| dc.contributor.author |
Bhoriya, Deepak |
|
| dc.date.accessioned |
2025-09-18T10:26:24Z |
|
| dc.date.available |
2025-09-18T10:26:24Z |
|
| dc.date.issued |
2024-09 |
|
| dc.identifier.uri |
https://arxiv.org/abs/2406.05450 |
|
| dc.identifier.uri |
http://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/19445 |
|
| dc.description.abstract |
In this work we aim at developing a new class of high order accurate well-balanced finite difference (FD) Weighted Essentially Non-Oscillatory (WENO) methods for numerical general relativity, which can be applied to any first-order reduction of the Einstein field equations, even if non-conservative terms are present. We choose the first-order non-conservative Z4 formulation of the Einstein equations, which has a built-in cleaning procedure that accounts for the Einstein constraints and that has already shown its ability in keeping stationary solutions stable over long timescales |
en_US |
| dc.language.iso |
en |
en_US |
| dc.subject |
Mathematics |
en_US |
| dc.subject |
Numerical general relativity (GR) |
en_US |
| dc.subject |
Einstein field equations |
en_US |
| dc.subject |
High-order finite difference methods |
en_US |
| dc.subject |
Weighted Essentially Non-Oscillatory (WENO) schemes |
en_US |
| dc.subject |
Non-conservative terms |
en_US |
| dc.subject |
Stationary solution stability |
en_US |
| dc.title |
Well-balanced high order finite difference WENO schemes for a first-order Z4 formulation of the Einstein field equations |
en_US |
| dc.type |
Preprint |
en_US |