https://m2.mtmt.hu/ eng 2026-10-25 08:59 JournalArticle 36178057 VALIDATED true Utánközlése: 36227399. 0 false 2026-08-01T09:46:38.832+0000 2026-04-01T12:48:41.961+0000 2025-06-04T16:33:27.365+0000 true 10049401 Fülöp Tamás /api/admin/10049401 Admin Tamás Fülöp (BME GPK admin5) true 10049401 2026-07-08T06:32:28.819+0000 2026-07-08T06:32:28.819+0000 2025-07-21T18:18:40.842+0000 true 10049401 Fülöp Tamás /api/admin/10049401 Admin Tamás Fülöp (BME GPK admin5) true 10049401 true false true 24 24 /api/publicationtype/24 PublicationType Journal Article 1 true 24 JournalArticle true 1268360 Conference paper in journal true 24 24 /api/publicationtype/24 PublicationType Journal Article 1 true 24 JournalArticle /api/subtype/1268360 Konferenciaközlemény SubType Conference paper in journal (Journal Article) 109 true 1268360 true 1 /api/category/1 Category Scientific true 1 Takács, Donát M. true false /api/journal/2152929 REVIEWED ADVANCES IN SCIENCE AND TECHNOLOGY 1662-8969 1662-0356 true false 2152929 true 2152929 false 1662-8969 1662-0356 Journal FOREIGN 165 21 30 21 10 2025 true 331510 /api/conference/331510 true 10490 true 10001 /api/country/10001 Country Hungary true 1 /api/city/10490 City Debrecen, Hungary true 1022999 Conference 10th International Scientific Conference on Advances in Mechanical Engineering, ISCAME 2024 2024-11-07 [Debrecen, Hungary] true We briefly review backward error analysis as a useful mathematical technique for improving numerical methods used for solving ordinary differential equations describing dynamical systems. Then, we show how backward error analysis-based compensation, an approach recently introduced by the authors, can be applied to the second-order Newmark method for eliminating numerical damping and achieving fourth-order convergence. The presented improvements only require modifying the physical parameters of the system and the excitation, while the Newmark method is left intact. We compare the performance of the resulting improvements with that of several other numerical methods, including a novel partitioned method based on local extrapolation. true 2025 true true true true true false NONE 2026-08-01 false 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 false false false false 2025-06-29T12:49:04.131+0000 Energetikai Gépek és Rendszerek Tanszék (BME / GPK) 2 18 1 2 0 false Language 10002 /api/language/10002 English Angol English true 2 true PersonAuthorship 126817666 /api/authorship/126817666 Takács, Donát M. ✉ [Takács, Donát M. (termomechanika), author] Department of Energy Engineering (BUTE / FME) 1 0.5 true false true Author 10079148 /api/author/10079148 Donát M. Takács (termomechanika) Takács Donát M. true true Takács Donát M. true false false AuthorshipType 1 /api/authorshiptype/1 Author 0 true 0 true false true PersonAuthorship 126817667 /api/authorship/126817667 Fülöp, Tamás [Fülöp, Tamás (fizika, műszaki alk.), author] Department of Energy Engineering (BUTE / FME) 2 0.5 false true false Author 10026717 /api/author/10026717 Tamás Fülöp (fizika, műszaki alk.) Fülöp Tamás true 10026717 true Fülöp Tamás true false false AuthorshipType 1 /api/authorshiptype/1 Author 0 true 0 true false true PublicationIdentifier 29455887 /api/publicationidentifier/29455887 DOI: 10.4028/p-11TtO6 PlainSource 6 /api/publicationsource/6 DOI PublicationSourceType 10001 /api/publicationsourcetype/10001 DOI true true true DOI DOI https://doi.org/@@@ true true 6 true IDENTICAL 10.4028/p-11TtO6 https://doi.org/10.4028/p-11TtO6 false true PublicationIdentifier 29455888 /api/publicationidentifier/29455888 At publisher: https://www.scientific.net/AST.165.21 PlainSource 141 /api/publicationsource/141 At publisher PublicationSourceType 10006 /api/publicationsourcetype/10006 Link true true true Kiadónál At publisher @@@ true true 141 true IDENTICAL https://www.scientific.net/AST.165.21 https://www.scientific.net/AST.165.21 false true PublicationIdentifier 29541385 /api/publicationidentifier/29541385 Scopus: 105008428146 PlainSource 3 /api/publicationsource/3 Scopus PublicationSourceType 10003 /api/publicationsourcetype/10003 Indexelő adatbázis false true true Scopus Scopus http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-@@@ true true 3 true IDENTICAL 105008428146 http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-105008428146 false true PublicationIdentifier 29455901 /api/publicationidentifier/29455901 Other URL: https://phd.gpk.bme.hu/pub/s/a/l/t3?13366188 PlainSource 40 /api/publicationsource/40 Other URL PublicationSourceType 10006 /api/publicationsourcetype/10006 Link true true true Egyéb URL Other URL @@@ true true 40 true IDENTICAL https://phd.gpk.bme.hu/pub/s/a/l/t3?13366188 https://phd.gpk.bme.hu/pub/s/a/l/t3?13366188 false true Classification 10154 /api/classification/10154 Physical sciences true true Classification 10984 /api/classification/10984 Mechanical engineering true true Classification 10003 /api/classification/10003 Mathematics true true Reference 66190661 /api/reference/66190661 1. Ernst Hairer, Syvert Paul Nørsett, and Gerhard Wanner. Solving Ordinary Differential Equations I: Nonstiff Problems. Springer Series in Computational Mathematics. Springer Berlin Heidelberg, 2008. ISBN: 9783540566700., DOI: 10.1007/978-3-662-12607-3 1 10.1007/978-3-662-12607-3 false true Reference 66190662 /api/reference/66190662 2. Thomas J. R. Hughes. The Finite Element Method: Linear Static and Dynamic Finite Element Analysis. North Chelmsford: Courier Corporation, 2012. ISBN: 9781306348782. 2 false true Reference 66190663 /api/reference/66190663 3. Klaus-Jürgen Bathe. Finite Element Procedures. Watertown, MA: K.-J. Bathe, 2014. ISBN: 9780979004902. 3 false true Reference 66190664 /api/reference/66190664 4. David F. Griffiths and Jesús María Sanz-Serna. Ön the Scope of the Method of Modified Equations". In: SIAM Journal on Scientific and Statistical Computing 7.3 (1986), pp.994-1008., DOI: 10.1137/0907067 4 10.1137/0907067 false true Reference 66190665 /api/reference/66190665 5. Sebastian Reich. "Backward error analysis for numerical integrators". In: SIAM Journal on Numerical Analysis 36.5 (1999), pp.1549-1570., DOI: 10.1137/s0036142997329797 5 10.1137/s0036142997329797 false true Reference 66190666 /api/reference/66190666 6. Ernst Hairer and Christian Lubich. Äsymptotic Expansions and Backward Analysis for Numerical Integrators". In: Dynamics of Algorithms. Springer New York, 2000, pp.91-106., DOI: 10.1007/978-1-4612-1274-4_5 6 10.1007/978-1-4612-1274-4_5 false true Reference 66190667 /api/reference/66190667 7. Per Christian Moan. Ön modified equations for discretizations of ODEs". In: Journal of Physics A: Mathematical and General 39.19 (2006), p.5545., DOI: 10.1088/0305-4470/39/19/S13 7 10.1088/0305-4470/39/19/S13 false true Reference 66190668 /api/reference/66190668 8. Ernst Hairer, Christian Lubich, and Gerhard Wanner. Geometric numerical integration. Structurepreserving algorithms for ordinary differential equations. Second. Vol. 31. Springer Series in Computational Mathematics. Berlin: Springer-Verlag, 2006, pp. xviii+644. ISBN: 3-540- 30663-3; 978-3-540-30663-4., DOI: 10.1007/3-540-30666-8_14 8 10.1007/3-540-30666-8_14 false true Reference 66190669 /api/reference/66190669 9. Nathan M Newmark. Ä Method of Computation for Structural Dynamics". In: Journal of the Engineering Mechanics Division 85.3 (1959), pp.67-94., DOI: 10.1061/JMCEA3.0000098 9 10.1061/JMCEA3.0000098 false true Reference 66190670 /api/reference/66190670 10. Jintai Chung and Gregory M. Hulbert. Ä Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized α Method". In: Journal of Applied Mechanics 60.2 (June 1993), pp.371-375. ISSN: 1528-9036., DOI: 10.1115/1.2900803 10 10.1115/1.2900803 false true Reference 66190671 /api/reference/66190671 11. Ansys Mechanical User Guide: 15.2.2.1. Time Integration Scheme for Linear Systems. ANSYS, Inc. 2023. 11 false true Reference 66190672 /api/reference/66190672 12. Abaqus Standard User Manual: Implicit dynamic analysis using direct integration. Dassault Systemes Simulia Corp. 2023. 12 false true Reference 66190673 /api/reference/66190673 13. Donát M. Takács and Tamás Fülöp. "Improving the accuracy of the Newmark method through backward error analysis". In: Computational Mechanics (2024). DOI: 10.1007/s00466-024- 02580-3., DOI: 10.1007/s00466-024-02580-3 13 10.1007/s00466-024-02580-3 false true Reference 66190674 /api/reference/66190674 14. Tamás Fülöp et al. "Thermodynamical Extension of a Symplectic Numerical Scheme with Half Space and Time Shifts Demonstrated on Rheological Waves in Solids". In: Entropy 22.2 (Jan. 2020), p.155., DOI: 10.3390/e22020155 14 10.3390/e22020155 false true Reference 66190675 /api/reference/66190675 15. Áron Pozsár et al. "Four Spacetime Dimensional Simulation of Rheological Waves in Solids and the Merits of Thermodynamics". In: Entropy 22.12 (2020), p.1376. DOI: 10 . 3390 / e22121376., DOI: 10.3390/e22121376 15 10.3390/e22121376 false true Reference 66190676 /api/reference/66190676 16. Donát M. Takács, Áron Pozsár, and Tamás Fülöp. "Thermodynamically extended symplectic numerical simulation of viscoelastic, thermal expansion and heat conduction phenomena in solids". In: Continuum Mechanics and Thermodynamics 36 (Feb. 2024), pp.525-538. ISSN: 1432-0959., DOI: 10.1007/s00161-024-01280-w 16 10.1007/s00161-024-01280-w false true Reference 66190677 /api/reference/66190677 17. Gregory M. Hulbert and Thomas J. R. Hughes. Än error analysis of truncated starting conditions in step-by-step time integration: Consequences for structural dynamics". In: Earthquake Engineering & Structural Dynamics 15.7 (Oct. 1987), pp.901-910. ISSN: 1096-9845., DOI: 10.1002/eqe.4290150710 17 10.1002/eqe.4290150710 false true /api/publication/36178057 Takács Donát M. et al. Improving Discrete Numerical Methods for Dynamics Using Continuous Mathematical Tools. (2025) ADVANCES IN SCIENCE AND TECHNOLOGY 1662-8969 1662-0356 165 21-30<div class="JournalArticle Publication long-list"> <div class="authors"> <img title="Forrásközlemény" style="float: left" src="/frontend/resources/grid/publication-core-icon.png"> <img title="Idézőközlemény" style="float: left" src="/frontend/resources/grid/publication-citation-icon.png"> <div class="autype autype0"> <span class="author-name" mtid="10079148"><a href="/gui2/?type=authors&mode=browse&sel=10079148" target="_blank">Takács Donát M. ✉ (<span class="authorship-author-name">Takács Donát M.</span> <span class="authorAux-mtmt"> termomechanika</span>) </a> </span> <span class="author-affil"><span title="Budapest University of Technology and Economics">BUTE</span>/<span title="Faculty of Mechanical Engineering">FME</span>/Department of Energy Engineering</span> ;&nbsp;&nbsp;&nbsp; <span class="author-name" mtid="10026717"><a href="/gui2/?type=authors&mode=browse&sel=10026717" target="_blank">Fülöp Tamás (<span class="authorship-author-name">Fülöp Tamás</span> <span class="authorAux-mtmt"> fizika, műszaki alk.</span>) </a> </span> <span class="author-affil"><span title="Budapest University of Technology and Economics">BUTE</span>/<span title="Faculty of Mechanical Engineering">FME</span>/Department of Energy Engineering</span> </div> </div> <div class="title"><a href="/gui2/?mode=browse&params=publication;36178057" target="_blank">Improving Discrete Numerical Methods for Dynamics Using Continuous Mathematical Tools</a></div> <div> <span class="journal-title">ADVANCES IN SCIENCE AND TECHNOLOGY</span> <span class="journal-issn">(<a target="_blank" href="https://portal.issn.org/resource/ISSN/1662-8969">1662-8969</a> <a target="_blank" href="https://portal.issn.org/resource/ISSN/1662-0356">1662-0356</a>)</span>: <span class="journal-volume">165</span> <span class="page"> pp 21-30 </span> <span class="year">(2025)</span> <div class="conference"> 10th International Scientific Conference on Advances in Mechanical Engineering, ISCAME 2024. Conference: <span class="location">Debrecen, Hungary <span class="conference-date">2024.11.07. - 2024.11.09.</span> (<span class="conference-organizer">DE Műszaki Kar, Gépészmérnöki Tanszék) </div> (DE Műszaki Kar, Gépészmérnöki Tanszék) </div> <div class="pub-footer"> <span class="language" xmlns="http://www.w3.org/1999/html">Language: English | </span> <span class="identifiers"> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="10.4028/p-11TtO6" target="_blank" href="https://doi.org/10.4028/p-11TtO6"> DOI </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="https://www.scientific.net/AST.165.21" target="_blank" href="https://www.scientific.net/AST.165.21"> At publisher </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="105008428146" target="_blank" href="http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-105008428146"> Scopus </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="https://phd.gpk.bme.hu/pub/s/a/l/t3?13366188" target="_blank" href="https://phd.gpk.bme.hu/pub/s/a/l/t3?13366188"> Other URL </a> </span> </span> <div class="publication-citation"> <a target="_blank" href="/api/publication?cond=citations.related;eq;36178057&sort=publishedYear,desc&sort=title"> Number of cited publications: 4 </a> </div> <div class="mtid"><span class="long-pub-mtid">Publication: 36178057</span> | <span class="status-data status-VALIDATED"> Validated </span> Core Citing | <span class="type-subtype">Journal Article ( Conference paper in journal ) </span> | <span class="pub-category">Scientific</span> | <span class="publication-sourceOfData">kézi felvitel</span> </div> <div class="notDuplums"><a target="_blank" href="/api/publication/36178057/notduplums">1 marked as not duplum</a> </div> <div class="lastModified">Last Modified: 2026.04.01. 14:48 Enikő Boczkó-Balla (BME admin4) </div> <pre class="comment" style="margin-top: 0; margin-bottom: 0;"><u>Comments</u>: Utánközlése: 36227399.</pre> </div></div>