Foundations of Computational Mathematics

Mark Fornace, Michael Lindsey
Column and row subset selection using nuclear scores: algorithms and theory for Nyström approximation, CUR decomposition, and graph Laplacian reduction
Received 9 August 2024; accepted 22 June 2026

Jason Altschuler, Pablo Parrilo
Acceleration by random stepsizes: Hedging, equalization, and the arcsine stepsize schedule
Received 8 December 2024; accepted 5 May 2026

Ariel Neufeld, Qikun Xiang
Numerical method for feasible and approximately optimal solutions of multi-marginal optimal transport beyond discrete measures
Received 19 December 2024; accepted 3 June 2026

Dominique Attali, Hana Dal Poz Kouřimská, Christopher Fillmore, Ishika Ghosh, André Lieutier, Elizabeth Stephenson, Mathijs Wintraecken
Tight Bounds for Homotopy Learning à la Niyogi, Smale, and Weinberger for Subsets of Euclidean Spaces
Received 28 January 2025; accepted 13 July 2026

Valérie Castin, Pierre Ablin, José Antonio Carrillo, Gabriel Peyré
A Unified Perspective on the Dynamics of Deep Transformers
Received 4 February 2025; accepted 4 June 2026

Marta Ghirardelli, Brynjulf Owren, Elena Celledoni
Conditional stability of the Euler method on Riemannian manifolds
Received 19 March 2025; accepted 3 May 2026

Liviu I. Ignat, Enrique Zuazua
Optimal convergence rates for the finite element approximation of the Sobolev constant
Received 10 April 2025; accepted 22 May 2026

Nira Dyn, Nir Sharon
Subdivision Schemes in Metric Spaces
Received 9 September 2025; accepted 6 June 2026

Alex Blumenthal, Isaia Nisoli, Toby Taylor-Crush
A pseudospectral approach to rigorous numerical estimation of resonances of transfer operators
Received 10 September 2025; accepted 1 June 2026

Genming Bai, Harald Garcke, Shravan Veerapaneni
A convergent finite element method for two-phase Stokes flow driven by surface tension
Received 24 September 2025; accepted 25 June 2026