{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T16:10:04Z","timestamp":1776787804766,"version":"3.51.2"},"reference-count":36,"publisher":"American Mathematical Society (AMS)","issue":"262","license":[{"start":{"date-parts":[[2008,11,20]],"date-time":"2008-11-20T00:00:00Z","timestamp":1227139200000},"content-version":"am","delay-in-days":366,"URL":"https:\/\/www.ams.org\/publications\/copyright-and-permissions"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Comp."],"abstract":"<p>\n                    A trivariate Lagrange interpolation method based on\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"upper C Superscript 1\">\n                        <mml:semantics>\n                          <mml:msup>\n                            <mml:mi>C<\/mml:mi>\n                            <mml:mrow class=\"MJX-TeXAtom-ORD\">\n                              <mml:mn>1<\/mml:mn>\n                            <\/mml:mrow>\n                          <\/mml:msup>\n                          <mml:annotation encoding=\"application\/x-tex\">C^{1}<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    cubic splines is described. The splines are defined over a special refinement of the Freudenthal partition of a cube partition. The interpolating splines are uniquely determined by data values, but no derivatives are needed. The interpolation method is local and stable, provides optimal order approximation, and has linear complexity.\n                  <\/p>","DOI":"10.1090\/s0025-5718-07-02056-x","type":"journal-article","created":{"date-parts":[[2008,1,15]],"date-time":"2008-01-15T12:55:08Z","timestamp":1200401708000},"page":"1017-1036","source":"Crossref","is-referenced-by-count":6,"title":["A local Lagrange interpolation method based on \ud835\udc36\u00b9 cubic splines on Freudenthal partitions"],"prefix":"10.1090","volume":"77","author":[{"given":"Gero","family":"Hecklin","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"G\u00fcnther","family":"N\u00fcrnberger","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Larry","family":"Schumaker","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Frank","family":"Zeilfelder","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"14","published-online":{"date-parts":[[2007,11,20]]},"reference":[{"key":"1","doi-asserted-by":"crossref","unstructured":"[1] Alfeld, P., A trivariate \ud835\udc36\u00b9 Clough-Tocher interpolation scheme, Comput. 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