Results 61 to 70 of about 110,191 (226)

A Certain Approximate Solutions of Nonlinear Flutter Equation

Engineering Transactions, 2015
A nonlinear integro-differential flutter equation of a thin airfoil placed in an incompressible flow is solved by two different methods. The first method involves the center-manifold reduction and gives the asymptotic limit cycle amplitude and frequency ...
J. Grzędziński
doaj   +1 more source

Confronting policy myopia: Short‐term government policy and information seeking behaviors in rural Thailand

Review of Policy Research, EarlyView.
Abstract Short‐term policy (STP) has attracted considerable attention as a form of time‐related public policy and is typically used to solve urgent problems. The objective of this study, which considers STP as policy myopia from an information science perspective, is to discuss the challenges encountered during the STP policymaking process and their ...
Prasongchai Setthasuravich, Hironori Kato   +1 more
wiley   +1 more source

Multi-Component KdV Hierarchy, V-Algebra and Non-Abelian Toda Theory

, 1994
I prove the recently conjectured relation between the $2\times 2$-matrix differential operator $L=\partial^2-U$, and a certain non-linear and non-local Poisson bracket algebra ($V$-algebra), containing a Virasoro subalgebra, which appeared in the study ...
A. Bilal, A. Bilal, A. Bilal, Adel Bilal, E. Olmedilla, F. Calogero, G. Segal, I. Bakas, I. M. Gel'fand, I. M. Gel'fand, I. M. Gel'fand, J.-L. Gervais, J.-L. Gervais, M. Bruschi, P. Francesco Di, P. Mathieu, R. Hirota, V. G. Drinfel'd   +17 more
core   +1 more source

Refined Analytical Approximations to Limit Cycles for Non-Linear Multi-Degree-of-Freedom Systems [PDF]

, 2019
This paper presents analytical higher order approximations to limit cycles of an autonomous multi-degree-of-freedom system based on an integro-differential equation method for obtaining periodic solutions to nonlinear differential equations.
Lewis, Andrew
core   +2 more sources

Boundary value problems of degenerate integro-differential equations on the boundary of the region with application in filtration

E3S Web of Conferences
Boundary value problems for ordinary and integro-differential equations degenerating on the boundary of the region are considered. The existence of solutions is proven and a priori estimates for the solutions of the problems are obtained.
Abdujabbor Abdurazakov, Anvarjon Fozilov, Nasiba Makhmudova, Nilufar Mirzamakhmudova   +3 more
semanticscholar   +1 more source

Challenges in Automatic Differentiation and Numerical Integration in Physics‐Informed Neural Networks Modelling

International Journal for Numerical Methods in Engineering, Volume 126, Issue 20, 30 October 2025.
ABSTRACT In this paper, we numerically examine the precision challenges that emerge in automatic differentiation and numerical integration in various tasks now tackled by physics‐informed neural networks (PINNs). Specifically, we illustrate how ill‐posed problems or inaccurately computed functions can cause serious precision issues in differentiation ...
Josef Daněk, Jan Pospíšil
wiley   +1 more source

Fractional calculus modelling for unsteady unidirectional flow of incompressible fluids with time-dependent viscosity

, 2012
In this note we analyze a model for a unidirectional unsteady flow of a viscous incompressible fluid with time dependent viscosity. A possible way to take into account such behaviour is to introduce a memory formalism, including thus the time dependent ...
Garra, Roberto, Polito, Federico
core   +1 more source

Factorization of abstract operators into two second degree operators and its applications to integro-differential equations

BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS
Boundary value problem B1x = f with an abstract linear operator B1, corresponding to an Fredholm integro-differential equation with ordinary or partial differential operator is researched.
I. Parasidis, E. Providas
semanticscholar   +1 more source

Modeling heterogeneity in large‐scale bioreactors using the method of moments with a truncated normal distribution

AIChE Journal, Volume 71, Issue 10, October 2025.
ABSTRACT Large‐scale bioreactors in industrial bioprocesses pose challenges due to extracellular concentration gradients and intracellular heterogeneity. This study introduces a novel approach integrating the method of moments with truncated normal distributions (MM‐TND) to model intracellular heterogeneity while maintaining computational feasibility ...
Ittisak Promma, Marc G. Aucoin, Nasser Mohieddin Abukhdeir, Hector Budman   +3 more
wiley   +1 more source

Matrix Methods for Solving Hartree-Fock Equations in Atomic Structure Calculations and Line Broadening

Atoms, 2018
Atomic structure of N-electron atoms is often determined by solving the Hartree-Fock equations, which are a set of integro-differential equations. The integral part of the Hartree-Fock equations treats electron exchange, but the Hartree-Fock equations ...
Thomas Gomez, Taisuke Nagayama, Chris Fontes, Dave Kilcrease, Stephanie Hansen, Mike Montgomery, Don Winget   +6 more
doaj   +1 more source