Rational approximation of holomorphic semigroups revisited
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866916173307707392 |
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| author | Batty, Charles Gomilko, Alexander Tomilov, Yuri |
| author_facet | Batty, Charles Gomilko, Alexander Tomilov, Yuri |
| contents | Using a recently developed $\mathcal H$-calculus we propose a unified approach to the study of rational approximations of holomorphic semigroups on Banach spaces. We provide unified and simple proofs to a number of basic results on semigroup approximations and substantially improve some of them. We show that many of our estimates are essentially optimal, thus complementing the existing literature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_15894 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rational approximation of holomorphic semigroups revisited Batty, Charles Gomilko, Alexander Tomilov, Yuri Functional Analysis Numerical Analysis Analysis of PDEs Using a recently developed $\mathcal H$-calculus we propose a unified approach to the study of rational approximations of holomorphic semigroups on Banach spaces. We provide unified and simple proofs to a number of basic results on semigroup approximations and substantially improve some of them. We show that many of our estimates are essentially optimal, thus complementing the existing literature. |
| title | Rational approximation of holomorphic semigroups revisited |
| topic | Functional Analysis Numerical Analysis Analysis of PDEs |
| url | https://arxiv.org/abs/2403.15894 |