Results 31 to 40 of about 5,943,505 (321)
Contact variational integrators [PDF]
, 2019 We present geometric numerical integrators for contact flows that stem from a discretization of Herglotz' variational principle. First we show that the resulting discrete map is a contact transformation and that any contact map can be derived from a ...
Bravetti, Alessandro +2 more
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A variational principle in the parametric geometry of numbers [PDF]
Advances in Mathematics, 2019 We extend the parametric geometry of numbers (initiated by Schmidt and Summerer, and deepened by Roy) to Diophantine approximation for systems of $m$ linear forms in $n$ variables, and establish a new connection to the metric theory via a variational ...
Tushar Das +3 more
semanticscholar +1 more source
Demonstratio Mathematica, 2022 This paper presents some variants of minimal point theorem together with corresponding variants of Ekeland variational principle. In the second part of this article, there is a discussion on Ekeland variational principle and minimal point theorem ...
Meghea Irina, Stamin Cristina Stefania
doaj +1 more source
Double variational principle for mean dimension with potential [PDF]
Advances in Mathematics, 2019 This paper contributes to the mean dimension theory of dynamical systems. We introduce a new concept called mean dimension with potential and develop a variational principle for it. This is a mean dimension analogue of the theory of topological pressure.
M. Tsukamoto
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A generalized variational principle with applications to excited state mean field theory. [PDF]
Journal of Chemical Theory and Computation, 2019 We present a generalization of the variational principle that is compatible with any Hamiltonian eigenstate that can be specified uniquely by a list of properties.
Jacqueline A. R. Shea +2 more
semanticscholar +1 more source
Time dependent variational principle for tree Tensor Networks [PDF]
SciPost Physics, 2019 We present a generalization of the Time Dependent Variational Principle (TDVP) to any finite sized loop-free tensor network. The major advantage of TDVP is that it can be employed as long as a representation of the Hamiltonian in the same tensor ...
D. Bauernfeind, M. Aichhorn
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An alternative view on the Bateman-Luke variational principle [PDF]
, 2019 A new derivation of the Bernoulli equation for water waves in three-dimensional rotating and translating coordinate systems is given. An alternative view on the Bateman-Luke variational principle is presented.
Ardakani, Hamid Alemi
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Herglotz' variational principle and Lax-Oleinik evolution [PDF]
Journal des Mathématiques Pures et Appliquées, 2019 We develop an elementary method to give a Lipschitz estimate for the minimizers in the problem of Herglotz' variational principle proposed in \cite{CCWY2018} in the time-dependent case.
P. Cannarsa +4 more
semanticscholar +1 more source
A powerful and simple frequency formula to nonlinear fractal oscillators
Journal of Low Frequency Noise, Vibration and Active Control, 2021 In this work, a fractal nonlinear oscillator is successfully established by fractal derivative in a fractal space, and its variational principle is obtained by semi-inverse transform method.
Kang-Le Wang, Chun-Fu Wei
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Variational approach to transport in quantum dots
, 2011 We have derived a variational principle that defines the nonequilibrium steady-state transport across a correlated impurity mimicking, e.g., a quantum dot coupled to biased leads.
A. C. Hewson +2 more
core +1 more source