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The least uncomfortable journey from A to B
Chalmers University of Technology.
University of Borås, Faculty of Textiles, Engineering and Business.
Chalmers University of Technology.
2016 (English)In: American Journal of Physics, ISSN 0002-9505, E-ISSN 1943-2909, Vol. 84, no 9, 690-695 p.Article in journal (Refereed) Published
Abstract [en]

A short introduction is given about direct variational methods and their relation to Galerkin and moment methods, all flexible and powerful approaches for finding approximate solutions to difficult physicalequations. An application of these methods is given in the form of the variational problem of minimizing the discomfort experienced during different journeys, between two fixed horizontal points while keeping the travel time constant. The analysis is shown to provide simple, yet accurate, approximate solutions of the problem and illustrates the usefulness and the power of direct variational and moment methods. It also demonstrates the problem of a priori assessing the accuracy of the approximate solutions and illustrates that the variational solution does not necessarily provide a more accurate solution than that obtained by moment methods.

Place, publisher, year, edition, pages
2016. Vol. 84, no 9, 690-695 p.
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Engineering and Technology Other Physics Topics
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URN: urn:nbn:se:hb:diva-10646DOI: 10.1119/1.4955151OAI: diva2:957601
Available from: 2016-09-02 Created: 2016-09-02 Last updated: 2016-09-02Bibliographically approved

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Desaix, Mats
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