Linear Partial Differential Equations: Analysis and Numerics

Graphic showing three contour plots.

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.)

Instructor(s)

MIT Course Number

18.303

As Taught In

Fall 2010

Level

Undergraduate

Cite This Course

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.

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Johnson, Steven. 18.303 Linear Partial Differential Equations: Analysis and Numerics, Fall 2010. (MIT OpenCourseWare: Massachusetts Institute of Technology), http://ocw.mit.edu/courses/mathematics/18-303-linear-partial-differential-equations-analysis-and-numerics-fall-2010 (Accessed). License: Creative Commons BY-NC-SA


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