Accurate many-body electronic structure near the basis set limit: Application to the chromium dimer [PDF]
, 2020 We describe a method for computing near-exact energies for correlated systems with large Hilbert spaces. The method efficiently identifies the most important basis states (Slater determinants) and performs a variational calculation in the subspace ...
Holmes, Adam A. +6 more
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Variational Quantum Monte Carlo Method with a Neural-Network Ansatz for Open Quantum Systems. [PDF]
Physical Review Letters, 2019 The possibility to simulate the properties of many-body open quantum systems with a large number of degrees of freedom (d.o.f.) is the premise to the solution of several outstanding problems in quantum science and quantum information. The challenge posed
A. Nagy, V. Savona
semanticscholar +1 more source
Fractional Variational Iteration Method for Fractional Nonlinear Differential Equations [PDF]
, 2010 Recently, fractional differential equations have been investigated via the famous variational iteration method. However, all the previous works avoid the term of fractional derivative and handle them as a restricted variation.
Almeida +14 more
core +2 more sources
Abstract and Applied Analysis, 2014 We propose the variational iteration transform method in the sense of local fractional derivative, which is derived from the coupling method of local fractional variational iteration method and differential transform method.
Yong-Ju Yang, Liu-Qing Hua
doaj +1 more source
Solutions of (2+1)-D & (3+1)-D Burgers Equations by New Laplace Variational Iteration Technique
Axioms, 2023 The new Laplace variational iterative method is used in this research for solving the (2+1)-D and (3+1)-D Burgers equations. This technique relies on the modified variational iteration method and the Laplace transform.
Gurpreet Singh +4 more
doaj +1 more source
Comment on “Variational Iteration Method for Fractional Calculus Using He’s Polynomials”
Abstract and Applied Analysis, 2012 Recently Liu applied the variational homotopy perturbation method for fractional initial boundary value problems. This note concludes that the method is a modified variational iteration method using He’s polynomials.
Ji-Huan He
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Different Groups of Variational Principles for Whitham-Broer-Kaup Equations in Shallow Water [PDF]
Journal of Applied and Computational Mechanics, 2020 Because the variational theory is the theoretical basis for many kinds of analytical or numerical methods, it is an essential but difficult task to seek explicit functional formulations whose extrema are sought by the nonlinear and complex models. By the
Xiao-Qun Cao +4 more
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EVolution: an edge-based variational method for non-rigid multi-modal image registration
Physics in Medicine and Biology, 2016 Image registration is part of a large variety of medical applications including diagnosis, monitoring disease progression and/or treatment effectiveness and, more recently, therapy guidance.
B. Denis de Senneville +3 more
semanticscholar +1 more source
Multistep Hybrid Extragradient Method for Triple Hierarchical Variational Inequalities
Abstract and Applied Analysis, 2013 We consider a triple hierarchical variational inequality problem (THVIP), that is, a variational inequality problem defined over the set of solutions of another variational inequality problem which is defined over the intersection of the fixed point set ...
Zhao-Rong Kong +3 more
doaj +1 more source
Analytic approximate solutions for some nonlinear Parabolic dynamical wave equations
Journal of Taibah University for Science, 2020 In this paper, modified variational iteration algorithm-II is investigated for finding approximate solutions of nonlinear Parabolic equations. Comparisons of the MVIA-II with trigonometric B-spline collocation method, variational iteration method ...
Hijaz Ahmad +3 more
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