Results 221 to 230 of about 1,034,900 (267)

SINGULAR PERTURBATION AND INTERPOLATION

Mathematical Models and Methods in Applied Sciences, 1994
It 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
openaire   +3 more sources

Convergence rate in homogenization of elliptic systems with singular perturbations

Journal of Mathematics and Physics, 2019
We 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
semanticscholar   +1 more source

Singular Perturbations of Bifurcations

SIAM Journal on Applied Mathematics, 1977
An 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.
Bernard J. Matkowsky, Edward L. Reiss
openaire   +2 more sources

Corner singularities and singular perturbations

ANNALI DELL UNIVERSITA DI FERRARA, 2001
Summary: 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.
openaire   +3 more sources

Singular perturbation methods

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
openaire   +1 more source

Singular Perturbations in Manufacturing

SIAM Journal on Control and Optimization, 1993
Summary: 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.
openaire   +3 more sources

Semilinear singular perturbation

Nonlinear Analysis: Theory, Methods & Applications, 1995
A second-order periodic boundary value problem is considered. The method of upper and lower solutions is applied to prove the existence of a solution.
openaire   +2 more sources

Singular perturbation potentials

Annals of Physics, 1977
Abstract 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 ...
openaire   +2 more sources

Singular singular-perturbation problems

1977
Abstract : 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
openaire   +2 more sources

Fundamentals and developments in fluorescence-guided cancer surgery

Nature Reviews Clinical Oncology, 2021
Friso Achterberg, Aimen Zlitni, Merlijn Hutteman   +2 more
exaly