18.306 Advanced Partial Differential Equations with Applications, Spring 2004
Citable URI:
http://hdl.handle.net/1721.1/56302
| Title: | 18.306 Advanced Partial Differential Equations with Applications, Spring 2004 |
| Author: | Margetis, Dionisios |
| Issue Date: | 2004-06 |
| 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. |
| URI: | http://hdl.handle.net/1721.1/56302 |
| Other Identifiers: | 18.306-Spring2004 |
| Other Identifiers: | 18.306 IMSCP-MD5-69c946018adbaeba7014e807b79f34c3 |
| Keywords: | partial differential equations (pde), nonlinear pde, Diffusion, dispersion, Initial and boundary value problems, Characteristics and shocks, Separation of variables, transform methods, Green's functions, Asymptotics, geometrical theory, Dimensional analysis, self-similarity, traveling waves, Singular perturbation and boundary layers, Solitons, Variational methods, Free-boundary problems, fluid dynamics, electrical engineering, mechanical engineering, materials science, quantum mechanics, 270301, Applied Mathematics, 270103, Analysis and Functional Analysis |
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