Edit Profile (opens in new tab) Nguyen, Ngoc Cuong Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1061.65118Barrault, Maxime; Maday, Yvon; Nguyen, Ngoc Cuong; Patera, Anthony T. 427 2004 Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations. Zbl 1142.65078Grepl, Martin A.; Maday, Yvon; Nguyen, Ngoc C.; Patera, Anthony T. 167 2007 An implicit high-order hybridizable discontinuous Galerkin method for linear convection-diffusion equations. Zbl 1187.65110Nguyen, N. C.; Peraire, J.; Cockburn, B. 124 2008 A hybridizable discontinuous Galerkin method for Stokes flow. Zbl 1227.76036Nguyen, N. C.; Peraire, J.; Cockburn, B. 112 2010 An implicit high-order hybridizable discontinuous Galerkin method for the incompressible Navier-Stokes equations. Zbl 1391.76353Nguyen, N. C.; Peraire, J.; Cockburn, B. 111 2011 Analysis of HDG methods for Stokes flow. Zbl 1410.76164Cockburn, Bernardo; Gopalakrishnan, Jayadeep; Nguyen, Ngoc Cuong; Peraire, Jaume; Sayas, Francisco-Javier 98 2011 An implicit high-order hybridizable discontinuous Galerkin method for nonlinear convection-diffusion equations. Zbl 1177.65150Nguyen, N. C.; Peraire, J.; Cockburn, B. 89 2009 A general multipurpose interpolation procedure: The magic points. Zbl 1184.65020Maday, Yvon; Nguyen, Ngoc Cuong; Patera, Anthony T.; Pau, S. H. 68 2009 High-order implicit hybridizable discontinuous Galerkin methods for acoustics and elastodynamics. Zbl 1364.76093Nguyen, N. C.; Peraire, J.; Cockburn, B. 66 2011 Hybridizable discontinuous Galerkin methods for the time-harmonic Maxwell’s equations. Zbl 1230.78031Nguyen, N. C.; Peraire, J.; Cockburn, B. 56 2011 Hybridizable discontinuous Galerkin methods for partial differential equations in continuum mechanics. Zbl 1277.65082Nguyen, N. C.; Peraire, J. 53 2012 Reduced basis techniques for stochastic problems. Zbl 1269.65005Boyaval, S.; Le Bris, C.; Lelièvre, T.; Maday, Y.; Nguyen, N. C.; Patera, A. T. 47 2010 Reduced basis approximation and a posteriori error estimation for the time-dependent viscous Burgers’ equation. Zbl 1178.65109Nguyen, Ngoc-Cuong; Rozza, Gianluigi; Patera, Anthony T. 45 2009 A ‘best points’ interpolation method for efficient approximation of parametrized functions. Zbl 1163.65009Nguyen, N. C.; Patera, A. T.; Peraire, J. 44 2008 “Natural norm” a posteriori error estimators for reduced basis approximations. Zbl 1100.65094Sen, S.; Veroy, K.; Huynh, D. B. P.; Deparis, S.; Nguyen, N. C.; Patera, A. T. 36 2006 A multiscale reduced-basis method for parametrized elliptic partial differential equations with multiple scales. Zbl 1155.65391Nguyen, N. C. 35 2008 A comparison of HDG methods for Stokes flow. Zbl 1203.76079Cockburn, B.; Nguyen, N. C.; Peraire, J. 31 2010 An efficient reduced-order modeling approach for nonlinear parametrized partial differential equations. Zbl 1162.65407Nguyen, N. C.; Peraire, J. 29 2008 A high-order hybridizable discontinuous Galerkin method for elliptic interface problems. Zbl 1352.65513Huynh, L. N. T.; Nguyen, N. C.; Peraire, J.; Khoo, B. C. 27 2013 Hybridizable discontinuous Galerkin methods. Zbl 1216.65160Nguyen, N. C.; Peraire, J.; Cockburn, B. 26 2011 Subsolution theorem for the complex Hessian equation. Zbl 1295.32043Nguyen, Ngoc Cuong 26 2012 A reduced basis approach for variational problems with stochastic parameters: application to heat conduction with variable Robin coefficient. Zbl 1230.80013Boyaval, Sébastien; Le Bris, Claude; Maday, Yvon; Nguyen, Ngoc Cuong; Patera, Anthony T. 26 2009 Analysis of HDG methods for Oseen equations. Zbl 1366.76048Cesmelioglu, Aycil; Cockburn, Bernardo; Nguyen, Ngoc Cuong; Peraire, Jaume 24 2013 Hölder continuous solutions to complex Hessian equations. Zbl 1302.32034Nguyen, Ngoc Cuong 24 2014 Reduced basis approximation and a posteriori error estimation for the parametrized unsteady Boussinesq equations. Zbl 1279.76023Knezevic, David J.; Nguyen, Ngoc-Cuong; Patera, Anthony T. 23 2011 An explicit hybridizable discontinuous Galerkin method for the acoustic wave equation. Zbl 1423.76280Stanglmeier, M.; Nguyen, N. C.; Peraire, J.; Cockburn, B. 21 2016 A phase-based hybridizable discontinuous Galerkin method for the numerical solution of the Helmholtz equation. Zbl 1349.78071Nguyen, N. C.; Peraire, J.; Reitich, F.; Cockburn, B. 17 2015 The hybridized discontinuous Galerkin method for implicit large-eddy simulation of transitional turbulent flows. Zbl 1375.76069Fernandez, P.; Nguyen, N. C.; Peraire, J. 15 2017 Flow physics and RANS modelling of oblique shock/turbulent boundary layer interaction. Zbl 1291.76172Morgan, Brandon; Duraisamy, K.; Nguyen, N.; Kawai, S.; Lele, S. K. 14 2013 A class of embedded discontinuous Galerkin methods for computational fluid dynamics. Zbl 1349.76245Nguyen, N. C.; Peraire, J.; Cockburn, B. 13 2015 A model and variance reduction method for computing statistical outputs of stochastic elliptic partial differential equations. Zbl 1349.65635Vidal-Codina, F.; Nguyen, N. C.; Giles, M. B.; Peraire, J. 12 2015 A study on discrete and discrete fractional pharmacokinetics-pharmacodynamics models for tumor growth and anti-cancer effects. Zbl 1425.92093Atıcı, Ferhan M.; Atıcı, Mustafa; Nguyen, Ngoc; Zhoroev, Tilekbek; Koch, Gilbert 12 2019 The complex Monge-Ampère type equation on compact Hermitian manifolds and applications. Zbl 1337.53088Nguyen, Ngoc Cuong 11 2016 Symplectic Hamiltonian HDG methods for wave propagation phenomena. Zbl 1380.65421Sánchez, M. A.; Ciuca, C.; Nguyen, N. C.; Peraire, J.; Cockburn, B. 11 2017 A hybridizable discontinuous Galerkin method for computing nonlocal electromagnetic effects in three-dimensional metallic nanostructures. Zbl 1380.78012Vidal-Codina, F.; Nguyen, N. C.; Oh, S.-H.; Peraire, J. 11 2018 A posteriori error estimation and basis adaptivity for reduced-basis approximation of nonaffine-parametrized linear elliptic partial differential equations. Zbl 1140.65077Nguyen, N. C. 11 2007 Certified rapid solution of partial differential equations for real-time parameter estimation and optimization. Zbl 1228.65223Grepl, Martin A.; Nguyen, Ngoc C.; Veroy, Karen; Patera, Anthony T.; Liu, Gui R. 10 2007 Rapid identification of material properties of the interface tissue in dental implant systems using reduced basis method. Zbl 1300.92047Hoang, K. C.; Khoo, B. C.; Liu, G. R.; Nguyen, N. C.; Patera, A. T. 9 2013 Hybridization and postprocessing techniques for mixed eigenfunctions. Zbl 1220.65159Cockburn, B.; Gopalakrishnan, J.; Li, F.; Nguyen, N.-C.; Peraire, J. 8 2010 Weak solutions of complex Hessian equations on compact Hermitian manifolds. Zbl 1381.53136Kołodziej, Sławomir; Nguyen, Ngoc Cuong 8 2016 Feasibility and competitiveness of a reduced basis approach for rapid electronic structure calculations in quantum chemistry. Zbl 1330.81022Cancès, Éric; Le Bris, Claude; Maday, Yvon; Nguyen, Ngoc Cuong; Patera, Anthony T.; Pau, George Shu Heng 8 2007 On the Hölder continuous subsolution problem for the complex Monge-Ampère equation. Zbl 1388.32029Nguyen, Ngoc Cuong 7 2018 Pharmacokinetics and pharmacodynamics models of tumor growth and anticancer effects in discrete time. Zbl 1472.92118Atıcı, Ferhan M.; Nguyen, Ngoc; Dadashova, Kamala; Pedersen, Sarah E.; Koch, Gilbert 6 2020 Spectral approximations by the HDG method. Zbl 1311.65137Gopalakrishnan, J.; Li, F.; Nguyen, N.-C.; Peraire, J. 6 2015 On the Hölder continuous subsolution problem for the complex Monge-Ampère equation. II. Zbl 1442.32045Nguyen, Ngoc Cuong 6 2020 Gaussian functional regression for output prediction: model assimilation and experimental design. Zbl 1351.62094Nguyen, N. C.; Peraire, J. 4 2016 Bandgap optimization of two-dimensional photonic crystals using semidefinite programming and subspace methods. Zbl 1192.82104Men, H.; Nguyen, N. C.; Freund, R. M.; Parrilo, P. A.; Peraire, J. 4 2010 A hybridizable discontinuous Galerkin method for both thin and 3D nonlinear elastic structures. Zbl 1441.74036Terrana, S.; Nguyen, N. C.; Bonet, J.; Peraire, J. 4 2019 Computing parametrized solutions for plasmonic nanogap structures. Zbl 1406.78027Vidal-Codina, F.; Nguyen, N. C.; Peraire, J. 3 2018 Stability and regularity of solutions of the Monge-Ampère equation on Hermitian manifolds. Zbl 1427.53089Kołodziej, Sławomir; Nguyen, Ngoc Cuong 3 2019 A remark on the continuous subsolution problem for the complex Monge-Ampère equation. Zbl 1436.32119Kołodziej, Sławomir; Nguyen, Ngoc Cuong 3 2020 Continuous solutions to Monge-Ampère equations on Hermitian manifolds for measures dominated by capacity. Zbl 1464.32052Kołodziej, Sławomir; Nguyen, Ngoc Cuong 2 2021 Functional regression for state prediction using linear PDE models and observations. Zbl 1350.60038Nguyen, N. C.; Men, H.; Freund, R. M.; Peraire, J. 2 2016 The Dirichlet problem for a complex Hessian equation on compact Hermitian manifolds with boundary. Zbl 1409.53060Gu, Dongwei; Nguyen, Ngoc Cuong 2 2018 Hybridized discontinuous Galerkin methods for wave propagation. Zbl 1407.65184Fernandez, P.; Christophe, A.; Terrana, S.; Nguyen, N. C.; Peraire, J. 2 2018 Fabrication-adaptive optimization with an application to photonic crystal design. Zbl 1295.90084Men, Han; Freund, Robert M.; Nguyen, Ngoc C.; Saa-Seoane, Joel; Peraire, Jaime 2 2014 Gaussian functional regression for linear partial differential equations. Zbl 1423.35362Nguyen, N. C.; Peraire, J. 2 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 1419.53070Kołodziej, Sławomir; Nguyen, Ngoc Cuong 2 2018 Symplectic Hamiltonian finite element methods for linear elastodynamics. Zbl 07414362Sánchez, Manuel A.; Cockburn, Bernardo; Nguyen, Ngoc-Cuong; Peraire, Jaime 1 2021 An empirical interpolation and model-variance reduction method for computing statistical outputs of parametrized stochastic partial differential equations. Zbl 1386.65044Vidal-Codina, F.; Nguyen, N. C.; Giles, M. B.; Peraire, J. 1 2016 An inequality between complex Hessian measures of Hölder continuous \(m\)-subharmonic functions and capacity. Zbl 1452.32038Kołodziej, Sławomir; Nguyen, Ngoc Cuong 1 2020 Continuous solutions to Monge-Ampère equations on Hermitian manifolds for measures dominated by capacity. Zbl 1464.32052Kołodziej, Sławomir; Nguyen, Ngoc Cuong 2 2021 Symplectic Hamiltonian finite element methods for linear elastodynamics. Zbl 07414362Sánchez, Manuel A.; Cockburn, Bernardo; Nguyen, Ngoc-Cuong; Peraire, Jaime 1 2021 Pharmacokinetics and pharmacodynamics models of tumor growth and anticancer effects in discrete time. Zbl 1472.92118Atıcı, Ferhan M.; Nguyen, Ngoc; Dadashova, Kamala; Pedersen, Sarah E.; Koch, Gilbert 6 2020 On the Hölder continuous subsolution problem for the complex Monge-Ampère equation. II. Zbl 1442.32045Nguyen, Ngoc Cuong 6 2020 A remark on the continuous subsolution problem for the complex Monge-Ampère equation. Zbl 1436.32119Kołodziej, Sławomir; Nguyen, Ngoc Cuong 3 2020 An inequality between complex Hessian measures of Hölder continuous \(m\)-subharmonic functions and capacity. Zbl 1452.32038Kołodziej, Sławomir; Nguyen, Ngoc Cuong 1 2020 A study on discrete and discrete fractional pharmacokinetics-pharmacodynamics models for tumor growth and anti-cancer effects. Zbl 1425.92093Atıcı, Ferhan M.; Atıcı, Mustafa; Nguyen, Ngoc; Zhoroev, Tilekbek; Koch, Gilbert 12 2019 A hybridizable discontinuous Galerkin method for both thin and 3D nonlinear elastic structures. Zbl 1441.74036Terrana, S.; Nguyen, N. C.; Bonet, J.; Peraire, J. 4 2019 Stability and regularity of solutions of the Monge-Ampère equation on Hermitian manifolds. Zbl 1427.53089Kołodziej, Sławomir; Nguyen, Ngoc Cuong 3 2019 A hybridizable discontinuous Galerkin method for computing nonlocal electromagnetic effects in three-dimensional metallic nanostructures. Zbl 1380.78012Vidal-Codina, F.; Nguyen, N. C.; Oh, S.-H.; Peraire, J. 11 2018 On the Hölder continuous subsolution problem for the complex Monge-Ampère equation. Zbl 1388.32029Nguyen, Ngoc Cuong 7 2018 Computing parametrized solutions for plasmonic nanogap structures. Zbl 1406.78027Vidal-Codina, F.; Nguyen, N. C.; Peraire, J. 3 2018 The Dirichlet problem for a complex Hessian equation on compact Hermitian manifolds with boundary. Zbl 1409.53060Gu, Dongwei; Nguyen, Ngoc Cuong 2 2018 Hybridized discontinuous Galerkin methods for wave propagation. Zbl 1407.65184Fernandez, P.; Christophe, A.; Terrana, S.; Nguyen, N. C.; Peraire, J. 2 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 1419.53070Kołodziej, Sławomir; Nguyen, Ngoc Cuong 2 2018 The hybridized discontinuous Galerkin method for implicit large-eddy simulation of transitional turbulent flows. Zbl 1375.76069Fernandez, P.; Nguyen, N. C.; Peraire, J. 15 2017 Symplectic Hamiltonian HDG methods for wave propagation phenomena. Zbl 1380.65421Sánchez, M. A.; Ciuca, C.; Nguyen, N. C.; Peraire, J.; Cockburn, B. 11 2017 An explicit hybridizable discontinuous Galerkin method for the acoustic wave equation. Zbl 1423.76280Stanglmeier, M.; Nguyen, N. C.; Peraire, J.; Cockburn, B. 21 2016 The complex Monge-Ampère type equation on compact Hermitian manifolds and applications. Zbl 1337.53088Nguyen, Ngoc Cuong 11 2016 Weak solutions of complex Hessian equations on compact Hermitian manifolds. Zbl 1381.53136Kołodziej, Sławomir; Nguyen, Ngoc Cuong 8 2016 Gaussian functional regression for output prediction: model assimilation and experimental design. Zbl 1351.62094Nguyen, N. C.; Peraire, J. 4 2016 Functional regression for state prediction using linear PDE models and observations. Zbl 1350.60038Nguyen, N. C.; Men, H.; Freund, R. M.; Peraire, J. 2 2016 An empirical interpolation and model-variance reduction method for computing statistical outputs of parametrized stochastic partial differential equations. Zbl 1386.65044Vidal-Codina, F.; Nguyen, N. C.; Giles, M. B.; Peraire, J. 1 2016 A phase-based hybridizable discontinuous Galerkin method for the numerical solution of the Helmholtz equation. Zbl 1349.78071Nguyen, N. C.; Peraire, J.; Reitich, F.; Cockburn, B. 17 2015 A class of embedded discontinuous Galerkin methods for computational fluid dynamics. Zbl 1349.76245Nguyen, N. C.; Peraire, J.; Cockburn, B. 13 2015 A model and variance reduction method for computing statistical outputs of stochastic elliptic partial differential equations. Zbl 1349.65635Vidal-Codina, F.; Nguyen, N. C.; Giles, M. B.; Peraire, J. 12 2015 Spectral approximations by the HDG method. Zbl 1311.65137Gopalakrishnan, J.; Li, F.; Nguyen, N.-C.; Peraire, J. 6 2015 Gaussian functional regression for linear partial differential equations. Zbl 1423.35362Nguyen, N. C.; Peraire, J. 2 2015 Hölder continuous solutions to complex Hessian equations. Zbl 1302.32034Nguyen, Ngoc Cuong 24 2014 Fabrication-adaptive optimization with an application to photonic crystal design. Zbl 1295.90084Men, Han; Freund, Robert M.; Nguyen, Ngoc C.; Saa-Seoane, Joel; Peraire, Jaime 2 2014 A high-order hybridizable discontinuous Galerkin method for elliptic interface problems. Zbl 1352.65513Huynh, L. N. T.; Nguyen, N. C.; Peraire, J.; Khoo, B. C. 27 2013 Analysis of HDG methods for Oseen equations. Zbl 1366.76048Cesmelioglu, Aycil; Cockburn, Bernardo; Nguyen, Ngoc Cuong; Peraire, Jaume 24 2013 Flow physics and RANS modelling of oblique shock/turbulent boundary layer interaction. Zbl 1291.76172Morgan, Brandon; Duraisamy, K.; Nguyen, N.; Kawai, S.; Lele, S. K. 14 2013 Rapid identification of material properties of the interface tissue in dental implant systems using reduced basis method. Zbl 1300.92047Hoang, K. C.; Khoo, B. C.; Liu, G. R.; Nguyen, N. C.; Patera, A. T. 9 2013 Hybridizable discontinuous Galerkin methods for partial differential equations in continuum mechanics. Zbl 1277.65082Nguyen, N. C.; Peraire, J. 53 2012 Subsolution theorem for the complex Hessian equation. Zbl 1295.32043Nguyen, Ngoc Cuong 26 2012 An implicit high-order hybridizable discontinuous Galerkin method for the incompressible Navier-Stokes equations. Zbl 1391.76353Nguyen, N. C.; Peraire, J.; Cockburn, B. 111 2011 Analysis of HDG methods for Stokes flow. Zbl 1410.76164Cockburn, Bernardo; Gopalakrishnan, Jayadeep; Nguyen, Ngoc Cuong; Peraire, Jaume; Sayas, Francisco-Javier 98 2011 High-order implicit hybridizable discontinuous Galerkin methods for acoustics and elastodynamics. Zbl 1364.76093Nguyen, N. C.; Peraire, J.; Cockburn, B. 66 2011 Hybridizable discontinuous Galerkin methods for the time-harmonic Maxwell’s equations. Zbl 1230.78031Nguyen, N. C.; Peraire, J.; Cockburn, B. 56 2011 Hybridizable discontinuous Galerkin methods. Zbl 1216.65160Nguyen, N. C.; Peraire, J.; Cockburn, B. 26 2011 Reduced basis approximation and a posteriori error estimation for the parametrized unsteady Boussinesq equations. Zbl 1279.76023Knezevic, David J.; Nguyen, Ngoc-Cuong; Patera, Anthony T. 23 2011 A hybridizable discontinuous Galerkin method for Stokes flow. Zbl 1227.76036Nguyen, N. C.; Peraire, J.; Cockburn, B. 112 2010 Reduced basis techniques for stochastic problems. Zbl 1269.65005Boyaval, S.; Le Bris, C.; Lelièvre, T.; Maday, Y.; Nguyen, N. C.; Patera, A. T. 47 2010 A comparison of HDG methods for Stokes flow. Zbl 1203.76079Cockburn, B.; Nguyen, N. C.; Peraire, J. 31 2010 Hybridization and postprocessing techniques for mixed eigenfunctions. Zbl 1220.65159Cockburn, B.; Gopalakrishnan, J.; Li, F.; Nguyen, N.-C.; Peraire, J. 8 2010 Bandgap optimization of two-dimensional photonic crystals using semidefinite programming and subspace methods. Zbl 1192.82104Men, H.; Nguyen, N. C.; Freund, R. M.; Parrilo, P. A.; Peraire, J. 4 2010 An implicit high-order hybridizable discontinuous Galerkin method for nonlinear convection-diffusion equations. Zbl 1177.65150Nguyen, N. C.; Peraire, J.; Cockburn, B. 89 2009 A general multipurpose interpolation procedure: The magic points. Zbl 1184.65020Maday, Yvon; Nguyen, Ngoc Cuong; Patera, Anthony T.; Pau, S. H. 68 2009 Reduced basis approximation and a posteriori error estimation for the time-dependent viscous Burgers’ equation. Zbl 1178.65109Nguyen, 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 1230.80013Boyaval, Sébastien; Le Bris, Claude; Maday, Yvon; Nguyen, Ngoc Cuong; Patera, Anthony T. 26 2009 An implicit high-order hybridizable discontinuous Galerkin method for linear convection-diffusion equations. Zbl 1187.65110Nguyen, N. C.; Peraire, J.; Cockburn, B. 124 2008 A ‘best points’ interpolation method for efficient approximation of parametrized functions. Zbl 1163.65009Nguyen, N. C.; Patera, A. T.; Peraire, J. 44 2008 A multiscale reduced-basis method for parametrized elliptic partial differential equations with multiple scales. Zbl 1155.65391Nguyen, N. C. 35 2008 An efficient reduced-order modeling approach for nonlinear parametrized partial differential equations. Zbl 1162.65407Nguyen, N. C.; Peraire, J. 29 2008 Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations. Zbl 1142.65078Grepl, Martin A.; Maday, Yvon; Nguyen, Ngoc C.; Patera, Anthony T. 167 2007 A posteriori error estimation and basis adaptivity for reduced-basis approximation of nonaffine-parametrized linear elliptic partial differential equations. Zbl 1140.65077Nguyen, N. C. 11 2007 Certified rapid solution of partial differential equations for real-time parameter estimation and optimization. Zbl 1228.65223Grepl, Martin A.; Nguyen, Ngoc C.; Veroy, Karen; Patera, Anthony T.; Liu, Gui R. 10 2007 Feasibility and competitiveness of a reduced basis approach for rapid electronic structure calculations in quantum chemistry. Zbl 1330.81022Cancès, 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 1100.65094Sen, S.; Veroy, K.; Huynh, D. B. P.; Deparis, S.; Nguyen, N. C.; Patera, A. T. 36 2006 An ‘empirical interpolation’ method: Application to efficient reduced-basis discretization of partial differential equations. Zbl 1061.65118Barrault, Maxime; Maday, Yvon; Nguyen, Ngoc Cuong; Patera, Anthony T. 427 2004 all cited Publications top 5 cited Publications 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 all top 5 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. 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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 all top 5 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) Citations by Year