33 citations · 96 across the 14 of their papers we have counts for
14 papers
Riemannian manifold hybrid Monte Carlo in lattice QCD
Tuan Nguyen, Peter Boyle, Norman Christ +2
Critical slowing down presents a critical obstacle to lattice QCD calculation at the smaller lattice spacings made possible by Exascale computers. Inspired by the concept of Fourie…
On existence and regularity of a terminal value problem for the time fractional diffusion equation
Nguyen Huy Tuan, Tran Bao Ngoc, Yong Zhou +1
In this paper we consider a final value problem for a diffusion equation with time-space fractional differentiation on a bounded domain of , , which in…
Inverse initial problem for fractional reaction-diffusion equation with nonlinearities
Tran Bao Ngoc, Yavar Kian, Nguyen Huy Tuan
The initial inverse problem of finding solutions and their initial values () appearing in a general class of fractional reaction-diffusion equations from the knowledge of so…
Analysis of a quasi-reversibility method for a terminal value quasi-linear parabolic problem with measurements
Nguyen Huy Tuan, Vo Anh Khoa, Vo Van Au
This paper presents a modified quasi-reversibility method for computing the exponentially unstable solution of a nonlocal terminal-boundary value parabolic problem with noisy data.…
Application of the cut-off projection to solve a backward heat conduction problem in a two-slab composite system
Nguyen Huy Tuan, Vo Anh Khoa, Mai Thanh Nhat Truong +2
The main goal of this paper is applying the cut-off projection for solving one-dimensional backward heat conduction problem in a two-slab system with a perfect contact. In a constr…
A random regularized approximate solution of the inverse problem for the Burgers' equation
Erkan Nane, Nguyen Hoang Tuan, Nguyen Huy Tuan
In this paper, we find a regularized approximate solution for an inverse problem for the Burgers' equation. The solution of the inverse problem for the Burgers' equation is ill-pos…
On a backward problem for multidimensional Ginzburg-Landau equation with random data
Mokhtar Kirane, Erkan Nane, Nguyen Huy Tuan
In this paper, we consider a backward in time problem for Ginzburg-Landau equation in multidimensional domain associated with some random data. The problem is ill-posed in the sens…
Approximate solutions of inverse problems for nonlinear space fractional diffusion equations with randomly perturbed data
Erkan Nane, Nguyen Huy Tuan
This paper is concerned with backward problem for nonlinear space fractional diffusion with additive noise on the right-hand side and the final value. To regularize the instable so…
A generalized filter regularization result for some nonlinear evolution equations in Hilbert spaces
Nguyen Huy Tuan, Vo Anh Khoa, Vo Van Au
Despite the strong focus of regularization on ill-posed problems, the general construction of such methods has not been fully explored. Moreover, many previous studies cannot be cl…
Inverse source problem for time fractional diffusion with discrete random noise
Tuan Nguyen Huy, Erkan Nane
In this paper, we deal with the inverse source problem of determining a source in a time fractional diffusion equation where data are given at a fixed time. This problem is ill-pos…
The Cauchy problem of coupled elliptic sine-Gordon equations with noise: Analysis of a general kernel-based regularization and reliable tools of computing
Vo Anh Khoa, Mai Thanh Nhat Truong, Nguyen Ho Minh Duy +1
Developments in numerical methods for problems governed by nonlinear partial differential equations underpin simulations with sound arguments in diverse areas of science and engine…
On the regularization of solution of an inverse ultraparabolic equation associated with perturbed final data
Vo Anh Khoa, Le Trong Lan, Nguyen Huy Tuan +1
In this paper, we study the inverse problem for a class of abstract ultraparabolic equations which is well-known to be ill-posed. We employ some elementary results of semi-group th…
A numerical approach to approximation for an ultraparabolic equation
Vo Anh Khoa, Le Trong Lan, Nguyen Thi Yen Ngoc +1
We study the following ultraparabolic equation \[ \frac{\partial}{\partial t}u\left(t,s\right)+\frac{\partial}{\partial s}u\left(t,s\right)+\mathcal{L}u\left(t,s\right)=f\left(u\le…
A modified integral equation method of the nonlinear elliptic equation with globally and locally Lipschitz source
Nguyen Huy Tuan, Le Duc Thang, Vo Anh Khoa
The paper is devoted to investigating a Cauchy problem for nonlinear elliptic PDEs in the abstract Hilbert space. The problem is hardly solved by computation since it is severely i…