Results 101 to 110 of about 217,218 (245)
Quadrature formulas for monotone functions [PDF]
Proceedings of the American Mathematical Society, 1992 We prove that adaptive quadrature formulas for the class of monotone functions are much better than nonadaptive ones if the average error is considered. Up to now it was only known that adaptive methods are not better in the worst case (for this and many other classes of functions) or in various average case settings.
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Magnetic Resonance in Medicine, Volume 96, Issue 5, Page 2489-2504, November 2026.ABSTRACT Purpose To improve the accuracy of diffusion‐weighted powder average signals for diffusion encoding with arbitrary b‐tensors. Methods We identify an intrinsic dihedral (D2) symmetry of diffusion signals for arbitrary diffusion encoding, which defines their natural signal space (a quotient of 3D rotations). Based on this, we propose a method to
Sune Nørhøj Jespersen +1 more
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Positive trigonometric quadrature formulas and quadrature on the unit circle [PDF]
Mathematics of Computation, 2011 We give several descriptions of positive quadrature formulas which are exact for trigonometric-, respectively, Laurent polynomials of degree less or equal to n
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Generalized Gaussian quadrature formulas [PDF]
, 1986 Existence and uniqueness of canonical points for best L1-approximation from an Extended Tchebycheff (ET) system, by Hermite interpolating “polynomials” with free nodes of preassigned multiplicities, are proved.
Bojanov, Borislav D +2 more
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International Journal for Numerical Methods in Fluids, Volume 98, Issue 10, Page 1143-1164, October 2026.This article provides important geometric formulas for node‐centered, edge‐based schemes in any number of dimensions. These formulas are noteworthy, as they do not require the explicit formation of dual regions. We prove several key geometric results, with a particular focus on the four‐dimensional case, due to potential space‐time applications ...
Nicholas Tufillaro +2 more
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, 2007 = 1 ( = n) if x 1 6= a (x n 6= b). Here K x denotes the derivative with respect to the first variable. Formulas which satisfy these conditions are called Wilf formulas.
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NMR in Biomedicine, Volume 39, Issue 10, October 2026.Machine learning models, particularly RFR (random forest regression), provide accurate and computationally efficient tumor pHe estimation from acidoCEST MRI without requiring auxiliary parametric maps. RFR achieved comparable performance to traditional Bloch fitting (RMSE: 0.020 vs.
Alia Khaled +6 more
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Newton-Cotes Quadrature Formulas
, 2016 This Demonstration shows the Newton–Cotes quadrature formulas of integration and their application to the integration of sin(x)Componente Curricular::Educação Superior::Ciências Exatas e da Terra ...
Sevilla, Eugenio Bravo
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Optimal Stochastic Quadrature Formulas For Convex Functions
, 1993 We study optimal stochastic (or Monte Carlo) quadrature formulas for convex functions. While nonadaptive Monte Carlo methods are not better than deterministic methods we prove that adaptive Monte Carlo methods are much better.
Erich Novak, Knut Petras
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Analysis of Eigenvalue Clustering Leads to Optimal Scaling in Numerical Radiative Transfer
Numerical Linear Algebra with Applications, Volume 33, Issue 5, October 2026.ABSTRACT We consider a multidimensional polychromatic radiative transfer (RT) problem, accounting for scattering processes in a general form, that is, anisotropic (dipole) scattering with partial frequency redistribution. Given a discrete ordinates (SN$$ {S}_N $$) discretization, we report the corresponding matrix structures, depending on the model and
Pietro Benedusi +3 more
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