16 research outputs found
Local existence and uniqueness for a two-dimensional surface growth equation with space--time white noise
We study local existence and uniqueness for a surface growth model with
space-time white noise in 2D. Unfortunately, the direct fixed-point argument
for mild solutions fails here, as we do not have sufficient regularity for the
stochastic forcing. Nevertheless, one can give a rigorous meaning to the
stochastic PDE and show uniqueness of solutions in that setting. Using spectral
Galerkin method and any other types of regularization of the noise, we obtain
always the same solution
Proceedings of minisemester on evolution of interfaces, Sapporo 2010
conf: Special Project A, Proceedings of minisemester on evolution of interfaces, Sapporo (Department of Mathematics, Hokkaido University, July 12- August 13, 2010
MS FT-2-2 7 Orthogonal polynomials and quadrature: Theory, computation, and applications
Quadrature rules find many applications in science and engineering. Their analysis is a classical area of applied mathematics and continues to attract considerable attention. This seminar brings together speakers with expertise in a large variety of quadrature rules. It is the aim of the seminar to provide an overview of recent developments in the analysis of quadrature rules. The computation of error estimates and novel applications also are described