Results 61 to 70 of about 82 (78)

Saddle-node bifurcation of viscous profiles.

open access: yesPhysica D, 2012
Achleitner F, Szmolyan P.
europepmc   +1 more source

Exponential stability analysis of delayed partial differential equation systems: Applying the Lyapunov method and delay-dependent techniques.

open access: yesHeliyon
Tian H   +7 more
europepmc   +1 more source

ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO SINGULARLY PERTURBED ODE OF SINE-GORDON TYPE (Singularity theory and Differential equations)

open access: yesASYMPTOTIC BEHAVIOR OF SOLUTIONS TO SINGULARLY PERTURBED ODE OF SINE-GORDON TYPE (Singularity theory and Differential equations)
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Uniformly convergent scheme for fourth-order singularly perturbed convection-diffusion ODE

Applied Numerical Mathematics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Satpal Singh   +2 more
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Singularly perturbed nonlinear ODEs and interior point optimization algorithms

Proceedings of 1995 American Control Conference - ACC'95, 2005
This paper explores the continuous realizations of iterative processes emanating from interior point optimization algorithms, and their connection with nonlinear singularly-perturbed ordinary differential equations. This mathematical connection provides a theoretical framework for the analysis of the dynamical properties long known and exploited in ...
Ezzine, J., Ben-Daya, M.
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Dichotomies and stability in singularly perturbed systems of O.D.E.

Nonlinear Analysis: Theory, Methods & Applications, 1987
The authors consider the singularly perturbed initial value problem \((1.1a)\quad \dot x=F(t,x,y,\epsilon),\) \(x(0)=x^ 0\), \((1.1b)\quad \epsilon \dot y=G(t,x,y,\epsilon),\) \(y(0)=y^ 0\), where \(x,F\in {\mathbb{R}}^ n\) and \(y,G\in {\mathbb{R}}^ m\).
Battelli, Flaviano, Lazzari, Claudio
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A Parameter-Uniform Tailored Finite Point Method for Singularly Perturbed Linear ODE Systems

Journal of Computational Mathematics, 2013
In scientific applications from plasma to chemical kinetics, a wide range of temporal scales can present in a system of differential equations. A major difficulty is encountered due to the stiffness of the system and it is required to develop fast numerical schemes that are able to access previously unattainable parameter regimes.
Houde Han, J.J.H. Miller null, Min Tang
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Solving second-order singularly perturbed ODE by the collocation method based on energetic Robin boundary functions

Applications of Mathematics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Chein-Shan, Li, Botong
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On singularly perturbed systems of ODE with a multiple root of the degenerate equation

Izvestiya: Mathematics, 2020
Abstract We consider a boundary-value problem for a system of two second-order ODE with distinct powers of a small parameter at the second derivative in the first and second equations. When one of the two equations of the degenerate system has a double root, the asymptotic behaviour of the boundary-layer solution of the boundary-value
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