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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.)
Prof. Steven G. Johnson
18.303
Fall 2010
Undergraduate
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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