33 citations · 115 across the 25 of their papers we have counts for
26 papers
Efficient relaxation scheme for the SIR and related compartmental models
Vo Anh Khoa, Pham Minh Quan, Ja'Niyah Allen +1
In this paper, we introduce a novel numerical approach for approximating the SIR model in epidemiology. Our method enhances the existing linearization procedure by incorporating a…
Numerical verification of the convexification method for a frequency-dependent inverse scattering problem with experimental data
Thuy Le, Vo Anh Khoa, Michael Victor Klibanov +3
The reconstruction of physical properties of a medium from boundary measurements, known as inverse scattering problems, presents significant challenges. The present study aims to v…
An explicit Fourier-Klibanov method for an age-dependent tumor growth model of Gompertz type
Nguyen Thi Yen Ngoc, Vo Anh Khoa
This paper proposes an explicit Fourier-Klibanov method as a new approximation technique for an age-dependent population PDE of Gompertz type in modeling the evolution of tumor den…
Numerical reconstruction for 3D nonlinear SAR imaging via a version of the convexification method
Vo Anh Khoa, Michael Victor Klibanov, William Grayson Powell +1
This work extends the applicability of our recent convexification-based algorithm for constructing images of the dielectric constant of buried or occluded target. We are orientated…
Analysis and simulation of a variational stabilization for the Helmholtz equation with noisy Cauchy data
Vo Anh Khoa, Nguyen Dat Thuc, Ajith Gunaratne
This article considers a Cauchy problem of Helmholtz equations whose solution is well known to be exponentially unstable with respect to the inputs. In the framework of variational…
Initial state reconstruction on graphs
Vo Anh Khoa, Mai Thanh Nhat Truong, Imhotep Hogan +1
The presence of noise is an intrinsic problem in acquisition processes for digital images. One way to enhance images is to combine the forward and backward diffusion equations. How…
Through-the-Wall Nonlinear SAR Imaging
Michael V. Klibanov, Alexey V. Smirnov, Vo Anh Khoa +2
An inverse scattering problem for SAR data in application to through-the-wall imaging is addressed. In contrast with the conventional algorithms of SAR imaging, that work with the…
Convexification and experimental data for a 3D inverse scattering problem with the moving point source
Vo Anh Khoa, Grant W. Bidney, Michael V. Klibanov +4
Inverse scattering problems of the reconstructions of physical properties of a medium from boundary measurements are substantially challenging ones. This work aims to verify the pe…
Constructing a variational quasi-reversibility method for a Cauchy problem for elliptic equations
Vo Anh Khoa, Pham Truong Hoang Nhan
In the recent developments of regularization theory for inverse and ill-posed problems, a variational quasi-reversibility (QR) method has been designed to solve a class of time-rev…
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.…
Regularity bounds for a Gevrey criterion in a kernel-based regularization of the Cauchy problem of elliptic equations
Khoa Anh Vo, The Hung Tran
This Note derives regularity bounds for a Gevrey criterion when the Cauchy problem of elliptic equations is solved by regularization. When utilizing the regularization, one knows t…
Corrector homogenization estimates for a non-stationary Stokes-Nernst-Planck-Poisson system in perforated domains
Vo Anh Khoa, Adrian Muntean
We consider a non-stationary Stokes-Nernst-Planck-Poisson system posed in perforated domains. Our aim is to justify rigorously the homogenization limit for the upscaled system deri…
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…
Correctors justification for a Smoluchowski--Soret--Dufour model posed in perforated domains
Vo Anh Khoa, Adrian Muntean
We study a coupled thermo-diffusion system that accounts for the dynamics of hot colloids in periodically heterogeneous media. Our model describes the joint evolution of temperatur…
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…
A high-order corrector estimate for a semi-linear elliptic system in perforated domains
Vo Anh Khoa
We derive in this note a high-order corrector estimate for the homogenization of a microscopic semi-linear elliptic system posed in perforated domains. The major challenges are the…
A Note on Iterations-based Derivations of High-order Homogenization Correctors for Multiscale Semi-linear Elliptic Equations
Khoa Vo, Adrian Muntean
This Note aims at presenting a simple and efficient procedure to derive the structure of high-order corrector estimates for the homogenization limit applied to a semi-linear ellipt…
Asymptotic analysis of a semi-linear elliptic system in perforated domains: well-posedness and correctors for the homogenization limit
Vo Anh Khoa, Adrian Muntean
In this study, we prove results on the weak solvability and homogenization of a microscopic semi-linear elliptic system posed in perforated media. The model presented here explores…
Stability and error estimates of a general modified quasi-boundary value method via a semi-linear backward parabolic equation
Vo Anh Khoa
Regularization methods have been recently developed to construct stable approximate solutions to classical partial differential equations considered as final value problems. In thi…
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…
Existence, blow-up and exponential decay of solutions for a porous-elastic system with damping and source terms
Vo Anh Khoa, Le Thi Phuong Ngoc, Nguyen Thanh Long
In this paper we consider a porous-elastic system consisting of nonlinear boundary/interior damping and nonlinear boundary/interior sources. Our interest lies in the theoretical un…
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…
Approximation of mild solutions of the linear and nonlinear elliptic equations
Nguyen Huy Tuan, Dang Duc Trong, Le Duc Thang +1
In this paper, we investigate the Cauchy problem for both linear and semi-linear elliptic equations. In general, the equations have the form \[ \frac{\partial^{2}}{\partial t^{2}}u…