Results 81 to 90 of about 148,162,886 (209)
Solving Volterra integral equations of the second kind by sigmoidal functions approximation
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Costarelli D., Spigler R.
openaire +3 more sources
Finite‐Block Polynomial and Volterra Structure in Reservoir Computing
ABSTRACT Reservoir computing is analyzed through the algebraic structure generated by finite‐width reservoirs on fixed input blocks. For linear and quadratic logistic activations, the induced input‐to‐state map admits an exact finite Volterra representation, yielding an explicit characterization of the associated hypothesis class.
Alfio Borzì
wiley +1 more source
Abstract Ecologists are adapting structural causal modelling for spatial, phylogenetic and time‐series analysis. However, ecological extensions of path analysis and structural equation models (SEM) typically assume that interactions among variables are stationary, linear and additive, while ecological and evolutionary dynamics are often nonstationary ...
James T. Thorson, Kasper Kristensen
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In the article it is shown that the homogeneous Volterra integral equation of the second kind, to which the homogeneous boundary value problem of heat conduction in the degenerating domain is reduced, has a nonzero solution.
D.M. Akhmanova +2 more
doaj +1 more source
Coexistence of poorer competitors for all available resources requires greater niche overlap
Abstract The need for niche differentiation among resource competitors to coexist is a universally accepted principle in ecology. However, this principle is derived from models with one or two resources or no resource dynamics at all. Graphical analysis of a consumer‐resource model including three resources shows that a consumer that is not the best ...
Mark A. McPeek
wiley +1 more source
Analytical fuzzy soliton solutions of a modified space–time fractional ϕ4$$ {\phi}^4 $$ model are derived using EHFM, capturing memory effects and uncertainty. Results reveal diverse wave structures and show how fractional order and fuzziness significantly influence soliton amplitude, localization, and propagation, with heightened sensitivity near the ...
Mohsin Khalid +3 more
wiley +1 more source
We consider the questions of one value solvability of the inverse problem for a nonlinear partial Fredholm type integro-differential equation of the fourth order with degenerate kernel. The method of degenerate kernel is developed for the case of inverse
Tursun K Yuldashev
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This study integrates EfficientNetV2‐based classification and counting of 12 pest species with a hybrid Neural ODE predator–prey model for biological pest control. Deep learning (DL) population estimates are used to initialize the ODE system, which is empirically validated against real insect population time‐series data.
M. Monzu Uddin +3 more
wiley +1 more source
Distributed-memory parallelization of an explicit time-domain volume integral equation solver on Blue Gene/P [PDF]
Two distributed-memory schemes for efficiently parallelizing the explicit marching-on in-time based solution of the time domain volume integral equation on the IBM Blue Gene/P platform are presented.
Cheeseman, M, Bağcı, H, Al-Jarro, A
core
Approximate Numerical Solutions for Linear Volterra Integral Equations Using Touchard Polynomials
In this paper, Touchard polynomials (TPs) are presented for solving Linear Volterra integral equations of the second kind (LVIEs-2k) and the first kind (LVIEs-1k) besides, the singular kernel type of this equation.
Jalil Talab Abdullah
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