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Advanced Partial Differential Equations 1

Faculty of ScienceMathematics
Credits4
·
Semester offeredSemester 1 (Fall)
·
Last updated3 months ago

Description

Classification and wellposedness of linear and nonlinear partial differential equations; energy methods; Dirichlet principle. Brief introduction to distributions; weak derivatives. Fundamental solutions and Green's functions for Poisson equation, regularity, harmonic functions, maximum principle. Representation formulae for solutions of heat and wave equations, Duhamel's principle. Method of Characteristics, scalar conservation laws, shocks.

Course outline
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MATH580 has possible credit equivalents including MATH 462 at University of Maryland, College Park.

CourseUniversityQwest Score
MATH 462
Partial Differential Equations
University of Maryland, College Park74
MATH10086
Advanced Methods of Applied Mathematics
The University of Edinburgh74
MH4110
Partial Differential Equations
Nanyang Technological University73
MATH 255
Ordinary Differential Equations
University of British Columbia73
MATH 215
Elementary Differential Equations I
University of British Columbia73