{
  "abstract": "This study proposes a novel computational scheme for utility-maximization problems involving optimal stopping, formulated as Hamilton-Jacobi-Bellman quasi-variational inequalities. The methodology integrates Gauss-Lobatto-Legendre spectral discretization with a penalization method and is solved efficiently via policy iteration. We establish the convergence of the penalized scheme and verify the effectiveness and robustness of the framework through a series of numerical experiments.",
  "abstract_shown": true,
  "affiliations": [
    "School of Mathematics, Southwestern University of Finance and Economics, Chengdu, Sichuan, China"
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  "article_type": "Research Article",
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  "author_total": 2,
  "authors": [
    {
      "affs": [
        0
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      "name": "Minlan Lei"
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    {
      "name": "Zhengyang Lu"
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  "bibtex": "https://research.draconitic.com/paper/5a7rdy08dxcds.bib",
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  "doi": "10.1371/journal.pone.0359303",
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    "1932-6203"
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  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
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  "native_subjects": [
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  "pdf_url": "https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0359303&type=printable",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-30",
  "publisher": "Public Library of Science",
  "ris": "https://research.draconitic.com/paper/5a7rdy08dxcds.ris",
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    {
      "first_seen": "2026-10-30T12:17:37Z",
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      "url": "https://doi.org/10.1371/journal.pone.0359303"
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  "subjects": [
    {
      "field": "biology",
      "origin": "plos:evolutionary biology",
      "subfield": "evolutionary-biology"
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    {
      "field": "chemistry",
      "origin": "plos:materials science",
      "subfield": "materials-polymers"
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    {
      "field": "chemistry",
      "origin": "plos:physical chemistry",
      "subfield": "physical"
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  "title": "Iterative spectral methods for Hamilton-Jacobi-Bellman quasi-variational inequality in finance",
  "title_text": "Iterative spectral methods for Hamilton-Jacobi-Bellman quasi-variational inequality in finance",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:17:37Z",
  "url": "https://research.draconitic.com/paper/5a7rdy08dxcds",
  "venue": "PLOS One",
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