MATLAB and Simulink Based Books
Written for graduate-level students and researchers, this book presents numerical methods based on operator splitting for a class of nonlinear partial differential equations possessing solutions with limited regularity or even discontinuous solutions. The book describes robust and efficient numerical methods that also yield mathematical insight. Topics covered include operator splitting for initial-value problems, general convergence theory, error estimates for hyperbolic problems, and convergence results for convection-diffusion problems.
A set of MATLAB code files is available via download.
Helge Holden, Norwegian University of Science and Technology
Kenneth H. Karlsen, University of Oslo
Knut-Andreas Lie, SINTEF
Nils Henrik Risebro, University of Oslo