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math.NA2026
Error Bound and Stability Analysis for a Randomized Singly Diagonally Implicit Runge-Kutta Method
Monika Eisenmann, Marvin Jans, Raphael Kruse +1
A randomized Singly Diagonally Implicit Runge-Kutta (SDIRK) method, based on the randomized trapezoidal rule as the underlying quadrature scheme, is proposed. Every realization of…
math.NA2026
Convergence analysis of Schwarz-like methods for degenerate elliptic-parabolic equations
Monika Eisenmann, Eskil Hansen
Convergence is proven for Schwarz-like methods applied to degenerate elliptic-parabolic equations with a -structure. This family of PDEs, e.g., arises when modelling nonlinear d…