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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">cheb</journal-id><journal-title-group><journal-title xml:lang="ru">Чебышевский сборник</journal-title><trans-title-group xml:lang="en"><trans-title>Chebyshevskii Sbornik</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2226-8383</issn><publisher><publisher-name>Tula State Lev Tolstoy  Pedagogical University</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.22405/2226-8383-2020-21-4-243-256</article-id><article-id custom-type="elpub" pub-id-type="custom">cheb-899</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>Статьи</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Article</subject></subj-group></article-categories><title-group><article-title>Линейная комбинация схемы «кабаре» и «крест» с весовыми коэффициентами, полученными из условия минимизации порядка погрешности аппроксимации</article-title><trans-title-group xml:lang="en"><trans-title>Linear combination of the Upwind and Standard Leapfrog difference schemes with weight coefficients, obtained by minimizing the approximation error</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Сухинов</surname><given-names>Александр Иванович</given-names></name><name name-style="western" xml:lang="en"><surname>Sukhinov</surname><given-names>Alexander Ivanovich</given-names></name></name-alternatives><bio xml:lang="ru"><p>член-корреспондент РАН, доктор физико-математических наук</p></bio><bio xml:lang="en"><p>Corresponding member of the RAS, Doctor of Physical andMathematical Sciences</p></bio><email xlink:type="simple">sukhinov@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Чистяков</surname><given-names>Александр Евгеньевич</given-names></name><name name-style="western" xml:lang="en"><surname>Chistyakov</surname><given-names>Alexander Evgenjevich</given-names></name></name-alternatives><bio xml:lang="ru"><p>доктор физико-математических наук</p></bio><bio xml:lang="en"><p>Doctor of Physical and Mathematical Sciences</p></bio><email xlink:type="simple">cheese_05@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Проценко</surname><given-names>Елена Анатольевна</given-names></name><name name-style="western" xml:lang="en"><surname>Protsenko</surname><given-names>Elena Anatolevna</given-names></name></name-alternatives><bio xml:lang="ru"><p>кандидат физико-математических наук</p></bio><bio xml:lang="en"><p>PhD in Physico-mathematical sciences</p></bio><email xlink:type="simple">eapros@rambler.ru</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Атаян</surname><given-names>Ася Михайловна</given-names></name><name name-style="western" xml:lang="en"><surname>Atayan</surname><given-names>Asya Mikhaylovna</given-names></name></name-alternatives><bio xml:lang="ru"><p>аспирант</p></bio><bio xml:lang="en"><p>PhD student</p></bio><email xlink:type="simple">atayan24@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Донской государственный технический университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Don State Technical University</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Таганрогский институт имени А.П. Чехова (филиал) Ростовского государственного экономического университета (РИНХ)</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Taganrog Institute named after A.P. Chekhov (branch) of the Rostov State Economic University (RSUE)</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2020</year></pub-date><pub-date pub-type="epub"><day>28</day><month>01</month><year>2021</year></pub-date><volume>21</volume><issue>4</issue><fpage>243</fpage><lpage>256</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Сухинов А.И., Чистяков А.Е., Проценко Е.А., Атаян А.М., 2020</copyright-statement><copyright-year>2020</copyright-year><copyright-holder xml:lang="ru">Сухинов А.И., Чистяков А.Е., Проценко Е.А., Атаян А.М.</copyright-holder><copyright-holder xml:lang="en">Sukhinov A.I., Chistyakov A.E., Protsenko E.A., Atayan A.M.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://www.chebsbornik.ru/jour/article/view/899">https://www.chebsbornik.ru/jour/article/view/899</self-uri><kwd-group xml:lang="ru"><kwd>задача переноса</kwd><kwd>схема «крест»</kwd><kwd>схема «кабаре»</kwd><kwd>линейно-взвешенная комбинация</kwd><kwd>повышение точности</kwd></kwd-group><kwd-group xml:lang="en"><kwd>transfer problem</kwd><kwd>Upwind Leapfrog difference scheme</kwd><kwd>Standard Leapfrog difference scheme</kwd><kwd>linear-weighted combination</kwd><kwd>increase accuracy</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
