Results 71 to 80 of about 789 (216)

Optimization of the Approximate Integration Formula Using the Quadrature Formula

International Journal of Analysis and Applications
The article explores Sard’s problem of constructing optimal quadrature formulas in the space W(4,0)2(0,1) by using Sobolev’s method. This problem involves two steps: first, calculating the norm of the error functional, and then finding the minimum of this norm by the coefficients of the quadrature formulas.
Kh.M. Shadimetov, A.K. Boltaev
openaire   +1 more source

Optimal quadrature formulae on the real line

Journal of Mathematical Analysis and Applications, 1992
Quadrature formulas with equidistant nodes on the real line, involving a sequence of derivatives are treated. In this class, an optimal quadrature formula is obtained for the Sobolev space of functions with an additional restriction on its Fourier transforms. An explicit expression for the error is given.
openaire   +2 more sources

Benchmarking Hybrid CNN‐Transformer Versus Pure Transformer Architectures for Accelerated Hyperpolarized 129Xe MRI Reconstruction

Journal of Magnetic Resonance Imaging, Volume 64, Issue 1, Page 266-280, July 2026.
ABSTRACT Background Hyperpolarized 129Xe MRI faces technical challenges including low signal‐to‐noise ratio and breath‐hold constraints. Current literature focuses on proprietary deep learning methods or image‐domain enhancements. Purpose To present a comprehensive evaluation of transformer and hybrid CNN‐transformer architectures integrating dual ...
Ramtin Babaeipour, Matthew S. Fox, Grace Parraga, Alexei Ouriadov   +3 more
wiley   +1 more source

Asymptotic bit cost of quadrature formulas obtained by variable transformation

, 1997
In this paper, the asymptotic bit operation cost of a family of quadrature formulas, especially suitable for evaluation of improper integrals, is studied.
Favati, P.
core   +1 more source

Error Analysis for Semilinear Stochastic Subdiffusion with Integrated Fractional Gaussian Noise

Mathematics
We analyze the error estimates of a fully discrete scheme for solving a semilinear stochastic subdiffusion problem driven by integrated fractional Gaussian noise with a Hurst parameter H∈(0,1).
Xiaolei Wu, Yubin Yan
doaj   +1 more source

Optimal designs for 3D shape analysis with spherical harmonic descriptors [PDF]

We determine optimal designs for some regression models which are frequently used for describing 3D shapes. These models are based on a Fourier expansion of a function defined on the unit sphere in terms of spherical harmonic basis functions.
Dette, Holger, Pepelyshev, Andrey, Melas, Viatcheslav B.   +2 more
core  

Quadrature formulas obtained by variable transformation and the DE-rule

, 1985
This paper gives a survey of the results known to date about quadrature formulas obtained by variable transformation followed by an application of the trapezoidal rule with an equal mesh size.
Mori, Masatake
core   +1 more source

Free Vibration of Hemp Fiber‐Reinforced Laminated Composite Curved Beams Using Generalized Differential Quadrature Method

Polymer Composites, Volume 47, Issue 12, Page 11300-11318, 20 June 2026.
Schematic representation of hemp‐, glass‐, and carbon‐based laminated composite curved beams, including different stacking sequences and their vibration response. ABSTRACT In recent years, increasing environmental awareness has stimulated growing interest in natural fiber‐reinforced composites (NFRCs) due to their eco‐friendly composition ...
Aykut Çetin, Hasan Kurtaran
wiley   +1 more source

Trigonometric multiple orthogonal polynomials of semi-integer degree and the corresponding quadrature formulas

, 2014
An optimal set of quadrature formulas with an odd number of nodes for trigonometric polynomials in Borges' sense [Numer. Math. 67 (1994), 271-288], as well as trigonometric multiple orthogonal polynomials of semi-integer degree are defined and studied ...
Stanić, Marija, Tomović, Tatjana, Milovanovic, Gradimir   +2 more
core   +1 more source

Weighted Deformed Gram Matrices for Quantum‐Inspired Learning With Applications to Biomedical Signal Analysis

Engineering Reports, Volume 8, Issue 6, June 2026.
Graphical abstract of the (q,τ)$$ \left(q,\tau \right) $$‐deformed kernel framework for quantum‐inspired learning and biomedical signal analysis ABSTRACT This paper introduces a weighted (q,τ)$$ \left(q,\tau \right) $$‐deformed Gram matrix framework for quantum‐inspired learning systems, with particular emphasis on applications in biomedical signal ...
Rabha W. Ibrahim, Dumitru Baleanu, Soheil Salahshour   +2 more
wiley   +1 more source