<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE ArticleSet PUBLIC "-//NLM//DTD PubMed 2.7//EN" "https://dtd.nlm.nih.gov/ncbi/pubmed/in/PubMed.dtd">
<ArticleSet>
<Article>
<Journal>
				<PublisherName>University of Guilan</PublisherName>
				<JournalTitle>Journal of Mathematical Modeling</JournalTitle>
				<Issn>2345-394X</Issn>
				<Volume>9</Volume>
				<Issue>3</Issue>
				<PubDate PubStatus="epublish">
					<Year>2021</Year>
					<Month>09</Month>
					<Day>01</Day>
				</PubDate>
			</Journal>
<ArticleTitle>Recent advances in the numerical solution of Volterra integral equations</ArticleTitle>
<VernacularTitle></VernacularTitle>
			<FirstPage>361</FirstPage>
			<LastPage>373</LastPage>
			<ELocationID EIdType="pii">4461</ELocationID>
			
<ELocationID EIdType="doi">10.22124/jmm.2020.17997.1554</ELocationID>
			
			<Language>EN</Language>
<AuthorList>
<Author>
					<FirstName>Ali</FirstName>
					<LastName>Abdi</LastName>
<Affiliation>Faculty of Mathematical Sciences,               University of Tabriz, Tabriz, Iran</Affiliation>

</Author>
</AuthorList>
				<PublicationType>Journal Article</PublicationType>
			<History>
				<PubDate PubStatus="received">
					<Year>2020</Year>
					<Month>10</Month>
					<Day>22</Day>
				</PubDate>
			</History>
		<Abstract>Natural Volterra Runge--Kutta methods and general linear methods are two large family of the methods which have recently attracted more attention in the numerical solution of Volterra integral equations. The purpose of the paper is the presentation of some recent advances in these methods. Also, implementation issues for these methods will be discussed.</Abstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">Volterra integral equations</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">general linear methods</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">natural Volterra Runge--Kutta methods</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Nordsieck technique</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">implementation issues</Param>
			</Object>
		</ObjectList>
<ArchiveCopySource DocType="pdf">https://jmm.guilan.ac.ir/article_4461_522a9497c7ab9968792f8dd1d29f9d37.pdf</ArchiveCopySource>
</Article>
</ArticleSet>
