31 citations · 52 across the 14 of their papers we have counts for
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math.NA2018★ 13 cited
Computable upper error bounds for Krylov approximations to matrix exponentials and associated -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…