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20242026
most citedFirst-order empirical interpolation method for real-time solution of parametric time-dependent nonlinear PDEs

1 citations · 2 across the 5 of their papers we have counts for

collaborators

6 papers

math.NA2026

A Massively Parallel Hybridizable Discontinuous Galerkin Solver for Direct Numerical Simulation of Compressible Flows on GPUs

Andrew Welter, Thea Collin, Ngoc Cuong Nguyen +1

Direct numerical simulation (DNS) of compressible transitional and turbulent flows requires numerical methods that combine high-order accuracy, robustness, and computational effici…

math.CV2026

Fine properties of functions in complex Sobolev spaces

Ngoc Cuong Nguyen

We study comprehensively local properties of functions in complex Sobolev spaces on a bounded open subset of . The main tool is the corresponding functional capacity…

math.NA2025

Preconditioning Techniques for Hybridizable Discontinuous Galerkin Discretizations on GPU Architectures

Andrew Welter, Ngoc Cuong Nguyen

We present scalable iterative solvers and preconditioning strategies for Hybridizable Discontinuous Galerkin (HDG) discretizations of partial differential equations (PDEs) on graph…

math.NA2024

Generative Reduced Basis Method

Ngoc Cuong Nguyen

We present a generative reduced basis (RB) approach to construct reduced order models for parametrized partial differential equations. Central to this approach is the construction…

math.NA2024★ 1 cited

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

Ngoc Cuong Nguyen

We present novel model reduction methods for rapid solution of parametrized nonlinear partial differential equations (PDEs) in real-time or many-query contexts. Our approach combin…

math.NA2024★ 1 cited

First-order empirical interpolation method for real-time solution of parametric time-dependent nonlinear PDEs

Ngoc Cuong Nguyen

We present a model reduction approach for the real-time solution of time-dependent nonlinear partial differential equations (PDEs) with parametric dependencies. The approach integr…