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On Perturbation and Variation Methods [PDF]
Proceedings 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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, 2020
The purpose of this paper is to suggest a general numerical algorithm for nonlinear problems by the variational iteration method (VIM).,Firstly, the Laplace transform technique is used to reconstruct the variational iteration algorithm-II.
Ji-Huan He, Habibolla Latifizadeh
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The purpose of this paper is to suggest a general numerical algorithm for nonlinear problems by the variational iteration method (VIM).,Firstly, the Laplace transform technique is used to reconstruct the variational iteration algorithm-II.
Ji-Huan He, Habibolla Latifizadeh
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The variational gradient method
USSR Computational Mathematics and Mathematical Physics, 1984Translation 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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End-to-End Variational Networks for Accelerated MRI Reconstruction
International Conference on Medical Image Computing and Computer-Assisted Intervention, 2020The slow acquisition speed of magnetic resonance imaging (MRI) has led to the development of two complementary methods: acquiring multiple views of the anatomy simultaneously (parallel imaging) and acquiring fewer samples than necessary for traditional ...
Anuroop Sriram +7 more
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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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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, 2012The 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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, 2014
Using the variational method and supersymmetric quantum mechanics we calculated, in an approximate way, the eigenvalues, eigenfunctions and wave functions at the origin of the Cornell potential.
Alfredo Vega, J. Flores
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Using the variational method and supersymmetric quantum mechanics we calculated, in an approximate way, the eigenvalues, eigenfunctions and wave functions at the origin of the Cornell potential.
Alfredo Vega, J. Flores
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2004
In many cases stationary perturbation theory cannot be applied successfully as there may not be a closely related problem which is capable of exact solution.
S. Lokanathan, Ajoy Ghatak
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In many cases stationary perturbation theory cannot be applied successfully as there may not be a closely related problem which is capable of exact solution.
S. Lokanathan, Ajoy Ghatak
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On the Palatini method of variation
Journal of Mathematical Physics, 1978The Palatini method of variation is compared with the Hilbert method for symmetric metrics and affine connections. It is found that the two methods are in general inequivalent. The Hilbert method is recommended as being more general.
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