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Books on the topic 'Lagrangian equations of motion'

Author: Grafiati

Published: 4 June 2021

Last updated: 9 February 2022

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1

Draxler, Roland R. Hybrid single-particle Lagrangian integrated trajectories (HY-SPLIT): Model description. U.S. Dept. of Commerce, National Oceanic and Atmospheric Administration, Environmental Research Laboratories, 1988.

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2

Draxler, Roland R. Hybrid single-particle Lagrangian integrated trajectories (HY-SPLIT): Model description. U.S. Dept. of Commerce, National Oceanic and Atmospheric Administration, Environmental Research Laboratories, 1988.

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3

Draxler, Roland R. Hybrid single-particle Lagrangian integrated trajectories (HY-SPLIT): Model description. U.S. Dept. of Commerce, National Oceanic and Atmospheric Administration, Environmental Research Laboratories, 1988.

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4

Draxler, Roland R. Hybrid single-particle Lagrangian integrated trajectories (HY-SPLIT): Model description. U.S. Dept. of Commerce, National Oceanic and Atmospheric Administration, Environmental Research Laboratories, 1988.

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5

Draxler, Roland R. Hybrid single-particle Lagrangian integrated trajectories (HY-SPLIT): Model description. U.S. Dept. of Commerce, National Oceanic and Atmospheric Administration, Environmental Research Laboratories, 1988.

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6

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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7

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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8

Zalzala, A. M. S. A distributed pipelined architecture of the recursive Lagrangian equations of motion for robot manipulators with VLSI implementation. University of Sheffield, Dept. of Control Engineering, 1989.

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9

Meĭrmanov, A. M. Evolution equations and Lagrangian coordinates. Walter de Gruyter, 1997.

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10

Bennett, Andrew F. Lagrangian fluid dynamics. Cambridge University Press, 2005.

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11

Lagrangian and Hamiltonian mechanics. World Scientific, 1996.

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12

Maslov classes, metaplectic representation and lagrangian quantization. Akademie Verlag, 1997.

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13

E, Shatalov V., and Sternin B. I͡U︡, eds. Lagrangian manifolds and the Maslov operator. Springer-Verlag, 1990.

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14

McDonald, Aidan. The origin of noise in semi-Lagrangian integrations. Met Éireann, 1998.

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15

Bernard, Silvestre-Brac, and SpringerLink (Online service), eds. Solved Problems in Lagrangian and Hamiltonian Mechanics. Springer Netherlands, 2009.

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16

Gaffen, D. J. Application of a Lagrangian dispersion model to environmental problems. Von Karman Institute for Fluid Dynamics, 1985.

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17

Borgers, Christoph. A Lagrangian fractional step method for the incompressible Navier-Stokes equations. Courant Institute of Mathematical Sciences, New York University, 1985.

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18

Ho, Lee-Wing. A high-order Lagrangian-decoupling method for the incompressible Navier-Stokes equations. ICASE, 1989.

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19

Lagrangian and Hamiltonian mechanics: Solutions to the exercises. World Scientific, 1999.

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20

Monk, Kristina B. Semi-Lagrangian, semi-implicit solutions of the shallow water equations in one dimension. Naval Postgraduate School, 1989.

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21

Moody, John A. Evaluation of the Lagrangian scheme for sampling the Mississippi River during 1987-90. U.S. Dept. of the Interior, U.S. Geological Survey, 1993.

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22

Rheinfurth, M. Space station rotational equations of motion. National Aeronautics and Space Administration, Scientific and Technical Information Branch, 1985.

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23

1953-, Futamase Toshifumi, and Hogan, P. A. (Peter A.), eds. Equations of motion in general relativity. Oxford University Press, 2011.

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24

Boccaletti, Dino. Galileo and the Equations of Motion. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-20134-4.

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25

Puetzfeld, Dirk, Claus Lämmerzahl, and Bernard Schutz, eds. Equations of Motion in Relativistic Gravity. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-18335-0.

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26

R, Rodrigues Paulo, ed. Generalized classical mechanics and field theory: A geometrical approach of Lagrangian and Hamiltonian formalisms involving higher order derivatives. North-Holland, 1985.

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27

Lee, J. H. W. Turbulent jets and plumes: A Lagrangian approach. Kluwer Academic Publishers, 2002.

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28

1942-, Chu Vincent H., ed. Turbulent jets and plumes: A Lagrangian approach. Kluwer Academic Publishers, 2003.

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29

Deissler, Robert G. Turbulent fluid motion III: Basic continuum equations. National Aeronautics and Space Administration, 1991.

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30

Kim, Tujin, and Daomin Cao. Equations of Motion for Incompressible Viscous Fluids. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-78659-5.

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31

Mielke, Alexander. Hamiltonian and Lagrangian flows on center manifolds: With applications to elliptic variational problems. Springer-Verlag, 1991.

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32

Huygens' principle and hyperbolic equations. Academic Press, 1988.

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33

Chen, Robert T. N. Flap-lag equations of motion of rigid, articulated rotor blades with three hinge sequences. National Aeronautics and Space Administration, Ames Research Center, 1987.

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34

Chen, Robert T. N. Flap-lag equations of motion of rigid, articulated rotor blades with three hinge sequences. National Aeronautics and Space Administration, Ames Research Center, 1987.

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35

Francesco, Bullo, and Fujimoto Kenji 1947-, eds. Lagrangian and Hamiltonian methods for nonlinear control 2006: Proceedings from the 3rd IFAC workshop, Nagoya, Japan, July 2006. Springer, 2007.

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36

Ordinary differential equations: Qualitative theory. American Mathematical Society, 2010.

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37

Lentz, TeriAnn. Numerical studies of the beta-effect in tropical cyclone motion using a semi-Lagrangian model. Naval Postgraduate School, 1991.

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38

Paul, Günther. Huygens' principle and hyperbolic equations. Academic Press, 1988.

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39

Henderson, David M. Reference equations of motion for automatic rendevous and capture. National Aeronautics and Space Administration, 1992.

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40

Chakravarthy, Sukumar Raman. Development of upwind schemes for the Euler equations. Langley Research Center, 1987.

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41

Abarbanel, Saul. Compact high order schemes for the Euler equations. ICASE, 1988.

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42

Bendiksen, Oddvar O. Transonic flutter analysis using the Euler equations. AIAA, 1987.

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43

Nestler, John M. Simulating population dynamics in an ecosystem context using Coupled Eulerian-Lagrangian Hybrid Models (CEL HYBRID Models). US Army Corps of Engineers, Engineer Research and Development Center, 2000.

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44

Sternberg, Shlomo. General covariance and the passive equations of physics. the Israel Academy of Sciences and Humanities, 2006.

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45

A, Astolfi, Gordillo Francisco 1964-, Schaft, A. J. van der, and International Federation of Automatic Control, eds. Lagrangian and Hamiltonian methods for nonlinear control 2003: A proceedings volume from the 2nd IFAC Workshop, Seville, Spain, 3-5 April, 2003. Published for the International Federation of Automatic Control by Elsevier, 2003.

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46

IFAC Workshop (2000 Princeton, N.J.). Lagrangian and Hamiltonian methods for nonlinear control: A proceedings volume from the IFAC Workshop, Princeton, New Jersey, USA, 16-18 March 2000. Pergamon, 2000.

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47

Mann, Peter. Constrained Lagrangian Mechanics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0008.

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This chapter builds on the previous two chapters to tackle constrained systems, using Lagrangian mechanics and constrained variations. The first section deals with holonomic constraint equations using Lagrange multipliers; these can be used to reduce the number of coordinates until a linearly independent minimal set is obtained that describes a constraint surface within configuration space, so that Lagrange equations can be set up and solved. Motion is understood to be confined to a constraint submanifold. The variational formulation of non-holonomic constraints is then discussed to derive the

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48

Air Resources Laboratory (U.S.), ed. Hybrid single-particle Lagrangian integrated trajectories (HY-SPLIT): Model description. U.S. Dept. of Commerce, National Oceanic and Atmospheric Administration, Environmental Research Laboratories, 1988.

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49

Mann, Peter. Point Transformations in Lagrangian Mechanics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0009.

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This chapter discusses point transformations in Lagrangian mechanics. Sometimes, when solving problems, it is useful to change coordinates in velocity phase space to better suit and simplify the system at hand; this is a requirement of any physical theory. This change is often motivated by some experimentally observed physicality of the system or may highlight new conserved quantities that might have been overlooked using the old description. In the Newtonian formalism, it was a bit of a hassle to change coordinates and the equations of motion will look quite different. In this chapter, point

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50

Perturbation Theories Evolution Equations And Solitons. Imperial College Press, 2013.

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