Results 71 to 80 of about 4,201 (221)

A class of quadrature formulas and related Marcinkiewicz-Zygmund inequalities(一类求积公式及相关Marcinkiewicz-Zygmund不等式)

Zhejiang Daxue xuebao. Lixue ban
In this paper, we establish the Simpson quadrature formula for continuous periodic functions and investigate its quadrature accuracy for trigonometric polynomials, that is, when the quadrature formula holds exactly.
王丹丹(WANG Dandan), 赵易(ZHAO Yi)
doaj   +1 more source

Innovative Scheme for Evaluation of Soil Induced Stresses Using a Customized Two -point Gauss Formula

Journal of King Saud University: Engineering Sciences, 2005
. This paper presents a systematic procedure in which the variation in induced stresses in soil layers is effectively dealt with using only two sublayers. A customized two -point Gauss quadrature formula was derived to evaluate induced stresses such that
Mosleh A. Al-Shamrani
doaj   +1 more source

Symmetric Hermite Quadrature‐Based Balanced Truncation for Learning Linear Dynamical Systems From Derivative Data

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Data‐driven reduced‐order modeling is an essential component in the computer‐aided design of control systems. In this work, we present a novel symmetric Hermite formulation of the quadrature‐based balanced truncation algorithm that constructs linear reduced‐order models from evaluations of the full‐order system's transfer function and its ...
Sean Reiter, Steffen W. R. Werner
wiley   +1 more source

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.
openaire   +2 more sources

Beyond Directions: Symmetry‐Aware Rotation Sets for Triaxial Diffusion Encoding by Geometric Filter Optimization

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, Filip Szczepankiewicz   +1 more
wiley   +1 more source

Weighted Optimal Formulas for Approximate Integration

Mathematics
Solutions to problems arising from much scientific and applied research conducted at the world level lead to integral and differential equations. They are approximately solved, mainly using quadrature, cubature, and difference formulas. Therefore, in the
Kholmat Shadimetov, Ikrom Jalolov
doaj   +1 more source

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
openaire   +3 more sources

Edge‐Based Discretizations on Triangulations in Any Dimension, With Special Attention to Four‐Dimensional Space

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, David M. Williams, Hiroaki Nishikawa   +2 more
wiley   +1 more source

A Machine Learning Approach That Measures Extracellular pH Within an In Vivo Tumor Model Using acidoCEST MRI

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, Chetan B. Dhakan, Lucas B. McCullum, Jorge de la Cerda, F. William Schuler, Tianzhe Li, Mark D. Pagel   +6 more
wiley   +1 more source

Efficient Quadrature Rules for Cauchy Principal Value Integrals with Highly Oscillatory Bessel Kernel

Mathematics
In this paper, we address the fast computation of highly oscillatory Bessel transforms involving algebraic-type singularities and Cauchy principal value integrals.
Bin Li, Yibo Liu, Jinjun Yong
doaj   +1 more source