Hyperbolic Problems: Theory and Computation

This special issue of ‘Hyperbolic Problems: Theory and Computation’ presents selected papers from the presentations given in the mini-symposium entitled ‘Recent Progress in Hyperbolic Problems: Theory and Computation’ at the International Conference on Applied Mathematics, Modeling and Computational Science (AMMCS 2013), taking place inWaterloo, Ontario, Canada from August 26 to 30, 2013. Hyperbolic equations represent a fundamental class of PDEs, used to describe awide range of natural phenomena such as waves, shocks, flows, and signals, appearing across quantum levels to cosmological scales. During the last several decades, important advances have been made in the theory and in the numerical computation of accurate and stable solutions to these problems. Themini-symposium aimed to bring together researchers at all levels, providing an opportunity to share and discuss recent progress in both theoretical and computational aspects of hyperbolic problems. In total, 32 presentationswere given in themini-symposium. These presentations covered a broad spectrum of subjects related to problems dealing with hyperbolic PDEs found in various application areas ranging from geophysical problems to large-scale cosmological phenomena. The analysis of theoretical aspects of these problems, togetherwith a diverse set of implementations of numerical methods for their solution, were discussed in the talks.