149 citations · 414 across the 23 of their papers we have counts for
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math.NA2014★ 24 cited
A posteriori error estimates for leap-frog and cosine methods for second order evolution problems
Emmanuil H. Georgoulis, Omar Lakkis, Charalambos Makridakis +1
We consider second order explicit and implicit two-step time-discrete schemes for wave-type equations. We derive optimal order aposteriori estimates controlling the time discretiza…
math.NA2014★ 28 cited
A posteriori analysis of discontinuous Galerkin schemes for systems of hyperbolic conservation laws
Jan Giesselmann, Charalambos Makridakis, Tristan Pryer
In this work we construct reliable a posteriori estimates for some discontinuous Galerkin schemes applied to nonlinear systems of hyperbolic conservation laws. We make use of appro…