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From the 3 of 102 papers with an AI index.

most citedConditional anomaly detection with soft harmonic functions

21 citations

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math.NA2026

A Fully Discrete Nonnegativity-Preserving FEM for a Stochastic Heat Equation

Owen Hearder, Claude Le Bris, Ana Djurdjevac

We consider a stochastic heat equation with nonlinear finite-rank space-coloured multiplicative noise that admits a unique nonnegative solution when given nonnegative initial data.…

math.NA2026★ 6 cited

Structure-preserving approximations of the Serre-Green-Naghdi equations in standard and hyperbolic form

Hendrik Ranocha, Mario Ricchiuto

We develop structure-preserving numerical methods for the Serre-Green-Naghdi equations, a model for weakly dispersive free-surface waves. We consider both the classical form, requi…

math.NA2026★ 11 cited

A pressure-robust HHO method for the solution of the incompressible Navier-Stokes equations on general meshes

Daniel Castanon Quiroz, Daniele A. Di Pietro

In a recent work [10], we have introduced a pressure-robust Hybrid High-Order method for the numerical solution of the incompressible Navier-Stokes equations on matching simplicial…