arXiv Open Access 2020

Towards a Parallel-in-Time Calculation of Time-Periodic Solutions with Unknown Period

Iryna Kulchytska-Ruchka Sebastian Schöps

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Abstrak

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 shooting method, the proposed approach calculates the initial values at each subinterval as well as the corresponding period iteratively. As in the Parareal method, parallelization in the time domain is performed using discretization on a two-level grid. A special linearization of the time-periodic system on the coarse grid is introduced to speed up the computations. The iterative algorithm is verified via its application to the Colpitt oscillator model.

Topik & Kata Kunci

math.NA cs.CE

Penulis (2)

Iryna Kulchytska-Ruchka

Sebastian Schöps

Format Sitasi

APA MLA BibTeX

Kulchytska-Ruchka, I., Schöps, S. (2020). Towards a Parallel-in-Time Calculation of Time-Periodic Solutions with Unknown Period. https://arxiv.org/abs/2004.01612

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2020
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓