Results 51 to 60 of about 53,539 (221)

Application of High‐Order Direct Flux Reconstruction and Stiffness‐Resilient Time Integration to Simulations of Idealized Atmospheric Flows

International Journal for Numerical Methods in Fluids, EarlyView.
The proposed work implements a direct flux reconstruction method for spatial discretization and a stiffness‐resilient exponential time integration method for temporal discretization on the cube‐sphere grid. A space‐time tensor formalism is employed to provide a general representation in any curvilinear coordinate system. This combination enables highly
Stéphane Gaudreault, Christopher Subich, Shoyon Panday, Martin Charron, Vincent Magnoux, Valentin Dallerit, Mayya Tokman   +6 more
wiley   +1 more source

On $hp$-Convergence of PSWFs and A New Well-Conditioned Prolate-Collocation Scheme

, 2013
The first purpose of this paper is to provide a rigorous proof for the nonconvergence of $h$-refinement in $hp$-approximation by the PSWFs, a surprising convergence property that was first observed by Boyd et al [J. Sci. Comput., 2013].
Wang, Li-Lian, Zhang, Jing, Zhang, Zhimin   +2 more
core   +1 more source

Congruences concerning Legendre polynomials II [PDF]

Journal of Number Theory, 2013
Suppose that p is an odd prime and d is a positive integer. Let x and y be integers given by p = x2+dy2 or 4p = x2+dy2. In this paper we determine x( mod p) for many values of d. For example, [Formula: see text] where x is chosen so that x ≡ 1 ( mod 3). We also pose some conjectures on supercongruences modulo p2 concerning binary quadratic forms.
openaire   +3 more sources

The Combined Effects of Variable Viscosity and Thermal Conductivity of An Unsteady Casson Fluid Flow Along a Vertical Porous Channel With Convective Cooling Walls, Using the Bivariate Spectral Local Linearization Method

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This study examines the combined impact of different thermal conductivity and viscosity on unsteady non‐Newtonian Casson fluid flow of incompressible, electrical conductivity in a porous vertical channel with convective cooling walls, uniform magnetic field, and constant pressure gradient.
A. S. Adeyemo, Precious Sibanda, S. P. Goqo   +2 more
wiley   +1 more source

Anisotropic community turn‐over at habitat edges informs on assembly drivers: simulation and empirical test on soil macrofauna

Oikos, EarlyView.
Biodiversity dynamics in heterogeneous landscapes is the result of a complex interplay between movement processes of organisms within and between habitat patches, and niche filtering processes due to spatially varying environmental conditions. Disentangling the relative influences of these different processes on community assembly and dynamics is a ...
Gwenaelle Auger, Julien Pottier, Laurence Andanson, Pauline Bonnal, Sandrine Revaillot, Marilyn Roncoroni, Franck Jabot   +6 more
wiley   +1 more source

A Property of Legendre Polynomials [PDF]

Proceedings of the National Academy of Sciences, 1970
Remark I: The Legendre polynomials are the spherical functions for the symmetric space SO(3)/SO(2). A property analogous to that stated in the above theorem holds for other symmetric spaces. In this fashion we get also new properties for Gegenbauer polynomials, Bessel, and Legendre functions.
openaire   +3 more sources

Addressing ecological challenges from a quantum computing perspective

Methods in Ecology and Evolution, EarlyView.
Abstract With increased access to data and the advent of computers, the use of statistical tools and numerical simulations is becoming commonplace for ecologists. These approaches help improve our understanding of ecological phenomena and their underlying mechanisms in increasingly complex environments.
Maxime Clenet, Maxime Dion, F. Guillaume Blanchet   +2 more
wiley   +1 more source

A novel improved extreme learning machine algorithm in solving ordinary differential equations by Legendre neural network methods

Advances in Difference Equations, 2018
This paper develops a Legendre neural network method (LNN) for solving linear and nonlinear ordinary differential equations (ODEs), system of ordinary differential equations (SODEs), as well as classic Emden–Fowler equations.
Yunlei Yang, Muzhou Hou, Jianshu Luo
doaj   +1 more source

Associated Legendre Functions and Spherical Harmonics of Fractional Degree and Order

, 2017
Trigonometric formulas are derived for certain families of associated Legendre functions of fractional degree and order, for use in approximation theory.
Maier, Robert S.
core   +1 more source

The Importance of Environmental Heterogeneity in Evaluating the Conservation Status of Two Frog Species in a Changing Amazonian Interfluve

Animal Conservation, EarlyView.
Identifying the most effective criterion to assess the conservation status of vulnerable species in threatened tropical regions is crucial to evaluate recovery plans. We investigated the influence of environmental heterogeneity on the extent of occurrence (EOO), area of occupied habitat (AOH), and density variation of two Amazonian riparian frog ...
Rafael F. Jorge, Pedro Aurélio Costa Lima Pequeno, William E. Magnusson, Albertina Pimentel Lima   +3 more
wiley   +1 more source