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http://hdl.handle.net/1942/43592
Title: | Multi-step Hermite-Birkhoff predictor-corrector schemes | Authors: | THENERY MANIKANTAN, Arjun SCHUETZ, Jochen |
Issue Date: | 2024 | Publisher: | Source: | Applied numerical mathematics, 205 , p. 281 -295 | Status: | Early view | Abstract: | In this study, we introduce a multi-step multi-derivative predictor-corrector time integration scheme analogous to the schemes in Schütz et al. (J Sci Comput 90(54):1-33, 2022), incorporating a multi-step quadrature rule. We conduct stability analysis up to order eight and optimize the schemes to achieve A(α)-stability for large α. Numerical experiments are performed on ordinary differential equations exhibiting diverse stiffness conditions, as well as on partial differential equations showcasing non-linearity and higher-order terms. Results demonstrate the convergence and flexibility of the proposed schemes across diverse situations. | Keywords: | Multi-derivative;Multi-step;Time integration;Predictor-corrector;IVPs 2020 MSC: 65L04;65L05;65L20;65M22 | Document URI: | http://hdl.handle.net/1942/43592 | ISSN: | 0168-9274 | e-ISSN: | 1873-5460 | DOI: | https://doi.org/10.1016/j.apnum.2024.07.011 | ISI #: | 001290355200001 | Rights: | 2024IMACS.PublishedbyElsevierB.V.All rightsarereserved, includingthosefortextanddatamining,AI training,andsimilar technologies. | Category: | A1 | Type: | Journal Contribution |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
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paper.pdf Until 2025-02-28 | Peer-reviewed author version | 1.52 MB | Adobe PDF | View/Open Request a copy |
1-s2.0-S0168927424001910-main.pdf Restricted Access | Early view | 1.93 MB | Adobe PDF | View/Open Request a copy |
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