{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T22:08:36Z","timestamp":1725574116821},"publisher-location":"Berlin, Heidelberg","reference-count":9,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540212584"},{"type":"electronic","value":"9783540246985"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2004]]},"DOI":"10.1007\/978-3-540-24698-5_21","type":"book-chapter","created":{"date-parts":[[2011,1,7]],"date-time":"2011-01-07T17:28:22Z","timestamp":1294421302000},"page":"172-180","source":"Crossref","is-referenced-by-count":0,"title":["A Geometric Approach to the Bisection Method"],"prefix":"10.1007","author":[{"given":"Claudio","family":"Gutierrez","sequence":"first","affiliation":[]},{"given":"Flavio","family":"Gutierrez","sequence":"additional","affiliation":[]},{"given":"Maria-Cecilia","family":"Rivara","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"issue":"162","key":"21_CR1","doi-asserted-by":"publisher","first-page":"571","DOI":"10.1090\/S0025-5718-1983-0689473-5","volume":"40","author":"A. Adler","year":"1983","unstructured":"Adler, A.: On the Bisection Method for Triangles. Mathematics of Computation\u00a040(162), 571\u2013574 (1983)","journal-title":"Mathematics of Computation"},{"issue":"144","key":"21_CR2","first-page":"1147","volume":"32","author":"B. Kearfott","year":"1978","unstructured":"Kearfott, B.: A Proof of Convergence and an Error Bound for the Method of Bisection in R\n                    n\n                  . Mathematics of Computation\u00a032(144), 1147\u20131153 (1978)","journal-title":"Mathematics of Computation"},{"issue":"2","key":"21_CR3","doi-asserted-by":"publisher","first-page":"239","DOI":"10.1142\/S0218195994000148","volume":"4","author":"J. O\u2019Rourke","year":"1994","unstructured":"O\u2019Rourke, J.: Computational Geometry Column 23. International Journal of Computational Geometry & Applications\u00a04(2), 239\u2013242 (1994)","journal-title":"International Journal of Computational Geometry & Applications"},{"key":"21_CR4","doi-asserted-by":"publisher","first-page":"745","DOI":"10.1002\/nme.1620200412","volume":"20","author":"M.C. Rivara","year":"1984","unstructured":"Rivara, M.C.: Algorithms for refining triangular grids suitable for adaptive and multigrid techniques. International journal for numerical methods in Engineering\u00a020, 745\u2013756 (1984)","journal-title":"International journal for numerical methods in Engineering"},{"issue":"216","key":"21_CR5","doi-asserted-by":"publisher","first-page":"1485","DOI":"10.1090\/S0025-5718-96-00772-7","volume":"65","author":"M.-C. Rivara","year":"1996","unstructured":"Rivara, M.-C., Irribarren, G.: The 4-Triangles Longest-side Partition of Triangles and Linear Refinement Algorithms. Mathematics of Computation\u00a065(216), 1485\u20131502 (1996)","journal-title":"Mathematics of Computation"},{"key":"21_CR6","doi-asserted-by":"publisher","first-page":"281","DOI":"10.1002\/cnm.1630080502","volume":"8","author":"M.C. Rivara","year":"1992","unstructured":"Rivara, M.C., Levin, C.: A 3d Refinement Algorithm for adaptive and multigrid Techniques. Communications in Applied Numerical Methods\u00a08, 281\u2013290 (1992)","journal-title":"Communications in Applied Numerical Methods"},{"issue":"130","key":"21_CR7","doi-asserted-by":"publisher","first-page":"390","DOI":"10.1090\/S0025-5718-1975-0375068-5","volume":"29","author":"I.G. Rosenberg","year":"1975","unstructured":"Rosenberg, I.G., Stenger, F.: A Lower Bound on the Angles of Triangles Constructed by Bisecting the Longest Side. Mathematics of Computation\u00a029(130), 390\u2013395 (1975)","journal-title":"Mathematics of Computation"},{"key":"21_CR8","doi-asserted-by":"publisher","first-page":"1195","DOI":"10.1090\/S0025-5718-1979-0521285-4","volume":"33","author":"M. Stynes","year":"1979","unstructured":"Stynes, M.: On Faster Convergence of the Bisection Method for certain Triangles. Mathematics of Computation\u00a033, 1195\u20131202 (1979)","journal-title":"Mathematics of Computation"},{"issue":"152","key":"21_CR9","doi-asserted-by":"publisher","first-page":"1195","DOI":"10.1090\/S0025-5718-1980-0583497-1","volume":"35","author":"M. Stynes","year":"1980","unstructured":"Stynes, M.: On Faster Convergence of the Bisection Method for all Triangles. Mathematics of Computation\u00a035(152), 1195\u20131202 (1980)","journal-title":"Mathematics of Computation"}],"container-title":["Lecture Notes in Computer Science","LATIN 2004: Theoretical Informatics"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-540-24698-5_21","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,3,23]],"date-time":"2019-03-23T07:46:05Z","timestamp":1553327165000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-540-24698-5_21"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004]]},"ISBN":["9783540212584","9783540246985"],"references-count":9,"URL":"https:\/\/doi.org\/10.1007\/978-3-540-24698-5_21","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2004]]}}}