10 citations · 11 across the 3 of their papers we have counts for
4 papers
High Order semi-implicit Rosenbrock type and Multistep methods for evolutionary partial differential equations with higher order derivatives
Boscarino Sebastiano, Giuseppe Izzo
The aim of this work is to apply a semi-implicit (SI) strategy within a Rosenbrock-type and IMEX linear multistep (LM) framework to a sequence of 1D time-dependent partial differen…
Modified Patankar Linear Multistep methods for production-destruction systems
Giuseppe Izzo, Eleonora Messina, Mario Pezzella +1
Modified Patankar schemes are linearly implicit time integration methods designed to be unconditionally positive and conservative. In the present work we extend the Patankar-type a…
The effect of time discretization on the solution of parabolic PDEs with ANNs
Francesco Calabrò, Salvatore Cuomo, Daniela di Serafino +2
We investigate the resolution of parabolic PDEs via Extreme Learning Machine (ELMs) Neural Networks, which have a single hidden layer and can be trained at a modest computational c…
Transformed implicit-explicit DIMSIMs with strong stability preserving explicit part
Giuseppe Izzo, Zdzislaw Jackiewicz
For many systems of differential equations modeling problems in science and engineering, there are often natural splittings of the right hand side into two parts, one of which is n…