Modelling of the effects of thermal gradients on optical propagation in polymer multimode tapered waveguides in optical backplanes [PDF]
Finite difference beam propagation modelling (FD-BPM) calculates the effect of thermal gradients in an optical backplane on the optical field propagation in a polymer multimode linearly tapered waveguide.
Rashed, A.M., Selviah, D.R.
core
Use of the Padé Approximant in solution to a model of vortex shedding [PDF]
The diffusive form of the Van der Pol Oscillator equation may be used to model near-wake dynamics of slender bluff bodies. This model is achieved by a continuous distribution of the equation across the spanwise direction.
Afsar, Mohammed, Johnston, Daniel
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Finite — T topological susceptibility with heavy quarks
Axion cosmology needs the QCD topological susceptibility between 400 and 1100 MeV. In this range the bottom quark is inconvenient to include in lattice simulations, but not heavy enough to ignore. We estimate its effect on the susceptibility by computing
Bruno Högl, Guy D. Moore
doaj +1 more source
Remainder Padé approximants for hypergeometric series
International audienceRemainder Padé Approximation (RPA) consists in adding to the n-th partial sum of a series a suitable Padé approximant of the asymptotic expansion in the variable 1/n of the remainder term.
Rivoal, Tanguy, Prévost, Marc
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Propiedades asintóticas de polinomios ortogonales variantes y aproximación racional [PDF]
Se trata de extender los resultados conocidos sobre comportamiento asintótico de polinomios ortogonales con respecto a medidas variantes y utilizarlos para resolver problemas de la teoría de la aproximación racional de funciones analíticas.
Calle Ysern, Bernardo de la
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Minimal vector Padé approximation [PDF]
We describe the minimal vector Padé approximation problem, which consists in finding Padé approximants with a common denominator for a number of series.
Bultheel, Adhemar, Van Barel, Marc
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Padé-approximant corrections to general variational expressions of scattering theory: Application to 5σ photoionization of carbon monoxide [PDF]
We discuss a method for systematically correcting results obtained using variational expressions in scattering theory. The approach taken is to compute a sequence of Padé approximants of the form [N/N] for the error in an initial variational estimate ...
McKoy, Vincent, Lucchese, Robert R.
core
Invariance properties in Hermite-Padé approximation theory [PDF]
The Padé approximant is invariant under both linear fractional transformations of the function value and linear fractional transformations (origin fixed) of the argument.
Baker, George A.
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Analytic continuation by reproducing kernel methods combined with Padé approximations [PDF]
The analytic continuation of power series is an old problem attacked by various methods, a notable one being the Padé approximant. Although quite powerful in some cases, the Padé approximant suffers sometimes from being a non-linear transformation.
Devooght, J., Devooght, Jacques
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On the structure of the Newton-Padé table [PDF]
In [1] the concept of minimal solution in the study of the Newton-Padé table was introduced, and its relationship with the Newton-Padé approximant was investigated.
Claessens, G
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