An introduction to hyperbolic PDEs and a class of numerical methods for approximating their solution, including both linear problems and nonlinear conservation laws.To obtain a linear equation, we assume traffic is light enough that cars are always traveling at the speed limit u(x), which can vary with x, the distance along the highway. If u(x) is piecewise constant, then this is exactly the same problem as theanbsp;...
|Title||:||Finite Volume Methods for Hyperbolic Problems|
|Author||:||Randall J. LeVeque|
|Publisher||:||Cambridge University Press - 2002-08-26|