Results 251 to 260 of about 104,752 (294)

Singular perturbations for deterministic control problems

IFAC Proceedings Volumes, 1984
Lecture Notes in Control and Information Sciences Vol ...
openaire   +2 more sources

On the Schrödinger Singular Perturbation Problem

SIAM Journal on Mathematical Analysis, 1985
Summary: The Schrödinger singular perturbation problem arises in quantum mechanics and consists of approximating certain solutions of the Klein- Gordon equations by solutions of the Schrödinger equation in functions of a small parameter. We consider here an abstract version for operator equations in Banach spaces.
openaire   +1 more source

On a Singular Perturbation Problem

1994
A uniformly valid asymptotic approximation is constructed for the solution to the initial value problem $$\ddot v + \varepsilon t\dot v + v = 0, v(0) = 0, \dot v(0) = 1$$ , as e → 0. From this, it is deduced that if et → 0 then $$v(t,\varepsilon ) \sim {e^{ - \varepsilon {t^2}/4}}\sin t$$ , and if et → ∞ then $$v(t,\varepsilon ) \sim \
K.-C. Ng, R. Wong
openaire   +1 more source

Monotone Difference Schemes for Singular Perturbation Problems

SIAM Journal on Numerical Analysis, 1982
We consider numerical solutions of the boundary value problem $\varepsilon y'' - (f(y))' - b(x,y) = 0$, $0 \leqq x \leqq 1$, $y(0) = A$, $y(1) = B$, $\varepsilon < 0$, $b_y \geqq \delta < 0$, with monotone difference schemes on nonuniform grids. We prove general convergence results and show that the Engquist–Osher monotone scheme will reproduce ...
Abrahamsson, Leif, Osher, Stanley
openaire   +2 more sources

On nonlinear singular perturbation problems

Nonlinear Analysis: Theory, Methods & Applications, 1990
We consider two types of singular perturbation problems.
openaire   +1 more source

Some singular singularly-perturbed problems. II.

1999
Summary: This paper continuous part I published in the previous number of the same volume. For the corresponding summary see [ibid. 15, No. 3, 260--271 (1999; Zbl 0968.34015)].
Chang, K. W., Meng, J.
openaire   +2 more sources

Singular perturbations of elliptic problems

Annali di Matematica Pura ed Applicata, 1973
The paper treates applications of singular perturbations of variational inequalities, to differential problems. Some informations on the boundary layer phenomenon are obtained.
openaire   +1 more source

Singular Perturbation Problems Involving Curvature

2015
Consider an anisotropic area functional, giving rise to a variational principle for the shape of crystal surfaces. Sometimes such a functional is regularised with an additional curvature term to avoid difficulties coming from a lack of convexity. We study the asymptotic behaviour of the resulting functional as the strength of the regularisation tends ...
openaire   +1 more source

One-Dimensional Singular Perturbed Problems

2017
In this chapter, we introduce a singular perturbed problem and a numerical difficulty associate with its discretization. We first consider the one-dimensional advective dominated advection-diffusion problem, both in terms of numerical solutions and its asymptotic expansion. We then consider a more general asymptotic expansion, including a reaction term
openaire   +1 more source

Singular Perturbations Of Cauchy's Problem.

1967
PhD ; Mathematics ; University of Michigan, Horace H. Rackham School of Graduate Studies ; http://deepblue.lib.umich.edu/bitstream/2027.42/185105/2/6807655 ...
openaire   +2 more sources