Results 81 to 90 of about 54,244 (231)

A parameter uniform fitted mesh method for a weakly coupled system of two singularly perturbed convection-diffusion equations [PDF]

, 2018
In this paper, a boundary value problem for a singularly perturbed linear system of two second order ordinary differential equations of convection- diffusion type is considered on the interval [0, 1]. The components of the solution of this system exhibit
Kalaiselvan, Saravana Sankar, Miller, John J. H., Sigamani, Valarmathi   +2 more
core   +2 more sources

A Higher-Order Energy Expansion to Two-Dimensional Singularly Neumann Problems [PDF]

, 2005
Of concern is the following singularly perturbed semilinear elliptic problem \begin{equation*} \left\{ \begin{array}{c} \mbox{${\epsilon}^2\Delta u -u+u^p =0$ in $\Omega$}\\ \mbox{$u>0$ in $\Omega$ and $
Wei, J, Winter, M, Yeung, W-K
core  

Factoring in the Micro: A Transaction‐Level Dynamic Factor Approach to the Decomposition of Export Volatility

Oxford Bulletin of Economics and Statistics, Volume 87, Issue 1, Page 155-184, February 2025.
This paper analyzes the export volatility sources estimating a dynamic factor model on transaction‐level data. Utilizing an exhaustive dataset of French export transactions from 1993 to 2017, we reconstruct the latent factors space associated with global and destination‐specific macroeconomic shocks through a Quasi‐Maximum likelihood approach which ...
Matteo Barigozzi, Angelo Cuzzola, Marco Grazzi, Daniele Moschella   +3 more
wiley   +1 more source

A Layer-Adapted Numerical Method for Singularly Perturbed Partial Functional-Differential Equations

Axioms
This article describes an effective computing method for singularly perturbed parabolic problems with small negative shifts in convection and reaction terms. To handle the small negative shifts, the Taylor series expansion is used.
Ahmed A. Al Ghafli, Fasika Wondimu Gelu, Hassan J. Al Salman   +2 more
doaj   +1 more source

Singularly perturbed boundary value problems

Differential and Integral Equations, 1994
The author considers the system \(-\varepsilon^ 2 u''+g_ 1 (u,v,x,\varepsilon) =0\), \(v''+g_ 2(u,v,x,\varepsilon)=0\), \(v(0)=v(1)=u(0)=u(1)=0\), \(x \in[0,1]\), \(\varepsilon \neq 0\), where \(g_ 1\), \(g_ 2\) are continuous functions specially choosen by the author, \(\varepsilon\) is a small parameter.
openaire   +3 more sources

A Multiparameter Singular Perturbation Analysis of the Robertson Model

Studies in Applied Mathematics, Volume 154, Issue 2, February 2025.
ABSTRACT The Robertson model describing a chemical reaction involving three reactants is one of the classical examples of stiffness in ODEs. The stiffness is caused by the occurrence of three reaction rates k1,k2,${k}_{1},{k}_{2},$ and k3,${k}_{3},$ with largely differing orders of magnitude, acting as parameters.
Lukas Baumgartner, Peter Szmolyan
wiley   +1 more source

Singularly Perturbed Dirichlet Problems With Subquadratic Nonlinearities [PDF]

Transactions of the American Mathematical Society, 1987
Boundary and interior layer theory is provided for a class of singularly perturbed Dirichlet problems with subquadratic nonlinearities in the derivative terms. The results obtained generalize and extend well-known results on the semilinear problem.
openaire   +1 more source

Adaptation of Archaeal Communities to Summer Hypoxia in the Sediment of Bohai Sea

Ecology and Evolution, Volume 15, Issue 1, January 2025.
The spatial–temporal variation of DO leads to distinct switches in community composition and abundance of archaea. Diversity of archaea communities increased significantly with the intensity of oxygen depletion. Specific nitrogen transformation enzymes encoded by archaea ensure the balance of N budget in hypoxia zone of Bohai Sea.
Xiaoxiao Guo, Yanying Li, Guisheng Song, Liang Zhao, Jing Wang   +4 more
wiley   +1 more source

Singular perturbation boundary and interior layers problems with multiple turning points

Boundary Value Problems
In the study of singularly perturbed boundary problems with turning points, the solution undergoes sharp changes near these points and exhibits various interior phenomena.
Xinyu Wang, Na Wang
doaj   +1 more source

Quartic B-Spline Technique for Third-Order Linear Singularly Perturbed Boundary Value Problem with Discontinuous Source Term [PDF]

International Journal of Mathematical, Engineering and Management Sciences
In this paper, we developed an effective computational technique for addressing third-order linear singularly perturbed problems having the source term discontinuous.
Shilpkala T. Mane, Ram Kishun Lodhi
doaj   +1 more source