11 citations · 27 across the 5 of their papers we have counts for
5 papers
Towards an FMI Layered Standard for DAE: Applications for Simulation and Optimization
Elmir Nahodovic, Andreas Heuermann, Joel A. E. Andersson +9
The Functional Mock-up Interface (FMI) 3.0 standard for Model Exchange is restricted to hybrid ordinary differential equations, requiring any internal algebraic equations to be sol…
Efficient simulations of tubulin-driven axonal growth
Stefan Diehl, Erik Henningsson, Anders Heyden
This work concerns efficient and reliable numerical simulations of the dynamic behaviour of a moving-boundary model for tubulin-driven axonal growth. The model is nonlinear and con…
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…
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…
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…