Results 41 to 50 of about 292,163 (222)

Convection in porous media and Legendre, Chebyshev Galerkin methods [PDF]

, 2005
The subject of thermal convection in fluid and porous media is investigated, coupled with the development of efficient spectral finite element methods to improve on the more commonly used techniques for these types of problems.
Hill, Antony Α., Hill, Antony A, Antony Hill   +2 more
core  

A New Legendre Spectral Galerkin and Pseudo-Spectral Approximations for Fractional Initial Value Problems

Abstract and Applied Analysis, 2013
We extend the application of the Galerkin method for treating the multiterm fractional differential equations (FDEs) subject to initial conditions. A new shifted Legendre-Galerkin basis is constructed which satisfies exactly the homogeneous initial ...
A. H. Bhrawy, M. A. Alghamdi
doaj   +1 more source

Mapping Non‐Linear ESG Trajectories in OECD Countries: A Topological Entropy Approach

Business Strategy and the Environment, EarlyView.
ABSTRACT This study examines the evolution of Environmental, Social and Governance (ESG) performance across 38 OECD countries between 2010 and 2024 using a longitudinal and multi‐dimensional analytical framework. Moving beyond static ESG benchmarking approaches, it investigates how sustainability trajectories evolve under changing institutional ...
Sana Gaied Chortane, Rami Salem, Salah Ben Hamad   +2 more
wiley   +1 more source

Planar Coulomb Gas on a Jordan Arc at Any Temperature

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We study a planar Coulomb gas confined to a sufficiently smooth Jordan arc γ$\gamma$ in the complex plane, at inverse temperature β>0$\beta > 0$. Let Z¯nβ(γ)=Znβ(γ)((2cap(γ))βn2/2e(1−β/2)n(H(νe,γ)−H(νe,I)),$$\begin{equation*} \bar{Z}_{n}^\beta (\gamma)=\frac{Z_n^\beta (\gamma)}{((2\text{cap}(\gamma))^{\beta n^2/2}e^{(1-\beta /2)n(H(\nu _{e ...
K. Courteaut, K. Johansson, F. Viklund
wiley   +1 more source

Numerical simulation of variable-order fractal-fractional delay differential equations with nonsingular derivative

Engineering Science and Technology, an International Journal, 2023
This work develops a new Legendre delay operational matrix based on Legendre polynomial features that are integrated with regard to the Legendre fractional derivative operational matrix in order to solve the issues.
Mays Basim, Ali Ahmadian, Norazak Senu, Zarina Bibi Ibrahim   +3 more
doaj   +1 more source

Immersed Boundary Projection Method for Boundaries With Slip Velocities

International Journal for Numerical Methods in Fluids, EarlyView.
A formulation of the immersed boundary method for incompressible flow over arbitrarily‐shaped bodies with surface slip described by the Navier boundary condition is presented. The wall slip velocity and the boundary force are determined implicitly through a projection to satisfy both the boundary condition and the divergence‐free condition of the ...
Takehiro Fujii, Takeshi Omori
wiley   +1 more source

Holocene vegetation change and fire–plant diversity shifts in Mediterranean France

Journal of Quaternary Science, EarlyView.
ABSTRACT Changes in fire activity are recognized as a major threat to biodiversity and vegetation communities across the Mediterranean Basin. However, long‐term fire–vegetation interactions remain poorly investigated. Here, we combine a high‐resolution charcoal record with pollen data from the “Étang des Aulnes” lake (southern France) to reconstruct ...
Cécile Latapy, Marion Lestienne, Andy Hennebelle, Johanne Burmeister, Aymeric LeGall, Gwendal Mouden, Damien Rius, Lisa Bajolle, Jacques‐Louis de Beaulieu, Walter Finsinger, Emmanuel Gandouin, François Demory, Cécile H. Albert, Bérangère Leys   +13 more
wiley   +1 more source

Flow cytometric phytoplankton concentration and optical properties across instruments and laboratories

Limnology and Oceanography: Methods, EarlyView.
Abstract Flow cytometry measures the optical properties of individual cells and has become essential for enumerating and characterizing marine phytoplankton. Yet systematic comparison of measurements across instruments remains limited, hampering data comparison across laboratories and long‐term time series.
Francois Ribalet, Anne W. Thompson, E. Virginia Armbrust, Raffaella Casotti, Josep M. Gasol, Emily Peacock, Massimo C. Pernice, Nicole J. Poulton, Heidi M. Sosik, Angelicque E. White, Zackary Johnson   +10 more
wiley   +1 more source

Delannoy numbers and Legendre polytopes [PDF]

Discrete Mathematics & Theoretical Computer Science, 2008
We construct an $n$-dimensional polytope whose boundary complex is compressed and whose face numbers for any pulling triangulation are the coefficients of the powers of $(x-1)/2$ in the $n$-th Legendre polynomial.
Gábor Hetyei
doaj   +1 more source

Three‐Dimensional Optical Characterization of Magnetostrictive Deformation in Magnomechanical Systems

Laser &Photonics Reviews, EarlyView.
An optical approach is proposed for real‐time and high‐precision detection of the magnetostrictive deformation of an yttrium‐iron‐garnet sphere in three dimensions, based on the deformation induced spatial high‐order modes of the scattered field, postselection, and balanced homodyne detection.
Xiaomin Liu, Jing Zhang, Jie Li, Rongguo Yang, Jiangrui Gao, Tiancai Zhang   +5 more
wiley   +1 more source