Results 81 to 90 of about 1,642 (193)
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
wiley +1 more source
Radial Tiny Golden Angle UTE (tyGA‐UTE) for Cardiac MRI in the Small Animal Model
NMR in Biomedicine, Volume 39, Issue 11, November 2026.This study validates an 11.7‐T ultra‐high‐field tyGA‐UTE cardiac MRI workflow for murine models, featuring single‐acquisition dual reconstructions for real‐time visualization and quantitative functional assessment. It delivers performance equivalent to standard techniques, excellent reproducibility, and higher efficiency by eliminating repeated scans ...
Hao Li +4 more
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Optimal quadrature formulas for approximate calculation of rapidly oscillating integrals
Results in Applied MathematicsIn this paper, we study the problem of constructing optimal formulas for approximate integration in the Sobolev space L2m˜0,1 of periodic functions. Using the functional approach, we obtain optimal quadrature formulas for the approximate calculation of ...
Kholmat Shadimetov +2 more
doaj +1 more source
Multilevel quadrature formulae for the optimal control of random PDEs
Numerische MathematikAbstract This manuscript presents a framework for using multilevel quadrature formulae to compute the solution of optimal control problems constrained by random partial differential equations. Our approach consists in solving a sequence of optimal control problems discretized with different levels of accuracy of the physical and ...
Nobile, Fabio, Vanzan, Tommaso
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On a Sharp Fractional Integrals Inequality
International Journal of Mathematics and Mathematical SciencesThis paper establishes a new class of sharp trapezoidal-type inequalities for absolutely continuous functions whose derivatives belong to L2a,b. By employing the generalized Chebyshev functional and the framework of Riemann–Liouville fractional integrals,
Mohsen Rostamian Delavar, Mohsen Kian
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International Journal for Numerical Methods in Engineering, Volume 127, Issue 20, 30 October 2026.ABSTRACT This study enhances a framework of surrogate computational homogenization (SCH) using decision tree‐based partition‐of‐unity radial basis function (PU‐RBF) interpolation for three‐dimensional finite‐deformation two‐scale analysis. The method addresses the scalability limitation of global RBF interpolation for large numerical material test (NMT)
Yosuke Yamanaka +2 more
wiley +1 more source
Fractal and FractionalIn this article, we develop multiplicative fractional versions of Simpson’s and Newton’s formula-type inequalities for differentiable generalized convex functions with the help of established identities.
Abdul Mateen +3 more
doaj +1 more source
Nanophotonics, Volume 15, Issue 20, 27 October 2026.Mitochondrial oxidative metabolism generates ROS. Downstream chemiexcitation triplet carbonyls, singlet oxygen; produces ultra‐weak photon emission (UPE). Energetic bounds restrict well‐coupled respiration to extremely weak, red/NIR‐biased emission. Stronger visible UPE indicates elevated oxidative flux, linking measured photon counts to redox state ...
Samuel Crowther +2 more
wiley +1 more source
Optimal quadrature formulas with derivatives in Sobolev space
, 2014 In the present paper the problem of construction of optimal quadrature formulas in the sense of Sard in the space $L_2^{(m)}(0,1)$is considered. Here the quadrature sum consists of values of the integrand at nodes and values of the first and the third derivatives of the integrand at the end points of the integration interval.
Shadimetov, Kh. M. +2 more
openaire +2 more sources