Relevant bibliographies by topics / Second order ODEs

Academic literature on the topic 'Second order ODEs'

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Published: 10 March 2023

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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 (May 2018): 591–94. http://dx.doi.org/10.1016/j.jmaa.2018.01.026.

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Ola Fatunla, Simeon. "Block methods for second order odes." International Journal of Computer Mathematics 41, no. 1-2 (January 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 (October 20, 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 (May 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 (May 12, 2003): 2325–35. http://dx.doi.org/10.1088/0264-9381/20/11/324.

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Yumaguzhin, Valeriy A. "Differential Invariants of Second Order ODEs, I." Acta Applicandae Mathematicae 109, no. 1 (January 30, 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 (July 29, 2014): 87–111. http://dx.doi.org/10.1007/s13324-014-0086-9.

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Milson, Robert, and Francis Valiquette. "Point equivalence of second-order ODEs: Maximal invariant classification order." Journal of Symbolic Computation 67 (March 2015): 16–41. http://dx.doi.org/10.1016/j.jsc.2014.08.003.

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Reyes, M. A., and H. C. Rosu. "Riccati-parameter solutions of nonlinear second-order ODEs." Journal of Physics A: Mathematical and Theoretical 41, no. 28 (June 19, 2008): 285206. http://dx.doi.org/10.1088/1751-8113/41/28/285206.

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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
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 interest in this area is still vivid, because such equations generally exhibit typical problems (e.g. stiffness, metastability, periodicity, high oscillations), which must efficiently be overcome by using suitable numerical integrators. The purpose of this research is twofold: on the one hand to construct a general family of numerical methods for special second order ODEs of the type y00 = f(y(t)), in order to provide an unifying approach for the analysis of the properties of consistency, zero-stability and convergence; on the other hand to derive special purpose methods, that follow the oscillatory or periodic behaviour of the solution of the problem...[edited by author]
X n. s.
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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 vergleichende Quantifizierung der Effektstärken mit Survey-Daten wurde allerdings bislang nicht vorgenommen. Die vorliegende Studie wertet deshalb im Rahmen eines replikativen Surveys 17 Landtagswahlstudien aus. So können die Effektstärken der individuellen Bewertung der Bundes- versus der Landesparteien auf die Landtagswahlentscheidungen direkt verglichen werden. Als Fazit zeigt sich, dass in Westdeutschland die Beurteilung der Landesparteien einen stärkeren Einfluss auf die individuelle Landtagswahlentscheidung ausübt als die Beurteilung der Bundesparteien. In Ostdeutschland prägt dagegen bei Landtagswahlen die bundespolitische Dimension das Abstimmungsverhalten der Wähler stärker. Die Parteipolitikverflechtung zwischen Landes- und Bundesebene ist somit bei Landtagswahlen in Ostdeutschland erheblich stärker ausgeprägt als in den alten Bundesländern
Electoral studies often interpret German regional election results ("Landtagswahlen") as barometers of public opinion on federal governmental parties' performance. However, while interpreting German regional elections as "test-elections" for the national parliament, it is often underemphasised that subnational elections often follow a unique regional dynamics. So far, empirical investigations on the determinants of German regional elections consist either in qualitative case studies or aggregate analyses of official statistics. A quantitative study of individual-level survey data, comparing directly the explanatory power of the federal versus the subnational level, is still lacking. Conducting a repeated survey design, we analyse data from 17 German regional election surveys. Thus, the effects of individual assessments of federal parties versus their subnational counterparts on subnational voting preferences can be directly compared. The conclusion of our analyses can be summarized as follows: In Western Germany, the valuation of subnational parties has a stronger impact on individual voting preferences in subnational elections than the valuation of the federal parties has. However, in Eastern Germany, the federal dimension has a comparatively stronger effect. Hence, the federal – regional ("Länder") party system linkage is clearly stronger in Eastern than in Western Germany
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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 vergleichende Quantifizierung der Effektstärken mit Survey-Daten wurde allerdings bislang nicht vorgenommen. Die vorliegende Studie wertet deshalb im Rahmen eines replikativen Surveys 17 Landtagswahlstudien aus. So können die Effektstärken der individuellen Bewertung der Bundes- versus der Landesparteien auf die Landtagswahlentscheidungen direkt verglichen werden. Als Fazit zeigt sich, dass in Westdeutschland die Beurteilung der Landesparteien einen stärkeren Einfluss auf die individuelle Landtagswahlentscheidung ausübt als die Beurteilung der Bundesparteien. In Ostdeutschland prägt dagegen bei Landtagswahlen die bundespolitische Dimension das Abstimmungsverhalten der Wähler stärker. Die Parteipolitikverflechtung zwischen Landes- und Bundesebene ist somit bei Landtagswahlen in Ostdeutschland erheblich stärker ausgeprägt als in den alten Bundesländern.:Einleitung; Theoretische Grundlagen der bundespolitischen Parteipolitikverflechtung bei Landtagswahlen; Empirischer Test der Parteipolitikverflechtung bei Landtagswahlen; Diskussion und Ausblick
Electoral studies often interpret German regional election results ("Landtagswahlen") as barometers of public opinion on federal governmental parties'' performance. However, while interpreting German regional elections as "test-elections" for the national parliament, it is often underemphasised that subnational elections often follow a unique regional dynamics. So far, empirical investigations on the determinants of German regional elections consist either in qualitative case studies or aggregate analyses of official statistics. A quantitative study of individual-level survey data, comparing directly the explanatory power of the federal versus the subnational level, is still lacking. Conducting a repeated survey design, we analyse data from 17 German regional election surveys. Thus, the effects of individual assessments of federal parties versus their subnational counterparts on subnational voting preferences can be directly compared. The conclusion of our analyses can be summarized as follows: In Western Germany, the valuation of subnational parties has a stronger impact on individual voting preferences in subnational elections than the valuation of the federal parties has. However, in Eastern Germany, the federal dimension has a comparatively stronger effect. Hence, the federal – regional ("Länder") party system linkage is clearly stronger in Eastern than in Western Germany.:Einleitung; Theoretische Grundlagen der bundespolitischen Parteipolitikverflechtung bei Landtagswahlen; Empirischer Test der Parteipolitikverflechtung bei Landtagswahlen; Diskussion und Ausblick
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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 factor was the sliding towards Naqshbandi tenets of local shrine shaykhs such as the wealthy Sufi descendants of Ahmad-i Jam. Political support became instrumental in the 1450s when the newly established group around Khwaja Ahrar in Samarqand exercised a notable influence. Since the impact of the Naqshbandiyya on Afghan Islam can hardly be overestimated, this chapter shows its early history before the later chapter by Waleed Ziad turns to its second phase when it won the support of the Afghan Durrani Empire in the eighteenth century.
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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 necessary to note the political meaning of the term ‘democracy’ in the mid-second century BCE, in order to understand how Polybius can condemn the Athenian politeia while praising the qualities of δημοκρατία‎.
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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 a second-order constraint on law? If so, is its operation at odds with the rule of law? Do the various theories of Equity require some kind of separation of law and equity—and, if they do, what kind of separation? The volume further sheds light on some of the most topical questions of jurisprudence that are embedded in the debate around ‘fusion’.
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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, 51–165. Cham: 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, 149–70. Singapore: Springer Singapore, 2016. http://dx.doi.org/10.1007/978-981-287-877-9_7.

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Eshkabilov, Sulaymon L. "Numerical Methods for Second-Order ODEs." In Practical MATLAB Modeling with Simulink, 113–75. Berkeley, CA: 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, 227–320. Boca Raton : CRC Press, [2017]: 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®, 201–30. Boston, MA: Birkhäuser Boston, 2001. http://dx.doi.org/10.1007/978-1-4612-0151-9_9.

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Cheb-Terrab, E. "Second order linear ODEs: Two non-Liouvillian approaches." In Group Theory and Numerical Analysis, 91–101. Providence, Rhode Island: 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, 83–119. Basel: 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, 199–221. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-00873-3_10.

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Gavrilyuk, Ivan P., Martin Hermann, Volodymyr L. Makarov, and Myroslav V. Kutniv. "Three-point difference schemes for systems of monotone second-order ODEs." In International Series of Numerical Mathematics, 121–56. Basel: Springer Basel, 2011. http://dx.doi.org/10.1007/978-3-0348-0107-2_4.

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Wu, Xinyuan, and Bin Wang. "Oscillation-Preserving Integrators for Highly Oscillatory Systems of Second-Order ODEs." In Geometric Integrators for Differential Equations with Highly Oscillatory Solutions, 1–45. Singapore: Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-0147-7_1.

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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. New York, New York, USA: ACM Press, 2004. http://dx.doi.org/10.1145/1005285.1005299.

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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 derived produces more efficient results when compared with the work carried out by some authors to solve stiff second order ordinary differential equations. Keywords: Power Series, Collocation and Interpolation, Block Method, Initial Value Problems, and Stiff ODEs
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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. Szeged: Bolyai Institute, SZTE, 2007. http://dx.doi.org/10.14232/ejqtde.2007.7.14.

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Mohd Yatim, Siti Ainor, Zarina Bibi Ibrahim, Khairil Iskandar Othman, and Mohamed Suleiman. "On the derivation of second order variable step variable order block backward differentiation formulae for solving stiff ODEs." In INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND STATISTICS 2013 (ICMSS2013): Proceedings of the International Conference on Mathematical Sciences and Statistics 2013. AIP, 2013. http://dx.doi.org/10.1063/1.4823931.

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