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

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• 1. Cut finite element methods Erik Burman, Peter Hansbo, Mats G. Larson and Sara Zahedi; 2. Ensemble Kalman methods: a mean-field perspective Edoardo Calvello, Sebastian Reich and Andrew M. Stuart; 3. The discontinuous Petrov–Galerkin method Leszek Demkowicz and Jay Gopalakrishnan; 4. Time parallelization for hyperbolic and parabolic problems Martin J. Gander, Shu-Lin Wu and Tao Zhou; 5. Optimization problems governed by systems of PDEs with uncertainties Matthias Heinkenschloss and Drew P. Kouri; 6. Distributionally robust optimization Daniel Kuhn, Soroosh Shafiee and Wolfram Wiesemann; 7. Acceleration methods for fixed-point iterations Yousef Saad; 8. Sparse linear least-squares problems Jennifer Scott and Miroslav Tůma.