Mathematics 697MS - ST-Multiscale Methods

This course studies problems with multiple scales in time and/or space and derive simplified equations that feel the fine-scale effects in an averaged way. Multiscale structure is widely found in mathematics applied to biological, chemical, and engineering applications, and the study of such structures is a rapidly developing field. We will study multiscale discrete and continuum models starting with ordinary differential equations and progressing to include Markov processes, stochastic differential equations, and partial differential equations.

Open to Graduate students only. MATH 331 & 623 or 651