Search results for "symbolic"
showing 10 items of 449 documents
Euler integral as a source of chaos in the three–body problem
2022
In this paper we address, from a purely numerical point of view, the question, raised in [20, 21], and partly considered in [22, 9, 3], whether a certain function, referred to as "Euler Integral", is a quasi-integral along the trajectories of the three-body problem. Differently from our previous investigations, here we focus on the region of the "unperturbed separatrix", which turns to be complicated by a collision singularity. Concretely, we reduce the Hamiltonian to two degrees of freedom and, after fixing some energy level, we discuss in detail the resulting three-dimensional phase space around an elliptic and an hyperbolic periodic orbit. After measuring the strength of variation of the…
Hermite interpolation: The barycentric approach
1991
The barycentric formulas for polynomial and rational Hermite interpolation are derived; an efficient algorithm for the computation of these interpolants is developed. Some new interpolation principles based on rational interpolation are discussed.
Numerical Study of Two Sparse AMG-methods
2003
A sparse algebraic multigrid method is studied as a cheap and accurate way to compute approximations of Schur complements of matrices arising from the discretization of some symmetric and positive definite partial differential operators. The construction of such a multigrid is discussed and numerical experiments are used to verify the properties of the method.
Mellin transform approach for the solution of coupled systems of fractional differential equations
2015
In this paper, the solution of a multi-order, multi-degree-of-freedom fractional differential equation is addressed by using the Mellin integral transform. By taking advantage of a technique that relates the transformed function, in points of the complex plane differing in the value of their real part, the solution is found in the Mellin domain by solving a linear set of algebraic equations. The approximate solution of the differential (or integral) equation is restored, in the time domain, by using the inverse Mellin transform in its discretized form.
"Table 26" of "Measurement of the Collins and Sivers asymmetries on transversely polarised protons"
2007
The COLLINS asymmetry for negatively charged hadrons as a function of W for X < 0.032.
"Table 22" of "Measurement of the Collins and Sivers asymmetries on transversely polarised protons"
2007
The COLLINS asymmetry for negatively charged hadrons as a function of W for X > 0.032.
"Table 30" of "Measurement of the Collins and Sivers asymmetries on transversely polarised protons"
2007
The COLLINS asymmetry for negatively charged hadrons as a function of X for W > 7.5 GeV.
"Table 34" of "Measurement of the Collins and Sivers asymmetries on transversely polarised protons"
2007
The COLLINS asymmetry for negatively charged hadrons as a function of X for W < 7.5 GeV.
"Table 25" of "Measurement of the Collins and Sivers asymmetries on transversely polarised protons"
2007
The COLLINS asymmetry for positively charged hadrons as a function of W for X < 0.032.
"Table 21" of "Measurement of the Collins and Sivers asymmetries on transversely polarised protons"
2007
The COLLINS asymmetry for positively charged hadrons as a function of W for X > 0.032.