Publications by Christine Tobler

Probabilistische Schadens-szenarien für den Kanton Basel-Stadt

Pierino Lestuzzi, Christine Tobler, Clotaire Michel

Dieser Beitrag präsentiert die Berechnung und Ergebnisse von drei Schadensszenarien für den Kanton Basel-Stadt. Bei der Berechnung wurden vorhandene Modelle für die Analyse der Bodenbewegungen und der Gebäudeverletzbarkeit mit einem probabilistischen Ansat ...

2019

Low-rank tensor approximation for high-order correlation functions of Gaussian random fields

Fabio Nobile, Daniel Kressner, Christine Tobler, Rajesh Kumar

Gaussian random fields are widely used as building blocks for modeling stochastic processes. This paper is concerned with the efficient representation of d-point correlations for such fields, which in turn enables the representation of more general stochas ...

2015

Algorithm 941: htucker-A MATLAB Toolbox for Tensors in Hierarchical Tucker Format

Daniel Kressner, Christine Tobler

The hierarchical Tucker format is a storage-efficient scheme to approximate and represent tensors of possibly high order. This article presents a MATLAB toolbox, along with the underlying methodology and algorithms, which provides a convenient way to work ...

Assoc Computing Machinery2014

A preconditioned low-rank CG method for parameter-dependent Lyapunov matrix equations

Daniel Kressner, Christine Tobler

This paper is concerned with the numerical solution of symmetric large-scale Lyapunov equations with low-rank right-hand sides and coefficient matrices depending on a parameter. Specifically, we consider the situation when the parameter dependence is suffi ...

Wiley-Blackwell2013

An Error Analysis Of Galerkin Projection Methods For Linear Systems With Tensor Product Structure

Daniel Kressner, Christine Tobler

Recent results on the convergence of a Galerkin projection method for the Sylvester equation are extended to more general linear systems with tensor product structure. In the Hermitian positive definite case, explicit convergence bounds are derived for Gal ...

Society for Industrial and Applied Mathematics2013

Preconditioned Low-Rank Methods for High-Dimensional Elliptic PDE Eigenvalue Problems

Daniel Kressner, Christine Tobler

De Gruyter, De Gruyter2011

Low-rank tensor Krylov subspace methods for parametrized linear systems

Daniel Kressner, Christine Tobler

We consider linear systems A(alpha)x(alpha) - b(alpha) depending on possibly many parameters alpha = (alpha(1), ... , alpha(p)). Solving these systems simultaneously for a standard discretization of the parameter range would require a computational effort ...

Society for Industrial and Applied Mathematics2011