Results 31 to 40 of about 292,102 (216)
Path Integral Variational Methods for Strongly Correlated Systems [PDF]
We introduce a new approach to highly correlated systems which generalizes the Fermi Hypernetted Chain and Correlated Basis Function techniques. While the latter approaches can only be applied to systems for which a nonrelativistic wave function can be ...
A. Fabrocini+26 more
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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
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Variational methods in the presence of symmetry
The purpose of this paper is to survey and to provide a unified framework to connect a diverse group of results, currently scattered in the literature, that can be usefully viewed as consequences of applying variational methods to problems involving ...
Borwein Jonathan M., Zhu Qiji J.
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Evaluation and Comparison of the Configuration Interaction Calculations for Complex Atoms
Configuration interaction (CI) methods are the method of choice for the determination of wave functions for complex atomic systems from which a variety of atomic properties may be computed.
Charlotte Froese Fischer
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Crystalline variational methods [PDF]
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.
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Variational Methods for Normal Integration [PDF]
The need for an efficient method of integration of a dense normal field is inspired by several computer vision tasks, such as shape-from-shading, photometric stereo, deflectometry, etc. Inspired by edge-preserving methods from image processing, we study in this paper several variational approaches for normal integration, with a focus on non-rectangular
Jean-François Aujol+3 more
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Regularization and Iterative Methods for Monotone Variational Inequalities
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
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Variational Methods in Loop Quantum Cosmology
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
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Extended Extragradient Methods for Generalized Variational Inequalities
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
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This paper discusses a monotone variational inequality problem with a variational inequality constraint over the common solution set of a general system of variational inequalities (GSVI) and a common fixed point (CFP) of a countable family of ...
Lu-Chuan Ceng, Xiaoye Yang
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