“In order to make any progress, it is necessary to think of approximate techniques, and
above all, numerical algorithms... Once again, what became a major endeavor of mine, the …

This work explains how to solve evolution equations via novel iterative-based splitting
methods that efficiently use computational and memory resources. It focuses on systems of …

In this paper we design higher-order time integrators for systems of stiff ordinary differential
equations. We combine implicit Runge–Kutta and BDF methods with iterative operator …

When I started this book project, I proposed to write a book about my recent advances in
mathematical modelling problems to multicomponent and multiscale systems. I considered …

Split-operator methods are commonly used to approximate environmental models. These
methods facilitate the tailoring of different approximation approaches to different portions of …

As an alternative to the classical splitting methods, two new splitting schemes have been
developed recently: the additive and the iterative splitting. In this paper we discuss the most …

Efficient Methods to Solve Complex Coupled Systems Coupled Systems: Theory, Models,
and Applications in Engineering explains how to solve complicated coupled models in …

In this paper, we contribute higher order operator splitting methods improved by Zassenhaus
product. We apply the contribution to classical and iterative splitting methods. The …

During numerical time integration, the accuracy of the numerical solution obtained with a
given step size often proves unsatisfactory. In this case one usually reduces the step size …

This paper presents the development of a three dimensional second order fluid model, used
to properly describe a DC glow discharge, maintained by secondary emission at cathode, at …