A catching-up algorithm for differential inclusions with maximal monotone operators converges to continuous solutions on finite horizons with stability and explicit error bounds under dissipativity and Lipschitz assumptions.
Brézis.Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert, volume 5 ofNorth-Holland Mathematics Studies
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Convergence and Stability of a Catching-Up Algorithm for Differential Inclusions with Maximal Monotone Operators
A catching-up algorithm for differential inclusions with maximal monotone operators converges to continuous solutions on finite horizons with stability and explicit error bounds under dissipativity and Lipschitz assumptions.