Christos Pervolianakis

collaborators

3 papers

math.NA2026

A stabilized scheme satisfying the discrete maximum principle for a time fractional convection-diffusion-reaction equation

Christos Pervolianakis

We study a time fractional convection-diffusion-reaction equation in a bounded domain $Ω \subset R^{2}$ . A stabilized numerical scheme satisfying a discrete maximum principle…

math.NA2024

Numerical analysis of a stabilized scheme for an optimal control problem governed by a parabolic convection--diffusion equation

Christos Pervolianakis

We consider an optimal control problem on a bounded domain $Ω \subset R^{2},$ governed by a parabolic convection--diffusion--reaction equation with pointwise control constrain…

math.NA2024

Error analysis of an Algebraic Flux Correction Scheme for a nonlinear Scalar Conservation Law Using SSP-RK2

Christos Pervolianakis

We consider a scalar conservation law with linear and nonlinear flux function on a bounded domain $Ω \subset R^{2}$ with Lipschitz boundary $\partial Ω.$ We discretize the spatial va…