"Natural norm" a posteriori error estimators for reduced basis approximations. - Sugata Sen; Karen Veroy; Dinh Bao Phuong Huynh; Simone Deparis; Ngoc Cuong Nguyen; Anthony T. Patera (J. Comput. Phys., 2006)

An interpolation method for the reconstruction and recognition of face images. - Ngoc Cuong Nguyen; Jaume Peraire (VISAPP (2), 2007)

A posteriori error estimation and basis adaptivity for reduced-basis approximation of nonaffine-parametrized linear elliptic partial differential equations. - Ngoc Cuong Nguyen (J. Comput. Phys., 2007)

A multiscale reduced-basis method for parametrized elliptic partial differential equations with multiple scales. - Ngoc Cuong Nguyen (J. Comput. Phys., 2008)

An implicit high-order hybridizable discontinuous Galerkin method for linear convection-diffusion equations. - Ngoc Cuong Nguyen; Jaume Peraire; Bernardo Cockburn (J. Comput. Phys., 2009)

An implicit high-order hybridizable discontinuous Galerkin method for nonlinear convection-diffusion equations. - Ngoc Cuong Nguyen; Jaume Peraire; Bernardo Cockburn (J. Comput. Phys., 2009)

Bandgap optimization of two-dimensional photonic crystals using semidefinite programming and subspace methods. - Han Men; Ngoc Cuong Nguyen; Robert M. Freund; Pablo A. Parrilo; Jaume Peraire (J. Comput. Phys., 2010)

A Comparison of HDG Methods for Stokes Flow. - Bernardo Cockburn; Ngoc Cuong Nguyen; Jaume Peraire (J. Sci. Comput., 2010)

Hybridization and Postprocessing Techniques for Mixed Eigenfunctions. - Bernardo Cockburn; Jayadeep Gopalakrishnan; F. Li; Ngoc Cuong Nguyen; Jaume Peraire (SIAM J. Numer. Anal., 2010)

An implicit high-order hybridizable discontinuous Galerkin method for the incompressible Navier-Stokes equations. - Ngoc Cuong Nguyen; Jaume Peraire; Bernardo Cockburn (J. Comput. Phys., 2011)

High-order implicit hybridizable discontinuous Galerkin methods for acoustics and elastodynamics. - Ngoc Cuong Nguyen; Jaume Peraire; Bernardo Cockburn (J. Comput. Phys., 2011)

Hybridizable discontinuous Galerkin methods for the time-harmonic Maxwell's equations. - Ngoc Cuong Nguyen; Jaume Peraire; Bernardo Cockburn (J. Comput. Phys., 2011)

Analysis of HDG methods for Stokes flow. - Bernardo Cockburn; Jayadeep Gopalakrishnan; Ngoc Cuong Nguyen; Jaume Peraire; Francisco-Javier Sayas (Math. Comput., 2011)

Hybridizable discontinuous Galerkin methods for partial differential equations in continuum mechanics. - Ngoc Cuong Nguyen; Jaume Peraire (J. Comput. Phys., 2012)

Analysis of HDG Methods for Oseen Equations. - Ayçil Çesmelioglu; Bernardo Cockburn; Ngoc Cuong Nguyen; Jaume Peraire (J. Sci. Comput., 2013)

Fabrication-Adaptive Optimization with an Application to Photonic Crystal Design. - Han Men; Robert M. Freund; Ngoc Cuong Nguyen; Joel Saà-Seoane; Jaime Peraire (Oper. Res., 2014)

A class of embedded discontinuous Galerkin methods for computational fluid dynamics. - Ngoc Cuong Nguyen; Jaime Peraire; Bernardo Cockburn (J. Comput. Phys., 2015)

A phase-based hybridizable discontinuous Galerkin method for the numerical solution of the Helmholtz equation. - Ngoc Cuong Nguyen; Jaime Peraire; Fernando Reitich; Bernardo Cockburn (J. Comput. Phys., 2015)

A model and variance reduction method for computing statistical outputs of stochastic elliptic partial differential equations. - Ferran Vidal-Codina; Ngoc Cuong Nguyen; Michael B. Giles; Jaime Peraire (J. Comput. Phys., 2015)

Spectral approximations by the HDG method. - Jayadeep Gopalakrishnan; F. Li; Ngoc Cuong Nguyen; Jaime Peraire (Math. Comput., 2015)

Implicit large-eddy simulation of compressible flows using the Interior Embedded Discontinuous Galerkin method. - Pablo Fernández 002; Ngoc Cuong Nguyen; Xevi Roca; Jaime Peraire (CoRR, 2016)

Gaussian functional regression for output prediction: Model assimilation and experimental design. - Ngoc Cuong Nguyen; Jaime Peraire (J. Comput. Phys., 2016)

An Empirical Interpolation and Model-Variance Reduction Method for Computing Statistical Outputs of Parametrized Stochastic Partial Differential Equations. - Ferran Vidal-Codina; Ngoc Cuong Nguyen; Michael B. Giles; Jaime Peraire (SIAM/ASA J. Uncertain. Quantification, 2016)

Functional Regression for State Prediction Using Linear PDE Models and Observations. - Ngoc Cuong Nguyen; Han Men; Robert M. Freund; Jaume Peraire (SIAM J. Sci. Comput., 2016)

The hybridized Discontinuous Galerkin method for Implicit Large-Eddy Simulation of transitional turbulent flows. - Pablo Fernández 002; Ngoc Cuong Nguyen; Jaime Peraire (J. Comput. Phys., 2017)

Symplectic Hamiltonian HDG methods for wave propagation phenomena. - Manuel A. Sánchez; C. Ciuca; Ngoc Cuong Nguyen; Jaime Peraire; Bernardo Cockburn (J. Comput. Phys., 2017)

On the ability of discontinuous Galerkin methods to simulate under-resolved turbulent flows. - Pablo Fernández 002; Ngoc Cuong Nguyen; Jaime Peraire (CoRR, 2018)

A hybridizable discontinuous Galerkin method for computing nonlocal electromagnetic effects in three-dimensional metallic nanostructures. - Ferran Vidal-Codina; Ngoc Cuong Nguyen; Sang-Hyun Oh; Jaime Peraire (J. Comput. Phys., 2018)

Computing parametrized solutions for plasmonic nanogap structures. - Ferran Vidal-Codina; Ngoc Cuong Nguyen; Jaime Peraire (J. Comput. Phys., 2018)

Hybridized Discontinuous Galerkin Methods for Wave Propagation. - Pablo Fernández 002; Alexandra Christophe; S. Terrana; Ngoc Cuong Nguyen; Jaime Peraire (J. Sci. Comput., 2018)

Accelerated Residual Methods for the Iterative Solution of Systems of Equations. - Ngoc Cuong Nguyen; Pablo Fernández 002; Robert M. Freund; Jaime Peraire (SIAM J. Sci. Comput., 2018)

A multiscale continuous Galerkin method for stochastic simulation and robust design of photonic crystals. - Ferran Vidal-Codina; Joel Saà-Seoane; Ngoc Cuong Nguyen; Jaime Peraire (J. Comput. Phys. X, 2019)

JUSTIN: An Audience Participation Game With A Purpose for Collecting Descriptions for Artwork Images. - Ngoc Cuong Nguyen; Ruck Thawonmas; Pujana Paliyawan; Hai V. Pham (CoG, 2020)

Implicit hybridized discontinuous Galerkin methods for compressible magnetohydrodynamics. - C. Ciuca; Pablo Fernández 002; Alexandra Christophe; Ngoc Cuong Nguyen; Jaime Peraire (J. Comput. Phys. X, 2020)

4 ˟ 4 Recursive MDS Matrices Effective for Implementation from Reed-Solomon Code over GF(q) Field. - Tran Thi Luong; Ngoc Cuong Nguyen; Duc Trinh Bui (MCO, 2021)

A posteriori goal-oriented bounds for the Poisson problem using potential and equilibrated flux reconstructions: application to the hybridizable discontinuous Galerkin method. - Núria Parés; Ngoc Cuong Nguyen; Pedro Díez; Jaume Peraire (CoRR, 2021)

A nested hybridizable discontinuous Galerkin method for computing second-harmonic generation in three-dimensional metallic nanostructures. - Ferran Vidal-Codina; Ngoc Cuong Nguyen; Cristian Ciracì; Sang-Hyun Oh; Jaime Peraire (J. Comput. Phys., 2021)

Exasim: Generating discontinuous Galerkin codes for numerical solutions of partial differential equations on graphics processors. - Jordi Vila-Pérez; R. Loek Van Heyningen; Ngoc Cuong Nguyen; Jaume Peraire (SoftwareX, 2022)

A high-order discontinuous Galerkin approach for physics-based thermospheric modeling. - Jordi Vila-Pérez; Ngoc Cuong Nguyen; Jaume Peraire (CoRR, 2023)

Hybridizable discontinuous Galerkin methods for the Monge-Ampere equation. - Ngoc Cuong Nguyen; Jaime Peraire (CoRR, 2023)

Adaptive model reduction of high-order solutions of compressible flows via optimal transport. - R. Loek Van Heyningen; Ngoc Cuong Nguyen; Patrick Blonigan; Jaime Peraire (CoRR, 2023)

Optical response of metallic nanostructures using quantum hydrodynamic theory and a hybridizable discontinuous Galerkin method. - Ferran Vidal-Codina; Cristian Ciracì; Ngoc Cuong Nguyen; Sang-Hyun Oh; Jaime Peraire (J. Comput. Phys., 2023)

Proper orthogonal descriptors for efficient and accurate interatomic potentials. - Ngoc Cuong Nguyen; Andrew Rohskopf (J. Comput. Phys., 2023)

Efficient and accurate nonlinear model reduction via first-order empirical interpolation. - Ngoc Cuong Nguyen; Jaime Peraire (J. Comput. Phys., 2023)

An adaptive viscosity regularization approach for the numerical solution of conservation laws: Application to finite element methods. - Ngoc Cuong Nguyen; Jordi Vila-Pérez; Jaime Peraire (J. Comput. Phys., 2023)

First-order empirical interpolation method for real-time solution of parametric time-dependent nonlinear PDEs. - Ngoc Cuong Nguyen (CoRR, 2024)

High-order empirical interpolation methods for real time solution of parametrized nonlinear PDEs. - Ngoc Cuong Nguyen (CoRR, 2024)

Generative Reduced Basis Method. - Ngoc Cuong Nguyen (CoRR, 2024)

Proper orthogonal descriptors for multi-element chemical systems. - Ngoc Cuong Nguyen (J. Comput. Phys., 2024)

Optimal transport for mesh adaptivity and shock capturing of compressible flows. - Ngoc Cuong Nguyen; R. Loek Van Heyningen; Jordi Vila-Pérez; Jaime Peraire (J. Comput. Phys., 2024)

Hybridizable Discontinuous Galerkin Methods for the Two-Dimensional Monge-Ampère Equation. - Ngoc Cuong Nguyen; Jaime Peraire (J. Sci. Comput., 2024)