Results 21 to 30 of about 71,835 (281)

Diffusive approximation of a time-fractional Burger's equation in nonlinear acoustics [PDF]

, 2016
A fractional time derivative is introduced into the Burger's equation to model losses of nonlinear waves. This term amounts to a time convolution product, which greatly penalizes the numerical modeling.
Lombard, Bruno, Matignon, Denis
core   +3 more sources

Chebyshev type quadrature formulas [PDF]

Mathematics of Computation, 1970
Quadrature formulas of the form \[ ∫ − 1 1 f ( x ) d x ≈ 2 n ∑ i = 1 n
openaire   +2 more sources

Quadrature formulas using derivatives [PDF]

Mathematics of Computation, 1965
1. H. MINEUR, Techniques de Calcul Num~rique d l'Usage des Mathe'maticiens, Astronomes, Physiciens et Ingenieurs. Suivi de Quatre Notes Par: Mme. Henri Berthod-Zaborowski, Jean Bouzitat, et Marcel Mayot, B6ranger, Paris, 1952. 2. M. ABRAMOWITZ & I.
openaire   +2 more sources

Majorana solution of the Thomas-Fermi equation [PDF]

, 2001
We report on an original method, due to Majorana, leading to a semi-analytical series solution of the Thomas-Fermi equation, with appropriate boundary conditions, in terms of only one quadrature. We also deduce a general formula for such a solution which
Salvatore Esposito, Sommerfeld A.
core   +2 more sources

On Birkhoff Quadrature Formulas [PDF]

Proceedings of the American Mathematical Society, 1986
In an earlier work the author has obtained new quadrature formulas (see (1.3)) based on function values and second derivatives on the zeros of ∏ n ( x ) {\prod _n}\left ( x \right ) as defined by (1.2).
openaire   +2 more sources

The numerical solution of a Fredholm integral equations of the second kind by the weighted optimal quadrature formula

Results in Applied Mathematics
This work considers the optimal quadrature formula in a Hilbert space for the numerical approximation of the integral equations. It discusses the sequence of solving integral equations with quadrature formulas.
Abdullo Hayotov, Samandar Babaev
doaj   +1 more source

Optimal formulas for the approximate-analytical solution of the general Abel integral equation in the Sobolev space

Results in Applied Mathematics, 2022
This article discusses the development of a new algorithm, which is based on optimal quadrature formulas for obtaining solutions to the generalized Abel integral equations.
Kholmat M. Shadimetov, Bakhtiyor S. Daliev   +1 more
doaj   +1 more source

Phase Change Material‐Driven Tunable Metasurface for Adaptive Terahertz Sensing and Communication in 6G Perceptive Networks

Advanced Functional Materials, EarlyView.
This study explores the benefits of metasurfaces made from functional materials, highlighting their ability to be adapted and improved for various high‐frequency applications, including communications and sensing. It first demonstrates the potential of these functional material‐based metasurfaces to advance the field of sub‐THz perceptive networks ...
Yat‐Sing To, Jiachen Du, Cyril Decroze, Laure Huitema, Aurelian Crunteanu, Hang Wong   +5 more
wiley   +1 more source

Is Gauss quadrature better than Clenshaw-Curtis? [PDF]

, 2006
We consider the question of whether Gauss quadrature, which is very famous, is more powerful than the much simpler Clenshaw-Curtis quadrature, which is less well-known.
Trefethen, Lloyd N.
core  

Engineered ETS1‐Nanoconjugate Restores Immune Homeostasis through Dual Immune‐Vascular Modulation in Relapsing and Progressive Multiple Sclerosis

Advanced Healthcare Materials, EarlyView.
The biomimetic nanoplatform IMNP (ETS1 pDNA/PBAE@ITP‐MM) undergoes targeted disassembly at inflammatory vascular sites to release the ETS1 plasmid (pETS1). This release initiates a cascade of effects that inhibit pathogenic pathways and support immune homeostasis. (Abbreviations: EndMT, endothelial‐to‐mesenchymal transition; EC, endothelial cell; TC, T
Feng Zhang, Si‐Bo Yang, Yan Luo, Xiao‐Di Sun, Bo‐Hao Chang, Da‐Qiang Zhou, Jun‐Jie Jiang, Ya‐Nan Li, Jie‐Hong Wu, Hui‐Juan Jin, Hang Yang, Hang Hu, Yi‐Fan Zhou, Bo Hu   +13 more
wiley   +1 more source