Linear Partial Differential Equations: Analysis and Numerics
As taught in: Fall 2010
Contour plots of the eigenfunctions for the smallest three eigenvalues λ of the −∇2 operator on a triangular half of a square (cut diagonally), with Dirichlet boundary conditions. (Image by Steven G. Johnson.)
Instructors:
Prof. Steven G. Johnson
MIT Course Number:
18.303
Level:
Undergraduate
Course Features
Course Description
This course provides students with the basic analytical and computational tools of linear partial differential equations (PDEs) for practical applications in science engineering, including heat/diffusion, wave, and Poisson equations. Analytics emphasize the viewpoint of linear algebra and the analogy with finite matrix problems. Numerics focus on finite-difference and finite-element techniques to reduce PDEs to matrix problems.
