{
  "abstract": "Uncertainty quantification for the Vlasov--Poisson (VP) systems entails repeated dynamic simulations, incurring immense computational costs. We develop a structure-preserving Semi-Lagrangian (SL) b-fidelity approximation of macroscopic observables. The MUSCL is used as a low-fidelity solver for pressureless Euler--Poisson system, allowing for a more cost-effective exploration of the stochastic parameter space. A conservative SL scheme combined with high-order discontinuous Galerkin is used as a high-fidelity solver for collisionless VP system, whose mass conservation, positivity preservation, and low numerical dissipation provide a more reliable high-fidelity snapshots for bi-fidelity reconstruction. We further derive a conditional error bound that separates projection, discretization, and model errors. Numerical experiments for both deterministic and uncertain VP problems, including multispecies and higher-dimensional settings, demonstrate that the proposed framework achieves accurate and robust uncertainty propagation.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.23484",
  "author_total": 3,
  "authors": [
    {
      "name": "Xiaofeng Cai"
    },
    {
      "name": "Jiaojiao Guo"
    },
    {
      "name": "Liu Liu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4z7a0ek5fnyyb.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.23484",
  "fulltext_url": null,
  "id": "4z7a0ek5fnyyb",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.23484",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.NA"
    ],
    [
      "arxiv",
      "math.NA"
    ],
    [
      "openalex",
      "2604|Gas Dynamics and Kinetic Theory"
    ]
  ],
  "openalex": "W7222920088",
  "pdf_url": "https://arxiv.org/pdf/2610.23484",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4z7a0ek5fnyyb.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:37Z",
      "native_id": "2610.23484",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.23484"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
    }
  ],
  "title": "A Structure-Preserving Semi-Lagrangian based bi-fidelity method for the Vlasov--Poisson system with uncertainties",
  "title_text": "A Structure-Preserving Semi-Lagrangian based bi-fidelity method for the Vlasov--Poisson system with uncertainties",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:31Z",
  "url": "https://research.draconitic.com/paper/4z7a0ek5fnyyb",
  "venue": "arXiv",
  "versions": []
}