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The optimal journey from A to B
Högskolan i Borås, Institutionen Ingenjörshögskolan.
Vise andre og tillknytning
2008 (engelsk)Inngår i: American Journal of Physics, ISSN 0002-9505, E-ISSN 1943-2909, Vol. 76, nr 9, s. 863-866Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

How fast can you comfortably travel between two points A and B? This question is formulated as a minimization problem of a functional where the discomfort is quantified in terms of the integral of the square of the acceleration between A and B. The problem is solved in terms of the corresponding Euler-Lagrange equation and approximately using a direct variational approach based on trial functions and Ritz optimization. The main purpose of the analysis is to introduce undergraduate students to variational calculus in an interesting and pedagogical way.

sted, utgiver, år, opplag, sider
American Association of Physics Teachers , 2008. Vol. 76, nr 9, s. 863-866
Emneord [en]
variational calculus, ritz optimization, undergraduate students
Emneord [sv]
Matematik och teoretisk fysik
HSV kategori
Identifikatorer
URN: urn:nbn:se:hb:diva-2428DOI: 10.1119/1.2929673ISI: 000259275900013Scopus ID: 2-s2.0-51749094830Lokal ID: 2320/3929OAI: oai:DiVA.org:hb-2428DiVA, id: diva2:870522
Tilgjengelig fra: 2015-11-13 Laget: 2015-11-13 Sist oppdatert: 2017-05-04bibliografisk kontrollert

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Andersson, PeterDesaix, Mats

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