Douglas Arnold is McKnight Presidential Professor of Mathematics at the University of Minnesota.

• 1. Splitting methods for differential equations Sergio Blanes, Fernando Casas and Ander Murua; 2. Adaptive finite element methods Andrea Bonito, Claudio Canuto, Ricardo H. Nochetto and Andreas Veeser; 3. The geometry of monotone operator splitting methods Patrick L. Combettes; 4. Numerical analysis of physics-informed neural networks and related models in physics-informed machine learning Tim De Ryck and Siddhartha Mishra; 5. Optimal experimental design: Formulations and computations Xun Huan, Jayanth Jagalur and Youssef Marzouk; 6. The Moment-SOS hierarchy: applications and related topics Jean B. Lasserre.