Numerical methods for conservation laws
MATH-459
Notes on the Method of Characteristics
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Description
This file describes the Method of Characteristics, which is quite helpful for you to solve the exercises. The key idea is to break the spatial derivative of the flux into two parts, one part is with the spatial derivative of the conserved variable, the other part is what remains. Then you can build an ODE for the evolution of the conserved variable w.r.t. time, and obtain the solution.