Results 31 to 40 of about 982,194 (337)
Variational Methods in AdS/CFT
, 2009 We prove that the AdS/CFT calculation of 1-point functions can be drastically simplified by using variational arguments. We give a simple universal proof, valid for any theory that can be derived from a Lagrangian, that the large radius divergencies in 1-
E. Witten +5 more
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Variational integrators, the Newmark scheme, and dissipative systems [PDF]
, 1999 Variational methods are a class of symplectic-momentum integrators for ODEs. Using these schemes, it is shown that the classical Newmark algorithm is structure preserving in a non-obvious way, thus explaining the observed numerical behavior ...
Kane, C. +3 more
core +2 more sources
Extended Extragradient Methods for Generalized Variational Inequalities
Journal of Applied Mathematics, 2012 We suggest a modified extragradient method for solving the generalized variational inequalities in a Banach space. We prove some strong convergence results under some mild conditions on parameters. Some special cases are also discussed.
Yonghong Yao +3 more
doaj +1 more source
Adaptive Methods or Variational Inequalities with Relatively Smooth and Reletively Strongly Monotone Operators [PDF]
arXiv, 2023 The article is devoted to some adaptive methods for variational inequalities with relatively smooth and relatively strongly monotone operators. Starting from the recently proposed proximal variant of the extragradient method for this class of problems, we investigate in detail the method with adaptively selected parameter values.
arxiv
Crystalline variational methods [PDF]
Proceedings of the National Academy of Sciences, 2002 A surface free energy function is defined to be crystalline if its Wulff shape (the equilibrium crystal shape) is a polyhedron. All the questions that one considers for the area functional, where the surface free energy per unit area is 1 for all normal directions, can be considered for crystalline surface free energies.
openaire +3 more sources
Benchmark Test Calculation of a Four-Nucleon Bound State [PDF]
, 2001 In the past, several efficient methods have been developed to solve the Schroedinger equation for four-nucleon bound states accurately. These are the Faddeev-Yakubovsky, the coupled-rearrangement-channel Gaussian-basis variational, the stochastic ...
A. Kievsky +83 more
core +3 more sources
Particle-based Energetic Variational Inference [PDF]
Statistics and Computing. 2021. 31:34, 2020 We introduce a new variational inference (VI) framework, called energetic variational inference (EVI). It minimizes the VI objective function based on a prescribed energy-dissipation law. Using the EVI framework, we can derive many existing Particle-based Variational Inference (ParVI) methods, including the popular Stein Variational Gradient Descent ...
arxiv +1 more source
Regularization and Iterative Methods for Monotone Variational Inequalities
Fixed Point Theory and Applications, 2010 We provide a general regularization method for monotone variational inequalities, where the regularizer is a Lipschitz continuous and strongly monotone operator. We also introduce an iterative method as discretization of the regularization method.
Xu Hong-Kun, Xu Xiubin
doaj +2 more sources
Boundary Value Problems, 2017 In this paper, we study the following nonlinear problem of Kirchhoff type: { − ( a + b ∫ R 3 | ∇ u | 2 ) Δ u + λ V ( x ) u = | u | p − 2 u , in R 3 , u ∈ H 1 ( R 3 ) , $$ \textstyle\begin{cases} - ( a + b\int_{{\mathbb{R}^{3}}} \vert {\nabla u} \vert ...
Danqing Zhang, Guoqing Chai, Weiming Liu
doaj +1 more source
Variational Methods in Loop Quantum Cosmology
, 2006 An action functional for the loop quantum cosmology difference equation is presented. It is shown that by guessing the general form of the solution and optimizing the action functional with respect to the parameters in the guessed solution one can obtain
A Shojai +5 more
core +1 more source