MATHEMATICAL ANALYSIS OF NON-GAUSSIAN REGIME ORIGINATION IN NUMERICAL INTEGRATION OF ISOELECTROFOCUSING PROBLEM

The mathematical analysis of the problem of so-called “non-Gaussian” regimes in the computational solution of the integro-differential isoelectric focusing (IEF) problem is done. Due to the problem analytic transformation, the development of the optimization algorithms and the numerical asymptotic t...

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Main Author: Lyudmila V. Sakharova
Format: Article
Language:Russian
Published: Don State Technical University 2012-08-01
Series:Advanced Engineering Research
Subjects:
Online Access:https://www.vestnik-donstu.ru/jour/article/view/581
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author Lyudmila V. Sakharova
author_facet Lyudmila V. Sakharova
author_sort Lyudmila V. Sakharova
collection DOAJ
description The mathematical analysis of the problem of so-called “non-Gaussian” regimes in the computational solution of the integro-differential isoelectric focusing (IEF) problem is done. Due to the problem analytic transformation, the development of the optimization algorithms and the numerical asymptotic testing, it is found that non-Gaussian regimes are the property of the original mathematical problem, and not the computational error accumulation consequence.
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series Advanced Engineering Research
spelling doaj-art-64b9900a0ae44993a10c64e01e0dba522025-08-20T03:43:33ZrusDon State Technical UniversityAdvanced Engineering Research2687-16532012-08-01124515574MATHEMATICAL ANALYSIS OF NON-GAUSSIAN REGIME ORIGINATION IN NUMERICAL INTEGRATION OF ISOELECTROFOCUSING PROBLEMLyudmila V. Sakharova0Mathematics Department, Admiral Ushakov Maritime State Academy, Rostov-on-Don branchThe mathematical analysis of the problem of so-called “non-Gaussian” regimes in the computational solution of the integro-differential isoelectric focusing (IEF) problem is done. Due to the problem analytic transformation, the development of the optimization algorithms and the numerical asymptotic testing, it is found that non-Gaussian regimes are the property of the original mathematical problem, and not the computational error accumulation consequence.https://www.vestnik-donstu.ru/jour/article/view/581mathematical simulationboundary-value problemnon-gaussian regimesgaussian distributionoptimization algorithm.
spellingShingle Lyudmila V. Sakharova
MATHEMATICAL ANALYSIS OF NON-GAUSSIAN REGIME ORIGINATION IN NUMERICAL INTEGRATION OF ISOELECTROFOCUSING PROBLEM
Advanced Engineering Research
mathematical simulation
boundary-value problem
non-gaussian regimes
gaussian distribution
optimization algorithm.
title MATHEMATICAL ANALYSIS OF NON-GAUSSIAN REGIME ORIGINATION IN NUMERICAL INTEGRATION OF ISOELECTROFOCUSING PROBLEM
title_full MATHEMATICAL ANALYSIS OF NON-GAUSSIAN REGIME ORIGINATION IN NUMERICAL INTEGRATION OF ISOELECTROFOCUSING PROBLEM
title_fullStr MATHEMATICAL ANALYSIS OF NON-GAUSSIAN REGIME ORIGINATION IN NUMERICAL INTEGRATION OF ISOELECTROFOCUSING PROBLEM
title_full_unstemmed MATHEMATICAL ANALYSIS OF NON-GAUSSIAN REGIME ORIGINATION IN NUMERICAL INTEGRATION OF ISOELECTROFOCUSING PROBLEM
title_short MATHEMATICAL ANALYSIS OF NON-GAUSSIAN REGIME ORIGINATION IN NUMERICAL INTEGRATION OF ISOELECTROFOCUSING PROBLEM
title_sort mathematical analysis of non gaussian regime origination in numerical integration of isoelectrofocusing problem
topic mathematical simulation
boundary-value problem
non-gaussian regimes
gaussian distribution
optimization algorithm.
url https://www.vestnik-donstu.ru/jour/article/view/581
work_keys_str_mv AT lyudmilavsakharova mathematicalanalysisofnongaussianregimeoriginationinnumericalintegrationofisoelectrofocusingproblem