Introduction. In 1999 multiscale modeling / multiscale mathematics seemed to burst into the academic world.  Mark F. Horstemeyer of Mississippi State University cites the exponential increase of published titles that included the word “multiscale.”  Today, the SIAM journal, Multiscale Modeling and Simulation, cites editors and authors from the most prestigious schools and research laboratories from around the world.

Perspective. Notwithstanding, none of the work done to date within this domain of study starts with infinitesimal Planck units of length and time. These two physical computations by Max Planck in 1899 are abstractions too far removed from practical applications. That this Planck scale could be pervasive throughout all time and space has not been a consideration within the multiscale paradigm.

To  date, only Jack Xin and Pingwen Zhang have been asked about its relevance.  With this writing, all the associate editors of the SIAm publication, Multiscale Modeling and Simulation, will be asked for their opinions. Of particular interest at this stage of our exploration is any multiscale research within particle physics.

Scholarship. Out of thousands of articles, we lift out the following for review:

• Modeling Materials: Continuum, Atomistic and Multiscale Techniques (E. B. Tadmor and R. E. Miller, Cambridge University Press, 2011)
• An Introduction to Computational Multiphysics II: Theoretical Background Part I, Harvard University video series
• SIAM, Journal of Multiscale Modeling and Simulation
• Google scholars
• Scholarpedia
• Wikipedia’s research

Multiscale Modeling and Simulation
Editor-in-Chief, Jack Xin, University of California, Irvine
Associate Editors

1. Andrea L. Bertozzi, University of California, Los Angeles
2. Liliana Borcea, University of Michigan
3. Russel Caflisch, Courant Institute of Mathematical Sciences, New York University
4. Eric Cances, CERMICS
5. José A. Carrillo, Imperial College London
6. Hector Ceniceros, University of California, Santa Barbara
7. Long Chen, University of California Irvine
8. Tom Chou, University of California, Los Angeles
9. Daan Crommelin, CWI
10. Yalchin Efendiev, Texas A&M University
11. Albert Fannjiang, University of California, Davis
12. Susan Friedlander, University of Southern California
13. Gero Friesecke, Technical University Munich
14. Roger Ghanem, University of Southern California
15. Cory Hauck, Oak Ridge National Laboratory
16. Michael Herty, RWTH Aachen
17. Thomas Hou, California Institute of Technology
18. Shi Jin, Shanghai Jiao Tong University
19. Ralf Kornhuber, Freie Universitaet Berlin
20. Frederic Legoll, ENPC
21. Guang Lin, Purdue University West Lafayette
22. Robert Lipton, Louisiana State University
23. Jianfeng Lu, Duke University
24. Mitchell Luskin, University of Minnesota
25. Peter Markowich, University of Vienna
26. Alexander B. Movchan, University of Liverpool
27. Barbara Niethammer, Universitaet Bonn
28. Yasumasa Nishiura, Tohoku University
29. Stanley Osher, University of California, Los Angeles
30. Lorenzo Pareschi, University of Ferrara
31. Grigorios A. Pavliotis,Imperial College London
32. Petr Plechac, University of Delaware
33. Zuowei Shen, National University of Singapore
34. Mary Silber, University of Chicago
35. James Sneyd, University of Auckland
36. Jared Tanner, Oxford University
37. Hamdi Tchelepi, Stanford University
38. Richard Tsai, University of Texas, Austin
39. Mark Tuckerman, New York University
40. Rachel Ward University of Texas, Austin
41. Pingwen Zhang, Peking University
42. Hongkai Zhao, University of California, Irvine

Horstemeyer, M. F. (2009). “Multiscale Modeling: A Review”. In Leszczyński, Jerzy; Shukla, Manoj K. Practical Aspects of Computational Chemistry: Methods, Concepts and Applications. pp. 87–135. ISBN 978-90-481-2687-3.