N. S. Hoang

activity

20072022

most citedOn surface completion and image inpainting by biharmonic functions: Numerical aspects

52 citations · 91 across the 14 of their papers we have counts for

collaborators

15 papers

math.NA2022

Generalized explicit pseudo two-step Runge-Kutta-Nyström methods for solving second-order initial value problems

Nguyen S. Hoang

A class of explicit pseudo two-step Runge-Kutta-Nyström (GEPTRKN) methods for solving second-order initial value problems $y^{''} = f (t, y, y^{'})$ , $y (t_{0}) = y_{0}$ , $y^{'} (t_{0}) = y_{0}^{'}$ has been…

math.DS2021

Stability of solutions to abstract evolution equations in Banach spaces under nonclassical assumptions

N. S. Hoang

The stability of the solution to the equation $(*) u ˙ = F (t, u) + f (t)$ , $t \geq 0$ , $u (0) = u_{0}$ is studied. Here $F (t, u)$ is a nonlinear operator in a Banach space $X$ for…

math.FA2020

Stability of solutions to some abstract evolution equations with delay

N. S. Hoang, A. G. Ramm

The global existence and stability of the solution to the delay differential equation (*) $u ˙ = A (t) u + G (t, u (t - τ)) + f (t)$ , $t \geq 0$ , $u (t) = v (t)$ , $- τ \leq t \leq 0$ , are studie…

math.AP2017★ 52 cited

On surface completion and image inpainting by biharmonic functions: Numerical aspects

S. B. Damelin, N. S. Hoang

Numerical experiments with smooth surface extension and image inpainting using harmonic and biharmonic functions are carried out. The boundary data used for constructing biharmonic…

math.NA2014★ 1 cited

Functionally fitted Runge-Kutta-Nyström methods

N. S. Hoang, R. B. Sidje

We have shown previously that functionally fitted Runge-Kutta (FRK) methods can be studied using a convenient collocation framework. Here, we extend that framework to functionally…

math.NA2014

Functionally-fitted explicit pseudo two-step Runge-Kutta-Nyström methods

N. S. Hoang

A general class of functionally-fitted explicit pseudo two-step Runge-Kutta-Nyström (FEPTRKN) methods for solving second-order initial value problems has been studied. These method…