Adaptive rational Krylov subspaces for large-scale dynamical systems
V Druskin, V Simoncini - Systems & Control Letters, 2011 - Elsevier
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 …
techniques for linear dynamical systems. However, its success has been hindered by the …
Rational Krylov approximation of matrix functions: Numerical methods and optimal pole selection
S Güttel - GAMM‐Mitteilungen, 2013 - Wiley Online Library
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 …
approximation appear increasingly often in scientific computing. We review various rational …
Three-dimensional transient electromagnetic modelling using rational Krylov methods
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 …
electromagnetic exploration. Its key features are the discretization of the quasi-static …
Solution of 3D time-domain electromagnetic problems using optimal subspace projection
Time-domain problems for controlled-source electromagnetic exploration require accurate
discretization of the solution for multiple spacial and temporal scales. Therefore, forward …
discretization of the solution for multiple spacial and temporal scales. Therefore, forward …
Uniform Approximation of -Functions in Exponential Integrators by a Rational Krylov Subspace Method with Simple Poles
T Göckler, V Grimm - SIAM Journal on Matrix Analysis and Applications, 2014 - SIAM
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 …
integrators for stiff systems of differential equations. For stiff systems, the field-of-values of …
Convergence analysis of an extended Krylov subspace method for the approximation of operator functions in exponential integrators
T Göckler, V Grimm - SIAM Journal on Numerical Analysis, 2013 - SIAM
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 …
of operator functions that appear in exponential integrators. For operators, the size of the …
Large-scale Gauss-Newton inversion of transient controlled-source electromagnetic measurement data using the model reduction framework
Transient data controlled-source electromagnetic measurements are usually interpreted via
extracting few frequencies and solving the corresponding inverse frequency-domain …
extracting few frequencies and solving the corresponding inverse frequency-domain …
A Krylov stability-corrected coordinate-stretching method to simulate wave propagation in unbounded domains
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 …
modeling of dynamical systems in the time domain. In this paper, we address the main …
Adaptive model order reduction for the Jacobian calculation in inverse multi-frequency problem for Maxwell's equations
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 …
multi-frequency eddy current problem using a rational interpolation of the transfer function in …
A note on Krylov methods for fractional evolution problems
I Moret - Numerical Functional Analysis and Optimization, 2013 - Taylor & Francis
Full article: A Note on Krylov Methods for Fractional Evolution Problems Skip to Main Content
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