High-order empirical interpolation methods for real-time solution of parametrized nonlinear PDEs.

Ngoc Cuong Nguyen

Ngoc Cuong Nguyen High-order empirical interpolation methods for real-time solution of parametrized nonlinear PDEs. 114664 2026 550 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2026.114664 db/journals/jcphy/jcphy550.html#Nguyen26 streams/journals/jcphy

Andrew Welter Ngoc Cuong Nguyen Preconditioning Techniques for Hybridizable Discontinuous Galerkin Discretizations on GPU Architectures. 2025 December abs/2512.13619 CoRR https://doi.org/10.48550/arXiv.2512.13619 db/journals/corr/corr2512.html#abs-2512-13619 streams/journals/corr

Ngoc Cuong Nguyen R. Loek Van Heyningen Jordi Vila-Pérez Jaime Peraire Optimal transport for mesh adaptivity and shock capturing of compressible flows. 113005 2024 508 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2024.113005 db/journals/jcphy/jcphy508.html#NguyenHVP24

Ngoc Cuong Nguyen Proper orthogonal descriptors for multi-element chemical systems. 113102 2024 511 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2024.113102 db/journals/jcphy/jcphy511.html#Nguyen24 streams/journals/jcphy

Ngoc Cuong Nguyen Jaime Peraire Hybridizable Discontinuous Galerkin Methods for the Two-Dimensional Monge-Ampère Equation. 44 2024 August 100 J. Sci. Comput. 2 https://doi.org/10.1007/s10915-024-02604-3 db/journals/jscic/jscic100.html#NguyenP24 streams/journals/jscic

Ngoc Cuong Nguyen First-order empirical interpolation method for real-time solution of parametric time-dependent nonlinear PDEs. 2024 abs/2410.02093 CoRR https://doi.org/10.48550/arXiv.2410.02093 db/journals/corr/corr2410.html#abs-2410-02093 streams/journals/corr

Ngoc Cuong Nguyen High-order empirical interpolation methods for real time solution of parametrized nonlinear PDEs. 2024 abs/2410.02100 CoRR https://doi.org/10.48550/arXiv.2410.02100 db/journals/corr/corr2410.html#abs-2410-02100 streams/journals/corr

Ngoc Cuong Nguyen Generative Reduced Basis Method. 2024 abs/2410.05139 CoRR https://doi.org/10.48550/arXiv.2410.05139 db/journals/corr/corr2410.html#abs-2410-05139 streams/journals/corr

Ngoc Cuong Nguyen Andrew Rohskopf Proper orthogonal descriptors for efficient and accurate interatomic potentials. 112030 2023 May 480 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2023.112030 db/journals/jcphy/jcphy480.html#NguyenR23

Ferran Vidal-Codina Cristian Ciracì Ngoc Cuong Nguyen Sang-Hyun Oh Jaime Peraire Optical response of metallic nanostructures using quantum hydrodynamic theory and a hybridizable discontinuous Galerkin method. 112260 2023 489 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2023.112260 db/journals/jcphy/jcphy489.html#Vidal-CodinaCNO23

Ngoc Cuong Nguyen Jordi Vila-Pérez Jaime Peraire An adaptive viscosity regularization approach for the numerical solution of conservation laws: Application to finite element methods. 112507 2023 December 494 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2023.112507 db/journals/jcphy/jcphy494.html#NguyenVP23

Ngoc Cuong Nguyen Jaime Peraire Efficient and accurate nonlinear model reduction via first-order empirical interpolation. 112512 2023 December 494 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2023.112512 db/journals/jcphy/jcphy494.html#NguyenP23

Ngoc Cuong Nguyen Jaime Peraire Efficient and accurate nonlinear model reduction via first-order empirical interpolation. 2023 abs/2305.00466 CoRR https://doi.org/10.48550/arXiv.2305.00466 db/journals/corr/corr2305.html#abs-2305-00466

Jordi Vila-Pérez Ngoc Cuong Nguyen Jaume Peraire A high-order discontinuous Galerkin approach for physics-based thermospheric modeling. 2023 abs/2306.01085 CoRR https://doi.org/10.48550/arXiv.2306.01085 db/journals/corr/corr2306.html#abs-2306-01085

Ngoc Cuong Nguyen Jaime Peraire Hybridizable discontinuous Galerkin methods for the Monge-Ampere equation. 2023 abs/2306.05296 CoRR https://doi.org/10.48550/arXiv.2306.05296 db/journals/corr/corr2306.html#abs-2306-05296

Ngoc Cuong Nguyen R. Loek Van Heyningen Jordi Vila-Pérez Jaime Peraire Optimal transport for mesh adaptivity and shock capturing of compressible flows. 2023 abs/2310.01196 CoRR https://doi.org/10.48550/arXiv.2310.01196 db/journals/corr/corr2310.html#abs-2310-01196

R. Loek Van Heyningen Ngoc Cuong Nguyen Patrick Blonigan Jaime Peraire Adaptive model reduction of high-order solutions of compressible flows via optimal transport. 2023 abs/2310.07951 CoRR https://doi.org/10.48550/arXiv.2310.07951 db/journals/corr/corr2310.html#abs-2310-07951

Jordi Vila-Pérez R. Loek Van Heyningen Ngoc Cuong Nguyen Jaume Peraire Exasim: Generating discontinuous Galerkin codes for numerical solutions of partial differential equations on graphics processors. 101212 2022 December 20 SoftwareX https://doi.org/10.1016/j.softx.2022.101212 https://www.wikidata.org/entity/Q115341217 db/journals/softx/softx20.html#VilaPerezHNP22

Jordi Vila-Pérez R. Loek Van Heyningen Ngoc Cuong Nguyen Jaume Peraire Exasim: Generating Discontinuous Galerkin Codes for Numerical Solutions of Partial Differential Equations on Graphics Processors. 2022 abs/2205.07824 CoRR https://doi.org/10.48550/arXiv.2205.07824 db/journals/corr/corr2205.html#abs-2205-07824

Ferran Vidal-Codina Ngoc Cuong Nguyen Cristian Ciracì Sang-Hyun Oh Jaime Peraire A nested hybridizable discontinuous Galerkin method for computing second-harmonic generation in three-dimensional metallic nanostructures. 110000 2021 429 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2020.110000 db/journals/jcphy/jcphy429.html#Vidal-CodinaNCO21

Tran Thi Luong Ngoc Cuong Nguyen Duc Trinh Bui 4 ˟ 4 Recursive MDS Matrices Effective for Implementation from Reed-Solomon Code over GF(q) Field. 386-391 2021 MCO https://doi.org/10.1007/978-3-030-92666-3_33 conf/mco/2021 db/conf/mco/mco2021.html#LuongNB21

Núria Parés Ngoc Cuong Nguyen Pedro Díez Jaume Peraire A posteriori goal-oriented bounds for the Poisson problem using potential and equilibrated flux reconstructions: application to the hybridizable discontinuous Galerkin method. 2021 abs/2106.10945 CoRR https://arxiv.org/abs/2106.10945 db/journals/corr/corr2106.html#abs-2106-10945

C. Ciuca Pablo Fernández 0002 Alexandra Christophe Ngoc Cuong Nguyen Jaime Peraire Implicit hybridized discontinuous Galerkin methods for compressible magnetohydrodynamics. 100042 2020 5 J. Comput. Phys. X https://doi.org/10.1016/j.jcpx.2019.100042 db/journals/jcphyx/jcphyx5.html#CiucaFCNP20

Ngoc Cuong Nguyen Ruck Thawonmas Pujana Paliyawan Hai V. Pham JUSTIN: An Audience Participation Game With A Purpose for Collecting Descriptions for Artwork Images. 344-350 2020 CoG https://doi.org/10.1109/CoG47356.2020.9231771 conf/cig/2020 db/conf/cig/cog2020.html#NguyenTPP20

Ferran Vidal-Codina Joel Saà-Seoane Ngoc Cuong Nguyen Jaime Peraire A multiscale continuous Galerkin method for stochastic simulation and robust design of photonic crystals. 100016 2019 2 J. Comput. Phys. X https://doi.org/10.1016/j.jcpx.2019.100016 db/journals/jcphyx/jcphyx2.html#Vidal-CodinaSNP19

Ferran Vidal-Codina Ngoc Cuong Nguyen Sang-Hyun Oh Jaime Peraire A hybridizable discontinuous Galerkin method for computing nonlocal electromagnetic effects in three-dimensional metallic nanostructures. 548-565 2018 355 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2017.11.025 db/journals/jcphy/jcphy355.html#Vidal-CodinaNOP18

Ferran Vidal-Codina Ngoc Cuong Nguyen Jaime Peraire Computing parametrized solutions for plasmonic nanogap structures. 89-106 2018 366 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2018.04.009 db/journals/jcphy/jcphy366.html#Vidal-CodinaNP18

Pablo Fernández 0002 Alexandra Christophe Sébastien Terrana Ngoc Cuong Nguyen Jaime Peraire Hybridized Discontinuous Galerkin Methods for Wave Propagation. 1566-1604 2018 77 J. Sci. Comput. 3 https://doi.org/10.1007/s10915-018-0811-x https://www.wikidata.org/entity/Q59797127 db/journals/jscic/jscic77.html#FernandezCTNP18

Ngoc Cuong Nguyen Pablo Fernández 0002 Robert M. Freund Jaime Peraire Accelerated Residual Methods for the Iterative Solution of Systems of Equations. A3157-A3179 2018 40 SIAM J. Sci. Comput. 5 https://doi.org/10.1137/17M1141369 https://www.wikidata.org/entity/Q129189941 db/journals/siamsc/siamsc40.html#NguyenFFP18

Pablo Fernández 0002 Ngoc Cuong Nguyen Jaime Peraire On the ability of discontinuous Galerkin methods to simulate under-resolved turbulent flows. 2018 abs/1810.09435 CoRR http://arxiv.org/abs/1810.09435 db/journals/corr/corr1810.html#abs-1810-09435

Pablo Fernández 0002 Ngoc Cuong Nguyen Jaime Peraire The hybridized Discontinuous Galerkin method for Implicit Large-Eddy Simulation of transitional turbulent flows. 308-329 2017 336 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2017.02.015 https://www.wikidata.org/entity/Q59797177 db/journals/jcphy/jcphy336.html#FernandezNP17

Manuel A. Sánchez C. Ciuca Ngoc Cuong Nguyen Jaime Peraire Bernardo Cockburn Symplectic Hamiltonian HDG methods for wave propagation phenomena. 951-973 2017 350 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2017.09.010 db/journals/jcphy/jcphy350.html#SanchezCNPC17

Ngoc Cuong Nguyen Jaime Peraire Gaussian functional regression for output prediction: Model assimilation and experimental design. 52-68 2016 309 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2015.12.035 db/journals/jcphy/jcphy309.html#NguyenP16

Ferran Vidal-Codina Ngoc Cuong Nguyen Michael B. Giles Jaime Peraire An Empirical Interpolation and Model-Variance Reduction Method for Computing Statistical Outputs of Parametrized Stochastic Partial Differential Equations. 244-265 2016 4 SIAM/ASA J. Uncertain. Quantification 1 https://doi.org/10.1137/15M1016783 db/journals/juq/juq4.html#Vidal-CodinaNGP16

Ngoc Cuong Nguyen Han Men Robert M. Freund Jaume Peraire Functional Regression for State Prediction Using Linear PDE Models and Observations. 2016 38 SIAM J. Sci. Comput. 2 https://doi.org/10.1137/14100275X db/journals/siamsc/siamsc38.html#NguyenMFP16

Pablo Fernández 0002 Ngoc Cuong Nguyen Xevi Roca Jaime Peraire Implicit large-eddy simulation of compressible flows using the Interior Embedded Discontinuous Galerkin method. 2016 abs/1605.01020 CoRR http://arxiv.org/abs/1605.01020 db/journals/corr/corr1605.html#FernandezNRP16

Ngoc Cuong Nguyen Jaime Peraire Fernando Reitich Bernardo Cockburn A phase-based hybridizable discontinuous Galerkin method for the numerical solution of the Helmholtz equation. 318-335 2015 290 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2015.02.002 db/journals/jcphy/jcphy290.html#NguyenPRC15

Ferran Vidal-Codina Ngoc Cuong Nguyen Michael B. Giles Jaime Peraire A model and variance reduction method for computing statistical outputs of stochastic elliptic partial differential equations. 700-720 2015 297 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2015.05.041 db/journals/jcphy/jcphy297.html#Vidal-CodinaNGP15

Ngoc Cuong Nguyen Jaime Peraire Bernardo Cockburn A class of embedded discontinuous Galerkin methods for computational fluid dynamics. 674-692 2015 302 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2015.09.024 db/journals/jcphy/jcphy302.html#NguyenPC15

Jayadeep Gopalakrishnan F. Li Ngoc Cuong Nguyen Jaime Peraire Spectral approximations by the HDG method. 2015 84 Math. Comput. 293 https://doi.org/10.1090/S0025-5718-2014-02885-8 db/journals/moc/moc84.html#GopalakrishnanL15 1037-1059

Han Men Robert M. Freund Ngoc Cuong Nguyen Joel Saà-Seoane Jaime Peraire Fabrication-Adaptive Optimization with an Application to Photonic Crystal Design. 418-434 2014 62 Oper. Res. 2 https://doi.org/10.1287/opre.2013.1252 db/journals/ior/ior62.html#MenFNSP14

Ayçil Çesmelioglu Bernardo Cockburn Ngoc Cuong Nguyen Jaume Peraire Analysis of HDG Methods for Oseen Equations. 392-431 2013 55 J. Sci. Comput. 2 https://doi.org/10.1007/s10915-012-9639-y db/journals/jscic/jscic55.html#CesmeliogluCNP13

Ngoc Cuong Nguyen Jaume Peraire Hybridizable discontinuous Galerkin methods for partial differential equations in continuum mechanics. 5955-5988 2012 231 J. Comput. Phys. 18 https://doi.org/10.1016/j.jcp.2012.02.033 db/journals/jcphy/jcphy231.html#NguyenP12

Ngoc Cuong Nguyen Jaume Peraire Bernardo Cockburn An implicit high-order hybridizable discontinuous Galerkin method for the incompressible Navier-Stokes equations. 1147-1170 2011 230 J. Comput. Phys. 4 https://doi.org/10.1016/j.jcp.2010.10.032 db/journals/jcphy/jcphy230.html#NguyenPC11

Ngoc Cuong Nguyen Jaume Peraire Bernardo Cockburn High-order implicit hybridizable discontinuous Galerkin methods for acoustics and elastodynamics. 3695-3718 2011 230 J. Comput. Phys. 10 https://doi.org/10.1016/j.jcp.2011.01.035 db/journals/jcphy/jcphy230.html#NguyenPC11a

Ngoc Cuong Nguyen Jaume Peraire Bernardo Cockburn Hybridizable discontinuous Galerkin methods for the time-harmonic Maxwell's equations. 7151-7175 2011 230 J. Comput. Phys. 19 https://doi.org/10.1016/j.jcp.2011.05.018 db/journals/jcphy/jcphy230.html#NguyenPC11b

Bernardo Cockburn Jayadeep Gopalakrishnan Ngoc Cuong Nguyen Jaume Peraire Francisco-Javier Sayas Analysis of HDG methods for Stokes flow. 723-760 2011 80 Math. Comput. 274 https://doi.org/10.1090/S0025-5718-2010-02410-X db/journals/moc/moc80.html#CockburnGNPS11

Han Men Ngoc Cuong Nguyen Robert M. Freund Pablo A. Parrilo Jaume Peraire Bandgap optimization of two-dimensional photonic crystals using semidefinite programming and subspace methods. 3706-3725 2010 229 J. Comput. Phys. 10 https://doi.org/10.1016/j.jcp.2010.01.023 db/journals/jcphy/jcphy229.html#MenNFPP10

Bernardo Cockburn Ngoc Cuong Nguyen Jaume Peraire A Comparison of HDG Methods for Stokes Flow. 215-237 2010 45 J. Sci. Comput. 1-3 https://doi.org/10.1007/s10915-010-9359-0 db/journals/jscic/jscic45.html#CockburnNP10

Bernardo Cockburn Jayadeep Gopalakrishnan F. Li Ngoc Cuong Nguyen Jaume Peraire Hybridization and Postprocessing Techniques for Mixed Eigenfunctions. 857-881 2010 48 SIAM J. Numer. Anal. 3 https://doi.org/10.1137/090765894 db/journals/siamnum/siamnum48.html#CockburnGLNP10

Ngoc Cuong Nguyen Jaume Peraire Bernardo Cockburn An implicit high-order hybridizable discontinuous Galerkin method for linear convection-diffusion equations. 3232-3254 2009 228 J. Comput. Phys. 9 https://doi.org/10.1016/j.jcp.2009.01.030 db/journals/jcphy/jcphy228.html#NguyenPC09

Ngoc Cuong Nguyen Jaume Peraire Bernardo Cockburn An implicit high-order hybridizable discontinuous Galerkin method for nonlinear convection-diffusion equations. 8841-8855 2009 228 J. Comput. Phys. 23 https://doi.org/10.1016/j.jcp.2009.08.030 db/journals/jcphy/jcphy228.html#NguyenPC09a

Ngoc Cuong Nguyen A multiscale reduced-basis method for parametrized elliptic partial differential equations with multiple scales. 9807-9822 2008 227 J. Comput. Phys. 23 https://doi.org/10.1016/j.jcp.2008.07.025 db/journals/jcphy/jcphy227.html#Nguyen08

Ngoc Cuong Nguyen A posteriori error estimation and basis adaptivity for reduced-basis approximation of nonaffine-parametrized linear elliptic partial differential equations. 983-1006 2007 227 J. Comput. Phys. 2 https://doi.org/10.1016/j.jcp.2007.08.031 db/journals/jcphy/jcphy227.html#Nguyen07

Ngoc Cuong Nguyen Jaume Peraire An interpolation method for the reconstruction and recognition of face images. 91-96 2007 conf/visapp/2007-2 VISAPP (2) db/conf/visapp/visapp2007-2.html#NguyenP07

Sugata Sen Karen Veroy Dinh Bao Phuong Huynh Simone Deparis Ngoc Cuong Nguyen Anthony T. Patera "Natural norm" a posteriori error estimators for reduced basis approximations. 37-62 2006 217 J. Comput. Phys. 1 https://doi.org/10.1016/j.jcp.2006.02.012 https://www.wikidata.org/entity/Q118178342 db/journals/jcphy/jcphy217.html#SenVHDNP06

Patrick Blonigan Duc Trinh Bui Ayçil Çesmelioglu Alexandra Christophe Cristian Ciracì C. Ciuca Bernardo Cockburn Simone Deparis Pedro Díez Pablo Fernández 0002 Robert M. Freund Michael B. Giles Jayadeep Gopalakrishnan R. Loek Van Heyningen Dinh Bao Phuong Huynh F. Li Tran Thi Luong Han Men Sang-Hyun Oh Pujana Paliyawan Núria Parés Pablo A. Parrilo Anthony T. Patera Jaime PeraireJaume Peraire Hai V. Pham Fernando Reitich Xevi Roca Andrew Rohskopf Joel Saà-Seoane Manuel A. Sánchez Francisco-Javier Sayas Sugata Sen Sébastien Terrana Ruck Thawonmas Karen Veroy Ferran Vidal-Codina Jordi Vila-Pérez Andrew Welter