Results 11 to 20 of about 91,926 (215)
Singularly perturbed dynamics of the tippedisk. [PDF]
Proc Math Phys Eng Sci, 2021 The tippedisk is a mathematical-mechanical archetype for a peculiar friction-induced instability phenomenon leading to the inversion of an unbalanced spinning disc, being reminiscent of (but different from) the well-known inversion of the tippetop.
Sailer S, Leine RI.
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Linear Singularly Perturbed Systems
Ukrainian Mathematical Journal, 2002 This paper deals with singularly perturbed linear systems of the form \[ \epsilon B(t)\dot x=(A_0(t)+\epsilon A_1(t))x. \] The case is studied where the matrix pencil \(A_0(t)-\lambda B(t)\) is singular so that \(\det B(t)\equiv0\) and \(\det(A_0(t)-\lambda B(t))\equiv0\).
Starun, I. I., Shkil', M. I.
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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 $
Yeung, W-K, Winter, M, Wei, J
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Maximum norm a posteriori error estimate for a 2d singularly perturbed semilinear reaction-diffusion problem [PDF]
, 2008 A singularly perturbed semilinear reaction-diffusion equation, posed in the unit square, is discretized on arbitrary nonuniform tensor-product meshes. We establish a second-order maximum norm a posteriori error estimate that holds true uniformly in the ...
Kopteva, Natalia
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Singularly perturbed profiles [PDF]
IMA Journal of Applied Mathematics, 2018 18 pages, 5 ...
Bykov, V. +4 more
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Maximum norm a posteriori error estimation for parabolic problems using elliptic reconstructions [PDF]
, 2013 A semilinear second-order parabolic equation is considered in a regular and a singularly perturbed regime. For this equation, we give computable a posteriori error estimates in the maximum norm.
Linss, Torsten, Kopteva, Natalia
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Singularly Perturbed Piecewise Deterministic Games [PDF]
SIAM Journal on Control and Optimization, 2008 In this paper we consider a class of hybrid stochastic games with the piecewise open-loop information structure. These games are indexed over a parameter $\varepsilon$ which represents the time scale ratio between the stochastic (jump process) and the deterministic (differential state equation) parts of the dynamical system. We study the limit behavior
Alain Haurie, Francesco Moresino
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Singularly Perturbed Oscillators with Exponential Nonlinearities [PDF]
Journal of Dynamics and Differential Equations, 2021 AbstractSingular exponential nonlinearities of the form$$e^{h(x)\epsilon ^{-1}}$$eh(x)ϵ-1with$$\epsilon >0$$ϵ>0small occur in many different applications. These terms have essential singularities for$$\epsilon =0$$ϵ=0leading to very different behaviour depending on the sign ofh.
S. Jelbart +3 more
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Computing singularly perturbed differential equations [PDF]
Journal of Computational Physics, 2018 A computational tool for coarse-graining nonlinear systems of ordinary differential equations in time is discussed. Three illustrative model examples are worked out that demonstrate the range of capability of the method. This includes the averaging of Hamiltonian as well as dissipative microscopic dynamics whose `slow' variables, defined in a precise ...
Sabyasachi Chatterjee +2 more
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A numerical technique for solving nonlinear singularly perturbed delay differential equations
Mathematical Modelling and Analysis, 2018 This paper presents a numerical technique for solving nonlinear singularly perturbed delay differential equations. Quasilinearization technique is applied to convert the nonlinear singularly perturbed delay differential equation into a sequence of linear
A.S.V. Ravi Kanth, Mohan Kumar P. Murali
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