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Nontrivial solutions for impulsive fractional differential systems through variational methods
Mathematical methods in the applied sciences, 2016Fractional differential equations (FDEs) as a generalization of ordinary differential equations and integration to arbitrary noninteger orders have gained importance due to their numerous applications in many fields of science and engineering.
S. Heidarkhani, Amjad Salari
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The Schwinger Variation Method
Journal of the Society for Industrial and Applied Mathematics, 1964Abstract : The Schwinger variation method is removed from its customary setting in Green's function theory, and is approached from the integral equations viewpoint. The traditional Schwinger theory is improved upon in two respects. Error bounds are provided for the approximations to A(f), a function determining waveguide transmission and reflection ...
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Variational Methods in Geometry
Jahresbericht der Deutschen Mathematiker-Vereinigung, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Shrinking Doughnuts via Variational Methods
, 2017We use variational methods and a modified curvature flow to give an alternative proof of the existence of an embedded topological $$\mathbb {S}^1 \times \mathbb {S}^{n-1}$$S1×Sn-1 self-shrinking hypersurface under mean curvature flow. As a consequence of
Gregory Drugan, X. H. Nguyen
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On Sparse Variational Methods and the Kullback-Leibler Divergence between Stochastic Processes
International Conference on Artificial Intelligence and Statistics, 2015The variational framework for learning inducing variables (Titsias, 2009a) has had a large impact on the Gaussian process literature. The framework may be interpreted as minimizing a rigorously defined Kullback-Leibler divergence between the ...
A. G. Matthews +3 more
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Variational transcorrelated method
The Journal of Chemical Physics, 2010We propose a new approach to the use of Jastrow ansatz in the calculation of electron correlations, based on a modification of the transcorrelated method of Boys and Handy [Proc. R. Soc. London, Ser. A 309, 209 (1969)]. In this new method, the original transcorrelated orbital equation is replaced with a general variational equation for the reference ...
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2009
Abstract An old but generally very powerful method of approximation is the variational approach. The main ideas involved and a few applications are considered in this chapter.
Kenichi Konishi, Giampiero Paffuti
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Abstract An old but generally very powerful method of approximation is the variational approach. The main ideas involved and a few applications are considered in this chapter.
Kenichi Konishi, Giampiero Paffuti
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Variational method in a heterojunction
Physical Review B, 1991Determination des expressions analytiques de l'energie de l'etat fondamental et de la 1ere sous-bande d'une heterojonction en fonction de la temperature et de la concentration en electrons. La difference d'energie E 10 entre la premiere sous-bande et l'etat fondamental est en accord raisonnable avec les donnees obtenues dans une heterojonction GaAs-Ga
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Six Variations on the Variational Method
1998As a graduate student in physics at the University of Michigan many years ago I had the good fortune to take a course in function theory from Norman Steenrod that pretty much changed the course of my life. My experience in that course plus several private conversations convinced me to switch out of physics and into mathematics.
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