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math.NA2022
Krylov subspace residual and restarting for certain second order differential equations
M. A. Botchev, L. A. Knizhnerman, M. Schweitzer
We propose algorithms for efficient time integration of large systems of oscillatory second order ordinary differential equations (ODEs) whose solution can be expressed in terms of…
math.NA2022
Model order reduction of layered waveguides via rational Krylov fitting
Vladimir Druskin, Stefan Güttel, Leonid Knizhnerman
Rational approximation recently emerged as an efficient numerical tool for the solution of exterior wave propagation problems. Currently, this technique is limited to wave media wh…