O. Koch

activity

20112023

most citedTotal-Variation-Diminishing Implicit-Explicit Runge-Kutta Methods for the Simulation of Double-Diffusive Convection in Astrophysics

40 citations · 93 across the 16 of their papers we have counts for

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Showing 2018Show all

2 papers · 1 filter

math.NA2018★ 13 cited

Computable upper error bounds for Krylov approximations to matrix exponentials and associated $φ$ -functions

Tobias Jawecki, Winfried Auzinger, Othmar Koch

An a posteriori estimate for the error of a standard Krylov approximation to the matrix exponential is derived. The estimate is based on the defect (residual) of the Krylov approxi…

math.NA2018

Symmetrized local error estimators for time-reversible one-step methods in nonlinear evolution equations

Winfried Auzinger, Harald Hofstätter, Othmar Koch

Prior work on computable defect-based local error estimators for (linear) time-reversible integrators is extended to nonlinear and nonautonomous evolution equations. We prove that…

Computable upper error bounds for Krylov approximations to matrix exponentials and associated φ-functions

Symmetrized local error estimators for time-reversible one-step methods in nonlinear evolution equations

Computable upper error bounds for Krylov approximations to matrix exponentials and associated $φ$ -functions