Nonlinearly-Stable High-Order Methods on Simplices with Improved Efficiency

Today, I will discuss the summation by parts property. Some of you may have heard me address this topic before, while others may be encountering it for the first time. We are gathered here for three key reasons, and I apologize to CJ and Tonga for not having a slide dedicated to them; I only have one for Anthony, as he is a prominent figure in our field.

Anthony Jamieson, though he may not be present today, is a remarkable individual. It is challenging to offer new insights about him that haven't already been shared. Here, I have compiled a list of some of his academic mentees. I apologize to anyone who is not included; this is not intended to be a comprehensive list, but rather a selection of individuals I am familiar with.

When I first attended conferences as a newcomer, Anthony appeared to be an imposing figure. He always dressed elegantly, often wearing an ascot, and his talks were so popular that attendees had to arrive early to secure a seat, as the rooms were typically crowded. Engaging with him was difficult, as he was often surrounded by admirers. Fortunately, I was able to connect with him through mutual friends, Tom Poliam and Bob McCormick, which allowed me to see a different side of him. Contrary to his public persona, Anthony is a thoughtful, engaging, and warm individual.

Regarding high-order methods, I do not have much to add, and I am not promoting anything specific at this time.