Results 91 to 100 of about 16,329 (217)
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 105, Issue 12, December 2025.Abstract The elastic modulus profile of a functionally graded material (FGM) is additionally affected by oxygen diffusion. In contrast to earlier work, the reacting material is decreasing in concentration toward the oxygen‐exposed surface, so the rule used to model the elastic modulus is adjusted accordingly.
Robert Lammert +2 more
wiley +1 more source
Earth and Space Science, Volume 12, Issue 12, December 2025.Abstract A mathematical and numerical framework is developed for modeling Earth's magnetic field and optimizing the trajectory of the whole system using geomagnetic observations. The conventional approach is adopted to model Earth's magnetic field in the source‐free region via the Gauss coefficient, for which the fast dynamical component for the mantle‐
Kuan Li
wiley +1 more source
Using Chebyshev Polynomials to Approximate Partial Differential Equations [PDF]
This paper suggests a simple method based on a Chebyshev approximation at Chebyshev nodes to approximate partial differential equations. It consists in determining the value function by using a set of nodes and basis functions.
Guglielmo Maria Caporale, Mario Cerrato
core
Discrete Fourier analysis with lattices on planar domains
, 2009 A discrete Fourier analysis associated with translation lattices is developed recently by the authors. It permits two lattices, one determining the integral domain and the other determining the family of exponential functions.
Li, Huiyuan, Sun, Jiachang, Xu, Yuan
core +1 more source
Chebyshev interpolation with approximate nodes of unrestricted multiplicity
Journal of Approximation Theory, 1989 Etude de l'interpolation polynomiale d'ordre superieur des fonctions regulieres sur un intervalle fini. Etablissement d'une estimation asymptotique liant les proprietes de differentiabilite de la fonction interpolee a une condition sur la distribution asymptotique des nœuds qui elimine le phenomene de ...
openaire +1 more source
International Journal for Numerical Methods in Engineering, Volume 126, Issue 22, 30 November 2025.ABSTRACT This study explores matrix‐free tangent evaluations in finite‐strain elasticity with the use of automatically generated code for the quadrature‐point level calculations. The code generation is done via automatic differentiation (AD) with AceGen.
Michał Wichrowski +4 more
wiley +1 more source
A treecode based on barycentric Hermite interpolation for electrostatic particle interactions
Computational and Mathematical Biophysics, 2019 A particle-cluster treecode based on barycentric Hermite interpolation is presented for fast summation of electrostatic particle interactions in 3D. The interpolation nodes are Chebyshev points of the 2nd kind in each cluster.
Krasny Robert, Wang Lei
doaj +1 more source
Chebyshev polynomial approximation to approximate partial differential equations [PDF]
This pa per suggests a simple method based on Chebyshev approximation at Chebyshev nodes to approximate partial differential equations. The methodology simply consists in determining the value function by using a set of nodes and basis functions.
Guglielmo Maria Caporale, Mario Cerrato
core
Advanced Science, Volume 12, Issue 44, November 27, 2025.SpaBatch is an end‐to‐end multi‐slice spatial transcriptomics data integration framework. It simultaneously performs embedding learning, spatial feature denoising and reconstruction, batch effect correction, and spatial domain optimization, effectively correcting batch effects and achieving accurate 3D spatial domain identification.
Jinyun Niu +5 more
wiley +1 more source
Legendre-Gauss-Lobatto grids and associated nested dyadic grids [PDF]
, 2013 Legendre-Gauss-Lobatto (LGL) grids play a pivotal role in nodal spectral methods for the numerical solution of partial differential equations. They not only provide efficient high-order quadrature rules, but give also rise to norm equivalences that could
Brix, Kolja +2 more
core +1 more source