Article history: Received 1 March 2013 Accepted 30 June 2013 Available online 12 July 2013

Multiscale modelling as an emerging modelling paradigm is now widely regarded as a promising and powerful tool in various disciplines. However, a multiscale model is usually much more difficult to develop than a single-scale model due to a range of challenges. This work presents a methodology to facilitate the development of multiscale models, which comprises three main modelling steps, namely ...

In this paper a new multiscale modeling technique is proposed. It relies on a recently introduced measure-theoretic approach, which allows one to manage the microscopic and the macroscopic scale under a unique framework. In the resulting coupled model the two scales coexist and share information. This way it is possible to perform numerical simulations in which the trajectories and the density ...

The “equation-free” approach has been proposed in recent years as a general framework for developing multiscale methods to efficiently capture the macroscale behavior of a system using only the microscale models. In this paper, we take a close look at some of the algorithms proposed under the “equation-free” umbrella, the projective integrators and the patch dynamics. We discuss some very simpl...

Prospects for development of science-intensive industrial sectors demand to carry out new researches of physicochemical processes in extreme conditions and in the design of new materials. The development of predictive modeling at an atomic-molecular level is becoming particularly relevant in recent time. Nowadays such approaches have become possible due to improvements in modern supercomputer t...

The “equation-free” approach has been proposed in recent years as a general framework for developing multiscale methods for efficiently capturing the macroscale behavior of a system using only the microscale models. In this paper, we take a close look at some of the algorithms proposed under the “equation-free” umbrella, the projective integrators and the patch dynamics. We discuss some very si...

Broad-scale spatiotemporal processes in conservation and sustainability science, such as continent-wide animal movement, occur across a range of spatial and temporal scales. Understanding these processes at multiple scales is crucial for developing and coordinating conservation strategies across national boundaries. In this paper we propose a general class of models we call AdaSTEM, for Adaptiv...

Pair–production of heavy top quarks at the Tevatron Collider is significantly enhanced by the color–octet technipion, ηT , occurring in multiscale models of walking technicolor. We discuss tt rates for mt = 170GeV and MηT = 400 − 500GeV. Multiscale models also have color–octet technirho states in the mass range 200 − 600GeV that appear as resonances in dijet production and technipion pair–produ...

During each ovarian cycle, numerous follicles are in competition for their survival, only a few of them ovulate and participate to the reproduction as fertilizable oocyte. Therefore, the development of ovarian follicles is crucial for the survival of mammals species and a better understanding of this selection process is required to improve the treatment of infertility or to improve the reprodu...

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