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Relevant bibliographies by topics / Lagrangian functions

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Academic literature on the topic 'Lagrangian functions'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 August 2024

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Journal articles on the topic "Lagrangian functions"

1

Musielak, Zdzislaw E., Niyousha Davachi, and Marialis Rosario-Franco. "Special Functions of Mathematical Physics: A Unified Lagrangian Formalism." Mathematics 8, no. 3 (March 9, 2020): 379. http://dx.doi.org/10.3390/math8030379.

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Lagrangian formalism is established for differential equations with special functions of mathematical physics as solutions. Formalism is based on either standard or non-standard Lagrangians. This work shows that the procedure of deriving the standard Lagrangians leads to Lagrangians for which the Euler–Lagrange equation vanishes identically, and that only some of these Lagrangians become the null Lagrangians with the well-defined gauge functions. It is also demonstrated that the non-standard Lagrangians require that the Euler–Lagrange equations are amended by the auxiliary conditions, which is

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Xuegang, Yu. "Hyperbolic Lagrangian functions." Applied Mathematics and Mechanics 19, no. 12 (December 1998): 1189–95. http://dx.doi.org/10.1007/bf02456640.

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Ambot, Amelia A. P., Herry F. Lalus, and Hartoyo Yudhawardana. "ANALISIS LAGRANGIAN NULL NONSTANDAR DAN FUNGSI GAUGE UNTUK HUKUM INERSIA NEWTON : SEBUAH REVIEW." JOURNAL ONLINE OF PHYSICS 9, no. 1 (November 2, 2023): 6–14. http://dx.doi.org/10.22437/jop.v9i1.25909.

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This paper describes a review of a journal entitled 'Nonstandard Null Lagrangians and Gauge Functions for Newtonian Law of Inertia' which discusses Nonstandard Lagrangian Null solutions for Newton's Law of Inertia. The purpose of this study is to present in detail the Lagrangian Formalism method for generating Nonstandard Lagrangian Null and its Gauge function for Newton's Law of Inertia, as well as the role of action invariant in generating Lagrangian Null and Exact Gauge functions, by deriving a one-dimensional oscillator arm using the basic Lagrangian equations. The Nonstandard Null Lagrang

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Musielak, Z. E., N. Davachi, and M. Rosario-Franco. "Lagrangians, Gauge Functions, and Lie Groups for Semigroup of Second-Order Differential Equations." Journal of Applied Mathematics 2020 (June 22, 2020): 1–11. http://dx.doi.org/10.1155/2020/3170130.

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A set of linear second-order differential equations is converted into a semigroup, whose algebraic structure is used to generate novel equations. The Lagrangian formalism based on standard, null, and nonstandard Lagrangians is established for all members of the semigroup. For the null Lagrangians, their corresponding gauge functions are derived. The obtained Lagrangians are either new or generalization of those previously known. The previously developed Lie group approach to derive some equations of the semigroup is also described. It is shown that certain equations of the semigroup cannot be

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ZHANG, LI-WEI, YONG-HONG REN, YUE WU, and XIAN-TAO XIAO. "A CLASS OF NONLINEAR LAGRANGIANS: THEORY AND ALGORITHM." Asia-Pacific Journal of Operational Research 25, no. 03 (June 2008): 327–71. http://dx.doi.org/10.1142/s021759590800178x.

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This paper establishes a theory framework of a class of nonlinear Lagrangians for solving nonlinear programming problems with inequality constraints. A set of conditions are proposed to guarantee the convergence of nonlinear Lagrangian algorithms, to analyze condition numbers of nonlinear Lagrangian Hessians as well as to develop the dual approaches. These conditions are satisfied by well-known nonlinear Lagrangians appearing in literature. The convergence theorem shows that the dual algorithm based on any nonlinear Lagrangian in the class is locally convergent when the penalty parameter is le

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Musielak, Zdzislaw E. "Nonstandard Null Lagrangians and Gauge Functions for Newtonian Law of Inertia." Physics 3, no. 4 (October 4, 2021): 903–12. http://dx.doi.org/10.3390/physics3040056.

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New null Lagrangians and gauge functions are derived and they are called nonstandard because their forms are different than those previously found. The invariance of the action is used to make the Lagrangians and gauge functions exact. The first exact nonstandard null Lagrangian and its gauge function for the law of inertia are obtained, and their physical implications are discussed.

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El-Nabulsi, R. A. "Nonstandard fractional exponential Lagrangians, fractional geodesic equation, complex general relativity, and discrete gravity." Canadian Journal of Physics 91, no. 8 (August 2013): 618–22. http://dx.doi.org/10.1139/cjp-2013-0145.

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Nonstandard Lagrangians are generating functions of different equations of motion. They have gained increasing importance in many different fields. In fact, nonstandard Lagrangians date back to 1978, when Arnold entitled them “non-natural” in his classic book, Mathematical Methods of Classical Mechanics (Springer, New York. 1978). In applied mathematics, most dynamical equations can be obtained by using generating Lagrangian functions (e.g., power-law and exponential Lagrangians), which has been shown by mathematicians, who have also demonstrated that there is an infinite number of such functi

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Chen, Bang-Yen. "Jacobi's elliptic functions and Lagrangian immersions." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 126, no. 4 (1996): 687–704. http://dx.doi.org/10.1017/s0308210500023003.

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First, we establish a sharp inequality between the squared mean curvature and the scalar curvature for a Lagrangian submanifold in a nonflat complex-space-form. Then, by utilising the Jacobi's elliptic functions en and dn, we introduce three families of Lagrangian submanifolds and two exceptional Lagrangian submanifolds Fn, Ln in nonflat complex-space-forms which satisfy the equality case of the inequality. Finally, we obtain the complete classification of Lagrangian submanifolds in nonflat complex-space-forms which satisfy this basic equality.

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Jeffrey, Lisa. "Chern–Simons gauge theory and symplectic quantum mechanics." Canadian Journal of Physics 93, no. 9 (September 2015): 971–73. http://dx.doi.org/10.1139/cjp-2014-0563.

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We describe the relation between the Chern–Simons gauge theory partition function and the partition function defined using the symplectic action functional as the Lagrangian. We show that the partition functions obtained using these two Lagrangians agree, and we identify the semiclassical formula for the partition function defined using the symplectic action functional. We also compute the semiclassical formulas for the partition functions obtained using the two different Lagrangians: the Chern–Simons functional and the symplectic action functional.

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Obaidullah, U., and Sameerah Jamal. "pp-wave potential functions: A complete study using Noether symmetries." International Journal of Geometric Methods in Modern Physics 18, no. 07 (March 18, 2021): 2150108. http://dx.doi.org/10.1142/s0219887821501085.

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In this paper, we examine the functional forms of the potentials [Formula: see text] that emerge from the Lagrangian of the pp-wave spacetime. To facilitate this investigation, Noether symmetries are employed as well as their linear combinations and subalgebras. We exploit the geometric fact that Noether point symmetries of geodesic Lagrangians are generated from the Homothetic algebra of spacetimes. Thus, we provide a complete analysis of the potentials of this spacetime, which are split into 14 isometry categories.

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Dissertations / Theses on the topic "Lagrangian functions"

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Brown, Jeffrey W. "Lagrangian field observations of rip currents." Access to citation, abstract and download form provided by ProQuest Information and Learning Company; downloadable PDF file, 133 p, 2008. http://proquest.umi.com/pqdweb?did=1633772921&sid=6&Fmt=2&clientId=8331&RQT=309&VName=PQD.

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Lai, Shih-yih. "Lagrangian relaxation and discrete optimization problems /." Digital version accessible at:, 1999. http://wwwlib.umi.com/cr/utexas/main.

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Hare, Warren L. "The Quadratic Sub-Lagrangian of prox-regular functions." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp01/MQ60128.pdf.

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Yolcu, Türkay. "Parabolic systems and an underlying Lagrangian." Atlanta, Ga. : Georgia Institute of Technology, 2009. http://hdl.handle.net/1853/29760.

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Thesis (Ph.D)--Mathematics, Georgia Institute of Technology, 2010.<br>Committee Chair: Gangbo, Wilfrid; Committee Member: Chow, Shui-Nee; Committee Member: Harrell, Evans; Committee Member: Swiech, Andrzej; Committee Member: Yezzi, Anthony Joseph. Part of the SMARTech Electronic Thesis and Dissertation Collection.

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Zhou, Long. "Mesoscale variability and Lagrangian statistics in the tropical North Atlantic /." View online ; access limited to URI, 2009. http://digitalcommons.uri.edu/dissertations/AAI3401129.

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Uygun, Adnan. "Network interdiction by Lagrangian relaxation and branch-and-bound." Thesis, Monterey, Calif. : Springfield, Va. : Naval Postgraduate School ; Available from National Technical Information Service, 2002. http://library.nps.navy.mil/uhtbin/hyperion-image/02Jun%5FUygun.pdf.

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Song, Qiang. "Non-euler-lagrangian pareto-optimality conditions for dynamic multiple-criterion decision problems." Diss., Georgia Institute of Technology, 1997. http://hdl.handle.net/1853/24920.

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Yolcu, Türkay. "Parabolic systems and an underlying Lagrangian." Diss., Georgia Institute of Technology, 2009. http://hdl.handle.net/1853/29760.

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In this thesis, we extend De Giorgi's interpolation method to a class of parabolic equations which are not gradient flows but possess an entropy functional and an underlying Lagrangian. The new fact in the study is that not only the Lagrangian may depend on spatial variables, but also it does not induce a metric. Assuming the initial condition is a density function, not necessarily smooth, but solely of bounded first moments and finite "entropy", we use a variational scheme to discretize the equation in time and construct approximate solutions. Moreover, De Giorgi's interpolation method is rev

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Silverberg, Jon P. "On Lagrangian meshless methods in free-surface flows." Thesis, (1.7 MB), 2005. http://edocs.nps.edu/AR/topic/theses/2005/Jan/05Jan_Silverberg.pdf.

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Thesis (Master of Engineering in Ocean Engineering)--University of California at Berkeley, 2004.<br>"January 2005." Description based on title screen as viewed on May 25, 2010. DTIC Descriptor(s): Fluid Dynamics, Lagrangian Functions, Equations Of Motion, Acceleration, Formulations, Grids, Continuum Mechanics, Gaussian Quadrature, Derivatives (Mathematics), Compact Disks, Boundary Value Problems, Polynomials, Interpolation, Pressure, Operators (Mathematics). DTIC Identifier(s): Multimedia (CD-Rom), Moving Grids, Meshless Discretization, Lifs (Lagrange Implicit Fraction Step), Lagrangian Dynami

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Almesallmy, Mohammed. "Experimental and analytical investigation of inertial propulsion mechanisms and motion simulation of rigid-multi-body mechanical systems /." View online ; access limited to URI, 2006. http://0-digitalcommons.uri.edu.helin.uri.edu/dissertations/3239899.

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Books on the topic "Lagrangian functions"

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Brizard, Alain Jean. An introduction to Lagrangian mechanics. Hackensack, NJ: World Scientific, 2008.

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Brizard, Alain Jean. An introduction to Lagrangian mechanics. Hackensack, NJ: World Scientific, 2008.

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Deriglazov, Alexei. Classical mechanics: Hamiltonian and Lagrangian Formalism. Berlin: Springer Verlag, 2010.

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Rubinstein, Robert. Effects of helicity on Lagrangian and Eulerian time correlations in turbulence. Hampton, VA: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1998.

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Abasov, T. M. Modifit︠s︡irovannye funkt︠s︡ii Lagranzha v zadachakh otyskanii︠a︡ sedlovykh tochek. Baku: Ėlm, 1989.

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Golʹshteĭn, E. G. Modifit͡s︡irovannye funkt͡s︡ii Lagranzha: Teorii͡a︡ i metody optimizat͡s︡ii. Moskva: "Nauka," Glav. red. fiziko-matematicheskoĭ lit-ry, 1989.

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Akademi͡ia nauk SSSR. Vychislitelʹnyĭ ͡tsentr, ed. Modifi͡tsirovannye funk͡tsii Lagranzha v nelineĭnom programmirovanii. Moskva: V͡TS An SSSR, 1988.

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8

Mušicki, Đorđe. Degenerate systems in generalized mechanics. Beograd: Matematički Institut, 1992.

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Mušicki, Đorđe. Degenerate systems in generalized mechanics. Beograd: Matematički Institut, 1992.

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Ghandehari, Mostafa. Snell's law in normed linear planes. Arlington: Dept. of Mathematics, University of Texas at Arlington, 1997.

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Book chapters on the topic "Lagrangian functions"

1

Grandy, Walter T. "Lagrangian Formulation and Green Functions." In Relativistic Quantum Mechanics of Leptons and Fields, 167–203. Dordrecht: Springer Netherlands, 1991. http://dx.doi.org/10.1007/978-94-011-3302-9_6.

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Salvaña, Mary Lai O., and Marc G. Genton. "Lagrangian Spatio-Temporal Nonstationary Covariance Functions." In Advances in Contemporary Statistics and Econometrics, 427–47. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-73249-3_22.

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Oh, Yong-Geun. "Critical Points of Potential Functions and Floer Cohomology." In Lagrangian Floer Theory and Its Deformations, 223–74. Singapore: Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-97-1798-9_6.

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Schapira, Pierre. "Constructible functions, Lagrangian cycles and computational geometry." In The Gelfand Mathematical Seminars, 1990–1992, 189–202. Boston, MA: Birkhäuser Boston, 1993. http://dx.doi.org/10.1007/978-1-4612-0345-2_12.

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Di Pillo, Gianni, and Stefano Lucidi. "On Exact Augmented Lagrangian Functions in Nonlinear Programming." In Nonlinear Optimization and Applications, 85–100. Boston, MA: Springer US, 1996. http://dx.doi.org/10.1007/978-1-4899-0289-4_7.

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Mishchenko, A. S., V. E. Shatalov, and B. Yu Sternin. "The Asymptotics of Integrals of Rapidly Oscillating Functions with a Complex Phase." In Lagrangian Manifolds and the Maslov Operator, 208–31. Berlin, Heidelberg: Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-61259-6_6.

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Di Pillo, Gianni, and Stefano Lucidi. "Erratum to: On Exact Augmented Lagrangian Functions in Nonlinear Programming." In Nonlinear Optimization and Applications, 369. Boston, MA: Springer US, 1996. http://dx.doi.org/10.1007/978-1-4899-0289-4_25.

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Skiadas, Christos H. "A Lagrangian Approach for the Selection of Growth Functions in Forecasting." In Advances in Stochastic Modelling and Data Analysis, 189–94. Dordrecht: Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-017-0663-6_12.

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Gass, Saul I., and Carl M. Harris. "Lagrangian function." In Encyclopedia of Operations Research and Management Science, 437. New York, NY: Springer US, 2001. http://dx.doi.org/10.1007/1-4020-0611-x_512.

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Rubinov, Alexander, and Xiaoqi Yang. "Augmented Lagrangians." In Lagrange-type Functions in Constrained Non-Convex Optimization, 173–220. Boston, MA: Springer US, 2003. http://dx.doi.org/10.1007/978-1-4419-9172-0_5.

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Conference papers on the topic "Lagrangian functions"

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Gracey, John. "The static potential in the Gribov-Zwanziger Lagrangian." In International Workshop on QCD Green’s Functions, Confinement and Phenomenology. Trieste, Italy: Sissa Medialab, 2010. http://dx.doi.org/10.22323/1.087.0016.

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Cao, Lu, and Weisheng Chen. "Distributed continuous-time optimization based on Lagrangian functions." In 2014 33rd Chinese Control Conference (CCC). IEEE, 2014. http://dx.doi.org/10.1109/chicc.2014.6895931.

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Noack, Matti, Johann Reger, and Jerome Jouffroy. "Adaptive Velocity Estimation for Lagrangian Systems using Modulating Functions." In 2023 IEEE International Conference on Mechatronics (ICM). IEEE, 2023. http://dx.doi.org/10.1109/icm54990.2023.10101935.

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Gu, Linxia, and Ashok V. Kumar. "A Lagrangian Uniform-Mesh Finite Element Method Applied to Problems Governed by Poisson’s Equation." In ASME 2007 International Mechanical Engineering Congress and Exposition. ASMEDC, 2007. http://dx.doi.org/10.1115/imece2007-41282.

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A method is presented for the solution of Poisson’s Equations using a Lagrangian formulation. The interpolation functions are the Lagrangian operation of those used in the classical finite element method, which automatically satisfy boundary conditions exactly even though there are no nodes on the boundaries of the domain. The integration is introduced in an implicit way by using approximated step functions. Classical surface integration terms used in the weak form are unnecessary due to the interpolation function in the Lagrangian formulation. Furthermore, the Lagrangian formulation simplifie

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ABOLHASSANI, JAMSHID, IDEEN SADREHAGHIGHI, SURENDRA TIWARI, and ROBERT SMITH. "Applications of Lagrangian blending functions for grid generation around airplane geometries." In 28th Aerospace Sciences Meeting. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1990. http://dx.doi.org/10.2514/6.1990-9.

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Ma, Yuanwei, Dezhong Wang, Zhilong Ji, and Nan Qian. "Dynamic Correcting Dispersion Parameters of Lagrangian Puff Model in Atmospheric Tracer Experiments." In 2014 22nd International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/icone22-30347.

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In atmospheric dispersion models of nuclear accident, the empirical dispersion coefficients were obtained under certain experiment conditions, which is different from actual conditions. This deviation brought in the great model errors. A better estimation of the radioactive nuclide’s distribution could be done by correcting coefficients with real-time observed value. This reverse problem is nonlinear and sensitive to initial value. Genetic Algorithm (GA) is an appropriate method for this correction procedure. Fitness function is a particular type of objective function to achieving the set goal

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Gopalan, Balaji, Edwin Malkiel, and Joseph Katz. "Lagrangian Motion of Slightly Buoyant Droplets and Fluid Particles in Isotropic Turbulence." In ASME/JSME 2007 5th Joint Fluids Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/fedsm2007-37538.

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The diffusion of slightly buoyant diesel oil droplets in isotropic turbulence is studied using high speed in-line digital holographic cinematography. Diesel fuel droplets with specific gravity 0.85 are injected into a 50×50×70 mm3 sample volume located at the central portion of a nearly isotropic turbulence facility. The turbulence in the sample volume is fully characterized using 2D PIV. Probability density functions of the Lagrangian droplet velocity are very close to a Gaussian distribution, which justifies the use of Taylor’s [1] model to calculate diffusion parameters. Similar to Friedman

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Le Lostec, Nechtan, Philippe Villedieu, and Olivier Simonin. "Comparison Between Grad’s and Quadrature-Based Methods of Moments for the Numerical Simulation of Unsteady Particle-Laden Flows." In ASME 2009 Fluids Engineering Division Summer Meeting. ASMEDC, 2009. http://dx.doi.org/10.1115/fedsm2009-78360.

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We present here a new method of moments for the numerical simulation of particle-laden flows. The closure needed in Eulerian methods relies on writing the kinetic descriptor, the velocity destribution function, as a sum of delta-functions instead of the one-delta-function or close-to-Maxwellian assumption in existing methods. The closure velocity distribution function parameters are computed from the transported moments using a quadrature method. Simulation results are compared to those of a close-to-Maxwellian-based Eulerian method and those of a reference Lagrangian simulation, considering o

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Bof, Nicoletta, Ruggero Carli, and Luca Schenato. "On the performance of consensus based versus Lagrangian based algorithms for quadratic cost functions." In 2016 European Control Conference (ECC). IEEE, 2016. http://dx.doi.org/10.1109/ecc.2016.7810280.

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Coster, J. E., N. Stander, and J. A. Snyman. "Trust Region Augmented Lagrangian Methods With Secant Hessian Updating Applied to Structural Optimization." In ASME 1996 Design Engineering Technical Conferences and Computers in Engineering Conference. American Society of Mechanical Engineers, 1996. http://dx.doi.org/10.1115/96-detc/dac-1461.

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Abstract The problem of determining the optimal sizing design of truss structures is considered. An augmented Lagrangian optimization algorithm which uses a quadratic penalty term is formulated. The implementation uses a first-order Lagrange multiplier update and a strategy for progressively increasing the accuracy with which the bound constrained minimizations are performed. The allowed constraint violation is also progressively decreased but at a slower rate so as to prevent ill-conditioning due to large penalty values. Individual constraint penalties are used and only the penalties of the w

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Reports on the topic "Lagrangian functions"

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Quan, Michael, and Steven Walton. Arbitrary-order Bernstein basis functions for Lagrangian Hydrodynamics. Office of Scientific and Technical Information (OSTI), August 2022. http://dx.doi.org/10.2172/1883100.

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Liu and Nixon. L52305 Probabilistic Analysis of Pipeline Uplift Resistance. Chantilly, Virginia: Pipeline Research Council International, Inc. (PRCI), June 2010. http://dx.doi.org/10.55274/r0000002.

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To investigate the feasibility of probabilistic analyses of the peak uplift resistance in frozen soils by varying parameters that are known to be important for the development of the uplift resistance under the upward movement of a pipe. A buried pipeline will be subjected to a variety of forces, both internal and external, including the interaction of the pipe with the surrounding soil. The soil-pipe interaction in permafrost regions have to account for the behavior of frozen and unfrozen soil, and transitions between the two as the pipeline traverses in a discontinuous permafrost zone. The v

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Russo, David, and William A. Jury. Characterization of Preferential Flow in Spatially Variable Unsaturated Field Soils. United States Department of Agriculture, October 2001. http://dx.doi.org/10.32747/2001.7580681.bard.

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Preferential flow appears to be the rule rather than the exception in field soils and should be considered in the quantitative description of solute transport in the unsaturated zone of heterogeneous formations on the field scale. This study focused on both experimental monitoring and computer simulations to identify important features of preferential flow in the natural environment. The specific objectives of this research were: (1) To conduct dye tracing and multiple tracer experiments on undisturbed field plots to reveal information about the flow velocity, spatial prevalence, and time evol

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