Results 71 to 80 of about 2,598,235 (196)
A novel fractional structure of a multi-order quantum multi-integro-differential problem
Advances in Difference Equations, 2020 In the present research manuscript, we formulate a new generalized structure of the nonlinear Caputo fractional quantum multi-integro-differential equation in which such a multi-order structure of quantum integrals is considered for the first time.
Nguyen Duc Phuong +3 more
doaj +1 more source
Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA
Communications on Pure and Applied Mathematics, Volume 79, Issue 10, Page 2291-2369, October 2026.ABSTRACT We study the high‐dimensional dynamics of online stochastic gradient descent (SGD) for the multi‐spiked tensor model. This multi‐index model arises from the tensor principal component analysis (PCA) problem with multiple spikes, where the goal is to estimate the unknown signal vectors within the N$N$‐dimensional unit sphere through maximum ...
Gérard Ben Arous +2 more
wiley +1 more source
Nonlinear integro-differential equations
Journal of Mathematical Extension, 2010 Summary: The continuous Legendre wavelets constructed on the interval \([0,1]\) are used to solve the nonlinear Fredholm integrodifferential equation. The nonlinear part of integro-differential is approximated by Legendre wavelets, and the nonlinear integro-differential is reduced to a system of nonlinear equations.
S. Mahdavi∗, M. Tavassoli Kajani
openaire +2 more sources
Analysis of Eigenvalue Clustering Leads to Optimal Scaling in Numerical Radiative Transfer
Numerical Linear Algebra with Applications, Volume 33, Issue 5, October 2026.ABSTRACT We consider a multidimensional polychromatic radiative transfer (RT) problem, accounting for scattering processes in a general form, that is, anisotropic (dipole) scattering with partial frequency redistribution. Given a discrete ordinates (SN$$ {S}_N $$) discretization, we report the corresponding matrix structures, depending on the model and
Pietro Benedusi +3 more
wiley +1 more source
Fractal and FractionalThe main aim of this study is to examine the Hyers–Ulam stability of fractional derivatives in Volterra–Fredholm integro-differential equations using Caputo fractional derivatives.
Govindaswamy Gokulvijay +2 more
doaj +1 more source
Oikos, Volume 2026, Issue 10, October 2026.In temperate lakes, plankton dynamics are closely linked to seasonal shifts in water stratification, following air temperature. The onset of summer stratification typically coincides with the formation of an algal spring bloom in the well‐mixed surface layer (epilimnion).
Arthur F. Rossignol, Sabine Wollrab
wiley +1 more source
geohabnet: An R package for mapping habitat connectivity for biosecurity and conservation
Methods in Ecology and Evolution, Volume 17, Issue 10, Page 2862-2872, October 2026.Abstract Habitat connectivity is critical for the conservation of endangered and endemic species, and conversely, it can hinder efforts to contain the spread of harmful biological agents. Here, we introduce geohabnet: a general, spatially explicit, network‐based R package for evaluating, estimating and mapping landscape connectivity from continuous ...
Aaron I. Plex Sulá +6 more
wiley +1 more source
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 In this paper the combined three-dimensional non-local boundary value problem with integro-multipoint conditions for loaded volterra-hyperbolic integro-differential equation of Bianchi type is explored.
Ilgar G Mamedov
doaj +3 more sources
Individual bird identification by modelling temporal structure in bioacoustic embeddings
Methods in Ecology and Evolution, Volume 17, Issue 10, Page 2909-2927, October 2026.Abstract Identifying individual animals from vocalizations is an emerging research area in computational bioacoustics. This non‐invasive approach reduces reliance on physical capture and tagging for wildlife monitoring. Recent advances in this area leverage deep learning and bioacoustic foundation models adapted from species‐level classifiers. However,
Jonathan Gallego +2 more
wiley +1 more source
Free integro-differential algebras and Groebner-Shirshov bases [PDF]
, 2014 The notion of commutative integro-differential algebra was introduced for the algebraic study of boundary problems for linear ordinary differential equations. Its noncommutative analog achieves a similar purpose for linear systems of such equations.
Guo, Li +5 more
core +1 more source