The recent research of the author and his collaborators on multiscale computational methods is reported, emphasizing main ideas and inter-relations between various fields, and listing the relevant bibliography. The reported areas include: top-efficiency multigrid methods in fluid dynamics; atmospheric data assimilation; PDE solvers on unbounded domains; wave/ray methods for highly indefinite eq...

Inclusive curriculum development in Higher Education is increasingly witnessing the of institutional inclusive frameworks and toolkits. This short paper introduces one such framework recently developed at a modern university South East England. The IDEAS model (Inclusive learning teaching, Digital inclusion, Employability learning, assessment for Sustainability mindset) involves range distincti...

A recently developed computational methodology for executing numerical calculations with infinities and infinitesimals is described in this paper. The approach developed has a pronounced applied character and is based on the principle “The part is less than the whole” introduced by the ancient Greeks. This principle is applied to all numbers (finite, infinite, and infinitesimal) and to all sets...

The Gauss Center research on multiscale computational methods is reported, emphasizing main ideas and interrelations between various elds, and listing the relevant bibliography. The reported areas include: top-eeciency multigrid methods in uid dynamics; atmospheric ows and data assimilation; feedback optimal control; PDE solvers on unbounded domains; wave/ray methods for highly indeenite equati...