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Analytical Planetary solution VSOP2000

Celestial Mechanics and Dynamical Astronomy, 2001
The analytical planetary solution VSOP2000 determines the planetary perturbations with the help of an iterative method from a solution developed till the third order of the disturbing masses. This solution is from 10 to 100 times more precise than the previous analytical solutions VSOP82 and VSOP87, at the level of some 0.1 mas for Mercury, Venus and ...
Moisson, Xavier, Bretagnon, Pierre
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Analytic Solutions of Systems

Journal of Dynamical and Control Systems, 2002
The authors present functional series solutions to a nonlinear analytical system for the unknown state variable, and functional series solutions to analytic infinite-dimensional linear systems. Both systems are solved by the SWSE (Summing weighted sequential error) method.
Stefanovski, J., Trenčevski, K.
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Rational Interpolation: Analytical Solution

Siberian Mathematical Journal, 2001
Summary: The classical problem of interpolation by rational functions is well known to be reduced to a system of linear algebraic equations, but the resultant system is usually complicated for qualitative analysis and numerical implementation. We propose a new approach which generalizes the polynomial interpolation to the rational interpolation both in
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Analytical Solution Methods

2013
This chapter focuses on analytical solutions for the powersplit control problem defined in the previous chapter. Two well known solution concepts will be considered: the method of Lagrange multipliers and Pontryagin’s Minimum Principle. Both concepts have in common that they obtain the necessary conditions for an optimal solution by evaluating where ...
Bram de Jager   +2 more
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Poroelastic-plastic consolidation — analytical solution

International Journal for Numerical and Analytical Methods in Geomechanics, 1999
Consolidation of a poroelastic material that yields according to Drucker-Prager or Mohr-Coulomb criterion leads to a Stefan problem for time-dependent pore fluid pressure. The solution to the Stefan problem for a column of infinite depth is known and is here adapted to poroelastic/plastic consolidation of a weightless material under a uniform surface ...
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Analytical Methods Of Solution

1969
The theory developed in the previous chapters shows that the study of the linearized Boltzmann equation is a worthwhile undertaking and that many of the features of its solutions can be retained by using model equations. We can say more, that practically all the features are retained by a properly chosen model.
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Classical Analytical Solutions

2011
Reversible binding to one site can be calculated with analytical solutions. On the basis of these formulas, data can be transformed to appear linear. Straight lines of equilibrium-binding studies in double reciprocal plots or of enzyme kinetics in Lineweaver-Burk plots or of dissociation kinetics in half logarithmic plots indicate simple mechanisms ...
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Analytical Solutions

2013
L. M. Abadie, J. M. Chamorro
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Analytical Solution Methods

2014
Integral, or integro-differential equations representing electroanalytical models can rarely be solved analytically. However, in cases when analytical solutions are possible, they usually prove useful. Known analytical solution methods involve: solutions in the form of integrals, power series expansions, exponential series expansions, successive ...
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Analytic Solutions

2022
Ievgen Dubovyk   +2 more
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