M 393C Multiscale Modeling/Computation (54495)
TTh 11am - 12:30pm
Course Description: This course will cover a selection of mathematical theory and computational methods commonly used in multiscale computations. The topics include: survey of physical models used at different length and time scales, classical asymptotic and perturbation analysis, WKG methods and averaging methods for oscillatory problems, and analytical and numerical homogenization methods. We shall also discuss basic ideas of wavelet transform and L1 regularization and sparsity promoting algorithms.