Results 141 to 150 of about 4,846 (246)

Quadrature and cubature formulae with high oscillation

, 2009
In the present work we study aproximation methods for values of integrals with strongly oscillating integrand. It's typical that the integrand can be split into two factors such that one is a rapidly oscillating function and the other is a smooth ...
Gregor, Luděk
core  

A nonstandard optimal control problem arising in an economics application: for royalty payment with piecewise function

, 2018
A current Optimal Control (OC) problem in the region of financial aspects has numerical properties that do not fall into the standard OC problem formulation.
Wan Ahmad, Wan Noor Afifah
core  

An Efficient Quadrature Rule for Highly Oscillatory Integrals with Airy Function

In this work, our primary focus is on the numerical computation of highly oscillatory integrals involving the Airy function. Specifically, we address integrals of the form ∫0bxαf(x)Ai(−ωx)dx over a finite or semi-infinite interval ...
Zhenhua Xu, Guidong Liu, Bin Li
core   +1 more source

Integral Representations of Riemann auxiliary function

We prove that the auxiliary function $\mathop{\mathcal R}(s)$ has the integral representation \[\mathop{\mathcal R}(s)=-\frac{2^s π^{s}e^{πi s/4}}{Γ(s)}\int_0^\infty y^{s}\frac{1-e^{-πy^2+πωy}}{1-e^{2πωy}}\,\frac{dy}{y},\qquad ω=e^{πi/4}, \quad\Re s>0,\]
de Reyna, Juan Arias
core  

On the convergence of filon quadrature

, 2008
We analyze the convergence behavior of Filon-type quadrature rules by making ex- plicit the dependence on both k, the parameter that controls the oscillatory behav- ior of the integrand, and n, the number of function evaluations.
Melenk, Jens Markus
core  

On the Open TS/ST Correspondence. [PDF]

Commun Math Phys
François M, Grassi A.
europepmc   +1 more source

Quasi-integrability from [Formula: see text]-symmetry. [PDF]

Sci Rep
Abhinav K, Guha P, Mukherjee I.
europepmc   +1 more source

On basic properties of convex functions and convex integrands

Hokkaido Mathematical Journal, 1989
openaire   +3 more sources

A Novel NPT Thermodynamic Integration Scheme to Derive Rigorous Gibbs Free Energies for Crystalline Solids. [PDF]

J Chem Theory Comput
De Witte KLK, Braeckevelt T, Bocus M, Vandenhaute S, Van Speybroeck V.   +4 more
europepmc   +1 more source

Quantile index predictors using R package hyper.gam. [PDF]

Bioinformatics
Zhan T, Yi M, Chervoneva I.
europepmc   +1 more source