Lecture 4.1: Outline
Lecture 4.1: Partial differential equations (PDEs): basics
- quick calculus brushup
- more than one independent parameter, often space + time
- classification
- boundary values
- ubiquitous; examples:
- wave equation
- diffusion equations in chemistry, biology, network flow, etc.
- quantum mechanics, Schrödinger wave equation
- electromagnetics, Maxwell's equations
- fluid dynamics
- mechanics [Tay86]
- solitons in shallow water
- optics
- solitons in optical fibers
- and so on, ad infinitum
master reference list