Relevant bibliographies by topics / Second order ODEs

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Second order ODEs'

Author: Grafiati
Published: 10 March 2023
Last updated: 31 July 2025

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Journal articles on the topic "Second order ODEs"

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Kruglikov, Boris. "Symmetries of second order ODEs." Journal of Mathematical Analysis and Applications 461, no. 1 (2018): 591–94. http://dx.doi.org/10.1016/j.jmaa.2018.01.026.

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B S, Manjula. "Study of Methods for Solving Second-Order ODEs with Constant Coefficient." International Journal of Science and Research (IJSR) 10, no. 7 (2021): 1550–55. http://dx.doi.org/10.21275/es24928084917.

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Ola Fatunla, Simeon. "Block methods for second order odes." International Journal of Computer Mathematics 41, no. 1-2 (1991): 55–63. http://dx.doi.org/10.1080/00207169108804026.

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McGrath, Peter. "Bases for Second Order Linear ODEs." American Mathematical Monthly 127, no. 9 (2020): 849. http://dx.doi.org/10.1080/00029890.2020.1803626.

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Cerda, Patricio, and Pedro Ubilla. "Nonlinear Systems of Second-Order ODEs." Boundary Value Problems 2008 (2008): 1–9. http://dx.doi.org/10.1155/2008/236386.

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Cheb-Terrab, E. S., and A. D. Roche. "Integrating Factors for Second-order ODEs." Journal of Symbolic Computation 27, no. 5 (1999): 501–19. http://dx.doi.org/10.1006/jsco.1999.0264.

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Newman, Ezra T., and Pawel Nurowski. "Projective connections associated with second-order ODEs." Classical and Quantum Gravity 20, no. 11 (2003): 2325–35. http://dx.doi.org/10.1088/0264-9381/20/11/324.

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Pan-Collantes, Antonio J., and José Antonio Álvarez-García. "Autonomous Second-Order ODEs: A Geometric Approach." Axioms 13, no. 11 (2024): 788. http://dx.doi.org/10.3390/axioms13110788.

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Given an autonomous second-order ordinary differential equation (ODE), we define a Riemannian metric on an open subset of the first-order jet bundle. A relationship is established between the solutions of the ODE and the geodesic curves with respect to the defined metric. We introduce the notion of energy foliation for autonomous ODEs and highlight its connection to the classical energy concept. Additionally, we explore the geometry of the leaves of the foliation. Finally, the results are applied to the analysis of Lagrangian mechanical systems. In particular, we provide an autonomous Lagrangi
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Yumaguzhin, Valeriy A. "Differential Invariants of Second Order ODEs, I." Acta Applicandae Mathematicae 109, no. 1 (2009): 283–313. http://dx.doi.org/10.1007/s10440-009-9454-0.

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Wone, Oumar. "Second order ODEs under area-preserving maps." Analysis and Mathematical Physics 5, no. 1 (2014): 87–111. http://dx.doi.org/10.1007/s13324-014-0086-9.

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Dissertations / Theses on the topic "Second order ODEs"

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Esposito, Elena. "Numerical treatment of special second order ordinary differential equations: general and exponentially fitted methods." Doctoral thesis, Universita degli studi di Salerno, 2012. http://hdl.handle.net/10556/292.

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2010 - 2011<br>The aim of this research is the construction and the analysis of new families of numerical methods for the integration of special second order Ordinary Differential Equations (ODEs). The modeling of continuous time dynamical systems using second order ODEs is widely used in many elds of applications, as celestial mechanics, seismology, molecular dynamics, or in the semidiscretisation of partial differential equations (which leads to high dimensional systems and stiffness). Although the numerical treatment of this problem has been widely discussed in the literature, the in
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Krumpal, Ivar, and Heiko Rauhut. "Dominieren Bundes- oder Landesparteien die individuellen Landtagswahlentscheidungen in der BRD?" Universitätsbibliothek Leipzig, 2016. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-208326.

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Landtagswahlergebnisse in der BRD werden von empirischen Wahlforschern häufig als aktuelle Stimmungsbarometer für die Bundespolitik interpretiert. Bei dieser Interpretation von Landtagswahlen als \"Bundestestwahlen\" wird jedoch häufig vernachlässigt, dass Landtagswahlen überwiegend auch Regionalwahlen sind und landestypischen Dynamiken folgen. Empirische Untersuchungen zu Bestimmungsfaktoren von Landtagswahlverhalten wurden in Deutschland bis dato entweder in Form von qualitativen Einzelfallanalysen oder als Aggregatdatenanalysen der amtlichen Wahlstatistiken durchgeführt. Eine direkte und ve
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Krumpal, Ivar, and Heiko Rauhut. "Dominieren Bundes- oder Landesparteien die individuellen Landtagswahlentscheidungen in der BRD?: eine quantitative Analyse zum Ausmaß der bundespolitischen Parteipolitikverflechtung bei Landtagswahlen (1996-2000)." 2006. https://ul.qucosa.de/id/qucosa%3A14907.

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Landtagswahlergebnisse in der BRD werden von empirischen Wahlforschern häufig als aktuelle Stimmungsbarometer für die Bundespolitik interpretiert. Bei dieser Interpretation von Landtagswahlen als \"Bundestestwahlen\" wird jedoch häufig vernachlässigt, dass Landtagswahlen überwiegend auch Regionalwahlen sind und landestypischen Dynamiken folgen. Empirische Untersuchungen zu Bestimmungsfaktoren von Landtagswahlverhalten wurden in Deutschland bis dato entweder in Form von qualitativen Einzelfallanalysen oder als Aggregatdatenanalysen der amtlichen Wahlstatistiken durchgeführt. Eine direkte und ve
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Books on the topic "Second order ODEs"

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Paul, Jürgen. The Rise of the Khwajagan-Naqshbandiyya Sufi Order in Timurid Herat. University of California Press, 2017. http://dx.doi.org/10.1525/california/9780520294134.003.0004.

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This chapter addresses the question why and how the Khwajagan-Naqshbandi order became the paramount Sufi group in Timurid Herat, so paving the way for the central Naqshbandi role in Afghan society down to the twentieth century. At the beginning of the fifteenth century they came to Herat as outsiders from the Bukhara region with the odds against them. The major factors in their rise to prominence seem to have been their Shari’a-mindedness, their flexibility in ritual practice and mystical training, and their intellectual appeal, particularly for the Timurid ruling elite. Another important fact
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Champion, Craige B. Polybius on ‘Classical Athenian Imperial Democracy’. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198748472.003.0007.

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This chapter makes two contributions to our understanding of Polybius’ representation of the Athenian democracy. First, it shows that Polybius’ negative general portrayal of Athens in his political analysis in Book 6 is frequently at odds with his apparent admiration of the Athenians as reflected in his accounts of Athenian diplomacy in the historical narrative. Second, and more importantly, the paper contextualizes the characterization of the Athenian politeia in Book 6 within Polybius’ generally negative depictions of radical democratic states (ochlocracy, in Polybius’ terms). Here it is nec
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Klimchuk, Dennis, Irit Samet, and Henry E. Smith, eds. Philosophical Foundations of the Law of Equity. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198817659.001.0001.

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A late-comer to the field of private law theory, the inquiry into the foundations of the law of Equity raises some fundamental questions about the relationships between law and morality, the nature of rights, the extent to which we are willing to compromise on the Rule of Law ideal in order to achieve various social goals. In this volume, leading scholars in the field address these and the questions about underlying principles of Equity and its relationship to the common law: What relationships, if any, are there between the legal, philosophical, and moral senses of ‘equity’? Does Equity form
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Kulp, Christopher B. Knowing Moral Truth. The Rowman & Littlefield Publishing Group, 2017. https://doi.org/10.5040/9781666998931.

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This is a book on metaethics and moral epistemology. It asks two fundamental questions: (i) Is there any such thing as (non-relative) moral truth?; and (ii) If there is such truth, how do we come into epistemic contact with it? Roughly the first half of the book is aimed at answering the first question. Its animating idea is that we should take our ordinary, tutored moral judgments seriously—judgments typified by our conviction that it is clearly true that some acts, policies, social norms et al. are morally right or wrong, permissible or impermissible, praiseworthy or condemnable, etc., no ma
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Awe, Susan C. The Entrepreneur's Information Sourcebook. 2nd ed. ABC-CLIO, LLC, 2012. http://dx.doi.org/10.5040/9798400646652.

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For 21st-century entrepreneurs, this book provides the practical guidance they need to overcome the often intimidating challenges of starting, organizing, and running a new business effectively and efficiently. The economic downturn has many individuals considering going into business for themselves, rather than relying on an employer for their income. Unfortunately, according to data from the Small Business Administration, the odds of long-term success are against them: 69 percent of businesses do not last past seven years and 56 percent fail in less than four. This book provides entrepreneur
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Sörensen, Jens Stilhoff. Splitting Europe. The Rowman & Littlefield Publishing Group, 2022. https://doi.org/10.5040/9798881814366.

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Europe today is deeply divided. Thirty years after the end of the Cold War and the celebratory moment when the wall came down, we are faced with a new Cold War. Russia-Western relations are arguably more dangerous than ever since the Cuban missile crisis. Diplomatic relations are frozen, sanctions installed, the old arms control treaties abandoned, and new nuclear weapons and carriers developed. EU Europe itself is divided. It is not just Brexit, marking the first real break-away from the Union, but also clashes within. From the yellow vests clashes with police in the heart of Paris, to so-cal
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Book chapters on the topic "Second order ODEs"

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Awrejcewicz, Jan. "Second-Order ODEs." In Ordinary Differential Equations and Mechanical Systems. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-07659-1_3.

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Peterson, James K. "Linear Second Order ODEs." In Calculus for Cognitive Scientists. Springer Singapore, 2016. http://dx.doi.org/10.1007/978-981-287-877-9_7.

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Alvey, Christina, and Daniel Alvey. "Modeling with Second-Order ODEs." In Mathematical Biology. Chapman and Hall/CRC, 2024. http://dx.doi.org/10.1201/9781003298663-4.

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Eshkabilov, Sulaymon L. "Numerical Methods for Second-Order ODEs." In Practical MATLAB Modeling with Simulink. Apress, 2020. http://dx.doi.org/10.1007/978-1-4842-5799-9_3.

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Chau, K. T. "Series Solutions of Second Order ODEs." In Theory of Differential Equations in Engineering and Mechanics. CRC Press, 2017. http://dx.doi.org/10.1201/9781315164939-4.

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Marasco, Addolorata, and Antonio Romano. "Boundary-Value Problems for Second-Order ODEs." In Scientific Computing with Mathematica®. Birkhäuser Boston, 2001. http://dx.doi.org/10.1007/978-1-4612-0151-9_9.

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Henner, Victor, Alexander Nepomnyashchy, Tatyana Belozerova, and Mikhail Khenner. "Boundary-Value Problems for Second-Order ODEs." In Ordinary Differential Equations. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-25130-6_9.

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Cheb-Terrab, E. "Second order linear ODEs: Two non-Liouvillian approaches." In Group Theory and Numerical Analysis. American Mathematical Society, 2005. http://dx.doi.org/10.1090/crmp/039/07.

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Gavrilyuk, Ivan P., Martin Hermann, Volodymyr L. Makarov, and Myroslav V. Kutniv. "Three-point difference schemes for monotone second-order ODEs." In International Series of Numerical Mathematics. Springer Basel, 2011. http://dx.doi.org/10.1007/978-3-0348-0107-2_3.

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Kruglikov, Boris. "Point Classification of Second Order ODEs: Tresse Classification Revisited and Beyond." In Differential Equations - Geometry, Symmetries and Integrability. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-00873-3_10.

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Conference papers on the topic "Second order ODEs"

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Ismail, Ainathon, and Faranak Rabiei. "Multivalue-multistage method for second-order ODEs." In PROCEEDINGS OF THE 24TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES: Mathematical Sciences Exploration for the Universal Preservation. Author(s), 2017. http://dx.doi.org/10.1063/1.4995927.

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Latypov, Viktor, and Sergei Sokolov. "Taylor Series Method for second-order polynomial ODEs." In 2015 International Conference "Stability and Control Processes" in Memory of V.I. Zubov (SCP). IEEE, 2015. http://dx.doi.org/10.1109/scp.2015.7342059.

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Chan, L., and E. S. Cheb-Terrab. "Non-liouvillian solutions for second order Linear ODEs." In the 2004 international symposium. ACM Press, 2004. http://dx.doi.org/10.1145/1005285.1005299.

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Wen, Song, Hao Wang, Di Liu, Qilong Zhangli, and Dimitris Metaxas. "Second-Order Graph ODEs for Multi-Agent Trajectory Forecasting." In 2024 IEEE/CVF Winter Conference on Applications of Computer Vision (WACV). IEEE, 2024. http://dx.doi.org/10.1109/wacv57701.2024.00501.

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Waeleh, Nazreen, and Zanariah Abdul Majid. "Variable step direct block multistep method for general second order ODEs." In 3RD INTERNATIONAL CONFERENCE ON FUNDAMENTAL AND APPLIED SCIENCES (ICFAS 2014): Innovative Research in Applied Sciences for a Sustainable Future. AIP Publishing LLC, 2014. http://dx.doi.org/10.1063/1.4898463.

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Khataybeh, S. N., and I. Hashim. "Direct solution of second-order system of ODEs using Bernstein polynomials." In PROCEEDING OF THE 25TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM25): Mathematical Sciences as the Core of Intellectual Excellence. Author(s), 2018. http://dx.doi.org/10.1063/1.5041621.

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Slavyanov, S. Yu. "The equation for a product of solutions of two second-order linear ODEs." In International Seminar Day on Diffraction Millennium Workshop. Proceedings. IEEE, 2000. http://dx.doi.org/10.1109/dd.2000.902370.

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Olanegan, O. O., B. G. Ogunware, and O. J. Fajulugbe. "Efficient Seventh-Order Hybrid Block Process for Solving Stiff Second Order Ordinary Differential Equationsl." In 27th iSTEAMS-ACity-IEEE International Conference. Society for Multidisciplinary and Advanced Research Techniques - Creative Research Publishers, 2021. http://dx.doi.org/10.22624/aims/isteams-2021/v27p37.

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In this research, we proposed a derivation and application of an accurate hybrid block method for the direct integration of second order ordinary differential equations with initial value problems. The method developed by way of collocating and interpolating the power series approximation to give a continuous linear multistep method. The evaluation of the continuous method at the grid and off grid points produced the discrete block method. The basic properties such as order, error constant, zero stability, consistency and convergence of the method were properly examined. The block method deriv
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Zainuddin, Nooraini, Zarina Bibi Ibrahim, and Noraini Jamaludin. "On the convergence of two point block backward differentiation formula for second order ODEs." In 4TH INTERNATIONAL CONFERENCE ON FUNDAMENTAL AND APPLIED SCIENCES (ICFAS2016). Author(s), 2016. http://dx.doi.org/10.1063/1.4968155.

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Pascoletti, Anna, Marina Pireddu, and Fabio Zanolin. "Multiple periodic solutions and complex dynamics for second order ODEs via linked twist maps." In The 8'th Colloquium on the Qualitative Theory of Differential Equations. Bolyai Institute, SZTE, 2007. http://dx.doi.org/10.14232/ejqtde.2007.7.14.

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