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20102026
most citedAn Energy Approach to the Solution of Partial Differential Equations in Computational Mechanics via Machine Learning: Concepts, Implementation and Applications

2.1k citations

Showing 2014 · math.APShow all

5 papers · 2 filters

math.AP2014★ 1 cited

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…

math.AP2014★ 23 cited

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…

math.AP2014

Reconstruction of the electric field of the Helmholtz equation in 3D

Huy Tuan Nguyen, Vo Anh Khoa, Mach Nguyet Minh +1

In this paper, we rigorously investigate the truncation method for the Cauchy problem of Helmholtz equations which is widely used to model propagation phenomena in physical applica…

math.AP2014★ 4 cited

On an inverse problem in the parabolic equation arising from groundwater pollution problem

Nguyen Huy Tuan, Nguyen Van Thinh, Vo Anh Khoa +1

In this paper, we consider an inverse problem to determine a source term in a parabolic equation, where the data are obtained at a certain time. In general, this problem is ill-pos…

math.AP2014★ 1 cited

Persistence criteria for populations with non-local dispersion

Henri Berestycki, Jerome Coville, Hoang-Hung Vo

In this article, we analyse the non-local model : where is a positive continuous d…