Academic literature on the topic 'Calculus of variations'
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Journal articles on the topic "Calculus of variations"
De Lellis, Camillo, Gerhard Huisken, and Robert Jerrard. "Calculus of Variations." Oberwolfach Reports 9, no. 3 (2012): 2205–68. http://dx.doi.org/10.4171/owr/2012/36.
Full textBrendle, Simon, Camillo De Lellis, and Robert Jerrard. "Calculus of Variations." Oberwolfach Reports 11, no. 3 (2014): 1801–60. http://dx.doi.org/10.4171/owr/2014/33.
Full textBrendle, Simon, Alessio Figalli, Robert Jerrard, and Neshan Wickramasekera. "Calculus of Variations." Oberwolfach Reports 13, no. 3 (2016): 1943–2008. http://dx.doi.org/10.4171/owr/2016/34.
Full textFigalli, Alessio, Robert Kohn, Tatiana Toro, and Neshan Wickramasekera. "Calculus of Variations." Oberwolfach Reports 15, no. 3 (August 26, 2019): 2077–156. http://dx.doi.org/10.4171/owr/2018/35.
Full textFigalli, Alessio, Robert V. Kohn, Tatiana Toro, and Neshan Wickramasekera. "Calculus of Variations." Oberwolfach Reports 17, no. 2 (July 1, 2021): 1139–96. http://dx.doi.org/10.4171/owr/2020/22.
Full textBronsard, Lia, László Székelyhidi Jr., Yoshihiro Tonegawa, and Tatiana Toro. "Calculus of Variations." Oberwolfach Reports 19, no. 3 (June 13, 2023): 2129–93. http://dx.doi.org/10.4171/owr/2022/37.
Full textDods, Victor. "Riemannian Calculus of Variations Using Strongly Typed Tensor Calculus." Mathematics 10, no. 18 (September 6, 2022): 3231. http://dx.doi.org/10.3390/math10183231.
Full textChambers, Ll G., N. I. Akhiezer, Michael E. Alferieff, and B. Dacorogna. "The Calculus of Variations." Mathematical Gazette 74, no. 468 (June 1990): 191. http://dx.doi.org/10.2307/3619399.
Full textGondran, M., and R. Hoblos. "Complex Calculus of Variations." IFAC Proceedings Volumes 34, no. 13 (August 2001): 727–30. http://dx.doi.org/10.1016/s1474-6670(17)39079-1.
Full textNeves, V. "Nonstandard Calculus of Variations." Journal of Mathematical Sciences 120, no. 1 (March 2004): 940–54. http://dx.doi.org/10.1023/b:joth.0000013557.48018.2a.
Full textDissertations / Theses on the topic "Calculus of variations"
Tavares, Dina dos Santos. "Fractional calculus of variations." Doctoral thesis, Universidade de Aveiro, 2017. http://hdl.handle.net/10773/22184.
Full textO cálculo de ordem não inteira, mais conhecido por cálculo fracionário, consiste numa generalização do cálculo integral e diferencial de ordem inteira. Esta tese é dedicada ao estudo de operadores fracionários com ordem variável e problemas variacionais específicos, envolvendo também operadores de ordem variável. Apresentamos uma nova ferramenta numérica para resolver equações diferenciais envolvendo derivadas de Caputo de ordem fracionária variável. Consideram- -se três operadores fracionários do tipo Caputo, e para cada um deles é apresentada uma aproximação dependendo apenas de derivadas de ordem inteira. São ainda apresentadas estimativas para os erros de cada aproximação. Além disso, consideramos alguns problemas variacionais, sujeitos ou não a uma ou mais restrições, onde o funcional depende da derivada combinada de Caputo de ordem fracionária variável. Em particular, obtemos condições de otimalidade necessárias de Euler–Lagrange e sendo o ponto terminal do integral, bem como o seu correspondente valor, livres, foram ainda obtidas as condições de transversalidade para o problema fracionário.
The calculus of non–integer order, usual known as fractional calculus, consists in a generalization of integral and differential integer-order calculus. This thesis is devoted to the study of fractional operators with variable order and specific variational problems involving also variable order operators. We present a new numerical tool to solve differential equations involving Caputo derivatives of fractional variable order. Three Caputo-type fractional operators are considered, and for each one of them, an approximation formula is obtained in terms of standard (integer-order) derivatives only. Estimations for the error of the approximations are also provided. Furthermore, we consider variational problems subject or not to one or more constraints, where the functional depends on a combined Caputo derivative of variable fractional order. In particular, we establish necessary optimality conditions of Euler–Lagrange. As the terminal point in the cost integral, as well the terminal state, are free, thus transversality conditions are obtained.
Ferreira, Rui Alexandre Cardoso. "Calculus of variations on time scales and discrete fractional calculus." Doctoral thesis, Universidade de Aveiro, 2010. http://hdl.handle.net/10773/2921.
Full textEstudamos problemas do cálculo das variações e controlo óptimo no contexto das escalas temporais. Especificamente, obtemos condições necessárias de optimalidade do tipo de Euler–Lagrange tanto para lagrangianos dependendo de derivadas delta de ordem superior como para problemas isoperimétricos. Desenvolvemos também alguns métodos directos que permitem resolver determinadas classes de problemas variacionais através de desigualdades em escalas temporais. No último capítulo apresentamos operadores de diferença fraccionários e propomos um novo cálculo das variações fraccionário em tempo discreto. Obtemos as correspondentes condições necessárias de Euler– Lagrange e Legendre, ilustrando depois a teoria com alguns exemplos.
We study problems of the calculus of variations and optimal control within the framework of time scales. Specifically, we obtain Euler–Lagrange type equations for both Lagrangians depending on higher order delta derivatives and isoperimetric problems. We also develop some direct methods to solve certain classes of variational problems via dynamic inequalities. In the last chapter we introduce fractional difference operators and propose a new discrete-time fractional calculus of variations. Corresponding Euler–Lagrange and Legendre necessary optimality conditions are derived and some illustrative examples provided.
Zhang, Chengdian. "Calculus of variations with multiple integration." Bonn : [s.n.], 1989. http://catalog.hathitrust.org/api/volumes/oclc/20436929.html.
Full textCapet, SteÌphane. "Calculus of variations in quantum mechanics." Thesis, University of Warwick, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.444831.
Full textSantos, Simão Pedro Silva. "Calculus of variations of Herglotz type." Doctoral thesis, Universidade de Aveiro, 2017. http://hdl.handle.net/10773/22503.
Full textWe consider several problems based on Herglotz’s generalized variational problem. We dedicate two chapters to extensions on Herglotz’s generalized variational problem to higher-order and first-order problems with time delay, using a variational approach. In the last four chapters, we rewrite Herglotz's type problems in the optimal control form and use an optimal control approach. We prove generalized higher- order Euler-Lagrange equations, first without and then with time delay; higher-order natural boundary conditions; Noether's first theorem for the first-order problem of Herglotz with time delay; Noether's first theorem for higher-order problems of Herglotz without and with time delay; and existence of Noether currents as a version of Noether's second theorem of optimal control.
Consideramos vários problemas com base no problema variacional generalizado de Herglotz. Dois capítulos são dedicados à extensão do problema variacional generalizado de Herglotz para ordem superior e para problemas de primeira ordem com atraso no tempo, utilizando uma abordagem variacional. Nos últimos quatro capítulos, reescrevemos os problemas de Herglotz na forma do controlo ótimo e usamos essa abordagem. Demonstramos equações generalizadas de Euler-Lagrange de ordem superior, inicialmente sem e depois com atraso no tempo; condições de fronteira de ordem superior; o primeiro teorema de Noether para o problema de Herglotz de primeira ordem com atraso no tempo; o primeiro teorema de Noether para problemas de ordem superior de Herglotz sem e com atraso no tempo; e a existência de leis de conservação de Noether numa versão do segundo teorema de Noether do controlo ótimo.
Gratwick, Richard. "Singular minimizers in the calculus of variations." Thesis, University of Warwick, 2011. http://wrap.warwick.ac.uk/47653/.
Full textTaheri, Ali. "Local minimizers in the calculus of variations." Thesis, Heriot-Watt University, 1997. http://hdl.handle.net/10399/656.
Full textPerrotta, Stefania. "Some Problems in the Calculus of Variations." Doctoral thesis, SISSA, 1996. http://hdl.handle.net/20.500.11767/4452.
Full textBedford, Stephen James. "Calculus of variations and its application to liquid crystals." Thesis, University of Oxford, 2014. http://ora.ox.ac.uk/objects/uuid:a2004679-5644-485c-bd35-544448f53f6a.
Full textChan, Ka-bo, and 陳家寶. "On Griffiths' formalism of the calculus of variations." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2004. http://hub.hku.hk/bib/B30456630.
Full textBooks on the topic "Calculus of variations"
I, Akhiezer N. The calculus of variations. Chur [Switzerland]: Harwood Academic Publishers, 1988.
Find full textKielhöfer, Hansjörg. Calculus of Variations. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-71123-2.
Full textRindler, Filip. Calculus of Variations. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-77637-8.
Full textGiaquinta, Mariano. Calculus of variations. Berlin: Springer-Verlag, 1996.
Find full textJost, Jürgen. Calculus of variations. Cambridge, UK: Cambridge University Press, 1998.
Find full textStefan, Hildebrandt, ed. Calculus of variations. Berlin: Springer, 1996.
Find full textV, Fomin S., and Silverman Richard A, eds. Calculus of variations. Mineola, N.Y: Dover Publications, 2000.
Find full textGiaquinta, Mariano, and Stefan Hildebrandt. Calculus of Variations II. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-06201-2.
Full textvan Brunt, Bruce. The Calculus of Variations. New York, NY: Springer New York, 2004. http://dx.doi.org/10.1007/b97436.
Full textGiaquinta, Mariano, and Stefan Hildebrandt. Calculus of Variations I. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-03278-7.
Full textBook chapters on the topic "Calculus of variations"
Bronshtein, Ilja N., Konstantin A. Semendyayev, Gerhard Musiol, and Heiner Muehlig. "Calculus of Variations." In Handbook of Mathematics, 550–60. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-05382-9_10.
Full textBronshtein, I. N., K. A. Semendyayev, Gerhard Musiol, and Heiner Mühlig. "Calculus of Variations." In Handbook of Mathematics, 610–20. Berlin, Heidelberg: Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-662-46221-8_10.
Full textMarin, Marin, and Andreas Öchsner. "Calculus of Variations." In Complements of Higher Mathematics, 147–207. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-74684-5_5.
Full textCourant, Richard, and Fritz John. "Calculus of Variations." In Introduction to Calculus and Analysis, 737–68. New York, NY: Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4613-8958-3_7.
Full textHu, Shouchuan, and Nikolas S. Papageorgiou. "Calculus of Variations." In Handbook of Multivalued Analysis, 509–93. Boston, MA: Springer US, 2000. http://dx.doi.org/10.1007/978-1-4615-4665-8_5.
Full textde Saxcé, Géry, and Claude Vallée. "Calculus of Variations." In Galilean Mechanics and Thermodynamics of Continua, 105–16. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2016. http://dx.doi.org/10.1002/9781119057956.ch6.
Full textAgrawal, Sunil Kumar, and Brian C. Fabien. "Calculus of Variations." In Solid Mechanics and Its Applications, 41–59. Dordrecht: Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-015-9149-2_3.
Full textNožička, František. "Calculus of Variations." In Survey of Applicable Mathematics, 1090–124. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-015-8308-4_23.
Full textChau, K. T. "Calculus of Variations." In Theory of Differential Equations in Engineering and Mechanics, 773–816. Boca Raton : CRC Press, [2017]: CRC Press, 2017. http://dx.doi.org/10.1201/9781315164939-13.
Full textMeinsma, Gjerrit, and Arjan van der Schaft. "Calculus of Variations." In A Course on Optimal Control, 1–45. Cham: Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-36655-0_1.
Full textConference papers on the topic "Calculus of variations"
Bouchitté, Guy, Giuseppe Buttazzo, and Pierre Suquet. "Calculus of Variations, Homogenization and Continuum Mechanics." In Workshop on Calculus of Variations, Homogenization and Continuum Mechanics. WORLD SCIENTIFIC, 1994. http://dx.doi.org/10.1142/9789812833136.
Full textGuseinov, Gusein Sh. "Discrete Calculus of Variations." In GLOBAL ANALYSIS AND APPLIED MATHEMATICS: International Workshop on Global Analysis. AIP, 2004. http://dx.doi.org/10.1063/1.1814727.
Full textArroyo, Josu, Oscar J. Garay, Eduardo García-Río, and Ramón Vázquez-Lorenzo. "An experimental trip to the Calculus of Variations." In CURVATURE AND VARIATIONAL MODELING IN PHYSICS AND BIOPHYSICS. AIP, 2008. http://dx.doi.org/10.1063/1.2918092.
Full textCorless, Robert M. "Sufficiency analysis for the calculus of variations." In the international symposium. New York, New York, USA: ACM Press, 1994. http://dx.doi.org/10.1145/190347.190417.
Full textFu, Yating, Junhao Liu, Jing Xu, Danyan Gu, and Kun Yang. "Ultrasonic Images Denoising Based on Calculus of Variations." In 2019 IEEE 4th International Conference on Signal and Image Processing (ICSIP). IEEE, 2019. http://dx.doi.org/10.1109/siprocess.2019.8868621.
Full textBarbaresco, F. "Calculus of variations and regularized autoregressive spectral estimation." In The twentieth international workshop on bayesian inference and maximum entropy methods in science and engineering. AIP, 2001. http://dx.doi.org/10.1063/1.1381900.
Full textGirejko, Ewa, Agnieszka B. Malinowska, and Delfim F. M. Torres. "A unified approach to the calculus of variations on time scales." In 2010 Chinese Control and Decision Conference (CCDC). IEEE, 2010. http://dx.doi.org/10.1109/ccdc.2010.5498972.
Full textL'Afflitto, Andrea, and Cornel Sultan. "Applications of Calculus of Variations to Aircraft and Spacecraft Path Planning." In AIAA Guidance, Navigation, and Control Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2009. http://dx.doi.org/10.2514/6.2009-6073.
Full textL'Afflitto, Andrea, and Cornel Sultan. "Calculus of variations for guaranteed optimal path planning of aircraft formations." In 2010 IEEE International Conference on Robotics and Automation (ICRA 2010). IEEE, 2010. http://dx.doi.org/10.1109/robot.2010.5509749.
Full textL`Afflitto, Andrea, and Cornel Sultan. "On Calculus of Variations in Aircraft and Spacecraft Formation Flying Path Planning." In AIAA Guidance, Navigation, and Control Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2010. http://dx.doi.org/10.2514/6.2010-8018.
Full textReports on the topic "Calculus of variations"
Chernyak, Vladimir Y., Michael Chertkov, Joris Bierkens, and Hilbert J. Kappen. Optimal Stochastic Control as Non-equilibrium Statistical Mechanics: Calculus of Variations over Density and Current. Office of Scientific and Technical Information (OSTI), June 2013. http://dx.doi.org/10.2172/1086764.
Full textAlenezi, Ali, Athary Saleem, Hamad Alajmi, Dalal Al Husainan, Odai Al Shadifat, and Ahmed Bader. Intraoperatively Diagnosed Double Cystic Duct During Laparoscopic Cholecystectomy: A Case Report of a Surgical Dilemma for the Operating Surgeons. Science Repository, April 2024. http://dx.doi.org/10.31487/j.ajscr.2024.01.04.
Full textDufour, Quentin, David Pontille, and Didier Torny. Contracter à l’heure de la publication en accès ouvert. Une analyse systématique des accords transformants. Ministère de l'enseignement supérieur et de la recherche, April 2021. http://dx.doi.org/10.52949/2.
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