Introduction to important classes of numerical methods for partial differential equations, notably finite difference and finite element methods. Emphasis on a solid understanding of the accuracy of these methods, with a view toward the interplay between theory and practice. Topics may include finite difference and finite element methods for elliptic equations; finite difference methods for parabolic equations; and numerical methods for hyperbolic equations and conservation laws. Prerequisite: Mathematics 561, 563, or consent of instructor. Instructor: Staff