Results 51 to 60 of about 217,424 (259)

A New Hybrid Optimal Auxiliary Function Method for Approximate Solutions of Non-Linear Fractional Partial Differential Equations

Fractal and Fractional, 2023
This study uses the optimal auxiliary function method to approximate solutions for fractional-order non-linear partial differential equations, utilizing Riemann–Liouville’s fractional integral and the Caputo derivative. This approach eliminates the need for assumptions about parameter magnitudes, offering a significant advantage.
Rashid Ashraf, Rashid Nawaz, Osama Alabdali, Nicholas Fewster-Young, Ali Hasan Ali, Firas Ghanim, Alina Alb Lupaş   +6 more
openaire   +2 more sources

The tensor hypercontracted parametric reduced density matrix algorithm: coupled-cluster accuracy with O(r^4) scaling

, 2013
Tensor hypercontraction is a method that allows the representation of a high-rank tensor as a product of lower-rank tensors. In this paper, we show how tensor hypercontraction can be applied to both the electron repulsion integral (ERI) tensor and the ...
Christine Schwerdtfeger, David Mazziotti, Helen van Aggelen, Levine I. N., Neil Shenvi, Parr R. G., Szabo A., Weitao Yang, Yang Yang   +8 more
core   +1 more source

Online correction method for AD conversion based on least squares algorithm

Dianzi Jishu Yingyong, 2020
Aiming at the nonlinear problem between the actual physical values and the converted digital values in AD conversion process, a software online correction method is proposed.
Jia Hongmin, Zhang Liguang, Dan Jianchao
doaj   +1 more source

New results on subgradient methods for strongly convex optimization problems with a unified analysis

, 2015
We develop subgradient- and gradient-based methods for minimizing strongly convex functions under a notion which generalizes the standard Euclidean strong convexity.
Ito, Masaru
core   +1 more source

The PHMC algorithm for simulations of dynamical fermions: I -- description and properties [PDF]

, 1998
We give a detailed description of the so-called Polynomial Hybrid Monte Carlo (PHMC) algorithm. The effects of the correction factor, which is introduced to render the algorithm exact, are discussed, stressing their relevance for the statistical ...
Alexandrou, Borrelli, Brower, Bunk, de Forcrand, de Forcrand, Duane, Edwards, Fox, Frezzotti, Frezzotti, Frezzotti, Gottlieb, Jansen, Jansen, Jansen, Jansen, Jansen, Jansen, Jegerlehner, Kalkreuter, Karl Jansen, Luscher, Lüscher, Lüscher, Lüscher, Lüscher, Lüscher, Montvay, Peardon, Press, Roberto Frezzotti, Sexton, Sheikholeslami, Sint, Symanzik, Symanzik, Symanzik, Wilson   +38 more
core   +2 more sources

Extension of the Optimal Auxiliary Function Method to Solve the System of a Fractional-Order Whitham–Broer–Kaup Equation

Fractal and Fractional, 2023
In this paper, we introduce and implement the optimal auxiliary function method to solve a system of fractional-order Whitham–Broer–Kaup equations, a class of nonlinear partial differential equations with broad applications in mathematical physics.
Zainab Alsheekhhussain, Khaled Moaddy, Rasool Shah, Saleh Alshammari, Mohammad Alshammari, M. Mossa Al-Sawalha, Aisha Abdullah Alderremy   +6 more
openaire   +2 more sources

Semi-Analytical Solutions for the Shimizu–Morioka Dynamical System

Axioms
The Shimizu–Morioka dynamical system is analytically investigated in this paper by means of the Optimal Auxiliary Functions Method (OAFM). This system has a chaotic dynamical behavior, specified for more physical applications as chaos synchronization, an
Remus-Daniel Ene, Nicolina Pop, Rodica Badarau   +2 more
doaj   +1 more source

Numerical results on the short-range spin correlation functions in the ground state of the two-dimensional Hubbard model

, 2017
Optical lattice experiments with ultracold fermion atoms and quantum gas microscopy have recently realized direct measurements of magnetic correlations at the site-resolved level.
Qin, Mingpu, Shi, Hao, Zhang, Shiwei
core   +1 more source

Closed-Form Almost Periodical Solutions for a Dynamical System Using the Optimal Auxiliary Functions Method

Mathematics
The main aim of our paper is concerning the damped oscillations of 3D dynamical systems, depending on a single physical parameter. This system does not admit Hamilton–Poisson structure but can be explicitly integrated, and the exact parametric solutions ...
Remus-Daniel Ene, Romeo Negrea, Rodica Badarau, Nicolina Pop   +3 more
doaj   +1 more source

AHP in nonlinear scaling: from two-envelope problem to modeling by predictors [PDF]

Production
Paper aims Extending the AHP abilities to new areas from explaining the famous Two-Envelope paradox to finding priorities as functions of auxiliary variables is suggested. Originality The proposed innovative and advantageous approach permits to find the
Stan Lipovetsky
doaj   +2 more sources