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5 papers · 2 filters
The calculation of the distance to a nearby defective matrix
Melina A. Freitag, Alastair Spence
In this paper a new fast algorithm for the computation of the distance of a matrix to a nearby defective matrix is presented. The problem is formulated following Alam & Bora (Linea…
Filon-Clenshaw-Curtis rules for highly-oscillatory integrals with algebraic singularities and stationary points
V. Dominguez, I. G. Graham, T. Kim
In this paper we propose and analyse composite Filon-Clenshaw-Curtis quadrature rules for integrals of the form $I_{k}^{[a,b]}(f,g) := \int_a^b f(x) \exp(\mathrm{i}kg(x)) \rd x $,…
Multilevel Monte Carlo methods for highly heterogeneous media
A. L. Teckentrup
We discuss the application of multilevel Monte Carlo methods to elliptic partial differential equations with random coefficients. Such problems arise, for example, in uncertainty q…
Further analysis of multilevel Monte Carlo methods for elliptic PDEs with random coefficients
A. L. Teckentrup, R. Scheichl, M. B. Giles +1
We consider the application of multilevel Monte Carlo methods to elliptic PDEs with random coefficients. We focus on models of the random coefficient that lack uniform ellipticity…
Potential integrals on triangles
Michael Carley
The problem of evaluating potential integrals on planar triangular elements has been addressed using a polar coordinate decomposition. The resulting formulae are general, exact, ea…