{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,4,5]],"date-time":"2023-04-05T14:51:14Z","timestamp":1680706274686},"reference-count":43,"publisher":"Elsevier BV","issue":"1","license":[{"start":{"date-parts":[[1999,1,1]],"date-time":"1999-01-01T00:00:00Z","timestamp":915148800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computers & Chemistry"],"published-print":{"date-parts":[[1999,1]]},"DOI":"10.1016\/s0097-8485(98)00021-7","type":"journal-article","created":{"date-parts":[[2002,7,26]],"date-time":"2002-07-26T02:58:12Z","timestamp":1027652292000},"page":"33-41","source":"Crossref","is-referenced-by-count":10,"title":["Matrix stability of the backward differentiation formula in electrochemical digital simulation"],"prefix":"10.1016","volume":"23","author":[{"given":"K.","family":"Johannsen","sequence":"first","affiliation":[]},{"given":"D.","family":"Britz","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/S0097-8485(98)00021-7_BIB1","unstructured":"Bard, A. J. and Faulkner, L. R. (1980) Electrochemical Methods. Wiley, New York"},{"key":"10.1016\/S0097-8485(98)00021-7_BIB2","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1016\/0022-0728(93)80466-U","volume":"345","author":"Bieniasz","year":"1993","journal-title":"J. Electroanal Chem."},{"key":"10.1016\/S0097-8485(98)00021-7_BIB3","doi-asserted-by":"crossref","first-page":"121","DOI":"10.1016\/0097-8485(94)00054-I","volume":"19","author":"Bieniasz","year":"1995","journal-title":"Comput. Chem."},{"key":"10.1016\/S0097-8485(98)00021-7_BIB4","doi-asserted-by":"crossref","first-page":"351","DOI":"10.1016\/0097-8485(95)00056-X","volume":"19","author":"Bieniasz","year":"1995","journal-title":"Comput. Chem."},{"key":"10.1016\/S0097-8485(98)00021-7_BIB5","doi-asserted-by":"crossref","first-page":"357","DOI":"10.1016\/0097-8485(95)00047-V","volume":"19","author":"Bieniasz","year":"1995","journal-title":"Comput. Chem."},{"key":"10.1016\/S0097-8485(98)00021-7_BIB6","doi-asserted-by":"crossref","first-page":"391","DOI":"10.1016\/S0097-8485(97)00033-8","volume":"21","author":"Bieniasz","year":"1997","journal-title":"Comput. Chem."},{"key":"10.1016\/S0097-8485(98)00021-7_BIB7","doi-asserted-by":"crossref","unstructured":"Brenan, K. E., Campbell, S. L. and Petzold, L. R. (1996) Numerical Solution of Initial-Value Problems in Differential-Alebraic Equations. SIAM, Philadelphia","DOI":"10.1137\/1.9781611971224"},{"key":"10.1016\/S0097-8485(98)00021-7_BIB8","doi-asserted-by":"crossref","unstructured":"Britz, D. (1988a) Digital Simulation in Electrochemistry. Springer, Berlin","DOI":"10.1007\/978-3-662-02549-9"},{"key":"10.1016\/S0097-8485(98)00021-7_BIB9","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1016\/0022-0728(88)80309-7","volume":"240","author":"Britz","year":"1988","journal-title":"J. Electroanal. Chem."},{"key":"10.1016\/S0097-8485(98)00021-7_BIB10","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1016\/S0097-8485(96)00020-4","volume":"21","author":"Britz","year":"1997","journal-title":"Comput. Chem."},{"key":"10.1016\/S0097-8485(98)00021-7_BIB11","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1016\/S0097-8485(97)00031-4","volume":"22","author":"Britz","year":"1998","journal-title":"Comput. Chem."},{"key":"10.1016\/S0097-8485(98)00021-7_BIB12","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1515\/zpch-1903-4229","volume":"42","author":"Cottrell","year":"1903","journal-title":"Z. phys. Chem."},{"key":"10.1016\/S0097-8485(98)00021-7_BIB13","doi-asserted-by":"crossref","first-page":"80","DOI":"10.1002\/sapm195332180","volume":"32","author":"Crandall","year":"1953","journal-title":"J. Math. Phys."},{"key":"10.1016\/S0097-8485(98)00021-7_BIB14","doi-asserted-by":"crossref","first-page":"50","DOI":"10.1017\/S0305004100023197","volume":"43","author":"Crank","year":"1947","journal-title":"Proc. Cambridge Phil. Soc."},{"key":"10.1016\/S0097-8485(98)00021-7_BIB15","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1002\/sapm1955341267","volume":"34","author":"Evans","year":"1955","journal-title":"J. Math. Phys."},{"key":"10.1016\/S0097-8485(98)00021-7_BIB16","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/S0022-0728(81)80462-7","volume":"127","author":"Feldberg","year":"1981","journal-title":"J. Electroanal. Chem."},{"key":"10.1016\/S0097-8485(98)00021-7_BIB17","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0022-0728(95)04161-1","volume":"397","author":"Feldberg","year":"1995","journal-title":"J. Electroanal. Chem."},{"key":"10.1016\/S0097-8485(98)00021-7_BIB18","unstructured":"Galus, Z. (1994) Fundamentals of Electrochemical Analysis. 2nd Ed. Ellis Horwood, New York"},{"key":"10.1016\/S0097-8485(98)00021-7_BIB19","unstructured":"Gear, C. W. (1971) Numerical Initial Value Problems in Ordinary Differential Equations. Prentice\u2013Hall, Englewood Cliffs"},{"key":"10.1016\/S0097-8485(98)00021-7_BIB20","doi-asserted-by":"crossref","first-page":"641","DOI":"10.1137\/0717054","volume":"17","author":"Gourlay","year":"1980","journal-title":"SIAM J. Num. Anal."},{"key":"10.1016\/S0097-8485(98)00021-7_BIB21","doi-asserted-by":"crossref","unstructured":"Hairer, E., N\u00f8rsett, S. P. and Wanner, G. (1987) Solving Ordinary Differential Equations I. Nonstiff Problems. Springer, Berlin","DOI":"10.1007\/978-3-662-12607-3"},{"key":"10.1016\/S0097-8485(98)00021-7_BIB22","doi-asserted-by":"crossref","unstructured":"Hairer, E. and Wanner, G. (1991) Solving Ordinary Differential Equations II. Stiff and Differential-Algebraic Problems. Springer, Berlin","DOI":"10.1007\/978-3-662-09947-6"},{"key":"10.1016\/S0097-8485(98)00021-7_BIB23","unstructured":"Isaacson, E. and Keller, H. B. (1966) Analysis of Numerical Methods. Wiley, New York"},{"key":"10.1016\/S0097-8485(98)00021-7_BIB24","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1002\/bbpc.19060120105","volume":"12","author":"Karaoglanoff","year":"1906","journal-title":"Z. Elektrochem."},{"key":"10.1016\/S0097-8485(98)00021-7_BIB25","doi-asserted-by":"crossref","unstructured":"Lapidus, L. and Pinder, G. F. (1982) Numerical Solution of Partial Differential Equations in Science and Engineering. Wiley, New York","DOI":"10.2307\/2007712"},{"key":"10.1016\/S0097-8485(98)00021-7_BIB26","doi-asserted-by":"crossref","first-page":"641","DOI":"10.1137\/0715082","volume":"15","author":"Lawson","year":"1978","journal-title":"SIAM J. Num. Anal."},{"key":"10.1016\/S0097-8485(98)00021-7_BIB27","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1016\/0022-0728(94)87054-3","volume":"378","author":"Mocak","year":"1994","journal-title":"J. Electroanal. Chem."},{"key":"10.1016\/S0097-8485(98)00021-7_BIB28","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1137\/0710024","volume":"10","author":"Moler","year":"1973","journal-title":"SIAM J. Num. Anal."},{"key":"10.1016\/S0097-8485(98)00021-7_BIB29","unstructured":"Morton, K. W., (1980) Int. J. Num. eth. Eng. 15, 677"},{"key":"10.1016\/S0097-8485(98)00021-7_BIB30","doi-asserted-by":"crossref","first-page":"223","DOI":"10.1002\/sapm1950291223","volume":"29","author":"O\u2019Brien","year":"1950","journal-title":"J. Math. and Phys."},{"key":"10.1016\/S0097-8485(98)00021-7_BIB31","unstructured":"\u00d8sterby, O. (1994) 2nd Coll. Num. Anal. eds. Bainov D, Covachev V. p. 165. VSP, Utrecht."},{"key":"10.1016\/S0097-8485(98)00021-7_BIB32","unstructured":"Pao, Y-H. and Dougherty, R. J. (1969) Boeing Sci. Res. Lab. Rept. DI-82-0822"},{"key":"10.1016\/S0097-8485(98)00021-7_BIB33","first-page":"26","volume":"4","author":"Reinert","year":"1962","journal-title":"Monatsber. Deut. Akad. Wisss. Berlin"},{"key":"10.1016\/S0097-8485(98)00021-7_BIB34","unstructured":"Richtmyer, R. D. (1957) Difference Methods for Initial-Value Problems. Interscience, New York"},{"key":"10.1016\/S0097-8485(98)00021-7_BIB35","doi-asserted-by":"crossref","first-page":"589A","DOI":"10.1021\/ac00082a002","volume":"66","author":"Rudolph","year":"1994","journal-title":"Anal. Chem."},{"key":"10.1016\/S0097-8485(98)00021-7_BIB36","unstructured":"Rudolph, M. (1995) Physical Electrochemistry, ed. I. Rubinstein, p. 81. Marcel Dekker, New York"},{"key":"10.1016\/S0097-8485(98)00021-7_BIB37","doi-asserted-by":"crossref","first-page":"641","DOI":"10.1515\/zpch-1900-3543","volume":"35","author":"Sand","year":"1900","journal-title":"Z. Phys. Chem."},{"key":"10.1016\/S0097-8485(98)00021-7_BIB38","unstructured":"Saul\u2019yev, V. K. (1964) Integration of Equations of Parabolic Type by the Method of Nets. Pergamon Press, Oxford"},{"key":"10.1016\/S0097-8485(98)00021-7_BIB39","unstructured":"Smith, G. D. (1985) Numerical Solution of Partial Diferential Equations, 3rd Ed. edn. Oxford University Press, Oxford. (1st & 2nd Eds. 1965 and 1974)"},{"key":"10.1016\/S0097-8485(98)00021-7_BIB40","unstructured":"Strikwerda, J. C. (1989) Finite Diference Schemes and Partial Diferential Equations. Wadsworth and Brooks\/Cole Advanced Books and Software, Pacific Grove, California"},{"key":"10.1016\/S0097-8485(98)00021-7_BIB41","doi-asserted-by":"crossref","first-page":"1403","DOI":"10.1002\/elan.1140091806","volume":"9","author":"Strutwolf","year":"1997","journal-title":"Electroanalysis"},{"key":"10.1016\/S0097-8485(98)00021-7_BIB42","doi-asserted-by":"crossref","first-page":"479","DOI":"10.1002\/zamm.19800601005","volume":"60","author":"van der Houwen","year":"1980","journal-title":"ZAMM"},{"key":"10.1016\/S0097-8485(98)00021-7_BIB43","doi-asserted-by":"crossref","first-page":"232","DOI":"10.1063\/1.1699639","volume":"21","author":"Von","year":"1950","journal-title":"J. Appl. Phys."}],"container-title":["Computers & Chemistry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0097848598000217?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0097848598000217?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2020,2,5]],"date-time":"2020-02-05T06:11:10Z","timestamp":1580883070000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0097848598000217"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1999,1]]},"references-count":43,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1999,1]]}},"alternative-id":["S0097848598000217"],"URL":"https:\/\/doi.org\/10.1016\/s0097-8485(98)00021-7","relation":{},"ISSN":["0097-8485"],"issn-type":[{"value":"0097-8485","type":"print"}],"subject":[],"published":{"date-parts":[[1999,1]]}}}