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A superconvergent stencil-adaptive SBP-SAT finite difference scheme

Numerical Analysis 2023-07-27 v1 Numerical Analysis

Abstract

A stencil-adaptive SBP-SAT finite difference scheme is shown to display superconvergent behavior. Applied to the linear advection equation, it has a convergence rate O(Δx4)\mathcal{O}(\Delta x^4) in contrast to a conventional scheme, which converges at a rate O(Δx3)\mathcal{O}(\Delta x^3).

Cite

@article{arxiv.2307.14034,
  title  = {A superconvergent stencil-adaptive SBP-SAT finite difference scheme},
  author = {Viktor Linders and Mark Carpenter and Jan Nordström},
  journal= {arXiv preprint arXiv:2307.14034},
  year   = {2023}
}

Comments

9 pages, 1 figure

R2 v1 2026-06-28T11:40:25.900Z