Results 261 to 270 of about 1,163,546 (321)
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Singular Perturbations of Bifurcations
SIAM Journal on Applied Mathematics, 1977An asymptotic theory is presented to analyze perturbations of bifurcations of the solutions of nonlinear problems. The perturbations may result from imperfections, impurities, or other inhomogeneities in the corresponding physical problem. It is shown that for a wide class of problems the perturbations are singular.
Matkowsky, Bernard J., Reiss, Edward L.
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1999
Abstract This Chapter is concerned with approximating to the solutions of differential equations containing a small parameter E in what might be called difficult cases where, for one reason or another, a straightforward expansion of the solution in powers of c is unobtainable or unusable.
D W Jordan, P Smith
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Abstract This Chapter is concerned with approximating to the solutions of differential equations containing a small parameter E in what might be called difficult cases where, for one reason or another, a straightforward expansion of the solution in powers of c is unobtainable or unusable.
D W Jordan, P Smith
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Singular singular-perturbation problems
1977Abstract : Consider initial problems for nonlinear singularly perturbed systems of the form epsilon sub z dot = f(z,t,epsilon) in the singular situation that f sub z(z,t,0) has a nontrivial null space. Under appropriate hypotheses, such problems have asymptotic solutions as epsilon approaches 0 for t or = 0 consisting of the sum of a function of t and ...
R. E. O'Malley, J. E. Flaherty
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SINGULAR PERTURBATION AND INTERPOLATION
Mathematical Models and Methods in Applied Sciences, 1994It is well known that the rate of convergence of the solution uε of a singular perturbed problem to the solution u of the unperturbed equation can be measured in terms of the “smoothness” of u; smoothness which, in turn, can be expressed in terms of linear interpolation theory.
BAIOCCHI C., SAVARE', GIUSEPPE
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SSRN Electronic Journal, 2021
The Local Stochastic Volatility model is the main model used to take into account the correct pricing and hedging with the volatility dynamic. We introduce a new methodology that combines Singular perturbation analysis and exotic greek computation. We obtain asymptotic formulae for the LSV impact which work extremely well. Tests are performed on the
Florian Monciaud, Adil Reghai
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The Local Stochastic Volatility model is the main model used to take into account the correct pricing and hedging with the volatility dynamic. We introduce a new methodology that combines Singular perturbation analysis and exotic greek computation. We obtain asymptotic formulae for the LSV impact which work extremely well. Tests are performed on the
Florian Monciaud, Adil Reghai
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Singular Perturbations in Manufacturing
SIAM Journal on Control and Optimization, 1993Summary: An asymptotic analysis for a large class of stochastic optimization problems arising in manufacturing is presented. A typical example of the problems considered in this paper is a production planning problem with random capacity and demand.
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NAIVE SINGULAR PERTURBATION THEORY
Mathematical Models and Methods in Applied Sciences, 2001The paper demonstrates, via extremely simple examples, the shocks, spikes, and initial layers that arise in solving certain singularly perturbed initial value problems for first-order ordinary differential equations. As examples from stability theory, they are basic to many asymptotic techniques.
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Corner singularities and singular perturbations
ANNALI DELL UNIVERSITA DI FERRARA, 2001Summary: A corner singularity expansion is developed for a singularly perturbed elliptic boundary value problem. The problem is set in a sector of the plane. In the expansion, particular attention is paid to the singular perturbation parameter. The result is used to give pointwise bounds on derivatives of the solution.
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Singular perturbation potentials
Annals of Physics, 1977Abstract This is a perturbative analysis of the eigenvalues and eigenfunctions of Schrodinger operators of the form −Δ + A + λV, defined on the Hilbert space L2(Rn), where Δ = Σ i=1 n ∂ 2 ∂X i 2 , A is a potential function and V is a positive perturbative potential function which diverges at some finite point ...
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2020
In this chapter the topological asymptotic analysis of the energy shape functional associated with the Poisson’s equation, with respect to singular domain perturbations, is formally developed. In particular, we consider singular perturbations produced by the nucleation of small circular holes endowed with homogeneous Neumann, Dirichlet, or Robin ...
Antonio André Novotny, Jan Sokołowski
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In this chapter the topological asymptotic analysis of the energy shape functional associated with the Poisson’s equation, with respect to singular domain perturbations, is formally developed. In particular, we consider singular perturbations produced by the nucleation of small circular holes endowed with homogeneous Neumann, Dirichlet, or Robin ...
Antonio André Novotny, Jan Sokołowski
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