Results 81 to 90 of about 4,075 (228)

Likelihood Estimation for Stochastic Differential Equations with Mixed Effects

Scandinavian Journal of Statistics, EarlyView.
ABSTRACT Stochastic differential equations provide a powerful tool for modelling dynamic phenomena affected by random noise. When time series are observed for several experimental units, it is often the case that some of the parameters vary between the individual experimental units.
Fernando Baltazar‐Larios, Mogens Bladt, Michael Sørensen   +2 more
wiley   +1 more source

Error estimation for quadrature formulas based on equally spaced nodes

Mathematical Modelling and Analysis, 2006
The error estimation for quadrature formulas based on equally spaced nodes is discussed in this paper. The error estimates use embedded formulas and they are obtained for Newton‐Cotes and Hermitian quadrature formulas.
K. Plukas, D. Plukiene
doaj   +1 more source

Repelled Point Processes With Application to Numerical Integration

Scandinavian Journal of Statistics, EarlyView.
ABSTRACT We look at Monte Carlo numerical integration from a stochastic geometry point of view. While crude Monte Carlo estimators relate to linear statistics of a homogeneous Poisson point process (PPP), linear statistics of more regularly spread point processes can yield unbiased estimators with faster‐decaying variance, and thus lower integration ...
Diala Hawat, Gabriel Mastrilli, Rémi Bardenet, Raphaël Lachièze‐Rey   +3 more
wiley   +1 more source

On Multiparameter Post-Quantum Fractional Quadrature Inequalities with Simulation

Fractal and Fractional
This paper introduces a comprehensive class of multiparameter post-quantum fractional quadrature inequalities, unifying classical error bounds within the setting of the post-quantum Riemann–Liouville fractional integral.
Sobia Rafeeq, Sabir Hussain, Mariyam Aslam, Youngsoo Seol   +3 more
doaj   +1 more source

Sharp Integral Inequalities Based on a General Four-Point Quadrature Formula via a Generalization of the Montgomery Identity

International Journal of Mathematics and Mathematical Sciences, 2012
We consider families of general four-point quadrature formulae using a generalization of the Montgomery identity via Taylor’s formula. The results are applied to obtain some sharp inequalities for functions whose derivatives belong to 𝐿𝑝 spaces ...
J. Pečarić, M. Ribičić Penava
doaj   +1 more source

Impact of Intercore Crosstalk on the Transmission Distance of QAM Formats in Multicore Fibers

IEEE Photonics Journal, 2016
We investigate the impact of intercore crosstalk on the achievable transmission distance of three square quadrature amplitude modulation (QAM) formats. We show that increasing intercore crosstalk across an 18 dB range starting from −43.4 dB/100 km
B. J. Puttnam, R. S. Luis, T. A. Eriksson, W. Klaus, J.-M. Delgado Mendinueta, Y. Awaji, N. Wada   +6 more
doaj   +1 more source

Quadrature Formula For Sampled Functions

, 2010
This paper deals with efficient quadrature formulas involving functions that are observed only at fixed sampling points. The approach that we develop is derived from efficient continuous quadrature formulas, such as Gauss-Legendre or Clenshaw-Curtis quadrature.
Minaoui, Khalid, Chonavel, Thierry, Nsiri, Benayad, Aboutajdine, Driss   +3 more
openaire   +2 more sources

Self‐Similar Blowup for the Cubic Schrödinger Equation

Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1831-1918, August 2026.
ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley   +1 more source

Simpson’s quadrature formula for third differentiable and s-convex functions

Boundary Value Problems
This study establishes Newton-type inequalities for third differentiable and s-convex functions that use the Riemann integral. New Newton-type inequalities are also introduced using a summation parameter p ≥ 1 $p\geq 1$ for various convexity cases.
Bouharket Benaissa, Noureddine Azzouz, Mehmet Zeki Sarikaya   +2 more
doaj   +1 more source

Midpoint Derivative-Based Closed Newton-Cotes Quadrature

Abstract and Applied Analysis, 2013
A novel family of numerical integration of closed Newton-Cotes quadrature rules is presented which uses the derivative value at the midpoint. It is proved that these kinds of quadrature rules obtain an increase of two orders of precision over the ...
Weijing Zhao, Hongxing Li
doaj   +1 more source