Article history: Received 8 January 2017 Accepted 27 March 2017 Available online xxxx

An alternative example of the method of multiple scales is presented. This example arises in the study of the classical heat equation with a slowly varying flux imposed at one end. The module presents introductory ideas about dimensionless variables, multiple-scale expansions, and scaling of the dependent variable. The necessarily obfuscating algebraic computation is less than that for more fam...

Recent work of the authors and colleagues on the turbulent mixing of compressible fluids is developed and extended with an emphasis on the multiscale aspects of this work. Specifically, we study an interplay between micro and macro aspects of mixing. 2008 Elsevier B.V. All rights reserved.

U O Q U A N T Fraction of surface atoms in contact, A /A f i c  Friction proportional to Ac and Ac proportional to load L for rough surfaces  Flat surfaces in complete contact at any load Molecular Simulations Differ on Applicability of Macroscopic Results at Atomic Scales friction and adhesion in macroscopic models  Results for flat surfaces can be mapped directly to other geometries usi...

c © 2008 by John von Neumann Institute for Computing Permission to make digital or hard copies of portions of this work for personal or classroom use is granted provided that the copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. To copy otherwise requires prior specific permission by the publisher ment...

Review of Project Objectives: Our overall objective for the three-year duration of this project is to design an adaptive, learning, simulation technique for polymers covering the range from atoms to coarsegrained chains, and apply the technique to the description of nanofilled polymers. Accomplishing this objective requires four activities, with the first two corresponding to the first two proj...

c © 2009 by John von Neumann Institute for Computing Permission to make digital or hard copies of portions of this work for personal or classroom use is granted provided that the copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. To copy otherwise requires prior specific permission by the publisher ment...