Results 51 to 60 of about 67,137 (234)

MATRICES AND QUADRATURE RULES FOR WAVELETS

Taiwanese Journal of Mathematics, 1998
The authors study matrices (in particular their spectral norm) arising in the (exact) computation of integrals \[ \int x^m\varphi(x- k)dx,\quad \int x^m\varphi(x) \varphi(x- k)dx\qquad (0\leq m\leq p-1), \] where \(\varphi\) denotes the Daubechies' scaling function which integer translates reproduce polynomials of degree \(\leq p-1\) on finite ...
Shann, W. C., Yen, C. C.
openaire   +2 more sources

Artificial Intelligence for Multiscale Modeling in Solid‐State Physics and Chemistry: A Comprehensive Review

Advanced Intelligent Systems, EarlyView.
This review explores the transformative impact of artificial intelligence on multiscale modeling in materials research. It highlights advancements such as machine learning force fields and graph neural networks, which enhance predictive capabilities while reducing computational costs in various applications.
Artem Maevskiy, Vitalii Kapitan, Andrey Ustyuzhanin   +2 more
wiley   +1 more source

Generalizing Averaging Techniques for Approximating Fractional Differential Equations With Caputo Derivative

Journal of Applied Mathematics
This work investigates the concept of numerically approximating fractional differential equations (FDEs) by using function average in an interval. First, the equivalent integral equation is obtained.
Chinedu Nwaigwe, Abdon Atangana
doaj   +1 more source

Internality of Two-Measure-Based Generalized Gauss Quadrature Rules for Modified Chebyshev Measures II

Mathematics
Gaussian quadrature rules are commonly used to approximate integrals with respect to a non-negative measure dσ^. It is important to be able to estimate the quadrature error in the Gaussian rule used.
Dušan Lj. Djukić, Rada M. Mutavdžić Djukić, Aleksandar V. Pejčev, Lothar Reichel, Miodrag M. Spalević, Stefan M. Spalević   +5 more
doaj   +1 more source

A Gauss-Jacobi Kernel Compression Scheme for Fractional Differential Equations

, 2018
A scheme for approximating the kernel $w$ of the fractional $\alpha$-integral by a linear combination of exponentials is proposed and studied.
Baffet, Daniel
core   +1 more source

Evaluation of quantitative muscle MRI and an intelligent phenotyping housing system as advanced phenotyping methods in a mouse model of calpain 3‐deficient muscular dystrophy

Animal Models and Experimental Medicine, EarlyView.
We applied quantitative MRI of the lower limb and automated home‐cage phenotyping to a mouse model of calpainopathy to detect early disease changes. At 15 months, calpain 3‐deficient mice showed increased water T2 values correlating with immune cell infiltration in the soleus and gastrocnemius muscles, while assessment of motor activity revealed only ...
Nicolina Südkamp, Marlena Rohm, Gabriele Russo, Xavier Helluy, Abdulhadi Kocabas, Martijn Froeling, Felix Kleefeld, Denise Manahan‐Vaughan, Tobias Ruck, Frank Jacobsen, Matthias Vorgerd, Johannes Forsting, Lara Schlaffke   +12 more
wiley   +1 more source

Enhanced Numerical Techniques for Selective Integration Using Error Correction Methods

Ibn Al-Haitham Journal for Pure and Applied Sciences
Classical numerical integration methods, such as Simpson’s rule and Gaussian quadrature, perform well for smooth functions but lose accuracy near discontinuities.
Israa Essa Abed, Wafaa M. R. Shakir
doaj   +1 more source

On the Remainder in Quadrature Rules [PDF]

Mathematics of Computation, 1971
An expression is obtained for the remainder in quadrature rules applied to functions whose Hubert transforms exist. The estimation of the remainder is illustrated by means of a particular example.
openaire   +2 more sources

WSPLK: A systematic approach to the thermodynamic characterization of light and heavy Mexican crude oil

The Canadian Journal of Chemical Engineering, EarlyView.
Abstract A streamlined characterization framework (WSPLK) is presented for modelling complex reservoir fluids using cubic equations of state. The key methodological contribution is the introduction of a single global parameter ε directly into Pedersen's boiling‐point correlation, restoring pure‐component calibration and eliminating the need for ...
Angélica Merlo‐Robredo, Heber Barragán‐Mayet, Lourdes Mayet‐Cruz, José Fernando Barragán‐Aroche   +3 more
wiley   +1 more source

Variational Integrators in Holonomic Mechanics

Mathematics, 2020
Variational integrators for dynamic systems with holonomic constraints are proposed based on Hamilton’s principle. The variational principle is discretized by approximating the generalized coordinates and Lagrange multipliers by Lagrange polynomials, by ...
Shumin Man, Qiang Gao, Wanxie Zhong
doaj   +1 more source