Zobrazeno 1 - 10
of 256
pro vyhledávání: '"Nguyen, Ngoc Cuong"'
Autor:
Ahn, Hyunsoo, Nguyen, Ngoc Cuong
We obtain the convergence speed for Fekete points on uniformly polynomially cuspidal compact sets introduced by Pawlucki and Ple\'sniak. This is done by showing that these sets are $(\mathscr{C}^{\alpha}, \mathscr{C}^{\alpha'})$-regular in the sense
Externí odkaz:
http://arxiv.org/abs/2408.03053
We prove that the Dirichlet problem for the complex Hessian equation has the H\"older continuous solution provided it has a subsolution with this property. Compared to the previous result of Benali-Zeriahi and Charabati-Zeriahi we remove the assumpti
Externí odkaz:
http://arxiv.org/abs/2407.13130
Autor:
Nguyen, Ngoc Cuong, Sema, Dionysios
The development of interatomic potentials that can accurately capture a wide range of physical phenomena and diverse environments is of significant interest, but it presents a formidable challenge. This challenge arises from the numerous structural f
Externí odkaz:
http://arxiv.org/abs/2405.00306
Autor:
Hoskin, Dominique S., Van Heyningen, R. Loek, Nguyen, Ngoc Cuong, Vila-Pérez, Jordi, Harris, Wesley L., Peraire, Jaime
In recent years, high-order discontinuous Galerkin (DG) methods have emerged as an attractive approach for numerical simulations of compressible flows. This paper presents an overview of the recent development of DG methods for compressible flows wit
Externí odkaz:
http://arxiv.org/abs/2312.17619
The solution of conservation laws with parametrized shock waves presents challenges for both high-order numerical methods and model reduction techniques. We introduce an r-adaptivity scheme based on optimal transport and apply it to develop reduced o
Externí odkaz:
http://arxiv.org/abs/2310.07951
We present an optimal transport approach for mesh adaptivity and shock capturing of compressible flows. Shock capturing is based on a viscosity regularization of the governing equations by introducing an artificial viscosity field as solution of the
Externí odkaz:
http://arxiv.org/abs/2310.01196
We develop potential theory for $m$-subharmonic functions with respect to a Hermitian metric on a Hermitian manifold. First, we show that the complex Hessian operator is well-defined for bounded functions in this class. This allows to define the $m$-
Externí odkaz:
http://arxiv.org/abs/2308.10405
Autor:
Nguyen, Ngoc Cuong, Peraire, Jaime
We introduce two hybridizable discontinuous Galerkin (HDG) methods for numerically solving the Monge-Ampere equation. The first HDG method is devised to solve the nonlinear elliptic Monge-Ampere equation by using Newton's method. The second HDG metho
Externí odkaz:
http://arxiv.org/abs/2306.05296
Autor:
Rohskopf, Andrew, Goff, James, Sema, Dionysios, Gordiz, Kiarash, Nguyen, Ngoc Cuong, Henry, Asegun, Thompson, Aidan P., Wood, Mitchell A.
Machine learning (ML) enables the development of interatomic potentials that promise the accuracy of first principles methods while retaining the low cost and parallel efficiency of empirical potentials. While ML potentials traditionally use atom-cen
Externí odkaz:
http://arxiv.org/abs/2306.02255
The accurate prediction of aerodynamic drag on satellites orbiting in the upper atmosphere is critical to the operational success of modern space technologies, such as satellite-based communication or navigation systems, which have become increasingl
Externí odkaz:
http://arxiv.org/abs/2306.01085