Finite element methods, numerical methods for time dependent PDEs, numerical linear algebra and libraries, parallel programming with message passing systems, data parallel programming, parallel libraries for numerical linear algebra, parallel programs for PDE problems. Techniques for high performance scientific computation with a brief introduction to the theory of each topic. Also offered as CMSC 666. Also offered as CMSC 667. Nonlinear systems of equations, ordinary differential equations, boundary value problems.
Course is offered in the spring semester only.
Also offered as MATH 671. The content of this course varies with the interests of the instructor and the class. Stability theory, control, time delay systems, Hamiltonian systems, bifurcation theory, and boundary value problems. Also offered as MATH 674. Boundary value problems for elliptic partial differential equations via operator-theoretic methods.