In January 2012 an Oberwolfach workshop took place on the topic of recent developments in the numerics of partial differential equations. Focus was laid on meth

The schemes are analyzed regarding their nonlinear stability Recently developed entropy schemes are presented A formalism is introduced for source terms

These notes developed from a course on the numerical solution of conservation laws first taught at the University of Washington in the fall of 1988 and then at

Conservation laws are the mathematical expression of the principles of conservation and provide effective and accurate predictive models of our physical world.

This monograph is devoted to the theory and approximation by finite volume methods of nonlinear hyperbolic systems of conservation laws in one or two space vari