18.303 Linear Partial Differential Equations, Fall 2004
Name
18-303Fall-2004/OcwWeb/Mathematics/18-303Fall-2004/CourseHome/index.htm
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13.55 KB
Format
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Checksum (MD5)
cbaf10ac478a0033b9a84deb9858c822
Author(s)
Hancock, Matthew James, 1975-
Alternative Title
Linear Partial Differential Equations
Date Issued
December 2004
Abstract
The classical partial differential equations of applied mathematics: diffusion, Laplace/Poisson, and wave equations. Methods of solution, such as separation of variables, Fourier series and transforms, eigenvalue problems. Green's function methods are emphasized. 18.04 or 18.112 are useful, as well as previous acquaintance with the equations as they arise in scientific applications.
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 functions
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
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