Front Tracking and Operator Splitting for
Nonlinear Partial Differential Equations

This page aims at reporting some of the activity within conservation laws and related areas at the University of Bergen (UiB), the University of Oslo (UiO) and the Norwegian University of Science and Technology (NTNU) up to around 1999. Some of the links lead to nice web-pages or mpeg-movies, and some only lead to PostScript files of papers describing the topic. See also the list of relevant publications. The activity involves the following active researchers.

Disclaimer: These pages have not been updated since August 1999 and thus do not completely represent current state. For more information on this activity, see the following web-pages: publications of Kenneth Hvistendahl Karlsen and Knut-Andreas Lie, or Nonlinear PDEs of evolution type - theory and numerics

Hyperbolic Conservation Laws

Scalar equations in one dimension: Front tracking and how to implement it. Initial value problems Initial-boundary value problems Variable coefficients Discontinuous flux functions	Scalar equations in several dimensions: Dimensional splitting Grid refinement (with a demonstration) Variable coefficients Initial-boundary value problems
Systems in one dimension: Front tracking The Euler equations Shallow water equations	Systems in several dimensions: The Euler equations The polymer system Shallow water equations