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Quadrature Integration Techniques for Random Hyperbolic PDE Problems

open access: yesMathematics, 2021
In this paper, we consider random hyperbolic partial differential equation (PDE) problems following the mean square approach and Laplace transform technique. Randomness requires not only the computation of the approximating stochastic processes, but also
Rafael Company   +2 more
doaj   +1 more source

Inversion of the Laplace transform from the real axis using an adaptive iterative method [PDF]

open access: yes, 2009
In this paper a new method for inverting the Laplace transform from the real axis is formulated. This method is based on a quadrature formula. We assume that the unknown function $f(t)$ is continuous with (known) compact support.
Indratno, Sapto W., Ramm, A. G.
core   +8 more sources

Generalized Averaged Gauss Quadrature Rules: A Survey

open access: yesMathematics
Consider the problem of approximating an integral of a real-valued integrand on a real interval by a Gauss quadrature rule. The classical approach to estimate the quadrature error of a Gauss rule is to evaluate an associated Gauss–Kronrod rule and ...
Dušan L. Djukić   +3 more
doaj   +1 more source

ERROR BOUNDS FOR SURFACE AREA ESTIMATORS BASED ON CROFTON’S FORMULA

open access: yesImage Analysis and Stereology, 2011
According to Crofton's formula, the surface area S(A) of a sufficiently regular compact set A in Rd is proportional to the mean of all total projections pA (u) on a linear hyperplane with normal u, uniformly averaged over all unit vectors u.
Markus Kiderlen, Daniel Meschenmoser
doaj   +1 more source

Interpolatory Quadrature Rules for Oscillatory Integrals [PDF]

open access: yesJournal of Scientific Computing, 2012
In this paper we revisit some quadrature methods for highly oscillatory integrals of the form $\int_{-1}^1f(x)e^{{\rm i} x}dx, >0$. Exponentially Fitted (EF) rules depend on frequency dependent nodes which start off at the Gauss-Legendre nodes when the frequency is zero and end up at the endpoints of the integral when the frequency tends to ...
Ledoux, Veerle, Van Daele, Marnix
openaire   +2 more sources

Graphical rule of transforming continuous-variable graph states by local homodyne detection

open access: yes, 2010
Graphical rule, describing that any single-mode homodyne detection turns a given continuous-variable (CV) graph state into a new one, is presented. Employing two simple graphical rules: local complement operation and vertex deletion (single quadrature ...
Zhang, Jing
core   +1 more source

Generation and application of multivariate polynomial quadrature rules

open access: yes, 2017
The search for multivariate quadrature rules of minimal size with a specified polynomial accuracy has been the topic of many years of research. Finding such a rule allows accurate integration of moments, which play a central role in many aspects of ...
Jakeman, John D., Narayan, Akil
core   +1 more source

A Gauss-Jacobi Kernel Compression Scheme for Fractional Differential Equations

open access: yes, 2018
A scheme for approximating the kernel $w$ of the fractional $\alpha$-integral by a linear combination of exponentials is proposed and studied.
Baffet, Daniel
core   +1 more source

Quadrature Kalman filter–based state of charge estimation for lithium-ion battery

open access: yesAdvances in Mechanical Engineering, 2020
This article presents an approach to lithium-ion battery state of charge estimation based on the quadrature Kalman filter. Among the existing state of charge estimation approaches, the extended Kalman filter–based state of charge and unscented filter ...
Mengtao Huang   +4 more
doaj   +1 more source

Improved bounds and high-accuracy estimates for remaining life expectancy via quadrature rule-based methods

open access: yesDemographic Research, 2023
Background: Previous research has derived bounds on the remaining life expectancy function e(x) that connect survivorship and remaining life expectancy at two age values and therefore can be used to, among other things, estimate life expectancy at birth ...
Oscar Fernandez
doaj   +1 more source

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