Results 31 to 40 of about 113,433 (127)
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
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Structure Preserving Nodal Continuous Finite Elements via Global Flux Quadrature
Numerical Methods for Partial Differential Equations, Volume 41, Issue 1, January 2025.ABSTRACT Numerical methods for hyperbolic PDEs require stabilization. For linear acoustics, divergence‐free vector fields should remain stationary, but classical Finite Difference methods add incompatible diffusion that dramatically restricts the set of discrete stationary states of the numerical method. Compatible diffusion should vanish on stationary
Wasilij Barsukow +2 more
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Numerical Solution of Singularly Perturbed Two Parameter Problems using Exponential Splines [PDF]
, 2021 In this paper, we have studied a method based on exponential splines for numerical solution of singularly perturbed two parameter boundary value problems. The boundary value problem is solved on a Shishkin mesh by using exponential splines.
Padmaja, P. +9 more
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Boundary Value ProblemsThis work introduces a numerical technique designed to efficiently solve a specific type of differential equations known as a weakly coupled system of singularly perturbed delay differential equations.
Dany Joy +2 more
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Journal of Differential EquationsNew results on the behaviour of the fast motion in slow-fast systems of ODEs with dependence on the fast time are given in terms of tracking of nonautonomous attractors. Under quite general assumptions, including the uniform ultimate boundedness of the solutions of the layer problems, inflated pullback attractors are considered.
Longo, Iacopo P. +3 more
openaire +4 more sources
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 105, Issue 1, January 2025.Abstract This contribution is concerned with the well‐posedness and homogenization of an ordinary differential equation (ODE) of Arrhenius‐type coupled with a doubly nonlinear parabolic partial differential equation (PDE) with rapidly oscillating coefficients and taking into account disparate diffusion‐reaction time scales, including regularly as well ...
Michal Beneš +2 more
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Spikes for the two-dimensional Gierer-Meinhardt system: The weak coupling case [PDF]
, 2001 In this paper, we rigorously prove the existence and stability of multiple-peaked patterns for the singularly perturbed Gierer-Meinhardt system in a two dimensional domain which are far from spatial homogeneity.
Winter, M, Wei, J
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IET Smart Grid, Volume 8, Issue 1, January/December 2025.Equivalent models, including surrogate models, reduced‐order models (ROMs) and hybrid models, have garnered considerable attention. This paper first summarises the challenges in DER‐based power system simulation. Then, we categorise equivalence modelling techniques along with their advantages while addressing simulation difficulties and accordingly ...
Ke Wang, Yang Cao, Wei Gu
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Abstract Book for the 27th Congress of the European Hematology Association
, 2022 HemaSphere, Volume 6, Issue S3, Page 1-4130, June 2022.
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Journal of Physics: ComplexityThis study analyses a previously published mathematical model (Le Sauteur-Robitaille et al 2023 Cancer Biol. Ther. 24 2283926), formulated as a system of first-order nonlinear ordinary differential equations (ODEs) to investigate therapeutic strategies ...
Ophir Nave, Pnina Barasheshet
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