Results 1 to 10 of about 884,568 (273)
An adaptive hybrid quadrature scheme: Combining Simpson's rule and Gaussian quadrature for enhanced numerical integration. [PDF]
PLoS ONEThis study develops a novel adaptive hybrid quadrature that combines Simpson's 1/3 rule with Gauss-Legendre quadrature to overcome the classical difficulties in performing numerical integration.
Abadi Abraha Asgedom +1 more
doaj +2 more sources
A Perturbed Milne’s Quadrature Rule for n-Times Differentiable Functions with Lp-Error Estimates
Axioms, 2023 In this work, a perturbed Milne’s quadrature rule for n-times differentiable functions with Lp-error estimates is derived. One of the most important advantages of our result is that it is verified for p-variation and Lipschitz functions.
Ayman Hazaymeh +4 more
doaj +1 more source
Some Generalized Error Inequalities and Applications
Journal of Inequalities and Applications, 2008 We present a family of four-point quadrature rule, a generalization of Gauss-two point, Simpson's 3/8, and Lobatto four-point quadrature rule for twice-differentiable mapping.
Nazir Ahmad Mir, Fiza Zafar
doaj +2 more sources
DEVELOPMENT AND TESTING OF THE MODIFIED SIMPSON’S RULE FOR DISCRETE ORDINATES TRANSPORT APPLICATIONS [PDF]
EPJ Web of Conferences, 2021 A new angular quadrature type termed Modified Simpson Trapezoidal (MST) is developed based on the conventional Simpson’s 1/3 rule where the angular pattern over polar levels has a trapezoid shape. An adaptive coefficient correction scheme is developed to
Hu Xiaoyu, Azmy Yousry Y.
doaj +1 more source
Szegő Quadrature Kalman Filter for Oscillatory Systems
IEEE Access, 2020 Filtering problems with oscillatory system dynamics commonly appear in real-life. However, the existing Gaussian filters, like the unscented Kalman filter (UKF), cubature Kalman filter CKF, Gauss-Hermite filter (GHF) and cubature quadrature Kalman filter
Abhinoy Kumar Singh
doaj +1 more source
Stress-driven Approach to Vibrational Analysis of FGM Annular Nano-plate based on First-order Shear Deformation Plate Theory [PDF]
Journal of Applied and Computational Mechanics, 2023 Vibrational behavior of small-scale functionally graded annular plate based on the first-order shear deformation theory, and non-local stress-driven model is investigated.
Mojtaba Shariati +2 more
doaj +1 more source
Fractal and Fractional, 2021 This paper introduces an efficient numerical scheme for solving a significant class of fractional differential equations. The major contributions made in this paper apply a direct approach based on a combination of time discretization and the Laplace ...
Samaneh Soradi-Zeid +2 more
doaj +1 more source
A high-precision hypersingular quadrature formula of order seven for analytic functions [PDF]
Computational Algorithms and Numerical DimensionsIn our study, we undertake the evaluation of a hyper-singular integral of the form using quadrature rules with a precision degree of 5. It's recognized that ordinary quadrature rules may not be suitable for hyper-singular integrals, as they typically ...
Bibhuranjan Nayak +2 more
doaj +1 more source
A Class of Quadrature Rules for Complex Cauchy Principal Value Integrals [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2023 This article is fully devoted to the numerical approximation of Cauchy-type integrals in the complex plane. A class of degree eight quadrature rules is formulated from a family of Gauss-type two-point rules based on the method of extrapolation. The basic
Arup Kumar Saha +2 more
doaj +1 more source
SoftwareX, 2022 We present a C++ package entitled 1D Controlled Source Electromagnetic Method using Quadrature With Extrapolation (1DCSEMQWE), which computes the electromagnetic field for a one-dimensional model in geophysics.
Pham Ngoc Kien, Sang-Mook Lee
doaj +1 more source