33 citations · 115 across the 25 of their papers we have counts for
10 papers · 1 filter
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.…