Fiorella Barone, Renato Grassini (2003)
Banach Center Publications
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Dirac's generalized Hamiltonian dynamics is given an accurate geometric formulation as an implicit differential equation and is compared with Tulczyjew's formulation of dynamics. From the comparison it follows that Dirac's equation-unlike Tulczyjew's-fails to give a complete picture of the real laws of classical and relativistic dynamics.
A. K. Pogrebkov, I. T. Todorov (1983)
Annales de l'I.H.P. Physique théorique
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R. G. Woolley (1975)
Annales de l'I.H.P. Physique théorique
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J. L. Sanz (1979)
Annales de l'I.H.P. Physique théorique
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G.-H. Cottet, J.-M. Etancelin, F. Perignon, C. Picard (2014)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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This paper is devoted to the definition, analysis and implementation of semi-Lagrangian methods as they result from particle methods combined with remeshing. We give a complete consistency analysis of these methods, based on the regularity and momentum properties of the remeshing kernels, and a stability analysis of a large class of second and fourth order methods. This analysis is supplemented by numerical illustrations. We also describe a general approach to implement these methods...
Huang, Xuncheng, Tu, Guizhang (2006)
International Journal of Mathematics and Mathematical Sciences
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Gerhard Schäfer (1997)
Banach Center Publications
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A post-Newtonian approximation scheme for general relativity is defined using the Arnowitt-Deser-Misner formalism. The scheme is applied to perfect fluids and point-mass systems. The two-body point-mass Hamiltonian is given explicitly up to the post-Newtonian order.
Gupta, V.G., Sharma, P. (2010)
Acta Universitatis Apulensis. Mathematics - Informatics
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Jean-David Benamou, Philippe Hoch (2002)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We describe both the classical lagrangian and the Eulerian methods for first order Hamilton–Jacobi equations of geometric optic type. We then explain the basic structure of the software and how new solvers/models can be added to it. A selection of numerical examples are presented.
De Bièvre, Stephan, Pulé, Joseph V. (1999)
Mathematical Physics Electronic Journal [electronic only]
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Praught, Jeffery, Smirnov, Roman G. (2005)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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