CHEN 3201 Lecture Notes - Lecture 1: Claude-Louis Navier, Identity Matrix

• School: UMN
• Department: Chemical Engineering
• Course: CHEN 3201
• Professor: Kevin Dorfman

Document Summary

L = operator y = vector of unknowns f = vector forcing functions x = vector of unknowns. L-1. l. y = l-1f(x) y = l-1f(x) y = 1. Although there are analytical solutions to first and 2nd order linear odes w/ constant coefficients, these are actualy a limited class of problems: ex. -> this = incompressible navier stokes eqn --> can"t solve analytically with exception of special cases (linear, 1st order ode, quadratic eqn), you can almost never solve analytically the problem. There are a few important classes of problems that you can solve (subject to minor restrictions) - focus of next few lectures. Computers can can solve: solve linear systems of algebraic eqns.