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dc.contributor.authorLuan, Vu Thai
dc.contributor.authorMichels, Dominik L.
dc.date.accessioned2021-02-15T06:44:06Z
dc.date.available2021-02-15T06:44:06Z
dc.date.issued2021-01-27
dc.date.submitted2020-09-12
dc.identifier.citationLuan, V. T., & Michels, D. L. (2021). Efficient exponential time integration for simulating nonlinear coupled oscillators. Journal of Computational and Applied Mathematics, 113429. doi:10.1016/j.cam.2021.113429
dc.identifier.issn0377-0427
dc.identifier.doi10.1016/j.cam.2021.113429
dc.identifier.urihttp://hdl.handle.net/10754/667422
dc.description.abstractIn this paper, we propose an advanced time integration technique associated with explicit exponential Rosenbrock-based methods for the simulation of large stiff systems of nonlinear coupled oscillators. In particular, a novel reformulation of these systems is introduced and a general family of efficient exponential Rosenbrock schemes for simulating the reformulated system is derived. Moreover, we show the required regularity conditions and prove the convergence of these schemes for the system of coupled oscillators. We present an efficient implementation of this new approach and discuss several applications in scientific and visual computing. The accuracy and efficiency of our approach are demonstrated through a broad spectrum of numerical examples, including a nonlinear Fermi–Pasta–Ulam–Tsingou model, elastic and nonelastic deformations as well as collision scenarios focusing on relevant aspects such as stability and energy conservation, large numerical stiffness, high fidelity, and visual accuracy.
dc.description.sponsorshipThe authors would like to thank the anonymous referees for their valuable comments and useful suggestions. The first author gratefully acknowledges the financial support of the National Science Foundation, USA under grant NSF DMS–2012022. The second author acknowledges the financial support of KAUST, Saudi Arabia baseline funding. We also thank Mississippi State University’s Center for Computational Science (CCS) for providing computing resources at the High Performance Computing Collaboratory (HPCC). Moreover, the use of the resources of KAUST’s Supercomputing Laboratory is gratefully acknowledged.
dc.publisherElsevier BV
dc.relation.urlhttps://linkinghub.elsevier.com/retrieve/pii/S0377042721000480
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Journal of Computational and Applied Mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Computational and Applied Mathematics, [, , (2021-01-27)] DOI: 10.1016/j.cam.2021.113429 . © 2021. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectSystems of coupled oscillators
dc.subjectExponential Rosenbrock integrators
dc.subjectAccurate and efficient simulation
dc.subjectVisual computing
dc.titleEfficient exponential time integration for simulating nonlinear coupled oscillators
dc.typeArticle
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentComputer Science Program
dc.contributor.departmentVisual Computing Center (VCC)
dc.identifier.journalJournal of Computational and Applied Mathematics
dc.rights.embargodate2022-01-27
dc.eprint.versionPost-print
dc.contributor.institutionDepartment of Mathematics and Statistics, Mississippi State University, 410 Allen Hall, 175 President’s Circle, Mississippi State, MS, 39762, USA
dc.identifier.pages113429
kaust.personMichels, Dominik L.
refterms.dateFOA2021-02-17T08:51:03Z
kaust.acknowledged.supportUnitSupercomputing Laboratory
dc.date.published-online2021-01-27
dc.date.published-print2021-08


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