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PreprintCC BY 4.0arXiv

Spectral analysis of a class of IRK stage preconditioners for linear wave equations

Abstract

We lay out the analysis of the ``Kronecker preconditioners'' adopted in [24] for the linear wave equations. Importantly, we deliver the analysis justifying the claims in~[24, Section 4.2] about these preconditioners and we unpack all of the necessary numerical background for a full understanding of the observed phenomena.

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BibTeX
@misc{outrata2026spectral,
  title = {{Spectral analysis of a class of IRK stage preconditioners for linear wave equations}},
  author = {Michal Outrata and Aman Rani},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.34620},
  eprint = {2609.34620},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.34620},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Spectral analysis of a class of IRK stage preconditioners for linear wave equations
AU  - Michal Outrata
AU  - Aman Rani
PY  - 2026
DA  - 2026/09/28
PB  - arXiv
DO  - 10.48550/arxiv.2609.34620
UR  - https://arxiv.org/abs/2609.34620
AB  - We lay out the analysis of the ``Kronecker preconditioners'' adopted in [24] for the linear wave equations. Importantly, we deliver the analysis justifying the claims in~[24, Section 4.2] about these preconditioners and we unpack all of the necessary numerical background for a full understanding of the observed phenomena.
ER  -