Math 6644

The curriculum typically covers the progression from classical techniques to modern "accelerated" methods:

The course explores state-of-the-art iterative algorithms essential for problems where direct solvers (like Gaussian elimination) are computationally too expensive, such as those arising from the discretization of partial differential equations (PDEs) . math 6644

: Fixed-point iterations, Newton’s method, and quasi-Newton methods. math 6644

: Discretization of differential equations and managing sparse matrices. math 6644