307 High-order, Asynchronous, and Adaptive Methods for Time-Dependent Problems

Robert Haber, University of Illinois at Urbana-Champaign
Reza Abedi, University of Tennessee Space Institute
Sander Rhebergen, University of Waterloo
Efforts to develop effective numerical methods for time-dependent problems in science and engineering have achieved substantial success, including efficient implementations on petascale platforms. Nonetheless, strongly multiscale and multi-physics problems continue to pose unmet challenges, and the scalability of existing algorithms to exascale systems is a major concern. This minisymposium explores the theory and applications of state-of-the-art and emerging methods for solving ODE and PDE-based models that use various combinations of high-order, asynchronous, and adaptive models to meet these challenges. Methods of interest include (but are not limited to) ADER-DG, space-time DG, space-time parallel multigrid methods, IMEX, pseudo-time, local time-stepping, and optimal test function methods. Presentations describing novel solution schemes and software architectures suitable for implementation on exascale systems are also welcome.