18.303 Linear Partial Differential Equations: Analysis and Numerics
Provides students with the basic analytical and computational tools of linear partial differential equations (PDEs) for practical applications in science and engineering, including heat/diffusion, wave, and Poisson equations. Analytics emphasize the viewpoint of linear algebra and the analogy with finite matrix problems. Studies operator adjoints and eigenproblems, series solutions, Green's functions, and separation of variables. Numerics focus on finite-difference and finite-element techniques to reduce PDEs to matrix problems, including stability and convergence analysis and implicit/explicit timestepping. Some programming required for homework and final project.
18.303 will not be offered this semester. It will be available in the Spring semester, and will be instructed by C. Perez-Arancibia.
This class counts for a total of 12 credits.
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