Conveners
Analysis
- Anastasia Molchanova
In this talk, we provide a first-order homogenization result for quadratic functionals via a variational approach. In particular, we identify the scaling of the energy and the explicit form of the limiting functional in terms of the first-order correctors. The main novelty of the paper is the use of the dual correspondence between quadratic functionals and PDEs, combined with a refinement of...
Let $C_1, \dots, C_K$ be closed, convex and quasi-symmetric subsets of a Hilbert space $H$ with a nonempty intersection $C=\bigcap_1^K C_j$.
A sequence of indices $\alpha\in \{1,\dots,K\}^{\mathbb N}$ and $x_0\in H$ generate the sequence of projections
$$
x_{n+1}=P_{\alpha(n)}x_n, \qquad n=0,1,2,\dots;
$$
here $P_{\alpha(n)}$ denotes the nearest point projection onto the convex set ...
In this talk, we approximate the stochastic heat equation on the sphere driven by additive Lévy random field by a spectral method in space and forward and backward Euler-Maruyama schemes in time. Our spectral approximation is based on a truncation of the series expansion with respect to the real-valued spherical harmonics. We provide strong convergence rates, convergence of the expectation and...