Pith. sign in

Convergence of a generalized Riemann problem scheme for the Burgers equation

1 Pith paper cite this work. Polarity classification is still indexing.

1 Pith paper citing it
abstract

In this paper we study the convergence of a second order finite volume approximation of the scalar conservation law. This scheme is based on the generalized Riemann problem (GRP) solver. We firstly investigate the stability of the GRP scheme and find that it might be entropy unstable when the shock wave is generated. By adding an artificial viscosity we propose a new stabilized GRP scheme. Under the assumption that numerical solutions are uniformly bounded, we prove consistency and convergence of this new GRP method.

fields

cs.DB 1

years

2025 1

verdicts

REJECT 1

representative citing papers

citing papers explorer

Showing 1 of 1 citing paper.

  • THOR: Transformer Heuristics for On-Demand Retrieval cs.DB · 2025-07-13 · reject · none · ref 3 · internal anchor

    THOR is an enterprise Text-to-SQL system using LLM agents, schema injection, and a five-retry self-correction loop, evaluated only on seven anecdotal prompts.