The rational Krylov space is recognized as a powerful tool within model order reduction
techniques for linear dynamical systems. However, its success has been hindered by the …

Matrix functions are a central topic of linear algebra, and problems of their numerical
approximation appear increasingly often in scientific computing. We review various rational …

A computational method is given for solving the forward modelling problem for transient
electromagnetic exploration. Its key features are the discretization of the quasi-static …

Time-domain problems for controlled-source electromagnetic exploration require accurate
discretization of the solution for multiple spacial and temporal scales. Therefore, forward …

We consider the approximation of the matrix φ-functions that appear in exponential
integrators for stiff systems of differential equations. For stiff systems, the field-of-values of …

We analyze the convergence of an extended Krylov subspace method for the approximation
of operator functions that appear in exponential integrators. For operators, the size of the …

Transient data controlled-source electromagnetic measurements are usually interpreted via
extracting few frequencies and solving the corresponding inverse frequency-domain …

The Krylov subspace projection approach is a well-established tool for the reduced-order
modeling of dynamical systems in the time domain. In this paper, we address the main …

This work develops a model order reduction method for a numerical solution of an inverse
multi-frequency eddy current problem using a rational interpolation of the transfer function in …

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