Results 91 to 100 of about 67,137 (234)
Derivative-Based Midpoint Quadrature Rule
Applied Mathematics, 2013 A new family of numerical integration formula is presented, which uses the function evaluation at the midpoint of the interval and odd derivatives at the endpoints. Because the weights for the odd derivatives sum to zero, the derivative calculations cancel out for the interior points in the composite form, so that these derivatives must only be ...
Clarence O. E. Burg, Ezechiel Degny
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neonSoilFlux: An R package for continuous sensor‐based estimation of soil CO2 fluxes
Methods in Ecology and Evolution, EarlyView.Abstract Accurate quantification of soil carbon fluxes is essential to reduce uncertainty in estimates of the terrestrial carbon sink. However, these fluxes vary over time and across ecosystem types and so, it can be difficult to estimate them accurately across large scales.
John Zobitz +11 more
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MathematicsThis paper presents a fully implicit finite difference scheme for the numerical approximation of a wave equation featuring strong damping and a distributed delay term. The discretization employs second-order accurate approximations in both time and space.
Manal Alotaibi
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Advances in Difference Equations, 2018 Fractional differential equations (FDEs) of distributed-order are important in depicting the models where the order of differentiation distributes over a certain range.
Jiahui Hu, Jungang Wang, Yufeng Nie
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From tetrachoric to kappa: How to assess reliability on binary scales
British Journal of Mathematical and Statistical Psychology, EarlyView.Abstract Reliability is crucial in psychometrics, reflecting the extent to which a measurement instrument can discriminate between individuals or items. While classical test theory and intraclass correlation coefficients are well‐established for quantitative scales, estimating reliability for binary outcomes presents unique challenges due to their ...
Sophie Vanbelle
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Gaussian Filtering Using a Spherical-Radial Double Exponential Cubature
IEEE Open Journal of Signal ProcessingGaussian filters use quadrature rules or cubature rules to recursively solve Gaussian-weighted integrals. Classical and contemporary methods use stable rules with a minimal number of cubature points to achieve the highest accuracy. Gaussian quadrature is
Quade Butler +2 more
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Journal of Applied Mathematics, 2017 In this research, the quadrature-difference method with Gauss Elimination (GE) method is applied for solving the second-order of linear Fredholm integrodifferential equations (LFIDEs).
Chriscella Jalius, Zanariah Abdul Majid
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An efficient quadrature rule on the cubed sphere
, 2016 A new quadrature rule for functions defined on the sphere is introduced. The nodes are defined as the points of the Cubed Sphere. The associated weights are defined in analogy to the trapezoidal rule on each panel of the Cubed Sphere.
Croisille, Jean-Pierre +1 more
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Four beautiful quadrature rules
, 2019 A framework is presented to compute approximations of an integral $I(f)=\displaystyle \int_a^b f(x) dx$ from a pair of companion rules and its associate rule. We show that an associate rule is a weighted mean of two companion rules. In particular, the trapezoidal (T) and Simpson (S) rules are weighted means of the companion pairs (L,R) and (T,M ...
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Asymptotic standard errors for reliability coefficients in item response theory
British Journal of Mathematical and Statistical Psychology, EarlyView.Abstract In a recent review, Liu et al. (Psychological Methods, 2025b) classified reliability coefficients into two types: classical test theory (CTT) reliability and proportional reduction in mean squared error (PRMSE). This article focuses on quantifying the sampling variability of these coefficients under item response theory (IRT) models.
Youjin Sung, Yang Liu
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