in continuum mechanics. Zbl 1277.65082
Nguyen, N. C.; Peraire, J.
2012
Reduced basis techniques for stochastic problems. Zbl 1269.65005
Boyaval, S.; Le Bris, C.; Lelièvre, T.; Maday, Y.; Nguyen, N. C.; Patera, A. T.
2010
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.
2009
A ‘best points’ interpolation method for efficient approximation of parametrized functions. Zbl 1163.65009
Nguyen, N. C.; Patera, A. T.; Peraire, J.
2008
“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.
2006
A multiscale reduced-basis method for parametrized elliptic partial differential equations with multiple scales. Zbl 1155.65391
Nguyen, N. C.
2008
A comparison of HDG methods for Stokes flow. Zbl 1203.76079
Cockburn, B.; Nguyen, N. C.; Peraire, J.
2010
An efficient reduced-order modeling approach for nonlinear parametrized partial differential equations. Zbl 1162.65407
Nguyen, N. C.; Peraire, J.
2008
A high-order hybridizable discontinuous Galerkin method for elliptic interface problems. Zbl 1352.65513
Huynh, L. N. T.; Nguyen, N. C.; Peraire, J.; Khoo, B. C.
2013
Hybridizable discontinuous Galerkin methods. Zbl 1216.65160
Nguyen, N. C.; Peraire, J.; Cockburn, B.
2011
Subsolution theorem for the complex Hessian equation. Zbl 1295.32043
Nguyen, Ngoc Cuong
2012
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.
2009
Analysis of HDG methods for Oseen equations. Zbl 1366.76048
Cesmelioglu, Aycil; Cockburn, Bernardo; Nguyen, Ngoc Cuong; Peraire, Jaume
2013
Hölder continuous solutions to complex Hessian equations. Zbl 1302.32034
Nguyen, Ngoc Cuong
2014
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.
2011
An explicit hybridizable discontinuous Galerkin method for the acoustic wave equation. Zbl 1423.76280
Stanglmeier, M.; Nguyen, N. C.; Peraire, J.; Cockburn, B.
2016
A phase-based hybridizable discontinuous Galerkin method for the numerical solution of the Helmholtz equation. Zbl 1349.78071
Nguyen, N. C.; Peraire, J.; Reitich, F.; Cockburn, B.
2015
The hybridized discontinuous Galerkin method for implicit large-eddy simulation of transitional turbulent flows. Zbl 1375.76069
Fernandez, P.; Nguyen, N. C.; Peraire, J.
2017
Flow physics and RANS modelling of oblique shock/turbulent boundary layer interaction. Zbl 1291.76172
Morgan, Brandon; Duraisamy, K.; Nguyen, N.; Kawai, S.; Lele, S. K.
2013
A class of embedded discontinuous Galerkin methods for computational fluid dynamics. Zbl 1349.76245
Nguyen, N. C.; Peraire, J.; Cockburn, B.
2015
A model and variance reduction method for computing statistical outputs of stochastic elliptic partial differential equations. Zbl 1349.65635
Vidal-Codina, F.; Nguyen, N. C.; Giles, M. B.; Peraire, J.
2015
A study on discrete and discrete fractional pharmacokinetics-pharmacodynamics models for tumor growth and anti-cancer effects. Zbl 1425.92093
Atıcı, Ferhan M.; Atıcı, Mustafa; Nguyen, Ngoc; Zhoroev, Tilekbek; Koch, Gilbert
2019
The complex Monge-Ampère type equation on compact Hermitian manifolds and applications. Zbl 1337.53088
Nguyen, Ngoc Cuong
2016
Symplectic Hamiltonian HDG methods for wave propagation phenomena. Zbl 1380.65421
Sánchez, M. A.; Ciuca, C.; Nguyen, N. C.; Peraire, J.; Cockburn, B.
2017
A hybridizable discontinuous Galerkin method for computing nonlocal electromagnetic effects in three-dimensional metallic nanostructures. Zbl 1380.78012
Vidal-Codina, F.; Nguyen, N. C.; Oh, S.-H.; Peraire, J.
2018
A posteriori error estimation and basis adaptivity for reduced-basis approximation of nonaffine-parametrized linear elliptic partial differential equations. Zbl 1140.65077
Nguyen, N. C.
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.
2007
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.
2013
Hybridization and postprocessing techniques for mixed eigenfunctions. Zbl 1220.65159
Cockburn, B.; Gopalakrishnan, J.; Li, F.; Nguyen, N.-C.; Peraire, J.
2010
Weak solutions of complex Hessian equations on compact Hermitian manifolds. Zbl 1381.53136
Kołodziej, Sławomir; Nguyen, Ngoc Cuong
2016
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
2007
On the Hölder continuous subsolution problem for the complex Monge-Ampère equation. Zbl 1388.32029
Nguyen, Ngoc Cuong
2018
Pharmacokinetics and pharmacodynamics models of tumor growth and anticancer effects in discrete time. Zbl 1472.92118
Atıcı, Ferhan M.; Nguyen, Ngoc; Dadashova, Kamala; Pedersen, Sarah E.; Koch, Gilbert
2020
Spectral approximations by the HDG method. Zbl 1311.65137
Gopalakrishnan, J.; Li, F.; Nguyen, N.-C.; Peraire, J.
2015
On the Hölder continuous subsolution problem for the complex Monge-Ampère equation. II. Zbl 1442.32045
Nguyen, Ngoc Cuong
2020
Gaussian functional regression for output prediction: model assimilation and experimental design. Zbl 1351.62094
Nguyen, N. C.; Peraire, J.
2016
Bandgap optimization of two-dimensional photonic crystals using semidefinite programming and subspace methods. Zbl 1192.82104
Men, H.; Nguyen, N. C.; Freund, R. M.; Parrilo, P. A.; Peraire, J.
2010
A hybridizable discontinuous Galerkin method for both thin and 3D nonlinear elastic structures. Zbl 1441.74036
Terrana, S.; Nguyen, N. C.; Bonet, J.; Peraire, J.
2019
Computing parametrized solutions for plasmonic nanogap structures. Zbl 1406.78027
Vidal-Codina, F.; Nguyen, N. C.; Peraire, J.
2018
Stability and regularity of solutions of the Monge-Ampère equation on Hermitian manifolds. Zbl 1427.53089
Kołodziej, Sławomir; Nguyen, Ngoc Cuong
2019
A remark on the continuous subsolution problem for the complex Monge-Ampère equation. Zbl 1436.32119
Kołodziej, Sławomir; Nguyen, Ngoc Cuong
2020
Continuous solutions to Monge-Ampère equations on Hermitian manifolds for measures dominated by capacity. Zbl 1464.32052
Kołodziej, Sławomir; Nguyen, Ngoc Cuong
2021
Functional regression for state prediction using linear PDE models and observations. Zbl 1350.60038
Nguyen, N. C.; Men, H.; Freund, R. M.; Peraire, J.
2016
The Dirichlet problem for a complex Hessian equation on compact Hermitian manifolds with boundary. Zbl 1409.53060
Gu, Dongwei; Nguyen, Ngoc Cuong
2018
Hybridized discontinuous Galerkin methods for wave propagation. Zbl 1407.65184
Fernandez, P.; Christophe, A.; Terrana, S.; Nguyen, N. C.; Peraire, J.
2018
Fabrication-adaptive optimization with an application to photonic crystal design. Zbl 1295.90084
Men, Han; Freund, Robert M.; Nguyen, Ngoc C.; Saa-Seoane, Joel; Peraire, Jaime
2014
Gaussian functional regression for linear partial differential equations. Zbl 1423.35362
Nguyen, N. C.; Peraire, J.
2015
Hölder continuous solutions of the Monge-Ampère equation on compact Hermitian manifolds. (Solutions continues Höldériennes de l’équation de Monge-Ampère sur les variétés hermitiennes compactes.) Zbl 1419.53070
Kołodziej, Sławomir; Nguyen, Ngoc Cuong
2018
Symplectic Hamiltonian finite element methods for linear elastodynamics. Zbl 07414362
Sánchez, Manuel A.; Cockburn, Bernardo; Nguyen, Ngoc-Cuong; Peraire, Jaime
2021
An empirical interpolation and model-variance reduction method for computing statistical outputs of parametrized stochastic partial differential equations. Zbl 1386.65044
Vidal-Codina, F.; Nguyen, N. C.; Giles, M. B.; Peraire, J.
2016
An inequality between complex Hessian measures of Hölder continuous $$m$$-subharmonic functions and capacity. Zbl 1452.32038
Kołodziej, Sławomir; Nguyen, Ngoc Cuong
2020
Continuous solutions to Monge-Ampère equations on Hermitian manifolds for measures dominated by capacity. Zbl 1464.32052
Kołodziej, Sławomir; Nguyen, Ngoc Cuong
2021
Symplectic Hamiltonian finite element methods for linear elastodynamics. Zbl 07414362
Sánchez, Manuel A.; Cockburn, Bernardo; Nguyen, Ngoc-Cuong; Peraire, Jaime
2021
Pharmacokinetics and pharmacodynamics models of tumor growth and anticancer effects in discrete time. Zbl 1472.92118
Atıcı, Ferhan M.; Nguyen, Ngoc; Dadashova, Kamala; Pedersen, Sarah E.; Koch, Gilbert
2020
On the Hölder continuous subsolution problem for the complex Monge-Ampère equation. II. Zbl 1442.32045
Nguyen, Ngoc Cuong
2020
A remark on the continuous subsolution problem for the complex Monge-Ampère equation. Zbl 1436.32119
Kołodziej, Sławomir; Nguyen, Ngoc Cuong
2020
An inequality between complex Hessian measures of Hölder continuous $$m$$-subharmonic functions and capacity. Zbl 1452.32038
Kołodziej, Sławomir; Nguyen, Ngoc Cuong
2020
A study on discrete and discrete fractional pharmacokinetics-pharmacodynamics models for tumor growth and anti-cancer effects. Zbl 1425.92093
Atıcı, Ferhan M.; Atıcı, Mustafa; Nguyen, Ngoc; Zhoroev, Tilekbek; Koch, Gilbert
2019
A hybridizable discontinuous Galerkin method for both thin and 3D nonlinear elastic structures. Zbl 1441.74036
Terrana, S.; Nguyen, N. C.; Bonet, J.; Peraire, J.
2019
Stability and regularity of solutions of the Monge-Ampère equation on Hermitian manifolds. Zbl 1427.53089
Kołodziej, Sławomir; Nguyen, Ngoc Cuong
2019
A hybridizable discontinuous Galerkin method for computing nonlocal electromagnetic effects in three-dimensional metallic nanostructures. Zbl 1380.78012
Vidal-Codina, F.; Nguyen, N. C.; Oh, S.-H.; Peraire, J.
2018
On the Hölder continuous subsolution problem for the complex Monge-Ampère equation. Zbl 1388.32029
Nguyen, Ngoc Cuong
2018
Computing parametrized solutions for plasmonic nanogap structures. Zbl 1406.78027
Vidal-Codina, F.; Nguyen, N. C.; Peraire, J.
2018
The Dirichlet problem for a complex Hessian equation on compact Hermitian manifolds with boundary. Zbl 1409.53060
Gu, Dongwei; Nguyen, Ngoc Cuong
2018
Hybridized discontinuous Galerkin methods for wave propagation. Zbl 1407.65184
Fernandez, P.; Christophe, A.; Terrana, S.; Nguyen, N. C.; Peraire, J.
2018
Hölder continuous solutions of the Monge-Ampère equation on compact Hermitian manifolds. (Solutions continues Höldériennes de l’équation de Monge-Ampère sur les variétés hermitiennes compactes.) Zbl 1419.53070
Kołodziej, Sławomir; Nguyen, Ngoc Cuong
2018
The hybridized discontinuous Galerkin method for implicit large-eddy simulation of transitional turbulent flows. Zbl 1375.76069
Fernandez, P.; Nguyen, N. C.; Peraire, J.
2017
Symplectic Hamiltonian HDG methods for wave propagation phenomena. Zbl 1380.65421
Sánchez, M. A.; Ciuca, C.; Nguyen, N. C.; Peraire, J.; Cockburn, B.
2017
An explicit hybridizable discontinuous Galerkin method for the acoustic wave equation. Zbl 1423.76280
Stanglmeier, M.; Nguyen, N. C.; Peraire, J.; Cockburn, B.
2016
The complex Monge-Ampère type equation on compact Hermitian manifolds and applications. Zbl 1337.53088
Nguyen, Ngoc Cuong
2016
Weak solutions of complex Hessian equations on compact Hermitian manifolds. Zbl 1381.53136
Kołodziej, Sławomir; Nguyen, Ngoc Cuong
2016
Gaussian functional regression for output prediction: model assimilation and experimental design. Zbl 1351.62094
Nguyen, N. C.; Peraire, J.
2016
Functional regression for state prediction using linear PDE models and observations. Zbl 1350.60038
Nguyen, N. C.; Men, H.; Freund, R. M.; Peraire, J.
2016
An empirical interpolation and model-variance reduction method for computing statistical outputs of parametrized stochastic partial differential equations. Zbl 1386.65044
Vidal-Codina, F.; Nguyen, N. C.; Giles, M. B.; Peraire, J.
2016
A phase-based hybridizable discontinuous Galerkin method for the numerical solution of the Helmholtz equation. Zbl 1349.78071
Nguyen, N. C.; Peraire, J.; Reitich, F.; Cockburn, B.
2015
A class of embedded discontinuous Galerkin methods for computational fluid dynamics. Zbl 1349.76245
Nguyen, N. C.; Peraire, J.; Cockburn, B.
2015
A model and variance reduction method for computing statistical outputs of stochastic elliptic partial differential equations. Zbl 1349.65635
Vidal-Codina, F.; Nguyen, N. C.; Giles, M. B.; Peraire, J.
2015
Spectral approximations by the HDG method. Zbl 1311.65137
Gopalakrishnan, J.; Li, F.; Nguyen, N.-C.; Peraire, J.
2015
Gaussian functional regression for linear partial differential equations. Zbl 1423.35362
Nguyen, N. C.; Peraire, J.
2015
Hölder continuous solutions to complex Hessian equations. Zbl 1302.32034
Nguyen, Ngoc Cuong
2014
Fabrication-adaptive optimization with an application to photonic crystal design. Zbl 1295.90084
Men, Han; Freund, Robert M.; Nguyen, Ngoc C.; Saa-Seoane, Joel; Peraire, Jaime
2014
A high-order hybridizable discontinuous Galerkin method for elliptic interface problems. Zbl 1352.65513
Huynh, L. N. T.; Nguyen, N. C.; Peraire, J.; Khoo, B. C.
2013
Analysis of HDG methods for Oseen equations. Zbl 1366.76048
Cesmelioglu, Aycil; Cockburn, Bernardo; Nguyen, Ngoc Cuong; Peraire, Jaume
2013
Flow physics and RANS modelling of oblique shock/turbulent boundary layer interaction. Zbl 1291.76172
Morgan, Brandon; Duraisamy, K.; Nguyen, N.; Kawai, S.; Lele, S. K.
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.
2013
Hybridizable discontinuous Galerkin methods for partial differential equations in continuum mechanics. Zbl 1277.65082
Nguyen, N. C.; Peraire, J.
2012
Subsolution theorem for the complex Hessian equation. Zbl 1295.32043
Nguyen, Ngoc Cuong
2012
An implicit high-order hybridizable discontinuous Galerkin method for the incompressible Navier-Stokes equations. Zbl 1391.76353
Nguyen, N. C.; Peraire, J.; Cockburn, B.
2011
Analysis of HDG methods for Stokes flow. Zbl 1410.76164
Cockburn, Bernardo; Gopalakrishnan, Jayadeep; Nguyen, Ngoc Cuong; Peraire, Jaume; Sayas, Francisco-Javier
2011
High-order implicit hybridizable discontinuous Galerkin methods for acoustics and elastodynamics. Zbl 1364.76093
Nguyen, N. C.; Peraire, J.; Cockburn, B.
2011
Hybridizable discontinuous Galerkin methods for the time-harmonic Maxwell’s equations. Zbl 1230.78031
Nguyen, N. C.; Peraire, J.; Cockburn, B.
2011
Hybridizable discontinuous Galerkin methods. Zbl 1216.65160
Nguyen, N. C.; Peraire, J.; Cockburn, B.
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.
2011
A hybridizable discontinuous Galerkin method for Stokes flow. Zbl 1227.76036
Nguyen, N. C.; Peraire, J.; Cockburn, B.
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.
2010
A comparison of HDG methods for Stokes flow. Zbl 1203.76079
Cockburn, B.; Nguyen, N. C.; Peraire, J.
2010
Hybridization and postprocessing techniques for mixed eigenfunctions. Zbl 1220.65159
Cockburn, B.; Gopalakrishnan, J.; Li, F.; Nguyen, N.-C.; Peraire, J.
2010
Bandgap optimization of two-dimensional photonic crystals using semidefinite programming and subspace methods. Zbl 1192.82104
Men, H.; Nguyen, N. C.; Freund, R. M.; Parrilo, P. A.; Peraire, J.
2010
An implicit high-order hybridizable discontinuous Galerkin method for nonlinear convection-diffusion equations. Zbl 1177.65150
Nguyen, N. C.; Peraire, J.; Cockburn, B.
2009
A general multipurpose interpolation procedure: The magic points. Zbl 1184.65020
Maday, Yvon; Nguyen, Ngoc Cuong; Patera, Anthony T.; Pau, S. H.
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.
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.
2009
An implicit high-order hybridizable discontinuous Galerkin method for linear convection-diffusion equations. Zbl 1187.65110
Nguyen, N. C.; Peraire, J.; Cockburn, B.
2008
A ‘best points’ interpolation method for efficient approximation of parametrized functions. Zbl 1163.65009
Nguyen, N. C.; Patera, A. T.; Peraire, J.
2008
A multiscale reduced-basis method for parametrized elliptic partial differential equations with multiple scales. Zbl 1155.65391
Nguyen, N. C.
2008
An efficient reduced-order modeling approach for nonlinear parametrized partial differential equations. Zbl 1162.65407
Nguyen, N. C.; Peraire, J.
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.
2007
A posteriori error estimation and basis adaptivity for reduced-basis approximation of nonaffine-parametrized linear elliptic partial differential equations. Zbl 1140.65077
Nguyen, N. C.
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.
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
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.
2006
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.
2004
all top 5

### Cited by 1,545 Authors

 50 Rozza, Gianluigi 46 Nguyen, Ngoc Cuong 38 Cockburn, Bernardo 30 Patera, Anthony T. 21 Quarteroni, Alfio M. 20 Maday, Yvon 18 Manzoni, Andrea 17 Chen, Yanlai 17 Hesthaven, Jan S. 17 Willcox, Karen E. 16 Haasdonk, Bernard 16 Zhang, Yangwen 15 Carlberg, Kevin T. 15 Ern, Alexandre 15 Huerta, Antonio 14 Ballarin, Francesco 14 Benner, Peter 14 Chung, Tsz Shun Eric 14 Nouy, Anthony 14 Volkwein, Stefan 13 Singler, John R. 12 Farhat, Charbel H. 12 Peherstorfer, Benjamin 11 Abdulle, Assyr 11 Ohlberger, Mario 10 Chen, Gang 10 Fidkowski, Krzysztof J. 10 Kronbichler, Martin 10 Yano, Masayuki 9 Chen, Peng 9 Grepl, Martin A. 9 Navon, Ionel Michael 9 Rhebergen, Sander 9 Sevilla, Ruben 9 Stabile, Giovanni 9 Urban, Karsten 8 Bordas, Stéphane Pierre Alain 8 Di Pietro, Daniele Antonio 8 Fu, Guosheng 8 Huynh, Dinh Bao Phuong 8 Jiang, Lijian 8 Karasözen, Bülent 8 Knezevic, David J. 8 Kołodziej, Sławomir 8 Lanteri, Stéphane 8 Qiu, Weifeng 8 Schütz, Jochen 8 Solano, Manuel E. 8 Uzunca, Murat 8 Veroy, Karen 7 Bonet, Javier 7 Bui-Thanh, Tan 7 Chaturantabut, Saifon 7 Deparis, Simone 7 Fang, Fangxin 7 Feng, Lihong 7 Giacomini, Matteo 7 Gil, Antonio J. 7 Gugercin, Serkan 7 Karatzas, Efthymios N. 7 Kutz, J. Nathan 7 Sayas, Francisco-Javier 7 Shi, Ke 6 Amsallem, David 6 Boyaval, Sébastien 6 Brunton, Steven L. 6 Cheng, Jian 6 Dal Santo, Niccolò 6 Dumbser, Michael 6 Eftang, Jens L. 6 Fernández-Méndez, Sonia 6 Kerfriden, Pierre 6 Le Bris, Claude 6 Lee, Chun Hean 6 Li, Liang 6 Liu, Tiegang 6 Néron, David 6 Nguyen, van Thien 6 Pain, Christopher C. 6 Peraire, Jaime 6 Ryckelynck, David 6 Shen, Jiguang 6 Smetana, Kathrin 6 Wall, Wolfgang A. 6 Xiao, Dianshi 5 Alla, Alessandro 5 Casenave, Fabien 5 Chinesta, Francisco 5 Codina, Ramon 5 Crivellini, Andrea 5 Díez, Pedro 5 Du, Jie 5 Dutra do Carmo, Eduardo Gomes 5 Efendiev, Yalchin R. 5 Gunzburger, Max D. 5 Hu, Weiwei 5 Iapichino, Laura 5 Khoo, Boo Cheong 5 Ladevèze, Pierre 5 Li, Qiuqi ...and 1,445 more Authors
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### Cited in 149 Serials

 153 Computer Methods in Applied Mechanics and Engineering 153 Journal of Computational Physics 90 Journal of Scientific Computing 59 SIAM Journal on Scientific Computing 47 Computers & Mathematics with Applications 44 International Journal for Numerical Methods in Engineering 34 Advances in Computational Mathematics 28 Journal of Computational and Applied Mathematics 26 Computers and Fluids 26 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 21 Mathematics of Computation 20 Computational Mechanics 18 SIAM Journal on Numerical Analysis 15 Comptes Rendus. Mathématique. Académie des Sciences, Paris 14 SIAM/ASA Journal on Uncertainty Quantification 12 Communications in Computational Physics 10 Applied Numerical Mathematics 10 Mathematical and Computer Modelling of Dynamical Systems 10 Multiscale Modeling & Simulation 8 Applied Mathematics and Computation 8 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 8 Archives of Computational Methods in Engineering 7 Computational Methods in Applied Mathematics 7 Advances in Applied Mathematics and Mechanics 6 Numerische Mathematik 6 Numerical Methods for Partial Differential Equations 6 International Journal of Computational Fluid Dynamics 6 Complex Analysis and Operator Theory 5 Mathematics and Computers in Simulation 5 International Journal of Mathematics 5 Applied Mathematical Modelling 5 Communications on Applied Mathematics and Computation 4 Journal of Mathematical Analysis and Applications 4 Results in Mathematics 4 COMPEL 4 SIAM Journal on Matrix Analysis and Applications 4 ETNA. Electronic Transactions on Numerical Analysis 4 Computational Geosciences 4 Complex Variables and Elliptic Equations 3 Annales de l’Institut Fourier 3 Applied Mathematics Letters 3 Computational Optimization and Applications 3 Calculus of Variations and Partial Differential Equations 3 Computational and Applied Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 3 Optimization and Engineering 3 Thai Journal of Mathematics 3 International Journal of Computational Methods 3 Inverse Problems in Science and Engineering 3 Science China. Mathematics 3 Journal of Mathematics in Industry 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Results in Applied Mathematics 2 Classical and Quantum Gravity 2 International Journal for Numerical Methods in Fluids 2 Journal of Differential Equations 2 SIAM Journal on Control and Optimization 2 Chinese Annals of Mathematics. Series B 2 Acta Applicandae Mathematicae 2 SIAM Review 2 Potential Analysis 2 Engineering Analysis with Boundary Elements 2 Mathematical Problems in Engineering 2 Acta Mathematica Sinica. English Series 2 Foundations of Computational Mathematics 2 Journal of Numerical Mathematics 2 Oberwolfach Reports 2 Advances in Mathematical Physics 2 Communications in Applied and Industrial Mathematics 2 S$$\vec{\text{e}}$$MA Journal 2 Journal de l’École Polytechnique – Mathématiques 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 2 SMAI Journal of Computational Mathematics 2 Electronic Research Archive 1 Acta Mechanica 1 Applicable Analysis 1 Computer Physics Communications 1 International Journal of Engineering Science 1 Journal of Engineering Mathematics 1 Mathematical Methods in the Applied Sciences 1 ACM Transactions on Mathematical Software 1 Acta Mathematica Vietnamica 1 Advances in Mathematics 1 Annales Polonici Mathematici 1 Automatica 1 Calcolo 1 Compositio Mathematica 1 Inventiones Mathematicae 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Meccanica 1 Numerical Functional Analysis and Optimization 1 Operations Research 1 Bulletin of the Iranian Mathematical Society 1 Physica D 1 Constructive Approximation 1 Journal of the American Mathematical Society 1 MCSS. Mathematics of Control, Signals, and Systems ...and 49 more Serials
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### Cited in 39 Fields

 875 Numerical analysis (65-XX) 376 Partial differential equations (35-XX) 359 Fluid mechanics (76-XX) 160 Mechanics of deformable solids (74-XX) 61 Optics, electromagnetic theory (78-XX) 57 Calculus of variations and optimal control; optimization (49-XX) 55 Several complex variables and analytic spaces (32-XX) 51 Systems theory; control (93-XX) 46 Statistics (62-XX) 32 Computer science (68-XX) 28 Probability theory and stochastic processes (60-XX) 26 Dynamical systems and ergodic theory (37-XX) 26 Operations research, mathematical programming (90-XX) 25 Approximations and expansions (41-XX) 23 Biology and other natural sciences (92-XX) 21 Statistical mechanics, structure of matter (82-XX) 20 Classical thermodynamics, heat transfer (80-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 17 Geophysics (86-XX) 16 Differential geometry (53-XX) 10 Ordinary differential equations (34-XX) 7 Potential theory (31-XX) 7 Operator theory (47-XX) 7 Quantum theory (81-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Real functions (26-XX) 4 Functions of a complex variable (30-XX) 3 Mechanics of particles and systems (70-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Relativity and gravitational theory (83-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 2 Mathematics education (97-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX)