THE EFFECTIVENESS OF LOCAL SEARCH METHODS IN THE PROBLEM OF FINDING THE MINIMUM ENERGY OF A 2-D CRYSTAL

Abstract

The work is devoted to solving the problem of finding the energy minimum of the aggregate of atoms of a fragment of a planar crystal lattice. A mathematical statement of the problem is given. For its solution, two classes of methods are used: quasi-Newton methods of the L-BFGS family and coordinate descent methods that do not require derivatives. It has been shown experimentally that, depending on the formulation, methods of one or another class are effective.

Authors and Affiliations

Andrei Gorchakov, Mikhail Posypkin

Keywords

Related Articles

IMMERSIVE JOURNALISM: APPROACHES TO THEORY AND PROBLEMS OF EDUCATION

Immersive journalism as a new phenomenon is actively discussed nowadays by media experts and within the academic community. In this paper first attempts of theoretical reflection on immersive journalism is undertaken by...

SYNTHESIS OF FAULT ESTIMATION OBSERVER, BASED ON SPECTRAL MIMO H2 OPTIMIZATION

This paper is devoted to slowly varying additive fault detection with implementation of the observer-filter to be designed. Sensitivity of the observer to the external disturbance is to be minimized by the choice of its...

THE STUDY OF THE PURCHASE PROPENSITY OF THE USER OF THE ONLINE STORE ON THE BASIS OF TECHNICAL DATA ON VISITS OF VISITORS TO THE ONLINE STORE

The paper describes the development of an automatisation service for marketing campaigns on the basis of web usage data mining. The source web usage data were obtained from Yandex.Metrika service. On the basis of explora...

IT-EDUCATION USING INTELLIGENT LEARNING ENVIRONMENTS

A new systematic approach for structuring of content, methodology and didactics for IT courses is proposed. A mixture of frame-based and production systems is used to represent the knowledge and organize the interactive...

TABULAR ARTIFICIAL NEURAL NETWORK IMPLEMENTATION OF RADIAL BASIS FUNCTIONS FOR THE SAMPLES CLASSIFICATION

The development and study of a new constructive algorithm for constructing models for sample classification using an artificial neural network with radial basis functions in a Microsoft Excel spreadsheet environment with...

Download PDF file
  • EP ID EP320423
  • DOI 10.25559/SITITO.2017.2.247
  • Views 119
  • Downloads 0

How To Cite

Andrei Gorchakov, Mikhail Posypkin (2017). THE EFFECTIVENESS OF LOCAL SEARCH METHODS IN THE PROBLEM OF FINDING THE MINIMUM ENERGY OF A 2-D CRYSTAL. Современные информационные технологии и ИТ-образование, 13(2), 97-102. https://europub.co.uk/articles/-A-320423