18.303 Linear Partial Differential Equations, Fall 2005
Author(s)Hancock, Matthew James, 1975-
Linear Partial Differential Equations
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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.
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