Pith. sign in

REVIEW 1 cited by

Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1009.2757 v1 pith:CXZVTUTC submitted 2010-09-14 math.NA cs.NAphysics.comp-phphysics.flu-dyn

L. Pareschi , G. Russo This is my paper · ORCID
classification math.NAcs.NAphysics.comp-phphysics.flu-dyn
keywords relaxationrunge-kuttaschemesapplicationshyperbolicimplicitimplicit-explicitmethods
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We consider new implicit-explicit (IMEX) Runge-Kutta methods for hyperbolic systems of conservation laws with stiff relaxation terms. The explicit part is treated by a strong-stability-preserving (SSP) scheme, and the implicit part is treated by an L-stable diagonally implicit Runge-Kutta methods (DIRK). The schemes proposed are asymptotic preserving (AP) in the zero relaxation limit. High accuracy in space is obtained by Weighted Essentially Non Oscillatory (WENO) reconstruction. After a description of the mathematical properties of the schemes, several applications will be presented.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Phenomenological gravitational waveforms for core-collapse supernovae

    astro-ph.HE 2025-01 conditional novelty 5.0 of 10

    ccphen v4 quickly generates stochastic, polarized gravitational waveforms for non-rotating core-collapse supernovae, calibrated to 33 numerical simulations.

Pith tools