In-Phase/Quadrature Signatures of a Very LowFrequency Electromagnetic Survey for the Delineation of Cassiterite at Rafin Bareda, DutsenWai, Kaduna State, Nigeria [PDF]
The VLF-EM geophysical technique was used to delineate the zones of cassiterite at Rafin Bareda, Dutsen-Wai, Kubau Local Government area of Kaduna State, Nigeria which is located at Latitudes 10°51'46''N and Longitudes18°12'50''E.
Micah Adamu +2 more
doaj +1 more source
On classical symmetries of ordinary differential equations related to stationary integrable partial differential equations [PDF]
We study the relationship between the solutions of stationary integrable partial and ordinary differential equations and coefficients of the second-order ordinary differential equations invariant with respect to one-parameter Lie group.
Ivan Tsyfra
doaj +1 more source
A hierarchical Bayesian approach for calibration of stochastic material models
This article recasts the traditional challenge of calibrating a material constitutive model into a hierarchical probabilistic framework. We consider a Bayesian framework where material parameters are assigned distributions, which are then updated given ...
Nikolaos Papadimas, Timothy Dodwell
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Fully Legendre spectral collocation technique for stochastic heat equations
For the stochastic heat equation (SHE), a very accurate spectral method is considered. To solve the SHE, we suggest using a shifted Legendre Gauss–Lobatto collocation approach in combination with a shifted Legendre Gauss–Radau collocation technique.
Abdelkawy Mohamed A. +3 more
doaj +1 more source
DEVELOPMENT AND TESTING OF THE MODIFIED SIMPSON’S RULE FOR DISCRETE ORDINATES TRANSPORT APPLICATIONS [PDF]
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.
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Exactness of Quadrature Formulas [PDF]
The standard design principle for quadrature formulas is that they should be exact for integrands of a given class, such as polynomials of a fixed degree. We show how this principle fails to predict the actual behavior in four cases: Newton-Cotes, Clenshaw-Curtis, Gauss-Legendre, and Gauss-Hermite quadrature.
openaire +2 more sources
A randomized trapezoidal quadrature [PDF]
A randomised trapezoidal quadrature rule is proposed for continuous functions which enjoys less regularity than commonly required. Indeed, we consider functions in some fractional Sobolev space. Various error bounds for this randomised rule are established while an error bound for classical trapezoidal quadrature is obtained for comparison.
openaire +2 more sources
RBF Based Quadrature on the Sphere
The paper describes a new RBF-FD based technique to compute quadrature weights on the sphere. In the proposed method, the sphere is divided into rectangles in the latitude-azimuth coordinate system, and the function is integrated over each rectangle ...
Kindelan Manuel +2 more
doaj +1 more source
Legendre Spectral Collocation Technique for Advection Dispersion Equations Included Riesz Fractional
The advection–dispersion equations have gotten a lot of theoretical attention. The difficulty in dealing with these problems stems from the fact that there is no perfect answer and that tackling them using local numerical methods is tough.
Mohamed M. Al-Shomrani +1 more
doaj +1 more source
This article presents the design and optimization of a tunable quadrature differential LC CMOS voltage-controlled oscillator (VCO) with a D flip-flop (DFF) frequency divider.
Muhammad Faisal Siddiqui +3 more
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