During the last years, low‐rank tensor approximation has been established as a new tool in
scientific computing to address large‐scale linear and multilinear algebra problems, which …

The numerical solution of PDE-constrained optimization problems subject to the
nonstationary Navier--Stokes equation is a challenging task. While space-time approaches …

We show that the discrete operator stemming from time-space discretization of evolutionary
partial differential equations can be represented in terms of a single Sylvester matrix …

Feedback control problems involving autonomous quadratic systems are prevalent, yet very
few software tools are available for approximating their solution. This paper represents a …

The aim of this paper is to propose a robust numerical solver, which is capable of efficiently
solving a three-dimensional elliptic problem in a data-sparse quantized tensor format. In …

In this paper, a first order implicit finite difference scheme with Krylov subspace linear system
solver is employed to solving time-dependent space-fractional diffusion equations in high …

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 …

Over the last decades, fractional differential equations interested researchers by their
capability for modelling anomalous diffusion processes of either sub diffusion or super …

Over the last decades, fractional partial differential equations (FPDEs) have been
recognized of providing adequate information about anomalous diffusion phenomena. In …

The aim of this paper is to propose a robust numerical solver, which is capable of efficiently
solving a three-dimensional elliptic problem in a data-sparse quantized tensor format. In …