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
- Andrea L. Bertozzi, University of California, Los Angeles
- Liliana Borcea, University of Michigan
- Russel Caflisch, Courant Institute of Mathematical Sciences, New York University
- Eric Cances, CERMICS
- José A. Carrillo, Imperial College London
- Hector Ceniceros, University of California, Santa Barbara
- Long Chen, University of California Irvine
- Tom Chou, University of California, Los Angeles
- Daan Crommelin, CWI
- Yalchin Efendiev, Texas A&M University
- Albert Fannjiang, University of California, Davis
- Susan Friedlander, University of Southern California
- Gero Friesecke, Technical University Munich
- Roger Ghanem, University of Southern California
- Cory Hauck, Oak Ridge National Laboratory
- Michael Herty, RWTH Aachen
- Thomas Hou, California Institute of Technology
- Shi Jin, Shanghai Jiao Tong University
- Ralf Kornhuber, Freie Universitaet Berlin
- Frederic Legoll, ENPC
- Guang Lin, Purdue University West Lafayette
- Robert Lipton, Louisiana State University
- Jianfeng Lu, Duke University
- Mitchell Luskin, University of Minnesota
- Peter Markowich, University of Vienna
- Alexander B. Movchan, University of Liverpool
- Barbara Niethammer, Universitaet Bonn
- Yasumasa Nishiura, Tohoku University
- Stanley Osher, University of California, Los Angeles
- Lorenzo Pareschi, University of Ferrara
- Grigorios A. Pavliotis,Imperial College London
- Petr Plechac, University of Delaware
- Zuowei Shen, National University of Singapore
- Mary Silber, University of Chicago
- James Sneyd, University of Auckland
- Jared Tanner, Oxford University
- Hamdi Tchelepi, Stanford University
- Richard Tsai, University of Texas, Austin
- Mark Tuckerman, New York University
- Rachel Ward University of Texas, Austin
- Pingwen Zhang, Peking University
- 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.
