<?xml version="1.0" encoding="UTF-8"?> <!DOCTYPE book PUBLIC "-//NLM//DTD BITS Book Interchange DTD v2.3 20210610//EN" "BITS-book2.3.dtd"> <book xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" book-type="conference-proceedings" dtd-version="2.3" xml:lang="ru"> <front> <book-meta>  <book-id book-id-type="isbn">978-5-6054968-1-6</book-id>   <book-id pub-id-type="doi">10.21661/a-951</book-id>   <title-group>  <book-title xml:lang="ru">Актуальные направления научных исследований: перспективы развития</book-title>   <trans-title-group xml:lang="en"> <trans-title>Relevant lines of scientific research: theory and practice</trans-title> </trans-title-group>  </title-group>  <description xml:lang="ru"> <p>В сборнике представлены материалы участников II Всероссийской научно-практической конференции, посвященные актуальным направлениям развития образования и науки. Приведены результаты теоретических и прикладных изысканий представителей научного и образовательного сообщества в данной области.
Предназначен для широкого круга читателей.
Статьи представлены в авторской редакции.</p> </description>   <contrib-group>  <contrib contrib-type="editor" id="editor1">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Кожанов</surname> <given-names>Виктор Иванович</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Kozhanov</surname> <given-names>Victor Ivanovich</given-names> </name>  </name-alternatives>   <email xlink:type="simple">sportkomplex.chgu@yandex.ru</email> </contrib>  <contrib contrib-type="editor" id="editor2">  <contrib-id contrib-id-type="role">executive_editor</contrib-id>    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Яковлева</surname> <given-names>Татьяна Валериановна</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Yakovleva</surname> <given-names>Tatyana Valerianovna</given-names> </name>  </name-alternatives>   <email xlink:type="simple">info@interactive-plus.ru</email> </contrib>  <contrib contrib-type="editor" id="editor3">  <contrib-id contrib-id-type="role">associate_editor</contrib-id>    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Малышева</surname> <given-names>Екатерина Андреевна</given-names> </name>   </name-alternatives>   <email xlink:type="simple">op3@interactive-plus.ru</email> </contrib>  </contrib-group>   <contrib-group>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm1">  <contrib-id contrib-id-type="role">chief_editor</contrib-id>    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Кожанов</surname> <given-names>Виктор Иванович</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Kozhanov</surname> <given-names>Victor Ivanovich</given-names> </name>  </name-alternatives>   </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm2">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Краснова</surname> <given-names>Светлана Гурьевна</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Krasnova</surname> <given-names>Svetlana Guryevna</given-names> </name>  </name-alternatives>   </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm3">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Кузнецова</surname> <given-names>Наталья Алексеевна</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Kuznetsova</surname> <given-names>Natalya Alekseevna</given-names> </name>  </name-alternatives>   </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm4">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Симонович</surname> <given-names>Николай Евгеньевич</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Simonovich</surname> <given-names>Nikolay Evgenyevich</given-names> </name>  </name-alternatives>   </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm5">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Сорокоумова</surname> <given-names>Галина Вениаминовна</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Sorokoumova</surname> <given-names>Galina Veniaminovna</given-names> </name>  </name-alternatives>  <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-5246-5200</contrib-id> </contrib>  </contrib-group>   <event>  <event-desc xml:lang="ru">Актуальные направления научных исследований: перспективы развития</event-desc>   <event-desc xml:lang="en">Relevant lines of scientific research: theory and practice</event-desc>   <conf-date> <day>11</day> <month>09</month> <year>2025</year> </conf-date>    <conf-loc xml:lang="ru">Чебоксары</conf-loc>  </event>   <publisher> <publisher-name>Центр научного сотрудничества «Интерактив плюс»</publisher-name> </publisher>    <pub-date pub-type="collection"> <year>1900</year> </pub-date>    <permissions> <copyright-statement>Copyright &#x00A9; Аль-Агуар А., 2025</copyright-statement> <copyright-year>2025</copyright-year> <license license-type="open-access" 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>  </book-meta> <book-part book-part-type="conference-paper"> <book-part-meta>   <book-id custom-type="publisher-id" pub-id-type="custom">585892</book-id> <title-group>  <chapter-title xml:lang="ru">Анализ точности, сходимости и устойчивости коллокационного метода</chapter-title>   <trans-title-group xml:lang="en"> <trans-title>Analiz tochnosti, skhodimosti i ustoichivosti kollokatsionnogo metoda</trans-title> </trans-title-group>  </title-group>  <contrib-group>   <contrib contrib-type="author" id="author1">   <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Аль-Агуар</surname> <given-names>Абдурахман Абдалла Мухаммад</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Al aguar</surname> <given-names>Abdurakhman abdalla mukhammad</given-names> </name>   </name-alternatives>  <email xlink:type="simple">1032239736@pfur.ru</email> <xref ref-type="aff" rid="aff1"/> </contrib>   <aff-alternatives id="aff1">   <aff xml:lang="ru">  <institution>ФГАОУ ВО «Российский университет дружбы народов им. П. Лумумбы»</institution>   <country>Россия</country> </aff>    <aff xml:lang="en">  <institution>FGAOU VO &quot;Rossiiskii universitet druzhby narodov im. P. Lumumby&quot;</institution>   <country>Russia</country> </aff>   </aff-alternatives>  </contrib-group>   <fpage>25</fpage> <lpage>27</lpage>   <abstract xml:lang="ru"> <p>статья посвящена актуальным вопросам анализа точности, сходимости и устойчивости коллокационного метода. Автор анализирует, как указанный метод справляется с погрешностью, как быстро он сходится к точному решению и какие факторы влияют на его эффективность.</p> </abstract>           <kwd-group xml:lang="ru">  <kwd>численные методы</kwd>  <kwd>метод коллокаций</kwd>  <kwd>сходимость</kwd>  <kwd>численная устойчивость</kwd>  <kwd>эффект Гиббса</kwd>  <kwd>узлы Чебышева</kwd>  </kwd-group>        </book-part-meta> </book-part> </front>  <back> <ref-list> <title>References</title>  <ref id="ref1"> <label>1</label> <citation-alternatives>  <mixed-citation xml:lang="ru">Кренкель В.Я. Прикладные численные методы / В.Я. Кренкель, В.М. Гусев. – СПб.: Питер, 2020. – 368 с.</mixed-citation>    </citation-alternatives> <element-citation publication-type="other">  <person-group person-group-type="author">  <name> <surname>Кренкель</surname> <given-names>В. Я.</given-names> </name>  <name> <surname>Гусев</surname> <given-names>В. М.</given-names> </name>  </person-group>   <article-title>Прикладные численные методы</article-title>               <publisher-loc>СПб.</publisher-loc> <publisher-name>Питер</publisher-name>  </element-citation> </ref>  <ref id="ref2"> <label>2</label> <citation-alternatives>  <mixed-citation xml:lang="ru">Lovetskiy K.P. Chebyshev collocation method for solving second order ODEs using integration matrices / K.P. Lovetskiy, D.S. Kulyabov, L.A. Sevastianov [and others] // Discrete and Continuous Models and Applied Computational Science. – 2023. – Vol. 31. №2. – P. 150–163. DOI 10.22363/2658-4670-2023-31-2-150-163. EDN WFZCIO</mixed-citation>    </citation-alternatives> <element-citation publication-type="other">  <person-group person-group-type="author">  <name> <surname>Lovetskiy</surname> <given-names>K. P.</given-names> </name>  <name> <surname>Kulyabov</surname> <given-names>D. S.</given-names> </name>  <name> <surname>Sevastianov</surname> <given-names>L. A.</given-names> </name>  </person-group>   <article-title>Chebyshev collocation method for solving second order ODEs using integration matrices</article-title> <source>Discrete and Continuous Models and Applied Computational Science</source> <year>2023</year> <volume>31</volume> <issue>2</issue> <fpage>150</fpage> <lpage>163</lpage> <pub-id pub-id-type="doi">10.22363/2658-4670-2023-31-2-150-163</pub-id> <pub-id pub-id-type="custom" custom-type="edn">WFZCIO</pub-id>       </element-citation> </ref>  </ref-list> </back>  </book>