A variable step-size implementation of the hybrid Nyström method for integrating Hamiltonian and stiff differential systems

Simple item page
dc.cclicenceCC-BY-NC-NDen
dc.contributor.authorAnastassi, Zacharias
dc.contributor.authorRufai, Mufutau Ajani
dc.contributor.authorTran, Thanh
dc.date.acceptance2023-03-07
dc.date.accessioned2023-05-05T13:00:41Z
dc.date.available2023-05-05T13:00:41Z
dc.date.issued2023-04-18
dc.descriptionThe file attached to this record is the author's final peer reviewed version. The Publisher's final version can be found by following the DOI link.en
dc.description.abstractThe approximate solution to second-order Hamiltonian and stiff differential systems is obtained using an efficient hybrid Nyström method (HNM) in this manuscript. The development of the method considers three hybrid points that are selected by optimizing the local truncation errors of the main formulas. The properties of the proposed HNM are studied. An embedding-like procedure is explored and run in variable step-size mode to improve the accuracy of the HNM. The numerical integration of some second-order Hamiltonian and stiff model problems, such as the well-known Vander Pol, Fermi-Pasta-Ulam, and Duffing problems, demonstrate the improved impact of our devised error estimation and control strategy. Finally, it is essential to note that the proposed technique is efficient in terms of computational cost and maximum global errors.en
dc.funderNo external funderen
dc.identifier.citationRufai, M.A., Tran, T. and Anastassi, Z.A. (2023) A variable step-size implementation of the hybrid Nyström method for integrating Hamiltonian and stiff differential systems. Computational and Applied Mathematics, 42, 156en
dc.identifier.doihttps://doi.org/10.1007/s40314-023-02273-2
dc.identifier.urihttps://hdl.handle.net/2086/22849
dc.language.isoenen
dc.peerreviewedYesen
dc.publisherSpringeren
dc.researchinstituteInstitute of Artificial Intelligence (IAI)en
dc.subjectHybrid Nyström methoden
dc.subjectHamiltonian and stiff differential systemsen
dc.subjectVariable stepsize formulationen
dc.subjectError estimation and controlen
dc.subjectCollocation methoden
dc.titleA variable step-size implementation of the hybrid Nyström method for integrating Hamiltonian and stiff differential systemsen
dc.typeArticleen

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Manuscript(28-07-22).pdf
Size:
2.15 MB
Format:
Adobe Portable Document Format
Description:
Journal article - Author's manuscript
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
4.2 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

School of Computer Science and Informatics