Results 101 to 110 of about 6,156 (296)

A Spectral-fPINN Framework for Fractional Optimal Control Problems

Computation
Fractional optimal control problems provide an effective mathematical framework for modeling dynamical systems with memory, hereditary behavior, and anomalous diffusion effects.
Yonis Gulzar, Ishtiaq Ali
doaj   +1 more source

Ferrers functions of arbitrary degree and order and related functions [PDF]

, 2022
Numerous novel integral and series representations for Ferrers functions of the first kind (associated Legendre functions on the cut) of arbitrary degree and order, various integral, series and differential relations connecting Ferrers functions of ...
Malits, P.
core   +1 more source

Drivers of individual plant species contributions to β‐diversity are scale‐dependent

Oikos, EarlyView.
Species introductions and local extinctions of native species are driving biotic homogenisation in plant communities by reducing β‐diversity. Individual species vary in their contributions to β‐diversity (species contribution to β‐diversity; species‐β), yet our understanding of how species characteristics shape these contributions remains limited ...
Rona Learmonth, Francis Q. Brearley, Adam Clark, Aaron S. David, Catalina Estrada, Fatih Fazlioglu, Ivan de Klee, Daniela Konrad, Lizzie Lemon, Olivia Millen, Nell J. Pates, Linda Pieber, Megan L. Sherlock, Elizabeth G. Simpson, Scott G. Ward, Hannah J. White, William D. Pearse   +16 more
wiley   +1 more source

Fundamental Solution of Laplace's Equation in Hyperspherical Geometry

Symmetry, Integrability and Geometry: Methods and Applications, 2011
Due to the isotropy of d-dimensional hyperspherical space, one expects there to exist a spherically symmetric fundamental solution for its corresponding Laplace-Beltrami operator.
Howard S. Cohl
doaj   +1 more source

Translation and scale invariants of Legendre moments [PDF]

, 2004
By convention, the translation and scale invariant functions of Legendre moments are achieved by using a combination of the corresponding invariants of geometric moments.
Chong, C
core   +1 more source

Multitrophic alpha and beta diversity of lake plankton across Canada

Oikos, EarlyView.
Anthropogenic environmental changes impact freshwater biodiversity globally. While biodiversity assessments in freshwater environments have traditionally focused on individual groups of organisms or trophic levels, considering patterns of ‘multitrophic biodiversity' across the food web provides a more comprehensive view of anthropogenic impacts and ...
Vincent Fugère, Cindy Paquette, Gillian K. Martin, Rebecca E. Garner, Yannick Huot, David A. Walsh, Beatrix E. Beisner   +6 more
wiley   +1 more source

A Projection Method for Solving Nonlinear Volterra-Fredholm Integral Equations using Legendre Hybrid Functions

Journal of Mathematical Extension, 2013
Since various problems in science and engineering fields can be modeled by nonlinear Volterra-Fredholm integral equations, the main focus of this study is to present an effective numerical method for solving them.
M. Roodaki, Z. JafariBehbahani
doaj  

Error Characteristic of the Fourier–Legendre Method [PDF]

, 2016
Error characteristics of the Fourier expansion of the Legendre polynomials are examined in the computation of the Gaussian latitudes and weights and in the Fourier– Legendre scaling factor for associated Legendre functions.
榎本, 剛
core  

Tell me where you flow and I will tell you who you are: basin context shapes the insect fauna of small tributaries

Oikos, EarlyView.
The traditional view of river basins as linear corridors has led to numerous studies examining the effects of stream size on aquatic communities. However, similar‐sized streams may harbor distinct faunal assemblages depending on their spatial context within the basin. Headwater tributaries (HTs) that flow into small streams, in the periphery of basins,
Silvia Vendruscolo Milesi, Adriano Sanches Melo   +1 more
wiley   +1 more source

A Hybrid Fractional Chebyshev–Legendre Spectral Collocation Method for Hamilton–Jacobi–Bellman Equations

IEEE Access
Stochastic optimal control problems are commonly formulated as optimization problems constrained by stochastic dynamical systems, whose value functions satisfy Hamilton–Jacobi–Bellman (HJB) equations.
Alvian Alif Hidayatullah, Subchan Subchan, Sena Safarina, Tahiyatul Asfihani, R. Mohamad Atok, Irma Fitria, Andriyansah, Kasno Pamungkas   +7 more
doaj   +1 more source