Linearly implicit methods for nonlinear parabolic equations

This item is provided by the institution :

Repository :
Repository of UOI Olympias
see the original item page
in the repository's web site and access all digital files if the item*

Linearly implicit methods for nonlinear parabolic equations (EN)

Akrivis, G. (EN)

Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Χημείας (EL)
Akrivis, G. (EN)

We construct and analyze combinations of rational implicit and explicit multistep methods for nonlinear parabolic equations. The resulting schemes are linearly implicit and include as particular cases implicit-explicit multistep schemes as well as the combination of implicit Runge-Kutta schemes and extrapolation. An optimal condition for the stability constant is derived under which the schemes are locally stable. We establish optimal order error estimates. (EN)

nonlinear parabolic equations (EN)

Mathematics of Computation (EN)



*Institutions are responsible for keeping their URLs functional (digital file, item page in repository site)