MATH 617 Numerical Solutions of Differential Equations
This course focuses on numerical methods for partial differential equations (PDEs), with an emphasis on a rigorous mathematical basis. The fundamentals of numerical approximations and efficient numerical approaches are presented. Particular attention is given to a qualitative understanding of PDE models, the basic concepts of finite differences and finite elements, as well as important concepts such as stability, convergence, and error analysis.
Prerequisite
Undergraduate courses in differential equations, engineering mathematics, basic knowledge of functional analysis and partial differential equations, and some programming skills