Results 61 to 70 of about 13,060 (202)

Numerical Analysis of the Shortest Queue Problem for a Time-Scalable Queuing System with a Small Parameter on a Non-Uniform Grid Scheme

Современные информационные технологии и IT-образование, 2022
In this paper, we use numerical methods using an uneven Shishkin grid to analyze the queue lengths of a time-scalable queuing system ( ) for which there is a Poisson incoming flow of requests with an intensity and service time , where is the service
Mohamed Adel Bouatta, Sergey Vasilyev, Shakhmurad Kanzitdinov, Galina Tsareva   +3 more
doaj   +1 more source

Construction of a global solution for the one dimensional singularly-perturbed boundary value problem

, 2017
We consider an approximate solution for the one-dimensional semilinear singularly-perturbed boundary value problem, using the previously obtained numerical values of the boundary value problem in the mesh points and the representation of the exact ...
Barakovic, Elvis, Duvnjaković, Enes, Karasuljić, Samir, Pasic, Vedad   +3 more
core   +1 more source

Parametrized Singularly Perturbed Boundary Value Problems

Journal of Mathematical Analysis and Applications, 1994
Boundary value problems for some \((\varepsilon,\lambda)\)-families of singularly perturbed higher order ordinary differential equations are considered. The author applies an approach of his paper [J. Differ. Equation 106, 312-331 (1993)] to give the lower estimates for the number of parameters \(\lambda\in \mathbb{R}^ m\) for which those equations ...
openaire   +2 more sources

Neural Ordinary Differential Equations for Model Order Reduction of Stiff Systems

International Journal for Numerical Methods in Engineering, Volume 126, Issue 12, 30 June 2025.
ABSTRACT Neural Ordinary Differential Equations (ODEs) represent a significant advancement at the intersection of machine learning and dynamical systems, offering a continuous‐time analog to discrete neural networks. Despite their promise, deploying neural ODEs in practical applications often encounters the challenge of stiffness, a condition where ...
Matteo Caldana, Jan S. Hesthaven
wiley   +1 more source

Singularly perturbed elliptic problems in exterior domains

Differential and Integral Equations, 2000
The paper deals with the following problem: \[ -\varepsilon^2\Delta u+u=u^{p-1},\quad u>0\text{ in }\Omega,\quad u\in H^1_0 (\Omega) \tag{1} \] where \(\Omega\) is a domain in \(\mathbb{R}^N\) such that \(\mathbb{R}^N \setminus \Omega\) is a bounded open set ...
Dancer, E. N., Yan, Shusen
openaire   +3 more sources

Scaling Exponents of Turbulent Static Pressure Structure Function in the Inertial Subrange

Geophysical Research Letters, Volume 52, Issue 11, 16 June 2025.
Abstract The measured variations in the turbulent static pressure structure function Dpp(r) ${D}_{pp}(r)$ with scale r $r$ in the roughness sublayer above a subarctic forest are empirically shown to exhibit exponents that are smaller than r4/3 ${r}^{4/3}$ predicted for the inertial subrange (ISR).
Gabriel G. Katul, Toprak Aslan, Mika Aurela   +2 more
wiley   +1 more source

Asymptotic estimates of the solution for a singularly perturbed Cauchy problem

Қарағанды университетінің хабаршысы. Математика сериясы
The article focuses on the initial problem for a third-order linear integro-differential equation with a small parameter at the higher derivatives, assuming that the roots of the additional characteristic equation have opposite signs.
N.U. Bukanay, A.E. Mirzakulova, A.T. Assanova   +2 more
doaj   +1 more source

Singularly perturbed Choquard equations with nonlinearity satisfying Berestycki-Lions assumptions

Advances in Nonlinear Analysis, 2019
In the present paper, we consider the following singularly perturbed problem:
Tang Xianhua, Chen Sitong
doaj   +1 more source

Second order parameter-uniform convergence for a finite difference method for a singularly perturbed linear reaction-diffusion system [PDF]

, 2010
A singularly perturbed linear system of second order ordinary differential equations of reaction-diffusion type with given boundary conditions is considered. The leading term of each equation is multiplied by a small positive parameter.
Miller, J. J. H., Paramasivam, M., Valarmathi, S.   +2 more
core   +2 more sources

An Intial-Value Technique for Self-Adjoint Singularly Perturbed Two-Point Boundary Value Problems

International Journal of Applied Mechanics and Engineering, 2020
In this paper, we present an initial value technique for solving self-adjoint singularly perturbed linear boundary value problems. The original problem is reduced to its normal form and the reduced problem is converted to first order initial value ...
P. Padmaja, P. Aparna, R.S.R. Gorla
doaj   +1 more source