Abstract
Some convergence and stability results for rational approximations of holomorphic semigroups are presented. The approximations are related to time discrete schemes with nonuniform stepsize to a linear evolution equation of parabolic type in a Banach space. Our theorems cover not only the backward Euler but also the Crank-Nicolson and forward Euler schemes.
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Saito, N. Remarks on the rational approximation of holomorphic semigroups with nonuniform partitions. Japan J. Indust. Appl. Math. 21, 323–337 (2004). https://doi.org/10.1007/BF03167586
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DOI: https://doi.org/10.1007/BF03167586