{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,24]],"date-time":"2023-10-24T12:10:27Z","timestamp":1698149427079},"reference-count":11,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2006,12,13]],"date-time":"2006-12-13T00:00:00Z","timestamp":1165968000000},"content-version":"vor","delay-in-days":4729,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Circuit Theory &amp; Apps"],"published-print":{"date-parts":[[1994,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>This paper describes a method of determining the forced periodic steady state response of non\u2010linear circuits. the method is closely related to the work of Aprille and Trick <jats:italic>Proc. IEEE<\/jats:italic>, <jats:bold>60<\/jats:bold>, 108\u2010114 (1972) and also to the finite difference method for solving a boundary value problem.<\/jats:p><jats:p>The new approach is a shooting method in the sense that in every iteration an initial value problem is solved. It is, however, also a relaxation method, because in every iteration a periodic wave\u2010form is obtained. This is achieved by solving in each step a linear time\u2010dependent differential equation whose solution can be easily transformed into a periodic solution satisfying this linear equation. Because the iteration takes place on wave\u2010forms rather than initial values and every solution satisfies the boundary conditions, the method is robust. It will be shown that for a causal approximation of the time derivatives the iterated wave\u2010forms are equal to those found using the finite difference methods.<\/jats:p>","DOI":"10.1002\/cta.4490220107","type":"journal-article","created":{"date-parts":[[2007,7,2]],"date-time":"2007-07-02T10:26:55Z","timestamp":1183372015000},"page":"51-60","source":"Crossref","is-referenced-by-count":7,"title":["Periodic steady state analysis using shooting and wave\u2010form\u2010newton"],"prefix":"10.1002","volume":"22","author":[{"given":"Tom A. M.","family":"Kevenaar","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2006,12,13]]},"reference":[{"key":"e_1_2_1_2_2","volume-title":"Analog Methods for Computer\u2010aided Circuit Analysis and Diagnosis","author":"Kundert K. S.","year":"1988"},{"key":"e_1_2_1_3_2","volume-title":"Numerical Methods","author":"Dahlquist G.","year":"1974"},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.1109\/PROC.1972.8563"},{"key":"e_1_2_1_5_2","volume-title":"Computer Methods for Circuit Analysis and Design","author":"Vlach J.","year":"1983"},{"key":"e_1_2_1_6_2","first-page":"766","volume-title":"Proc. IEEE ISCAS","author":"van Bokhoven W. M. G.","year":"1983"},{"key":"e_1_2_1_7_2","first-page":"66","volume-title":"Numerical Recipes: the Art of Scientific Programming","author":"Press W. H.","year":"1986"},{"key":"e_1_2_1_8_2","doi-asserted-by":"publisher","DOI":"10.1109\/81.250165"},{"key":"e_1_2_1_9_2","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611970449"},{"key":"e_1_2_1_10_2","doi-asserted-by":"publisher","DOI":"10.1109\/PROC.1982.12449"},{"key":"e_1_2_1_11_2","doi-asserted-by":"publisher","DOI":"10.1109\/TCS.1980.1084794"},{"key":"e_1_2_1_12_2","doi-asserted-by":"publisher","DOI":"10.1002\/cta.4490050307"}],"container-title":["International Journal of Circuit Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fcta.4490220107","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/cta.4490220107","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,24]],"date-time":"2023-10-24T01:50:52Z","timestamp":1698112252000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/cta.4490220107"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1994,1]]},"references-count":11,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1994,1]]}},"alternative-id":["10.1002\/cta.4490220107"],"URL":"https:\/\/doi.org\/10.1002\/cta.4490220107","archive":["Portico"],"relation":{},"ISSN":["0098-9886","1097-007X"],"issn-type":[{"value":"0098-9886","type":"print"},{"value":"1097-007X","type":"electronic"}],"subject":[],"published":{"date-parts":[[1994,1]]}}}