Time Filters and Predictive Accuracy

The problem of numerical solution of complicated, coupled systems of evolution equations arises in nearly every application of scientific and technological importance and has spurred the development of much of modern numerical analysis. This has proven to be an area where appetite for better algorithms and greater computational resources expands to match both. Current practice often involves using either splitting methods or different time discretizations for different terms representing different physical effects, considered herein. The resulting implicit-explicit (IMEX) combinations of methods are beyond the powerful theory of linear multistep methods and must be analyzed method by method until a systematic theory develops. These combinations lead to new computational artifacts for which novel time filters and stabilizations have developed. The workshop aims to promote the direct interaction between experts from different communities, link rigorous numerical analysis and analysis of PDEs with current problems of impact.