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Uniform representation of the incomplete beta function in terms of elementary functions
(Kent State UniversityJohann Radon Institute (RICAM), 2018)
info:eu-repo/semantics/article,
We consider the incomplete beta function Bz(a, b) in the maximum domain of analyticity of its three variables: a, b, z ∈ C, −a /∈ N, z /∈ [1, ∞). For <b ≤ 1 we derive a convergent expansion of z−aBz(a, b) in terms of the ...
Singular reduction of resonant Hamiltonians
(IOP PublishingLondon Mathematical Society, 2018)
Artículo / Artikulua,
We investigate the dynamics of resonant Hamiltonians with n degrees of freedom to which we attach a small perturbation. Our study is based on the geometric interpretation of singular reduction theory. The flow of the ...
An efficient numerical method for singularly perturbed time dependent parabolic 2D convection-diffusion systems
(Elsevier, 2018)
info:eu-repo/semantics/article,
In this paper we deal with solving efficiently 2D linear parabolic singularly perturbed systems of convection–diffusion type. We analyze only the case of a system of two equations where both of them feature the same diffusion ...
An extension of the multiple Erdélyi-Kober operator and representations of the generalized hypergeometric functions
(De Gruyter, 2018)
info:eu-repo/semantics/article,
In this paper we investigate the extension of the multiple Erd elyi-Kober
fractional integral operator of Kiryakova to arbitrary complex values of parameters
by the way of regularization. The regularization involves ...
A note on the asymptotic expansion of the Lerch’s transcendent
(Taylor & Francis, 2018)
info:eu-repo/semantics/article,
In Ferreira and López [Asymptotic expansions of the Hurwitz–Lerch zeta function. J Math Anal Appl. 2004;298(1):210–224], the authors derived an asymptotic expansion of the Lerch's transcendent Φ(z,s,a) for large |a|, valid ...
Order barrier for low-storage DIRK methods with positive weights
(Springer, 2018)
Artículo / Artikulua,
In this paper we study an order barrier for low-storage diagonally implicit Runge-Kutta (DIRK) methods with positive weights. The Butcher matrix for these schemes, that can be implemented with only two memory registers in ...
Educational games to enhance museum visits for schools
(National Taiwan Normal University, 2018)
info:eu-repo/semantics/article,
Museums usually look for new educational tools to enhance their exhibition. The Oteiza's museum in Navarre (Spain) especially gives importance to the dissemination of Jorge Oteiza's work to children at schools. Consequently, ...
Eventual consistency: origin and support
(Slovak Academy of Sciences, Institute of Informatics, 2018)
info:eu-repo/semantics/article,
Eventual consistency is demanded nowadays in geo-replicated services that need to be highly scalable and available. According to the CAP constraints, when network partitions may arise, a distributed service should choose ...
Optimal monotonicity-preserving perturbations of a given Runge–Kutta method
(Springer, 2018)
info:eu-repo/semantics/article,
Perturbed Runge–Kutta methods (also referred to as downwind Runge–Kutta methods) can guarantee monotonicity preservation under larger step sizes relative to their traditional Runge–Kutta counterparts. In this paper we study ...
Decoupling mixed finite elements on hierarchical triangular grids for parabolic problems
(Elsevier, 2018)
info:eu-repo/semantics/article,
In this paper, we propose a numerical method for the solution of time-dependent flow problems in mixed form. Such problems can be efficiently approximated on hierarchical grids, obtained from an unstructured coarse ...