7 citations · 17 across the 10 of their papers we have counts for
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math.NA2015★ 2 cited
A full space-time convergence order analysis of operator splittings for linear dissipative evolution equations
Eskil Hansen, Erik Henningsson
The Douglas--Rachford and Peaceman--Rachford splitting methods are common choices for temporal discretizations of evolution equations. In this paper we combine these methods with s…
math.NA2015★ 7 cited
A Convergence Analysis of the Peaceman--Rachford Scheme for Semilinear Evolution Equations
Eskil Hansen, Erik Henningsson
The Peaceman--Rachford scheme is a commonly used splitting method for discretizing semilinear evolution equations, where the vector fields are given by the sum of one linear and on…
math.NA2015★ 7 cited
Additive domain decomposition operator splittings -- convergence analyses in a dissipative framework
Eskil Hansen, Erik Henningsson
We analyze temporal approximation schemes based on overlapping domain decompositions. As such schemes enable computations on parallel and distributed hardware, they are commonly us…