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On Perturbation and Variation Methods [PDF]

open access: possibleProceedings of the Physical Society. Section A, 1953
It is pointed out that the notation of the theory of functionals and the theorem in it analogous to Taylor's theorem facilitates a compact discussion of perturbation and variation methods in quantum mechanics, both for bound state and scattering problems.
J S Turner, R E B Makinson
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The variational gradient method

USSR Computational Mathematics and Mathematical Physics, 1984
Translation from Zh. Vychisl. Mat. Mat. Fiz. 24, No.7, 963-971 (Russian) (1984; Zbl 0567.47011).
N. I. Tukalevskaya   +2 more
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Variational methods

1994
Publisher Summary This chapter focuses on the use of variational methods in the study of the energy methods of solid mechanics. The Galerkin method can be shown to produce element matrix integral definitions that would be identical to those obtained from a variational form, if one exists. Most nonlinear problems do not have a variational form, yet the
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Variational Methods for Evolution

Oberwolfach Reports, 2012
The meeting focused on the last advances in the applications of variational methods to evolution problems governed by partial differential equations. The talks covered a broad range of topics, including large deviation and variational principles, rate-independent evolutions and gradient flows, heat flows in metric-measure spaces, propagation of ...
Alexander Mielke   +3 more
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