Multiscale mathematics is a branch of applied and computational mathematics concerned with the accurate and efficient solution of mathematical expressions representing the physical laws of nature across several levels of physical organization and/or spatial/temporal scales.
The primary areas of mathematical and algorithmic development include:
- Continuum modeling
- Discrete modeling
- Analytical modeling
- Statistical modeling
- Network-based modeling
Famous quotes containing the word mathematics:
“Mathematics alone make us feel the limits of our intelligence. For we can always suppose in the case of an experiment that it is inexplicable because we don’t happen to have all the data. In mathematics we have all the data ... and yet we don’t understand. We always come back to the contemplation of our human wretchedness. What force is in relation to our will, the impenetrable opacity of mathematics is in relation to our intelligence.”
—Simone Weil (1909–1943)