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A Posteriori Error Analysis for A Class of Integral Equations and Variational Inequalities
Integral Equations Variational Inequalities
2015/12/11
We consider elliptic and parabolic variational equations and inequalities governed by
integro-differential operators of order 2s ∈ (0,2]. Our main motivation is the pricing of European
or Amer...
Uniform convergence analysis of an upwind finite difference approximations of an homogenous singularly perturbed boundary value problem using grid equidistribution
singular perturbation adaptive grid rate of convergence error estimate
2011/10/13
We derive varepsilon-uniform error estimates for two first-order upwind discretizations of a model inhomogeneous, second-order, singularly perturbed boundary value problem on a non-uniform grid. Here,...
k-wise Erdős-Ko-Rado Theorems: Stability Analysis and New Generalizations
intersection theorems stability matchings
2010/9/22
We consider the following generalization of the seminal Erdős-Ko-Rado theorem, due to Frankl [6]. For some k ≥ 2, let F be a k-wise intersecting family of r-subsets of an n element set X, i.e. fo...
A unifying framework for the derivation and analysis of effective classes of one-step methods for ODEs
Ordinary differential equations Runge-Kutta methods one-step methods Hamiltonian problems
2010/9/1
In this paper, we provide a simple framework to derive and analyse several classes of effective one-step methods. The framework consists in the discretization of a local Fourier expansion of the conti...
This paper deals with the stability analysis of $\theta -$methods for the
numerical solution of delay differential equations (DDEs). We focus on
the behaviour of such methods in the solution of the ...