Discusses state-of-the-art methods and software for the fast and accurate numerical solution of problems with features on multiple scales. This course starts from the fundamentals of numerical computation (linear solve, interpolation, differentiation, quadrature) and builds up to hybrid ODE solvers and boundary integral equation methods. Methods for developing scientific computing software will be discussed and practiced in-class and via assignments. Recommended prerequisite: CSCI 3656 Numerical Computation, CSCI 5636 Numerical Solution of Partial, Differential Equations, Knowledge of a programming language (eg Python, C++, MATLAB), Linear algebra, and Calculus, including vector calculus, Complex analysis.
