2 papers
math.NA2026
Non-asymptotic uniform in time error bounds for new and old numerical schemes for SPDEs
Can Huang, Michela Ottobre, Gideon Simpson
We study numerical schemes for Stochastic Partial Differential Equations (SPDEs). We introduce a general method of proof of non-asymptotic uniform in time error bounds on numerical…
math.AP2025
Counting the number of stationary solutions of Partial Differential Equations via infinite dimensional sampling
Martin Kolodziejczyk, Michela Ottobre, Gideon Simpson
This paper is concerned with the problem of counting solutions of stationary nonlinear Partial Differential Equations (PDEs) when the PDE is known to admit more than one solution.…