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Part of the book series: Mathematical Concepts and Methods in Science and Engineering ((MCSENG,volume 22))

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Abstract

The Rayleigh-Ritz method belongs to the so-called direct methods of the calculus of variations, inasmuch as it is applied to problems formulated in an integral rather than a conventional, that is, differential, form. More often than not, the procedure involves the minimization of integrals containing unknown functions and their derivatives, without first deriving from these integrals equivalent (the so-called Euler-Lagrange) differential equations.

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© 1981 Plenum Press, New York

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Nowinski, J.L. (1981). The Rayleigh-Ritz and Trefftz Methods. In: Applications of Functional Analysis in Engineering. Mathematical Concepts and Methods in Science and Engineering, vol 22. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-3926-7_14

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  • DOI: https://doi.org/10.1007/978-1-4684-3926-7_14

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-3928-1

  • Online ISBN: 978-1-4684-3926-7

  • eBook Packages: Springer Book Archive

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