18.303 Linear Partial Differential Equations: Analysis and Numerics, Fall 2010

Author(s)
Johnson, Steven G.
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Alternative title
Linear Partial Differential Equations: Analysis and Numerics
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Abstract
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.
Date issued
2010-12
URI
http://hdl.handle.net/1721.1/97715
Department
Massachusetts Institute of Technology. Department of Mathematics
Other identifiers
18.303-Fall2010
local: 18.303
local: IMSCP-MD5-db0e8fb9184ce4fd99f462c61816c6be
Keywords
diffusion, Laplace equations, Poisson, wave equations, separation of variables, Fourier series, Fourier transforms, eigenvalue problems, Green's function, Heat Equation, Sturm-Liouville Eigenvalue problems, quasilinear PDEs, Bessel functionsORDS
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