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For strictly <jats:inline-formula><jats:alternatives><jats:tex-math>$${{\\,\\mathrm{Lip}\\,}}^+$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:msup>\n                    <mml:mrow>\n                      <mml:mrow>\n                        <mml:mspace\/>\n                        <mml:mi>Lip<\/mml:mi>\n                        <mml:mspace\/>\n                      <\/mml:mrow>\n                    <\/mml:mrow>\n                    <mml:mo>+<\/mml:mo>\n                  <\/mml:msup>\n                <\/mml:math><\/jats:alternatives><\/jats:inline-formula> stable monotone schemes, we prove convergence for any positive H\u00f6lder exponent. Numerical experiments are presented which verify the theory.\n<\/jats:p>","DOI":"10.1007\/s10915-022-01806-x","type":"journal-article","created":{"date-parts":[[2022,3,21]],"date-time":"2022-03-21T09:02:45Z","timestamp":1647853365000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Convergence Rates of Monotone Schemes for Conservation Laws for Data with Unbounded Total Variation"],"prefix":"10.1007","volume":"91","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8528-5786","authenticated-orcid":false,"given":"Ulrik Skre","family":"Fjordholm","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kjetil Olsen","family":"Lye","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2022,3,21]]},"reference":[{"issue":"5","key":"1806_CR1","doi-asserted-by":"publisher","first-page":"637","DOI":"10.1007\/s10596-014-9410-6","volume":"18","author":"GM Coclite","year":"2014","unstructured":"Coclite, G.M., Mishra, S., Risebro, N.H., Weber, F.: Analysis and numerical approximation of brinkman regularization of two-phase flows in porous media. 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