25 citations · 58 across the 13 of their papers we have counts for
8 papers · 1 filter
Parareal for Higher Index Differential Algebraic Equations
Idoia Cortes Garcia, Iryna Kulchytska-Ruchka, Sebastian Schöps
This article proposes modifications of the Parareal algorithm for its application to higher index differential algebraic equations (DAEs). It is based on the idea of applying the a…
Parallel-in-Time Solution of Eddy Current Problems Using Implicit and Explicit Time-stepping Methods
Idoia Cortes Garcia, Iryna Kulchytska-Ruchka, Markus Clemens +1
The time domain analysis of eddy current problems often requires the simulation of long time intervals, e.g. until a steady state is reached. Fast-switching excitations e.g. in pul…
Parallel-in-Time Simulation of Power Converters Using Multirate PDEs
Andreas Pels, Iryna Kulchytska-Ruchka, Sebastian Schöps
This paper presents an efficient numerical algorithm for the simulation of pulse-width modulated power converters via parallelization in time domain. The method applies the multira…
Towards a Parallel-in-Time Calculation of Time-Periodic Solutions with Unknown Period
Iryna Kulchytska-Ruchka, Sebastian Schöps
This paper presents a novel parallel-in-time algorithm able to compute time-periodic solutions of problems where the period is not given. Exploiting the idea of the multiple shooti…
Efficient Parallel-in-Time Solution of Time-Periodic Problems Using a Multi-Harmonic Coarse Grid Correction
Iryna Kulchytska-Ruchka, Sebastian Schöps
This paper presents a highly-parallelizable parallel-in-time algorithm for efficient solution of nonlinear time-periodic problems. It is based on the time-periodic extension of the…
Exploring Parallel-in-Time Approaches for Eddy Current Problems
Stephanie Friedhoff, Jens Hahne, Iryna Kulchytska-Ruchka +1
We consider the usage of parallel-in-time algorithms of the Parareal and multigrid-reduction-in-time (MGRIT) methodologies for the parallel-in-time solution of the eddy current pro…
A New Parareal Algorithm for Time-Periodic Problems with Discontinuous Inputs
Martin J. Gander, Iryna Kulchytska-Ruchka, Sebastian Schöps
The Parareal algorithm, which is related to multiple shooting, was introduced for solving evolution problems in a time-parallel manner. The algorithm was then extended to solve tim…
A New Parareal Algorithm for Problems with Discontinuous Sources
Martin J. Gander, Iryna Kulchytska-Ruchka, Innocent Niyonzima +1
The Parareal algorithm allows to solve evolution problems exploiting parallelization in time. Its convergence and stability have been proved under the assumption of regular (smooth…