Summary
If a mathematical model contains many different scales the computational cost for its numerical solution is very large. The smallest scale must be resolved over the distance of the largest scale. A huge number of unknowns are required and until recently many such problems could not be treated computationally. We will discuss a new set of numerical techniques that couples models for different scales in the same simulation in order to handle many realistic multi-scale problems. In most of this presentation we shall survey existing methods but we shall also give some new observations.
In honor of Lennart Carleson on his 75th birthday
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© 2005 Springer-Verlag Berlin Heidelberg
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Engquist, B. (2005). Multi-scale Modeling. In: Benedicks, M., Jones, P.W., Smirnov, S., Winckler, B. (eds) Perspectives in Analysis. Mathematical Physics Studies, vol 27. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-30434-7_5
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DOI: https://doi.org/10.1007/3-540-30434-7_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-30432-6
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