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.)


MIT Course Number


As Taught In

Fall 2010



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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), (Accessed). License: Creative Commons BY-NC-SA

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