18.303 Linear Partial Differential Equations: Analysis and Numerics, Fall 2010
Name
18-303-fall-2010/contents/index.htm
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33.61 KB
Format
HTML
Checksum (MD5)
40e99608a9952a4d440c06ca1575fe92
Author(s)
Johnson, Steven G.
Alternative Title
Linear Partial Differential Equations: Analysis and Numerics
Date Issued
December 2010
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.
Subjects
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
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Persistent DSpace Link
