Advanced Partial Differential Equations with Applications, Spring 2004
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| Type: | Course Related Materials |
| Grade Level: | Post-secondary |
Author: Margetis, Dionisios
Subject: Mathematics and Statistics
Institution Name:
M.I.T.
Collection Name: MIT OpenCourseWare
Abstract: A comprehensive treatment of the theory of partial differential equations (pde) from an applied mathematics perspective. Equilibrium, propagation, diffusion, and other phenomena. Initial and boundary value problems. Transform methods, eigenvalue and eigenfunction expansions, Green's functions. Theory of characteristics and shocks. Boundary layers and other singular perturbation phenomena. Elementary concepts for the numerical solution of pde's. Illustrative examples from fluid dynamics, nonlinear waves, geometrical optics, and other applications.
Details
Course Type: Full Course
Material Types: Assessments, Homework and Assignments, Lecture Notes, Syllabi
Media Formats: Text/HTML, Downloadable docs
Language: English
Additional Information
Geographic
Regional Relevance: All
