Please use this identifier to cite or link to this item:
http://hdl.handle.net/1942/40764
Title: | Functional-preserving predictor-corrector multiderivative schemes | Authors: | Ranocha, Hendrik SCHUETZ, Jochen THEODOSIOU, Eleni |
Issue Date: | 2023 | Source: | Status: | Early view | Abstract: | In this work, we develop a class of high-order multiderivative time integration methods that is able to preserve certain func-tionals discretely. Important ingredients are the recently developed Hermite-Birkhoff-Predictor-Corrector methods and the technique of relaxation for numerical methods of ODEs. We explain the algorithm in detail and show numerical results for two-and three-derivative methods, comparing relaxed and unrelaxed methods. The numerical results demonstrate that, at the slight cost of the relaxation, an improved scheme is obtained. | Document URI: | http://hdl.handle.net/1942/40764 | DOI: | 10.1002/pamm.202300025 | Rights: | 2023WILEY-VCHGmbH | Category: | A2 | Type: | Journal Contribution |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
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2308.04876.pdf | Non Peer-reviewed author version | 209.03 kB | Adobe PDF | View/Open |
Proc Appl Math and Mech - 2023 - Ranocha.pdf Restricted Access | Early view | 756.38 kB | Adobe PDF | View/Open Request a copy |
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