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.
Barbu.Nonlinear Differential Equations of Monotone Types in Banach Spaces
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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.