Relevant bibliographies by topics / Lagrange equation

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

Academic literature on the topic 'Lagrange equation'

Author: Grafiati
Published: 2 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Lagrange equation"

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Bodaghi, Abasalt, Hossein Moshtagh, and Amir Mousivand. "Characterization and Stability of Multi-Euler-Lagrange Quadratic Functional Equations." Journal of Function Spaces 2022 (October 10, 2022): 1–9. http://dx.doi.org/10.1155/2022/3021457.

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The aim of the current article is to characterize and to prove the stability of multi-Euler-Lagrange quadratic mappings. In other words, it reduces a system of equations defining the multi-Euler-Lagrange quadratic mappings to an equation, say, the multi-Euler-Lagrange quadratic functional equation. Moreover, some results corresponding to known stability (Hyers, Rassias, and Gӑvruta) outcomes regarding the multi-Euler-Lagrange quadratic functional equation are presented in quasi- β -normed and Banach spaces by using the fixed point methods. Lastly, an example for the nonstable multi-Euler-Lagra
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Moiseenko, R. P., and O. O. Kondratenko. "LAGRANGIAN METHOD FOR ALGORITHM OPTIMIZATION OF RIBBED THIN PLATES." Vestnik Tomskogo gosudarstvennogo arkhitekturno-stroitel'nogo universiteta. JOURNAL of Construction and Architecture, no. 1 (April 13, 2018): 140–47. http://dx.doi.org/10.31675/1607-1859-2018-20-1-140-147.

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The paper presents two iteration algorithms for the equation solution using the method of Lagrange multipliers. It is shown that these iteration algorithms do not converge. For comparison, we use the optimum parameters of a ribbed plate obtained by other methods. The proposed method is based on the specific properties of optimality of ribbed plates formulated as a result of the Lagrange equation analysis. These optimum parameters satisfy each of Lagrange equations. The solution of these equations shows that optimization of ribbed plates is possible only with the use of specific optimality prop
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Hasan, Amna, Hakeem A. Othman, and Sami H. Altoum. "q-Euler Lagrange Equation." American Journal of Applied Sciences 16, no. 9 (2019): 283–88. http://dx.doi.org/10.3844/ajassp.2019.283.288.

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Ingtem, Natal’ya V. "THE APPROACH OF LAGRANGE AND RUFFINI TO THE ISSUE OF SOLVING EQUATIONS OF THE 5TH DEGREE IN RADICALS." RSUH/RGGU Bulletin. Series Information Science. Information Security. Mathematics, no. 3 (2021): 96–106. http://dx.doi.org/10.28995/2686-679x-2021-3-96-106.

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The article deals in two points of view on the solution of the equation of the fifth degree. From one side, it is Lagrange’s analysis, in which a new method for investigating the possibility of solving equations is presented. That method consists in using the roots of a given equation to consequently construct functions from them the degree of the equation with respect to each subsequent function will decrease. To implement the method, Lagrange invented a technique which consists in studying the behavior of a function with all possible permutations of roots in it. In the process of analysis he
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Wang, Zhao Qing, Jian Jiang, Bing Tao Tang, and Wei Zheng. "Numerical Solution of Bending Problem for Elliptical Plate Using Differentiation Matrix Method Based on Barycentric Lagrange Interpolation." Applied Mechanics and Materials 638-640 (September 2014): 1720–24. http://dx.doi.org/10.4028/www.scientific.net/amm.638-640.1720.

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A differentiation matrix method based on barycentric Lagrange interpolation for numerical analysis of bending problem for elliptical plate is presented. Embedded the elliptical domain into a rectangular, the barycentric Lagrange interpolation in tensor form is used to approximate unknown function. The governing equation of bending plate is discretized by the differentiation matrix derived from barycentric Lagrange interpolation to form a system of algebraic equations. The boundary conditions on curved boundary are directly discretized using barycentric Lagrange interpolation. Combining discret
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Zhang, Xiang Mei, An Ping Xu, and Xian Zhou Guo. "Stability Analysis of Fractional Delay Differential Equations by Lagrange Polynomial." Advanced Materials Research 500 (April 2012): 591–95. http://dx.doi.org/10.4028/www.scientific.net/amr.500.591.

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The paper deals with the numerical stability analysis of fractional delay differential equations with non-smooth coefficients using the Lagrange collocation method. In this paper, based on the Grunwald-Letnikov fractional derivatives, we discuss the approximation of fractional differentiation by the Lagrange polynomial. Then we study the numerical stability of the fractional delay differential equations. Finally, the stability of the delayed Mathieu equation of fractional order is studied and examined by Lagrange collocation method.
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Rahmah, Arina Alfa, Mahsa Akhdania, and Bayu Setiaji. "STUDI LITERATUR: PENERAPAN KONSEP MEKANIKA LAGRANGE PADA KEHIDUPAN SEHARI-HARI." Charm Sains: Jurnal Pendidikan Fisika 5, no. 2 (2024): 61–67. https://doi.org/10.53682/charmsains.v5i3.341.

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The application of mechanical concepts to everyday life is important in understanding the physical phenomena that occur. One branch of physics is mechanics which studies the behavior of objects influenced by force and displacement. In complex situations, many variables can be involved in the solution, so it is necessary to involve mathematical methods using the Lagrange equation. This article explains the application of Lagrange's equation in various systems such as pulleys, levers, oscillations, and double pendulum systems that are often encountered in everyday life. In addition, this article
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Damayanti, Fitria Siska, RA Sania Noviana, Yora Inda Lestari, Hamdi Akhsan, and Ismet Ismet. "Exploring Applications of Lagrange’s Equations in Technology: A Systematic Literature Review." Aceh International Journal of Science and Technology 13, no. 2 (2024): 123–30. https://doi.org/10.13170/aijst.13.2.39380.

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Lagrange's equation is a formula in analytical mechanics used to solve problems with physical system dynamics. It allows mathematical modeling to simplify complex mechanical problems by changing the coordinate system, thus providing a deeper understanding of motion. In this research, a literature study was conducted using the Systemic Literature Review (SLR) method from 30 data sources, 24 of which were indexed by Scopus. A total of 11 articles have been reviewed with a focus on the application of Lagrange's equation in various technologies. The review results show that Lagrange multipliers pr
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Dewi, Nila Mutia. "PENERAPAN PERSAMAAN LAGRANGE PADA SISTEM BANDUL GANDA YANG TERHUBUNG OLEH PEGAS." JURNAL PEMBELAJARAN FISIKA 12, no. 4 (2023): 172. http://dx.doi.org/10.19184/jpf.v12i4.44541.

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Lagrange mechanics is an analytical method in classical mechanics that does not consider forces acting on the system. It focuses instead on kinetic and potential energies as the core of the entire system. The primary goal of this study is to derive the equations of motion for the coupled pendulums connected by a spring system using Lagrange equation. Two identical pendulums, each positioned at the end of its respective lengths, were connected by a spring. Formulating the Lagrangian for this system enabled the derivation of the equation of motion through the Lagrange equation. These equations w
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Kasap, Zeki. "Weyl–Euler–Lagrange equations on twistor space for tangent structure." International Journal of Geometric Methods in Modern Physics 13, no. 07 (2016): 1650095. http://dx.doi.org/10.1142/s021988781650095x.

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Twistor spaces are certain complex three-manifolds, which are associated with special conformal Riemannian geometries on four-manifolds. Also, classical mechanic is one of the major subfields for mechanics of dynamical system. A dynamical system has a state determined by a collection of real numbers, or more generally by a set of points in an appropriate state space for classical mechanic. Euler–Lagrange equations are an efficient use of classical mechanics to solve problems using mathematical modeling. On the other hand, Weyl submitted a metric with a conformal transformation for unified theo
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Dissertations / Theses on the topic "Lagrange equation"

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Stoffel, Joshua David. "Lagrange-Chebyshev Based Single Step Methods for Solving Differential Equations." University of Akron / OhioLINK, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=akron1335299082.

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Oliveira, Anabela Pacheco de Pacheco de Oliveira Anabela De Oliveira Anabela Pacheco. "A comparison of Eulerian-Lagrangian methods for the solution of the transport equation /." Full text open access at:, 1994. http://content.ohsu.edu/u?/etd,208.

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Tröltzsch, Fredi. "On the Lagrange-Newton-SQP Method for the Optimal Control of Semilinear Parabolic Equations." Universitätsbibliothek Chemnitz, 1998. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199800995.

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A class of Lagrange-Newton-SQP methods is investigated for optimal control problems governed by semilinear parabolic initial- boundary value problems. Distributed and boundary controls are given, restricted by pointwise upper and lower bounds. The convergence of the method is discussed in appropriate Banach spaces. Based on a weak second order sufficient optimality condition for the reference solution, local quadratic convergence is proved. The proof is based on the theory of Newton methods for generalized equations in Banach spaces.
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Picard, Thierry. "Modelisation eulerienne-lagrangienne de la combustion d'ergols dans un moteur de fusee biliquide." Paris, ENMP, 1987. http://www.theses.fr/1987ENMP0035.

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Modelisation d'un ecoulement gazeux turbulent dans lequel des gouttes d'ergols se vaporisent et brulent. Une etude parametrique sur une chambre bidimensionnelle, puis une simulation d'une chambre reelle
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Dakin, Gautier. "Couplage fluide-structure d'ordre (très) élevé pour des schémas volumes finis 2D Lagrange-projection." Thesis, Paris 6, 2017. http://www.theses.fr/2017PA066404/document.

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Ce travail est consacré à l’étude numérique de l’interaction entre un fluide compressible et une structure indéformable, en adaptant une famille récente de schémas d’ordre très élevé à la prise en compte de conditions aux bords particulières entre le fluide et la structure. Plus précisément,on évalue l’apport de schémas d’ordre strictement supérieur à 3 par rapport à des stratégies plus classiques dans la littérature restreintes aux ordres 1 et 2. Un résultat important est qu’il est possible de réaliser le couplage à tout ordre et qu’il existe des configurations pour lesquelles on observe un g
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Habeck, Daniel. "Kontaktprobleme in der nichtlinearen Elastizitätstheorie." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2008. http://nbn-resolving.de/urn:nbn:de:bsz:14-ds-1217340286742-02578.

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Es werden Kontaktprobleme im Rahmen der nichtlinearen Elastizitätstheorie mit Mitteln der Variationsrechnung behandelt. Dabei liegt das Hauptaugenmerk auf der Untersuchung des Selbstkontakts eines nichtlinear elastischen Körpers. Unter Verwendung einer geeigneten Lagrangeschen Multiplikatorenregel wird eine notwendige Bedingung für Minimierer hergeleitet. Weiterhin werden Ergebnisse für den Kontakt zweier elastischer Körper formuliert.
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BONFANTI, GIOVANNI. "Progresses on some classical problems of the calculus of variations." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2012. http://hdl.handle.net/10281/28223.

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Some theorems about the validity of the Euler-Lagrange equation are proved. In particular, Lagrangians without regularity hypothesis or without growth assumptions are considered. Moreover, a result about the non-occurrence of the Lavrentiev phenomenon in the scalar case is proved.
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Joachimbauer, Florian. "Concise Modeling of Humanoid Dynamics." Thesis, Högskolan i Halmstad, Akademin för informationsteknologi, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:hh:diva-35094.

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Simulation of mechanical systems like walking robots, is an essential part in developingnew and more applicable solutions in robotics. The increasing complexity of methodsand technologies is a key challenge for common languages. That problem creates a needfor flexible and scalable languages. The thesis concludes that an equation-based toolusing the Euler-Lagrange can simplify the process cycle of modeling and simulation. Itcan minimize the development effort, if the tool supports derivatives. Regretfully, it isnot common to use equation-based tools with this ability for simulation of humanoidr
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Pit, Fabienne. "Modélisation du mélange pour la simulation d'écoulements réactifs turbulents : essais de modèles eulériens lagrangiens." Rouen, 1993. http://www.theses.fr/1993ROUE5020.

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Ce travail porte sur la modélisation et la simulation d'écoulements réactifs turbulents à chimie non infiniment rapide par une fonction densité de probabilité conjointe. La résolution de l'équation d'évolution temporelle de la PDF conjointe analytiquement ou numériquement est très complexe. En fait, le problème est simplifié en intégrant cette équation dans l'espace des vitesses. On obtient ainsi une approche hybride probabiliste eulérienne lagrangienne. Une méthode de Monte-Carlo est utilisée ensuite, pour simuler cette équation. Dans cette équation, le phénomène de mélange a petite échelle d
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Caillau, Philippe. "Modélisation et simulation de la combustion turbulente par une approche probabiliste eulérienne lagrangienne." Rouen, 1994. http://www.theses.fr/1994ROUES080.

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L'objet de cette thèse concerne la modélisation des écoulements réactifs turbulents. L'objectif visé consiste à développer un modèle susceptible de prédire la formation des polluants comme le monoxyde d'azote NO ou le monoxyde de carbone CO dans des foyers tridimensionnels complexes. Pour y parvenir, on fait appel à une approche probabiliste eulérienne lagrangienne (PEUL) où le champ de vitesse est calculé à l'aide des équations eulériennes de bilan moyennées et le champ de composition et de température par une méthode dite à transport de PDF (probability density function) lagrangienne. La mod
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Books on the topic "Lagrange equation"

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Fuhrer, Claus. Formulation and numerical solution of the equations of constrained mechanical motion. DFLVR, 1989.

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Center, Langley Research, ed. Singularities of the Euler equation and hydrodynamic stability. National Aeronautics and Space Administration, Langley Research Center, 1992.

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Center, Langley Research, ed. Singularities of the Euler equation and hydrodynamic stability. National Aeronautics and Space Administration, Langley Research Center, 1992.

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Center, Langley Research, ed. Canonical-variables multigrid method for steady-state Euler equation. National Aeronautics and Space Administration, Langley Research Center, 1994.

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Jentink, Thomas Neil. Formulation of boundary conditions for the multigrid acceleration of the Euler and Navier Stokes equations. Purdue University, School of Aeronautics and Astronautics, 1990.

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I, Sadrehaghighi, Tiwari S. N, Langley Research Center, and Old Dominion University. Research Foundation., eds. Application of Lagrangian blending functions for grid generation around airplane geometries. National Aeronautics and Space Administration, Langley Research Center, 1990.

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Meng-Sing, Liou, Hindman Richard G, and United States. National Aeronautics and Space Administration., eds. An approach for dynamic grids. National Aeronautics and Space Administration, 1994.

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Felici, Helene M. A coupled Eulerian/Lagrangian method for the solution of three-dimensional vortical flows. Gas Turbine Laboratory, Massachusetts Institute of Technology, 1992.

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Felici, Helene M. A coupled Eulerian/Lagrangian method for the solution of three-dimensional vortical flows. National Aeronautics and Space Administration, 1992.

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Center, NASA Glenn Research, ed. Finite element simulation of a space shuttle solid rocket booster aft skirt splashdown using an arbitrary Lagrangian-Eulerian approach. NASA Glenn Research Center, 2003.

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Book chapters on the topic "Lagrange equation"

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Liu, Jianlin. "Lagrange Equation." In Lecture Notes on Theoretical Mechanics. Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-13-8035-8_14.

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Kielhöfer, Hansjörg. "The Euler-Lagrange Equation." In Texts in Applied Mathematics. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-71123-2_1.

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Greiner, Walter. "Lagrange Equation for Nonholonomic Constraints." In Classical Mechanics. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-03434-3_16.

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Greiner, Walter. "Lagrange Equation for Nonholonomic Constraints." In Classical Mechanics. Springer New York, 2002. http://dx.doi.org/10.1007/978-0-387-21543-3_16.

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Gromov, M. "Cauchy-Riemann Equation in Lagrange Intersection Theory." In Periodic Solutions of Hamiltonian Systems and Related Topics. Springer Netherlands, 1987. http://dx.doi.org/10.1007/978-94-009-3933-2_17.

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Bianchini, Stefano. "On the Euler-Lagrange Equation for a Variational Problem." In Progress in Nonlinear Differential Equations and Their Applications. Birkhäuser Basel, 2007. http://dx.doi.org/10.1007/978-3-7643-8482-1_5.

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Beg, Mirza Faisal, Michael Miller, Alain Trouvé, and Laurent Younes. "The Euler-Lagrange Equation for Interpolating Sequence of Landmark Datasets." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-39903-2_112.

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Butkovskiy, Anatoliy G. "The Euler-Lagrange Equation for the Boundary of Trajectory Funnel." In Phase Portraits of Control Dynamical Systems. Springer Netherlands, 1991. http://dx.doi.org/10.1007/978-94-011-3258-9_16.

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Freire-Torres, Mario, and Jaime Carpio. "Contribution to Mathematical Modeling and Numerical Simulation of Welding Processes." In Proceedings of the XV Ibero-American Congress of Mechanical Engineering. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-38563-6_4.

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AbstractThe present work describes a mathematical model for the numerical simulation of the welding process. Initially, the domain Ω is solid to which the heat is released in certain areas. This heat increases the temperature of the solid, and when the fusion temperature is reached, the phase change occurs. At the fusion temperature, there is a mixture between liquid and solid (modelled as a porous medium); above this temperature mentioned; we will find only liquid. Natural convection currents can occur in the liquid due to buoyancy induced by the gravitational field. In order to reproduce all
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Steinbach, Ingo, and Hesham Salama. "Multi-Phase-Field Approach." In Lectures on Phase Field. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-21171-3_6.

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AbstractIn this chapter the extension of a phase-field model for two phases to multiple phases is presented. This relates to the treatment of triple lines and junctions between several phases, or grains in a multicrystalline structure. The conservation constraint of the sum of all fields in one material point is realized using a Lagrange formalism. The free energy functional is expanded in pairs of phases, as well as the equation of motion of individual phase fields in dependence on all other fields. As example coarsening and texture evolution in a multi grain structure with anisotropic interf
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Conference papers on the topic "Lagrange equation"

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Join, Cédric, Emmanuel Delaleau, and Michel Fliess. "The Euler-Lagrange Equation and Optimal Control: Preliminary Results." In 2024 12th International Conference on Systems and Control (ICSC). IEEE, 2024. https://doi.org/10.1109/icsc63929.2024.10928929.

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Kim, Minsoo, and Hongseok Kim. "Unsupervised Deep Lagrange Dual with Equation Embedding for AC Optimal Power Flow." In 2024 IEEE International Conference on Communications, Control, and Computing Technologies for Smart Grids (SmartGridComm). IEEE, 2024. http://dx.doi.org/10.1109/smartgridcomm60555.2024.10738118.

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Lv, Penghao, Mengwen Li, Yu Dai, Jianxun Zhang, and Wei Zhang. "Fixed-Time Sliding Mode Control of the Slave Manipulator Based on Lagrange Equation." In 2024 China Automation Congress (CAC). IEEE, 2024. https://doi.org/10.1109/cac63892.2024.10864987.

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Ganapol, B. "Numerical Caseology by Lagrange Interpolation for the 1D Neutron Transport Equation in a Slab." In Mathematics and Computation 2021. American Nuclear Society, 2021. https://doi.org/10.13182/xyz-33729.

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Koganezawa, Koichi, and Kazuomi Kaneko. "ODE Methods for Solving the Multibody Dynamics With Constraints." In ASME 1999 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/detc99/vib-8237.

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Abstract This paper deals with methods for solving the multi-body dynamics with constraints. The problem is considered in the framework of solving the Lagrange multipliers in addition to the system coordinates in the differential and algebraic equation (DAE) governing the dynamics with holonomic or non-holonoinic constraints. The proposed methods are originally based on Baumgarte’s work for the holonomic constraints but its extensions. First, one considers a Lagrangian which includes the time-differentiated constraint equations in addition to the constraint equations themselves. Applying the L
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HUANG, HUNG-TSAI, ZI-CAI LI, and AIHUI ZHOU. "GLOBAL SUPERCONVERGENCE OF BIQUADRATIC LAGRANGE ELEMENTS FOR POISSON’S EQUATION." In Proceedings of the Sixth Asian Symposium (ASCM 2003). WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704436_0015.

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Agrawal, Om Prakash. "Lagrangian and Lagrange Equation of Motion for Fractionally Damped Systems." In ASME 1999 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/imece1999-0524.

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Abstract Damping properties of various materials have recently been used as active and passive control parameters in smart structures. In these applications, the damping force is considered as proportional to velocity. In recent years, many investigators have demonstrated that the damping characteristics of a material can be modeled more accurately using a fractional derivative. Traditionally, Newton’s law is used to model such nonconservative systems, and when a Lagrangian, Hamiltonian, variational or other energy based approach is used, it is modified so that the resulting equations match wi
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Lijuan Zhang and Yaqing Tu. "Research of Car Inverted Pendulum Model Based on Lagrange Equation." In 2006 6th World Congress on Intelligent Control and Automation. IEEE, 2006. http://dx.doi.org/10.1109/wcica.2006.1712457.

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Keldiyorova, Mashkhura. "Constructing the differential equation of gyrostatic motion in Lagrange variables." In 6TH INTERNATIONAL CONFERENCE FOR PHYSICS AND ADVANCE COMPUTATION SCIENCES: ICPAS2024. AIP Publishing, 2025. https://doi.org/10.1063/5.0265100.

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Nguyen, Philip P., and Raymond J. Cipra. "Dynamic Analysis of Five-Bar Mechanisms With Torsional Springs Using Lagrange’s Equation and Kinematic Coefficients." In ASME 1999 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/detc99/dac-8621.

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Abstract This research investigates the dynamic motion of planar closed loop two-degree-of-freedom five-bar mechanisms with torsional springs. An analysis technique is presented which incorporates a combination of the Lagrange’s equation and the method of kinematic coefficients in a manner similar to the power equation to achieve improved efficiency. Using the basic mechanism vector loop, the kinematic coefficients and the point path kinematic coefficients are solved symbolically. This information is then incorporated into Lagrange’s equation to produce a formulation that yields the equations
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