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

This is the second edition of a well-received book providing the fundamentals of the theory hyperbolic conservation laws. Several chapters have been rewritten,

This book focuses on the interplay between Eulerian and Lagrangian conservation laws for systems that admit physical motivation and originate from continuum mec