Relevant bibliographies by topics / Lagrange equations

Academic literature on the topic 'Lagrange equations'

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Published: 4 June 2021
Last updated: 29 July 2024

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Journal articles on the topic "Lagrange equations"

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Derevenskii, V. P. "Lagrange matrix equations." Russian Mathematics 59, no. 12 (November 7, 2015): 10–20. http://dx.doi.org/10.3103/s1066369x15120026.

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Potts, Renfrey B. "Discrete Lagrange equations." Bulletin of the Australian Mathematical Society 37, no. 2 (April 1988): 227–33. http://dx.doi.org/10.1017/s0004972700026769.

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Koh, Youngmee, and Sangwook Ree. "Lagrange and Polynomial Equations." Journal for History of Mathematics 27, no. 3 (June 30, 2014): 165–82. http://dx.doi.org/10.14477/jhm.2014.27.3.165.

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Ellis, David C. P., François Gay-Balmaz, Darryl D. Holm, and Tudor S. Ratiu. "Lagrange–Poincaré field equations." Journal of Geometry and Physics 61, no. 11 (November 2011): 2120–46. http://dx.doi.org/10.1016/j.geomphys.2011.06.007.

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Baev, V. K. "Lagrange Equations of Envelopes." Journal of Physics: Conference Series 941 (December 2017): 012087. http://dx.doi.org/10.1088/1742-6596/941/1/012087.

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Mingliang, Zheng. "RENORMALIZATION GROUP METHOD FOR A CLASS OF LAGRANGE MECHANICAL SYSTEMS." Journal of the Serbian Society for Computational Mechanics 16, no. 2 (December 1, 2022): 96–104. http://dx.doi.org/10.24874/jsscm.2022.16.02.07.

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Considering the important role of small parameter perturbation term in mechanical systems, the perturbed dynamic differential equations of Lagrange systems are established. The basic idea and method of solving ordinary differential equations by normal renormalization group method are transplanted into a kind of Lagrange mechanical systems, the renormalization group equations of Euler-Lagrange equations are obtained, and the first-order uniformly valid asymptotic approximate solution of Lagrange systems with a single-degree-of-freedom is given. Two examples are used to show the calculation steps of renormalization group method in detail as well as to verify the correctness of the method. The innovative finding of this paper is that for integrable Lagrange systems, its renormalization group equations are also integrable and satisfy the Hamilton system's structure.
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Sun, Lanyin, and Chungang Zhu. "B-Spline Solutions of General Euler-Lagrange Equations." Mathematics 7, no. 4 (April 22, 2019): 365. http://dx.doi.org/10.3390/math7040365.

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The Euler-Lagrange equations are useful for solving optimization problems in mechanics. In this paper, we study the B-spline solutions of the Euler-Lagrange equations associated with the general functionals. The existing conditions of B-spline solutions to general Euler-Lagrange equations are given. As part of this work, we present a general method for generating B-spline solutions of the second- and fourth-order Euler-Lagrange equations. Furthermore, we show that some existing techniques for surface design, such as Coons patches, are exactly the special cases of the generalized Partial differential equations (PDE) surfaces with appropriate choices of the constants.
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Nowakowski, Andrzej, and Andrzej Rogowski. "Periodic solutions of Lagrange equations." Topological Methods in Nonlinear Analysis 22, no. 1 (September 1, 2003): 167. http://dx.doi.org/10.12775/tmna.2003.034.

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Herzallah, Mohamed A. E., and Dumitru Baleanu. "Fractional Euler–Lagrange equations revisited." Nonlinear Dynamics 69, no. 3 (January 18, 2012): 977–82. http://dx.doi.org/10.1007/s11071-011-0319-5.

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Burov, A. A., and I. I. Kosenko. "The Lagrange differential-algebraic equations." Journal of Applied Mathematics and Mechanics 78, no. 6 (2014): 587–98. http://dx.doi.org/10.1016/j.jappmathmech.2015.04.006.

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Dissertations / Theses on the topic "Lagrange equations"

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Warren, Micah. "Special Lagrangian equations /." Thesis, Connect to this title online; UW restricted, 2008. http://hdl.handle.net/1773/5749.

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Haskins, Mark. "Constructing special Lagrangian cones /." Digital version accessible at:, 2000. http://wwwlib.umi.com/cr/utexas/main.

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Ware, Antony Frank. "A spectral Lagrange-Galerkin method for convection-dominated diffusion equations." Thesis, University of Oxford, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.302896.

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CAMALET, EUGENE. "Methodes de couplage euler-lagrange pour les equations d'euler-poisson." Paris 6, 1995. http://www.theses.fr/1995PA066276.

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Nous etudions dans une premiere partie la modelisation d'un plasma froid par les equations d'euler-poisson sans pression. La description lagrangienne des equations de convection permet de prendre en compte les phenomenes de deferlement (vitesses multivoques) apparaissant dans ce type de plasma. Les instabilites dues a la methode particule/maille sont resorbees par l'introduction d'une pression numerique. La seconde partie est consacree a la simulation de dispositifs semiconducteurs de type mesfet et diode par un modele hydrodynamique isotherme. Les collisions sont modelisees par un terme de relaxation en temps. On utilise la methode numerique developpee dans la premiere partie. Enfin on etudie un modele sans pression ou la vitesse derive d'un potentiel couple a l'equation de poisson. Dans le cadre gravitationnel on montre que les solutions sont caracterisees par un principe de minimisation de l'energie. Si la densite est bornee on montre que les vitesses gagnent en regularite dans le cadre electrostatique et gravitationnel
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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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Priestley, A. "Lagrange and characteristic Galerkin methods for evolutionary problems." Thesis, University of Oxford, 1986. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.376942.

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Baturin, Nickolay G. "Dynamics and effects of the tropical instability waves /." Diss., Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC campuses, 1997. http://wwwlib.umi.com/cr/ucsd/fullcit?p9737308.

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Danish, Md. "Lagrangian tracking, analysis and modeling of velocity-gradient dynamics in compressible turbulence." Thesis, IIT Delhi, 2017. http://localhost:8080/xmlui/handle/12345678/7060.

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Theron, Willem Frederick Daniel. "Analysis of the rolling motion of loaded hoops /." Link to the online version, 2008. http://hdl.handle.net/10019.1/1206.

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Baker, M. D. "A spectral Lagrange-Galerkin method for periodic/non-periodic convection-dominated diffusion problems." Thesis, University of Oxford, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.240539.

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Books on the topic "Lagrange equations"

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United States. National Aeronautics and Space Administration., ed. Eno-Oshers schemes for Euler equations. [Washington, DC]: National Aeronautics and Space Administration, 1992.

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United States. National Aeronautics and Space Administration., ed. Eno-Oshers schemes for Euler equations. [Washington, DC]: National Aeronautics and Space Administration, 1992.

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United States. National Aeronautics and Space Administration., ed. Eno-Osher schemes for Euler equations. [Washington, DC]: National Aeronautics and Space Administration, 1992.

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Huynh, Hung T. Accurate upwind methods for the Euler equations. [Washington, DC]: National Aeronautics and Space Administration, 1993.

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

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Ajay, Kumar, and Langley Research Center, eds. Compact high order schemes for the Euler equations. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1988.

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

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E, Turkel, and United States. National Aeronautics and Space Administration., eds. Central difference TVD and TVB schemes for time dependent and steady state problems. [Washington, DC]: National Aeronautics and Space Administration, 1992.

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

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M, Atassi H., and United States. National Aeronautics and Space Administration., eds. Numerical solutions of the linearized Euler equations for unsteady vortical flows around lifting airfoils. [Washington, DC: National Aeronautics and Space Administration, 1990.

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Book chapters on the topic "Lagrange equations"

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Strocchi, Franco. "Lagrange equations." In A Primer of Analytical Mechanics, 5–26. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-73761-4_2.

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Pletser, Vladimir. "Lagrange Equations." In UNITEXT for Physics, 1–18. Singapore: Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-3026-1_1.

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DiBenedetto, Emmanuele. "The Lagrange Equations." In Classical Mechanics, 141–72. Boston, MA: Birkhäuser Boston, 2010. http://dx.doi.org/10.1007/978-0-8176-4648-6_6.

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Rao, J. S. "Euler-Lagrange Equations." In Simulation Based Engineering in Solid Mechanics, 83–100. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-47614-8_3.

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Troutman, John L. "The Euler-Lagrange Equations." In Variational Calculus and Optimal Control, 145–93. New York, NY: Springer New York, 1996. http://dx.doi.org/10.1007/978-1-4612-0737-5_7.

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Bourguignon, Jean-Pierre. "The Euler–Lagrange Equations." In Springer Monographs in Mathematics, 197–227. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-18307-2_9.

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Yawata, Makoto. "Killing Equations in Tangent Bundle." In Lagrange and Finsler Geometry, 189–94. Dordrecht: Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-015-8650-4_16.

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Zet, Gheorghe, and Vasile Manta. "Self-Duality Equations for Gauge Theories." In Finsler and Lagrange Geometries, 313–22. Dordrecht: Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-0405-2_34.

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Bellman, Richard, and George Adomian. "The Euler-Lagrange Equations and Characteristics." In Partial Differential Equations, 36–58. Dordrecht: Springer Netherlands, 1985. http://dx.doi.org/10.1007/978-94-009-5209-6_4.

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Neimark, Juri I. "Electromechanical analogies. Lagrange-Maxwell equations." In Foundations of Engineering Mechanics, 159–72. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-47878-2_15.

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Conference papers on the topic "Lagrange equations"

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Baleanu, Dumitru, and Xiao-Jun Yang. "Euler-Lagrange Equations on Cantor Sets." In ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-12332.

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Bao, Yongtang, and Yue Qi. "A Lagrange Equations-Based Hair Simulation Method." In 2014 International Conference on Virtual Reality and Visualization (ICVRV). IEEE, 2014. http://dx.doi.org/10.1109/icvrv.2014.21.

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Jiménez, Salvador. "CONSERVATIVE NUMERICAL SCHEMES FOR EULER-LAGRANGE EQUATIONS." In Proceedings of the International Workshop. WORLD SCIENTIFIC, 1995. http://dx.doi.org/10.1142/9789814503877_0017.

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MURIEL, C., and J. L. ROMERO. "NEW ORDER REDUCTIONS FOR EULER-LAGRANGE EQUATIONS." In Proceedings of the International Conference on SPT 2004. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812702142_0029.

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Avkar, Tansel. "Fractional Euler-Lagrange Equations for Constrained Systems." In GLOBAL ANALYSIS AND APPLIED MATHEMATICS: International Workshop on Global Analysis. AIP, 2004. http://dx.doi.org/10.1063/1.1814717.

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Klimek, M., Piotr Kielanowski, Anatol Odzijewicz, Martin Schlichenmeier, and Theodore Voronov. "Solutions of Euler-Lagrange equations in fractional mechanics." In XXVI INTERNATIONAL WORKSHOP ON GEOMETRICAL METHODS IN PHYSICS. AIP, 2007. http://dx.doi.org/10.1063/1.2820982.

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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 Lagrange procedure we have the ordinary differential equations (ODE), not the DAE, including the differential equation with respect to the Lagrange multipliers. This paper also presents a numerically stable method for inverting the system matrix. The numerical solution for the differential equations with respect to the Lagrange multipliers as well as the system coordinates by using the ordinary numerical integration method, e.g. Runge-Kutta method, shows the excellent stability of the constraints, which is superior to the penalty method.
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Colombo, Leonardo, Fernando Jiménez, and David Martín de Diego. "Second order Euler-Lagrange equations for trivial principal bundles." In XX INTERNATIONAL FALL WORKSHOP ON GEOMETRY AND PHYSICS. AIP, 2012. http://dx.doi.org/10.1063/1.4733378.

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Garci´a de Jalo´n, Javier, Alfonso Callejo, Andre´s F. Hidalgo, and Mari´a D. Gutie´rrez. "Efficient Solution of Maggi’s Equations." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-48366.

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According to a recent paper by Laulusa and Bauchau [1], Maggi’s formulation is a simple and stable way to solve the dynamic equations of constrained multibody systems. Among the difficulties of Maggi’s formulation, Laulusa and Bauchau quoted the need for an appropriate choice (and change, when necessary) of independent coordinates, as well as the high cost of computing and updating the basis of the tangent null space of constraint equations. In this paper, index-1 Lagrange’s equations are first considered, including the not-so-rare case of having a singular mass matrix and redundant constraints. The existence and uniqueness of solution for acceleration vector and Lagrange multipliers vector is studied in a very simple way. Then, following Von Schwerin [2], Maggi’s formulation is described as the most efficient way (globally speaking) to solve these index-1 equations. Next, an improved double-step method, which implements the matrix transformations of Maggi’s formulation in an efficient way, is described. Finally, two large real-life examples are presented.
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Shirakawa, Ken. "Continuous dependence for solution classes of Euler-Lagrange equations generated by linear growth energies." In Nonlocal and Abstract Parabolic Equations and their Applications. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2009. http://dx.doi.org/10.4064/bc86-0-18.

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