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Advanced Partial Differential Equations with Applications, Spring 2004

(Complete Item Description)

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.

Subject:: Mathematics and Statistics
Grade Level:: Post-secondary
Collection:: MIT OpenCourseWare

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Top Keywords

Asymptotics Characteristics and Shocks Diffusion Dimensional Analysis Dispersion Electrical Engineering Fluid Dynamics Free-Boundary Problems Geometrical Theory Green's Functions Initial and Boundary Value Problems Materials Science mathematics Mechanical Engineering Nonlinear Pde Partial Differential Equations (Pde) Quantum Mechanics Self-Similarity Separation of Variables Singular Perturbation and Boundary Layers Solitons Transform Methods Traveling Waves Variational Methods

Conditions of Use

No Strings Attached
Remix and Share
Share Only
Read the Fine Print

No restrictions on your remixing, redistributing, or making derivative works. Give credit to the author, as required.

Your remixing, redistributing, or making derivatives works comes with some restrictions, including how it is shared.

Your redistributing comes with some restrictions. Do not remix or make derivative works.

Copyrighted materials, available under Fair Use and the TEACH Act for US-based educators, or other custom arrangements. Go to the resource provider to see their individual restrictions.

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