Results 301 to 310 of about 1,053,175 (373)
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Slow State Variables Feedback Stabilization for Semi-Markov Jump Systems With Singular Perturbations
IEEE Transactions on Automatic Control, 2018The slow state variables feedback stabilization problem for semi-Markov jump discrete-time systems with slow sampling singular perturbations is discussed in this work.
Hao Shen +3 more
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Convergence rate in homogenization of elliptic systems with singular perturbations
Journal of Mathematics and Physics, 2019We consider the optimal convergence rate in periodic homogenization of second order elliptic systems involving singular perturbations in bounded domains. By introducing proper auxiliary functions, we establish the sharp convergence rate in L2(Ω) by using
Weisheng Niu, Yue Yuan
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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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