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math.NA2026
Mixed precision solvers for the all-at-once Runge--Kutta discretization of the heat equation
Santolo Leveque, Luca Bergamaschi, Ángeles Martínez +1
We study the effect of mixed precision on the numerical integration of the heat equation discretized with a Runge--Kutta method in time. A full space-time discretization is applied…
math.NA2026
Spectral Analysis of Block Diagonally Preconditioned Multiple Saddle-Point Matrices with Inexact Schur Complements
Marco Pilotto, Luca Bergamaschi, Angeles Martinez
We derive eigenvalue bounds for symmetric block-tridiagonal multiple saddle-point systems preconditioned with block-diagonal Schur complement matrices. This analysis applies to an…