Relevant bibliographies by topics / Calculus of variations

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
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Academic literature on the topic 'Calculus of variations'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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Journal articles on the topic "Calculus of variations"

1

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.

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Brendle, 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.

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Brendle, 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.

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Figalli, Alessio, Robert Kohn, Tatiana Toro, and Neshan Wickramasekera. "Calculus of Variations." Oberwolfach Reports 15, no. 3 (2019): 2077–156. http://dx.doi.org/10.4171/owr/2018/35.

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Figalli, Alessio, Robert V. Kohn, Tatiana Toro, and Neshan Wickramasekera. "Calculus of Variations." Oberwolfach Reports 17, no. 2 (2021): 1139–96. http://dx.doi.org/10.4171/owr/2020/22.

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Bronsard, Lia, László Székelyhidi Jr., Yoshihiro Tonegawa, and Tatiana Toro. "Calculus of Variations." Oberwolfach Reports 19, no. 3 (2023): 2129–93. http://dx.doi.org/10.4171/owr/2022/37.

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Bronsard, Lia, Maria Colombo, László Székelyhidi Jr., and Yoshihiro Tonegawa. "Calculus of Variations." Oberwolfach Reports 21, no. 3 (2025): 2113–78. https://doi.org/10.4171/owr/2024/37.

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The Calculus of Variations is at the same time a classical subject, with long-standing open questions which have generated exciting discoveries in recent decades, and a modern subject in which new types of questions arise, driven by mathematical developments and emergent applications. It is also a subject with a very wide scope, touching on interrelated areas that include geometric variational problems, optimal transportation, geometric inequalities and domain optimization problems, elliptic regularity, geometric measure theory, harmonic analysis, physics, free boundary problems, etc. The work
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Dods, Victor. "Riemannian Calculus of Variations Using Strongly Typed Tensor Calculus." Mathematics 10, no. 18 (2022): 3231. http://dx.doi.org/10.3390/math10183231.

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In this paper, the notion of strongly typed language will be borrowed from the field of computer programming to introduce a calculational framework for linear algebra and tensor calculus for the purpose of detecting errors resulting from inherent misuse of objects and for finding natural formulations of various objects. A tensor bundle formalism, crucially relying on the notion of pullback bundle, will be used to create a rich type system with which to distinguish objects. The type system and relevant notation is designed to “telescope” to accommodate a level of detail appropriate to a set of
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Chambers, Ll G., N. I. Akhiezer, Michael E. Alferieff, and B. Dacorogna. "The Calculus of Variations." Mathematical Gazette 74, no. 468 (1990): 191. http://dx.doi.org/10.2307/3619399.

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Gondran, M., and R. Hoblos. "Complex Calculus of Variations." IFAC Proceedings Volumes 34, no. 13 (2001): 727–30. http://dx.doi.org/10.1016/s1474-6670(17)39079-1.

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Dissertations / Theses on the topic "Calculus of variations"

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Tavares, Dina dos Santos. "Fractional calculus of variations." Doctoral thesis, Universidade de Aveiro, 2017. http://hdl.handle.net/10773/22184.

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Doutoramento em Matemática e Aplicações<br>O 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 apresentad
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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.

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Doutoramento em Matemática<br>Estudamos 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 fr
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Zhang, Chengdian. "Calculus of variations with multiple integration." Bonn : [s.n.], 1989. http://catalog.hathitrust.org/api/volumes/oclc/20436929.html.

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Capet, Stéphane. "Calculus of variations in quantum mechanics." Thesis, University of Warwick, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.444831.

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Santos, Simão Pedro Silva. "Calculus of variations of Herglotz type." Doctoral thesis, Universidade de Aveiro, 2017. http://hdl.handle.net/10773/22503.

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Doutoramento em Matemática<br>We 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
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Gratwick, Richard. "Singular minimizers in the calculus of variations." Thesis, University of Warwick, 2011. http://wrap.warwick.ac.uk/47653/.

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This thesis examines the possible failure of regularity for minimizers of onedimensional variational problems. The direct method of the calculus of variations gives rigorous assurance that minimizers exist, but necessarily admits the possibility that minimizers might not be smooth. Regularity theory seeks to assert some extra smoothness of minimizers. Tonelli's partial regularity theorem states that any absolutely continuous minimizer has a (possibly infinite) classical derivative everywhere, and this derivative is continuous as a function into the extended real line. We examine the limits of
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Taheri, Ali. "Local minimizers in the calculus of variations." Thesis, Heriot-Watt University, 1997. http://hdl.handle.net/10399/656.

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Perrotta, Stefania. "Some Problems in the Calculus of Variations." Doctoral thesis, SISSA, 1996. http://hdl.handle.net/20.500.11767/4452.

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Bedford, 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.

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The thesis concerns the mathematical study of the calculus of variations and its application to liquid crystals. In the first chapter we examine vectorial problems in the calculus of variations with an additional pointwise constraint so that any admissible function <strong>n</strong> ε W<sup>1,1</sup>(ΩM), and M is a manifold of suitable regularity. We formulate necessary and sufficient conditions for any given state <strong>n</strong> to be a strong or weak local minimiser of I. This is achieved using a nearest point projection mapping in order to use the more classical results which apply in
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Chan, 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.

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Books on the topic "Calculus of variations"

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I, Akhiezer N. The calculus of variations. Harwood Academic Publishers, 1988.

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Kielhöfer, Hansjörg. Calculus of Variations. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-71123-2.

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Rindler, Filip. Calculus of Variations. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-77637-8.

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Giaquinta, Mariano. Calculus of variations. Springer-Verlag, 1996.

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Jost, Jürgen. Calculus of variations. Cambridge University Press, 1998.

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Stefan, Hildebrandt, ed. Calculus of variations. Springer, 1996.

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V, Fomin S., and Silverman Richard A, eds. Calculus of variations. Dover Publications, 2000.

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Giaquinta, Mariano, and Stefan Hildebrandt. Calculus of Variations II. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-06201-2.

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van Brunt, Bruce. The Calculus of Variations. Springer New York, 2004. http://dx.doi.org/10.1007/b97436.

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Giaquinta, Mariano, and Stefan Hildebrandt. Calculus of Variations I. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-03278-7.

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Book chapters on the topic "Calculus of variations"

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Bronshtein, Ilja N., Konstantin A. Semendyayev, Gerhard Musiol, and Heiner Muehlig. "Calculus of Variations." In Handbook of Mathematics. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-05382-9_10.

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Bronshtein, I. N., K. A. Semendyayev, Gerhard Musiol, and Heiner Mühlig. "Calculus of Variations." In Handbook of Mathematics. Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-662-46221-8_10.

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Marin, Marin, and Andreas Öchsner. "Calculus of Variations." In Complements of Higher Mathematics. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-74684-5_5.

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Courant, Richard, and Fritz John. "Calculus of Variations." In Introduction to Calculus and Analysis. Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4613-8958-3_7.

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Hu, Shouchuan, and Nikolas S. Papageorgiou. "Calculus of Variations." In Handbook of Multivalued Analysis. Springer US, 2000. http://dx.doi.org/10.1007/978-1-4615-4665-8_5.

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de Saxcé, Géry, and Claude Vallée. "Calculus of Variations." In Galilean Mechanics and Thermodynamics of Continua. John Wiley & Sons, Inc., 2016. http://dx.doi.org/10.1002/9781119057956.ch6.

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Agrawal, Sunil Kumar, and Brian C. Fabien. "Calculus of Variations." In Solid Mechanics and Its Applications. Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-015-9149-2_3.

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Nožička, František. "Calculus of Variations." In Survey of Applicable Mathematics. Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-015-8308-4_23.

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Chau, K. T. "Calculus of Variations." In Theory of Differential Equations in Engineering and Mechanics. CRC Press, 2017. http://dx.doi.org/10.1201/9781315164939-13.

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Meinsma, Gjerrit, and Arjan van der Schaft. "Calculus of Variations." In A Course on Optimal Control. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-36655-0_1.

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Conference papers on the topic "Calculus of variations"

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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.

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Guseinov, 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.

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Arroyo, 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.

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Corless, Robert M. "Sufficiency analysis for the calculus of variations." In the international symposium. ACM Press, 1994. http://dx.doi.org/10.1145/190347.190417.

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Fu, 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.

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Barbaresco, 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.

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Girejko, 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.

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L'Afflitto, Andrea, and Cornel Sultan. "Applications of Calculus of Variations to Aircraft and Spacecraft Path Planning." In AIAA Guidance, Navigation, and Control Conference. American Institute of Aeronautics and Astronautics, 2009. http://dx.doi.org/10.2514/6.2009-6073.

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L'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.

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L`Afflitto, Andrea, and Cornel Sultan. "On Calculus of Variations in Aircraft and Spacecraft Formation Flying Path Planning." In AIAA Guidance, Navigation, and Control Conference. American Institute of Aeronautics and Astronautics, 2010. http://dx.doi.org/10.2514/6.2010-8018.

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Reports on the topic "Calculus of variations"

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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), 2013. http://dx.doi.org/10.2172/1086764.

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Alenezi, 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, 2024. http://dx.doi.org/10.31487/j.ajscr.2024.01.04.

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Introduction and Importance: A double cystic duct with a single gallbladder is one of the extremely uncommon variations of the cystic duct and only a few cases were reported in literature. Case Presentation: A 33-year-old female, with an unremarkable medical history, presented to the emergency department with a 2-day history of right upper quadrant abdominal (RUQ) pain. The abdominal pain was gradually increasing in intensity radiating to the back and was associated with anorexia and multiple episodes of vomiting. Abdominal examination revealed RUQ pain and tenderness. Abdominal ultrasonograph
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Dufour, 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, 2021. http://dx.doi.org/10.52949/2.

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Cette étude porte sur une des innovations contemporaines liées à l’économie de la publication scientifique : les accords dits transformants, un objet relativement circonscrit au sein des relations entre consortiums de bibliothèques et éditeurs scientifiques, et temporellement situé entre 2015 et 2020. Ce type d’accords a pour objectif affiché d’organiser la transition du modèle traditionnel de l’abonnement à des revues (souvent proposées par regroupements thématiques ou collections) vers celui de l’accès ouvert en opérant une réaffectation des budgets qui y sont consacrés. Notre travail d’anal
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