Titlebook: Impact of Scientific Computing on Science and Society; Pekka Neittaanm?ki,Marja-Leena Rantalainen Book 2023 The Editor(s) (if applicable)

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Curiously Empty Intersection of?Proof Engineering and?Computational Sciencessting insights into the mathematical structure of the methods and help us implement them with stronger guarantees of correctness. We also postulate that working in this way could dramatically change the way we study and communicate computational sciences.

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A Posteriori Error Estimates for?Domain Decomposition Methodsions computed via these domain decomposition methods by performing only subdomain-wise computations. The presented guaranteed error bounds use an extended set of admissible fluxes which arise naturally in domain decomposition methods.

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