ÿþ<html xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:w="urn:schemas-microsoft-com:office:word" xmlns:m="http://schemas.microsoft.com/office/2004/12/omml" xmlns="http://www.w3.org/TR/REC-html40"> <head> <meta http-equiv=Content-Type content="text/html; charset=unicode"> <meta name=ProgId content=Word.Document> <meta name=Generator content="Microsoft Word 14"> <meta name=Originator content="Microsoft Word 14"> <link rel=File-List href="index_files/filelist.xml"> <link rel=Edit-Time-Data href="index_files/editdata.mso"> <!--[if !mso]> <style> v\:* {behavior:url(#default#VML);} o\:* {behavior:url(#default#VML);} w\:* {behavior:url(#default#VML);} .shape {behavior:url(#default#VML);} </style> <![endif]--> <title>Jue Yan's Homepage</title> <link rel=themeData href="index_files/themedata.thmx"> <link rel=colorSchemeMapping href="index_files/colorschememapping.xml"> <!--[if gte mso 9]><xml> <w:WordDocument> <w:View>Print</w:View> <w:Zoom>150</w:Zoom> <w:SpellingState>Clean</w:SpellingState> <w:GrammarState>Clean</w:GrammarState> <w:TrackMoves>false</w:TrackMoves> <w:TrackFormatting/> <w:ValidateAgainstSchemas/> <w:SaveIfXMLInvalid>false</w:SaveIfXMLInvalid> <w:IgnoreMixedContent>false</w:IgnoreMixedContent> <w:AlwaysShowPlaceholderText>false</w:AlwaysShowPlaceholderText> <w:DoNotPromoteQF/> <w:LidThemeOther>EN-US</w:LidThemeOther> <w:LidThemeAsian>ZH-CN</w:LidThemeAsian> <w:LidThemeComplexScript>X-NONE</w:LidThemeComplexScript> <w:Compatibility> <w:BreakWrappedTables/> <w:SnapToGridInCell/> <w:WrapTextWithPunct/> <w:UseAsianBreakRules/> <w:DontGrowAutofit/> <w:SplitPgBreakAndParaMark/> <w:DontVertAlignCellWithSp/> <w:DontBreakConstrainedForcedTables/> <w:DontVertAlignInTxbx/> <w:Word11KerningPairs/> <w:CachedColBalance/> </w:Compatibility> <w:BrowserLevel>MicrosoftInternetExplorer4</w:BrowserLevel> <m:mathPr> <m:mathFont m:val="Cambria Math"/> <m:brkBin m:val="before"/> <m:brkBinSub m:val="&#45;-"/> <m:smallFrac m:val="off"/> <m:dispDef/> <m:lMargin m:val="0"/> <m:rMargin m:val="0"/> <m:defJc m:val="centerGroup"/> <m:wrapIndent m:val="1440"/> <m:intLim m:val="subSup"/> <m:naryLim m:val="undOvr"/> </m:mathPr></w:WordDocument> </xml><![endif]--><!--[if gte mso 9]><xml> <w:LatentStyles DefLockedState="false" DefUnhideWhenUsed="false" DefSemiHidden="false" DefQFormat="false" LatentStyleCount="267"> <w:LsdException Locked="false" QFormat="true" Name="Normal"/> <w:LsdException Locked="false" QFormat="true" Name="heading 1"/> <w:LsdException Locked="false" QFormat="true" Name="heading 2"/> <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" QFormat="true" Name="heading 3"/> <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" QFormat="true" Name="heading 4"/> <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" QFormat="true" Name="heading 5"/> <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" QFormat="true" Name="heading 6"/> <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" QFormat="true" Name="heading 7"/> <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" QFormat="true" Name="heading 8"/> <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" QFormat="true" Name="heading 9"/> <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" QFormat="true" Name="caption"/> <w:LsdException Locked="false" QFormat="true" Name="Title"/> <w:LsdException Locked="false" Priority="1" Name="Default Paragraph Font"/> <w:LsdException Locked="false" QFormat="true" Name="Subtitle"/> <w:LsdException Locked="false" QFormat="true" Name="Strong"/> <w:LsdException Locked="false" QFormat="true" Name="Emphasis"/> <w:LsdException Locked="false" Priority="99" Name="No List"/> <w:LsdException Locked="false" Priority="99" SemiHidden="true" Name="Placeholder Text"/> <w:LsdException Locked="false" Priority="1" QFormat="true" Name="No Spacing"/> <w:LsdException Locked="false" Priority="60" Name="Light Shading"/> <w:LsdException Locked="false" Priority="61" Name="Light List"/> <w:LsdException Locked="false" Priority="62" Name="Light Grid"/> <w:LsdException Locked="false" Priority="63" Name="Medium Shading 1"/> <w:LsdException Locked="false" Priority="64" Name="Medium Shading 2"/> <w:LsdException Locked="false" Priority="65" Name="Medium List 1"/> <w:LsdException Locked="false" Priority="66" Name="Medium List 2"/> <w:LsdException Locked="false" Priority="67" Name="Medium Grid 1"/> <w:LsdException Locked="false" Priority="68" Name="Medium Grid 2"/> <w:LsdException Locked="false" Priority="69" Name="Medium Grid 3"/> <w:LsdException Locked="false" Priority="70" Name="Dark List"/> <w:LsdException Locked="false" Priority="71" Name="Colorful Shading"/> <w:LsdException Locked="false" Priority="72" Name="Colorful List"/> <w:LsdException Locked="false" Priority="73" Name="Colorful Grid"/> <w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 1"/> <w:LsdException Locked="false" Priority="61" Name="Light List Accent 1"/> <w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 1"/> <w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 1"/> <w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 1"/> <w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 1"/> <w:LsdException Locked="false" Priority="99" SemiHidden="true" Name="Revision"/> <w:LsdException Locked="false" Priority="34" QFormat="true" Name="List Paragraph"/> <w:LsdException Locked="false" Priority="29" QFormat="true" Name="Quote"/> <w:LsdException Locked="false" Priority="30" QFormat="true" Name="Intense Quote"/> <w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 1"/> <w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 1"/> <w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 1"/> <w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 1"/> <w:LsdException Locked="false" Priority="70" Name="Dark List Accent 1"/> <w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 1"/> <w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 1"/> <w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 1"/> <w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 2"/> <w:LsdException Locked="false" Priority="61" Name="Light List Accent 2"/> <w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 2"/> <w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 2"/> <w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 2"/> <w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 2"/> <w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 2"/> <w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 2"/> <w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 2"/> <w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 2"/> <w:LsdException Locked="false" Priority="70" Name="Dark List Accent 2"/> <w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 2"/> <w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 2"/> <w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 2"/> <w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 3"/> <w:LsdException Locked="false" Priority="61" Name="Light List Accent 3"/> <w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 3"/> <w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 3"/> <w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 3"/> <w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 3"/> <w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 3"/> <w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 3"/> <w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 3"/> <w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 3"/> <w:LsdException Locked="false" Priority="70" Name="Dark List Accent 3"/> <w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 3"/> <w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 3"/> <w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 3"/> <w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 4"/> <w:LsdException Locked="false" Priority="61" Name="Light List Accent 4"/> <w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 4"/> <w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 4"/> <w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 4"/> <w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 4"/> <w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 4"/> <w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 4"/> <w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 4"/> <w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 4"/> <w:LsdException Locked="false" Priority="70" Name="Dark List Accent 4"/> <w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 4"/> <w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 4"/> <w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 4"/> <w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 5"/> <w:LsdException Locked="false" Priority="61" Name="Light List Accent 5"/> <w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 5"/> <w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 5"/> <w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 5"/> <w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 5"/> <w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 5"/> <w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 5"/> <w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 5"/> <w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 5"/> <w:LsdException Locked="false" Priority="70" Name="Dark List Accent 5"/> <w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 5"/> <w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 5"/> <w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 5"/> <w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 6"/> <w:LsdException Locked="false" Priority="61" Name="Light List Accent 6"/> <w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 6"/> <w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 6"/> <w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 6"/> <w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 6"/> <w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 6"/> <w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 6"/> <w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 6"/> <w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 6"/> <w:LsdException Locked="false" Priority="70" Name="Dark List Accent 6"/> <w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 6"/> <w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 6"/> <w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 6"/> <w:LsdException Locked="false" Priority="19" QFormat="true" Name="Subtle Emphasis"/> <w:LsdException Locked="false" Priority="21" QFormat="true" Name="Intense Emphasis"/> <w:LsdException Locked="false" Priority="31" QFormat="true" Name="Subtle Reference"/> <w:LsdException Locked="false" Priority="32" QFormat="true" Name="Intense Reference"/> <w:LsdException Locked="false" Priority="33" QFormat="true" Name="Book Title"/> <w:LsdException Locked="false" Priority="37" SemiHidden="true" UnhideWhenUsed="true" Name="Bibliography"/> <w:LsdException Locked="false" Priority="39" SemiHidden="true" UnhideWhenUsed="true" QFormat="true" Name="TOC Heading"/> </w:LatentStyles> </xml><![endif]--> <style> <!-- /* Font Definitions */ @font-face {font-family:Wingdings; panose-1:5 0 0 0 0 0 0 0 0 0; mso-font-charset:2; mso-generic-font-family:auto; mso-font-pitch:variable; mso-font-signature:0 268435456 0 0 -2147483648 0;} @font-face {font-family:SimSun; panose-1:2 1 6 0 3 1 1 1 1 1; mso-font-alt:‹[SO; mso-font-charset:134; mso-generic-font-family:auto; mso-font-pitch:variable; mso-font-signature:3 680460288 22 0 262145 0;} @font-face {font-family:"Cambria Math"; panose-1:2 4 5 3 5 4 6 3 2 4; mso-font-charset:0; mso-generic-font-family:roman; mso-font-pitch:variable; mso-font-signature:-536870145 1107305727 0 0 415 0;} @font-face {font-family:"\@SimSun"; panose-1:2 1 6 0 3 1 1 1 1 1; mso-font-charset:134; mso-generic-font-family:auto; mso-font-pitch:variable; mso-font-signature:3 680460288 22 0 262145 0;} @font-face {font-family:Palatino; panose-1:0 0 0 0 0 0 0 0 0 0; mso-font-alt:"Book Antiqua"; mso-font-charset:0; mso-generic-font-family:roman; mso-font-format:other; mso-font-pitch:variable; mso-font-signature:3 0 0 0 1 0;} /* Style Definitions */ p.MsoNormal, li.MsoNormal, div.MsoNormal {mso-style-unhide:no; mso-style-qformat:yes; mso-style-parent:""; margin:0in; margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:12.0pt; font-family:"Times New Roman","serif"; mso-fareast-font-family:"Times New Roman"; color:black;} h1 {mso-style-unhide:no; mso-style-qformat:yes; mso-style-link:"Heading 1 Char"; mso-margin-top-alt:auto; margin-right:0in; mso-margin-bottom-alt:auto; margin-left:0in; mso-pagination:widow-orphan; mso-outline-level:1; font-size:24.0pt; font-family:"Times New Roman","serif"; mso-fareast-font-family:SimSun; color:black; font-weight:bold;} h2 {mso-style-unhide:no; mso-style-qformat:yes; mso-style-link:"Heading 2 Char"; mso-margin-top-alt:auto; margin-right:0in; mso-margin-bottom-alt:auto; margin-left:0in; mso-pagination:widow-orphan; mso-outline-level:2; font-size:18.0pt; font-family:"Times New Roman","serif"; mso-fareast-font-family:SimSun; color:black; font-weight:bold;} p.MsoBodyText2, li.MsoBodyText2, div.MsoBodyText2 {mso-style-unhide:no; mso-style-link:"Body Text 2 Char"; margin:0in; margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Palatino","serif"; mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"; color:windowtext; mso-fareast-language:EN-US;} a:link, span.MsoHyperlink {mso-style-unhide:no; color:blue; text-decoration:underline; text-underline:single;} a:visited, span.MsoHyperlinkFollowed {mso-style-unhide:no; color:blue; text-decoration:underline; text-underline:single;} strong {mso-style-unhide:no; mso-style-qformat:yes; mso-ansi-font-size:12.0pt; mso-bidi-font-weight:normal;} em {mso-style-unhide:no; mso-style-qformat:yes; mso-bidi-font-style:normal;} p {mso-style-unhide:no; mso-margin-top-alt:auto; margin-right:0in; mso-margin-bottom-alt:auto; margin-left:0in; mso-pagination:widow-orphan; font-size:12.0pt; font-family:"Times New Roman","serif"; mso-fareast-font-family:"Times New Roman"; color:black;} p.MsoListParagraph, li.MsoListParagraph, div.MsoListParagraph {mso-style-priority:34; mso-style-unhide:no; mso-style-qformat:yes; margin-top:0in; margin-right:0in; margin-bottom:0in; margin-left:.5in; margin-bottom:.0001pt; mso-pagination:widow-orphan; mso-hyphenate:none; mso-layout-grid-align:none; punctuation-wrap:simple; text-autospace:none; font-size:12.0pt; mso-bidi-font-size:10.0pt; font-family:"Times New Roman","serif"; mso-fareast-font-family:"Times New Roman"; color:windowtext; mso-fareast-language:EN-US;} span.Heading1Char {mso-style-name:"Heading 1 Char"; mso-style-unhide:no; mso-style-locked:yes; mso-style-link:"Heading 1"; mso-ansi-font-size:14.0pt; mso-bidi-font-size:14.0pt; font-family:"Cambria","serif"; mso-ascii-font-family:Cambria; mso-ascii-theme-font:major-latin; mso-fareast-font-family:"Times New Roman"; mso-fareast-theme-font:major-fareast; mso-hansi-font-family:Cambria; mso-hansi-theme-font:major-latin; mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:major-bidi; color:#365F91; mso-themecolor:accent1; mso-themeshade:191; font-weight:bold;} span.Heading2Char {mso-style-name:"Heading 2 Char"; mso-style-unhide:no; mso-style-locked:yes; mso-style-link:"Heading 2"; mso-ansi-font-size:13.0pt; mso-bidi-font-size:13.0pt; font-family:"Cambria","serif"; mso-ascii-font-family:Cambria; mso-ascii-theme-font:major-latin; mso-fareast-font-family:"Times New Roman"; mso-fareast-theme-font:major-fareast; mso-hansi-font-family:Cambria; mso-hansi-theme-font:major-latin; mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:major-bidi; color:#4F81BD; mso-themecolor:accent1; font-weight:bold;} span.BodyText2Char {mso-style-name:"Body Text 2 Char"; mso-style-unhide:no; mso-style-locked:yes; mso-style-link:"Body Text 2"; font-family:"Palatino","serif"; mso-ascii-font-family:Palatino; mso-hansi-font-family:Palatino; mso-fareast-language:EN-US;} p.Textbody, li.Textbody, div.Textbody {mso-style-name:"Text body"; mso-style-unhide:no; margin-top:0in; margin-right:0in; margin-bottom:6.0pt; margin-left:0in; mso-pagination:widow-orphan; mso-hyphenate:none; mso-layout-grid-align:none; punctuation-wrap:simple; text-autospace:none; font-size:12.0pt; mso-bidi-font-size:10.0pt; font-family:"Times New Roman","serif"; mso-fareast-font-family:"Times New Roman"; color:windowtext; mso-fareast-language:EN-US;} span.SpellE {mso-style-name:""; mso-spl-e:yes;} span.GramE {mso-style-name:""; mso-gram-e:yes;} .MsoChpDefault {mso-style-type:export-only; mso-default-props:yes; font-size:10.0pt; mso-ansi-font-size:10.0pt; mso-bidi-font-size:10.0pt;} @page WordSection1 {size:8.5in 11.0in; margin:1.0in 1.25in 1.0in 1.25in; mso-header-margin:.5in; mso-footer-margin:.5in; mso-paper-source:0;} div.WordSection1 {page:WordSection1;} /* List Definitions */ @list l0 {mso-list-id:819537585; mso-list-type:hybrid; mso-list-template-ids:-94221894 2112399948 67698691 67698693 67698689 67698691 67698693 67698689 67698691 67698693;} @list l0:level1 {mso-level-start-at:484; mso-level-number-format:bullet; mso-level-text:§ð; mso-level-tab-stop:155.25pt; mso-level-number-position:left; margin-left:155.25pt; text-indent:-29.25pt; font-family:Wingdings; mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman";} @list l0:level2 {mso-level-number-format:bullet; mso-level-text:o; mso-level-tab-stop:1.5in; mso-level-number-position:left; margin-left:1.5in; text-indent:-.25in; font-family:"Courier New";} @list l0:level3 {mso-level-tab-stop:1.5in; mso-level-number-position:left; text-indent:-.25in;} @list l0:level4 {mso-level-tab-stop:2.0in; mso-level-number-position:left; text-indent:-.25in;} @list l0:level5 {mso-level-tab-stop:2.5in; mso-level-number-position:left; text-indent:-.25in;} @list l0:level6 {mso-level-tab-stop:3.0in; mso-level-number-position:left; text-indent:-.25in;} @list l0:level7 {mso-level-tab-stop:3.5in; mso-level-number-position:left; text-indent:-.25in;} @list l0:level8 {mso-level-tab-stop:4.0in; mso-level-number-position:left; text-indent:-.25in;} @list l0:level9 {mso-level-tab-stop:4.5in; mso-level-number-position:left; text-indent:-.25in;} @list l1 {mso-list-id:882668811; mso-list-type:hybrid; mso-list-template-ids:282771894 67698689 67698691 67698693 67698689 67698691 67698693 67698689 67698691 67698693;} @list l1:level1 {mso-level-number-format:bullet; mso-level-text:·ð; mso-level-tab-stop:none; mso-level-number-position:left; text-indent:-.25in; font-family:Symbol;} @list l1:level2 {mso-level-number-format:bullet; mso-level-text:o; mso-level-tab-stop:none; mso-level-number-position:left; text-indent:-.25in; font-family:"Courier New";} @list l1:level3 {mso-level-number-format:bullet; mso-level-text:§ð; mso-level-tab-stop:none; mso-level-number-position:left; text-indent:-.25in; font-family:Wingdings;} @list l1:level4 {mso-level-number-format:bullet; mso-level-text:·ð; mso-level-tab-stop:none; mso-level-number-position:left; text-indent:-.25in; font-family:Symbol;} @list l1:level5 {mso-level-number-format:bullet; mso-level-text:o; mso-level-tab-stop:none; mso-level-number-position:left; text-indent:-.25in; font-family:"Courier New";} @list l1:level6 {mso-level-number-format:bullet; mso-level-text:§ð; mso-level-tab-stop:none; mso-level-number-position:left; text-indent:-.25in; font-family:Wingdings;} @list l1:level7 {mso-level-number-format:bullet; mso-level-text:·ð; mso-level-tab-stop:none; mso-level-number-position:left; text-indent:-.25in; font-family:Symbol;} @list l1:level8 {mso-level-number-format:bullet; mso-level-text:o; mso-level-tab-stop:none; mso-level-number-position:left; text-indent:-.25in; font-family:"Courier New";} @list l1:level9 {mso-level-number-format:bullet; mso-level-text:§ð; mso-level-tab-stop:none; mso-level-number-position:left; text-indent:-.25in; font-family:Wingdings;} @list l2 {mso-list-id:1022585845; mso-list-type:hybrid; mso-list-template-ids:-1322483050 67698689 67698691 67698693 67698689 67698691 67698693 67698689 67698691 67698693;} @list l2:level1 {mso-level-number-format:bullet; mso-level-text:·ð; mso-level-tab-stop:none; mso-level-number-position:left; margin-left:1.0in; text-indent:-.25in; font-family:Symbol;} @list l2:level2 {mso-level-number-format:bullet; mso-level-text:o; mso-level-tab-stop:none; mso-level-number-position:left; margin-left:1.5in; text-indent:-.25in; font-family:"Courier New";} @list l2:level3 {mso-level-number-format:bullet; mso-level-text:§ð; mso-level-tab-stop:none; mso-level-number-position:left; margin-left:2.0in; text-indent:-.25in; font-family:Wingdings;} @list l2:level4 {mso-level-number-format:bullet; mso-level-text:·ð; mso-level-tab-stop:none; mso-level-number-position:left; margin-left:2.5in; text-indent:-.25in; font-family:Symbol;} @list l2:level5 {mso-level-number-format:bullet; mso-level-text:o; mso-level-tab-stop:none; mso-level-number-position:left; margin-left:3.0in; text-indent:-.25in; font-family:"Courier New";} @list l2:level6 {mso-level-number-format:bullet; mso-level-text:§ð; mso-level-tab-stop:none; mso-level-number-position:left; margin-left:3.5in; text-indent:-.25in; font-family:Wingdings;} @list l2:level7 {mso-level-number-format:bullet; mso-level-text:·ð; mso-level-tab-stop:none; mso-level-number-position:left; margin-left:4.0in; text-indent:-.25in; font-family:Symbol;} @list l2:level8 {mso-level-number-format:bullet; mso-level-text:o; mso-level-tab-stop:none; mso-level-number-position:left; margin-left:4.5in; text-indent:-.25in; font-family:"Courier New";} @list l2:level9 {mso-level-number-format:bullet; mso-level-text:§ð; mso-level-tab-stop:none; mso-level-number-position:left; margin-left:5.0in; text-indent:-.25in; font-family:Wingdings;} @list l3 {mso-list-id:1419208734; mso-list-type:hybrid; mso-list-template-ids:839967186 67698689 67698691 67698693 67698689 67698691 67698693 67698689 67698691 67698693;} @list l3:level1 {mso-level-number-format:bullet; mso-level-text:·ð; mso-level-tab-stop:none; mso-level-number-position:left; text-indent:-.25in; font-family:Symbol;} @list l3:level2 {mso-level-number-format:bullet; mso-level-text:o; mso-level-tab-stop:none; mso-level-number-position:left; text-indent:-.25in; font-family:"Courier New";} @list l3:level3 {mso-level-number-format:bullet; mso-level-text:§ð; mso-level-tab-stop:none; mso-level-number-position:left; text-indent:-.25in; font-family:Wingdings;} @list l3:level4 {mso-level-number-format:bullet; mso-level-text:·ð; mso-level-tab-stop:none; mso-level-number-position:left; text-indent:-.25in; font-family:Symbol;} @list l3:level5 {mso-level-number-format:bullet; mso-level-text:o; mso-level-tab-stop:none; mso-level-number-position:left; text-indent:-.25in; font-family:"Courier New";} @list l3:level6 {mso-level-number-format:bullet; mso-level-text:§ð; mso-level-tab-stop:none; mso-level-number-position:left; text-indent:-.25in; font-family:Wingdings;} @list l3:level7 {mso-level-number-format:bullet; mso-level-text:·ð; mso-level-tab-stop:none; mso-level-number-position:left; text-indent:-.25in; font-family:Symbol;} @list l3:level8 {mso-level-number-format:bullet; mso-level-text:o; mso-level-tab-stop:none; mso-level-number-position:left; text-indent:-.25in; font-family:"Courier New";} @list l3:level9 {mso-level-number-format:bullet; mso-level-text:§ð; mso-level-tab-stop:none; mso-level-number-position:left; text-indent:-.25in; font-family:Wingdings;} @list l4 {mso-list-id:1796831093; mso-list-type:hybrid; mso-list-template-ids:1171146046 67698703 67698713 67698715 67698703 67698713 67698715 67698703 67698713 67698715;} @list l4:level1 {mso-level-tab-stop:none; mso-level-number-position:left; text-indent:-.25in;} @list l4:level2 {mso-level-number-format:alpha-lower; mso-level-tab-stop:none; mso-level-number-position:left; text-indent:-.25in;} @list l4:level3 {mso-level-number-format:roman-lower; mso-level-tab-stop:none; mso-level-number-position:right; text-indent:-9.0pt;} @list l4:level4 {mso-level-tab-stop:none; mso-level-number-position:left; text-indent:-.25in;} @list l4:level5 {mso-level-number-format:alpha-lower; mso-level-tab-stop:none; mso-level-number-position:left; text-indent:-.25in;} @list l4:level6 {mso-level-number-format:roman-lower; mso-level-tab-stop:none; mso-level-number-position:right; text-indent:-9.0pt;} @list l4:level7 {mso-level-tab-stop:none; mso-level-number-position:left; text-indent:-.25in;} @list l4:level8 {mso-level-number-format:alpha-lower; mso-level-tab-stop:none; mso-level-number-position:left; text-indent:-.25in;} @list l4:level9 {mso-level-number-format:roman-lower; mso-level-tab-stop:none; mso-level-number-position:right; text-indent:-9.0pt;} ol {margin-bottom:0in;} ul {margin-bottom:0in;} --> </style> <!--[if gte mso 10]> <style> /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Table Normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-parent:""; mso-padding-alt:0in 5.4pt 0in 5.4pt; mso-para-margin:0in; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Times New Roman","serif";} </style> <![endif]--> <meta name=AUTHOR content="Luminita Vese"> <meta name=CREATED content="20070817;15435600"> <meta name=CHANGED content="20070817;15460700"> <!--[if gte mso 9]><xml> <u1:DocumentProperties> <u1:Author>Jue Yan</u1:Author> <u1:Template>Normal</u1:Template> <u1:LastAuthor>jyan</u1:LastAuthor> <u1:Revision>300</u1:Revision> <u1:TotalTime>1204</u1:TotalTime> <u1:LastPrinted>2007-08-16T20:51:00Z</u1:LastPrinted> <u1:Created>2003-03-31T01:55:00Z</u1:Created> <u1:LastSaved>2007-08-17T20:11:00Z</u1:LastSaved> <u1:Pages>1</u1:Pages> <u1:Words>287</u1:Words> <u1:Characters>1638</u1:Characters> <u1:Lines>13</u1:Lines> <u1:Paragraphs>3</u1:Paragraphs> <u1:CharactersWithSpaces>1922</u1:CharactersWithSpaces> <u1:Version>11.8132</u1:Version> </u1:DocumentProperties> </xml><![endif]--><!--[if gte mso 9]><xml> <u2:WordDocument> <u2:Zoom>150</u2:Zoom> <u2:ValidateAgainstSchemas/> <u2:SaveIfXMLInvalid>false</u2:SaveIfXMLInvalid> <u2:IgnoreMixedContent>false</u2:IgnoreMixedContent> <u2:AlwaysShowPlaceholderText>false</u2:AlwaysShowPlaceholderText> <u2:BrowserLevel>MicrosoftInternetExplorer4</u2:BrowserLevel> </u2:WordDocument> </xml><![endif]--><!--[if gte mso 9]><xml> <u3:LatentStyles DefLockedState="false" LatentStyleCount="156"> </u3:LatentStyles> </xml><![endif]--><!-- saved from url=(0043)http://www.math.ucla.edu/~lvese/269b.1.03w/ --><!--[if gte mso 9]><xml> <u4:shapedefaults u5:ext="edit" spidmax="4098"/> </xml><![endif]--><!--[if gte mso 9]><xml> <u6:shapelayout u7:ext="edit"> <u6:idmap u7:ext="edit" data="1"/> </u6:shapelayout> </xml><![endif]--><!--[if gte mso 9]><xml> <o:shapedefaults v:ext="edit" spidmax="1026"/> </xml><![endif]--><!--[if gte mso 9]><xml> <o:shapelayout v:ext="edit"> <o:idmap v:ext="edit" data="1"/> </o:shapelayout></xml><![endif]--> </head> <body bgcolor=white lang=EN-US link=blue vlink=blue style='tab-interval:.5in'> <div class=WordSection1> <h1 style='text-indent:.5in'><span class=SpellE><span style='font-size:16.0pt'>Jue</span></span><span style='font-size:16.0pt'> Yan<o:p></o:p></span></h1> <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; text-indent:.5in'><i><span style='font-size:10.0pt'>Assistant Professor<o:p></o:p></span></i></p> <p class=MsoNormal style='text-indent:.5in'><i><span style='font-size:8.0pt'>484 Carver Hall</span></i><span style='font-size:8.0pt'><o:p></o:p></span></p> <p class=MsoNormal style='text-indent:.5in'><i><span style='font-size:8.0pt'>Iowa</span></i><span style='font-size:8.0pt'> <i>State University<span style='mso-tab-count:1'>               </span></i><o:p></o:p></span></p> <p class=MsoNormal style='text-indent:.5in'><i><span style='font-size:8.0pt'>Telephone: (515) 294-8166</span></i><span style='font-size:8.0pt'><o:p></o:p></span></p> <p class=MsoNormal style='text-indent:.5in'><i><span style='font-size:8.0pt'>Email:<u> <a href="mailto:jyan@iastate.edu">jyan@iastate.edu</a><o:p></o:p></u></span></i></p> <p class=MsoNormal><span style='font-size:8.0pt'><o:p>&nbsp;</o:p></span></p> <p class=MsoNormal><span style='font-size:8.0pt'><o:p>&nbsp;</o:p></span></p> <div class=MsoNormal align=center style='text-align:center'><span style='font-size:8.0pt'> <hr size=3 width="100%" align=center> </span></div> <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><a name="_Announcements"></a><b><span style='font-size:14.0pt'><o:p>&nbsp;</o:p></span></b></p> <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><b><span style='font-size:14.0pt'>Courses Teaching Spring 2012<o:p></o:p></span></b></p> <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><u><span style='font-size:11.0pt;color:blue'><a href="481.12s/index.html">Math 481 Numerical methods for differential equations</a><o:p></o:p></span></u></p> <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><u><span style='font-size:11.0pt;color:blue'><o:p><span style='text-decoration:none'>&nbsp;</span></o:p></span></u></p> <div class=MsoNormal align=center style='text-align:center'> <hr size=3 width="100%" align=center> </div> <p class=MsoNormal align=center style='text-align:center'><o:p>&nbsp;</o:p></p> <h2 style='margin-top:0in;margin-right:0in;margin-bottom:5.75pt;margin-left: 0in'><span style='font-size:14.0pt'>Research Interests</span><span style='font-size:12.0pt'>:<a href="cv-2009.pdf"> <span class=GramE>cv</span></a><o:p></o:p></span></h2> <h2 style='margin-top:0in;margin-right:0in;margin-bottom:5.75pt;margin-left: .5in;text-indent:-.25in;mso-list:l3 level1 lfo9'><![if !supportLists]><span style='font-size:10.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; mso-bidi-font-family:Symbol;font-weight:normal'><span style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span style='font-size:10.0pt;font-weight:normal; mso-bidi-font-weight:bold'>Numerical methods for evolution partial differential equations: discontinuous <span class=SpellE>Galerkin</span> finite element method, ENO/WENO finite difference method.</span><span style='font-size:10.0pt; font-weight:normal'><o:p></o:p></span></h2> <h2 style='margin-top:0in;margin-right:0in;margin-bottom:5.75pt;margin-left: .5in;text-indent:-.25in;mso-list:l3 level1 lfo9'><![if !supportLists]><span style='font-size:10.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; mso-bidi-font-family:Symbol;font-weight:normal'><span style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span style='font-size:10.0pt;font-weight:normal; mso-bidi-font-weight:bold'>Nonlinear Phenomena: dispersive wave equations, Hamilton-Jacobi equations. </span><span style='font-size:10.0pt;font-weight: normal'><o:p></o:p></span></h2> <h2 style='margin-top:0in;margin-right:0in;margin-bottom:5.75pt;margin-left: .5in;text-indent:-.25in;mso-list:l3 level1 lfo9'><![if !supportLists]><span style='font-size:10.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; mso-bidi-font-family:Symbol;font-weight:normal'><span style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span style='font-size:10.0pt;font-weight:normal; mso-bidi-font-weight:bold'>Applications: level set methods for interface capturing, dynamics of plasma-sheath transition, electromagnetic phenomena in various media.</span><span style='font-size:10.0pt;font-weight:normal'><o:p></o:p></span></h2> <h2 style='margin-top:0in;margin-right:0in;margin-bottom:5.75pt;margin-left: 0in'><span style='font-size:10.0pt'><o:p>&nbsp;</o:p></span></h2> <h2 style='margin-top:0in;margin-right:0in;margin-bottom:5.75pt;margin-left: 0in'><span style='font-size:14.0pt'>Grants: <o:p></o:p></span></h2> <p class=Textbody style='margin-top:0in;margin-right:0in;margin-bottom:0in; margin-left:1.0in;margin-bottom:.0001pt;text-indent:-.25in;mso-list:l2 level1 lfo4; tab-stops:.5in 39.0pt'><![if !supportLists]><span style='font-size:10.0pt; font-family:Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span style='font-size:10.0pt'>NSF Grant DMS-0915247, <b style='mso-bidi-font-weight:normal'>single PI,</b> <i style='mso-bidi-font-style:normal'> Local and  Direct discontinuous <span class=SpellE>Galerkin</span> Methods: New Algorithms and Applications</i>, $99,235.00, 2009-2012.<o:p></o:p></span></p> <p class=Textbody style='margin-top:0in;margin-right:0in;margin-bottom:0in; margin-left:1.0in;margin-bottom:.0001pt;tab-stops:.5in 39.0pt'><span style='font-size:10.0pt'><o:p>&nbsp;</o:p></span></p> <p class=Textbody style='margin-top:0in;margin-right:0in;margin-bottom:0in; margin-left:1.0in;margin-bottom:.0001pt;text-indent:-.25in;mso-list:l2 level1 lfo4; tab-stops:.5in 39.0pt'><![if !supportLists]><span style='font-size:10.0pt; font-family:Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span style='font-size:10.0pt'>NSF Grant DMS-1217158, <b style='mso-bidi-font-weight:normal'>single PI</b>, <i style='mso-bidi-font-style:normal'>Maximum-principle-satisfying or positivity preserving discontinuous <span class=SpellE>Galerkin</span> methods for convection diffusion problems and Hamilton-Jacobi equations, </i>$149,469, 2012-2015. (pending)<o:p></o:p></span></p> <p class=Textbody style='margin-bottom:0in;margin-bottom:.0001pt;tab-stops: .5in 39.0pt'><span style='font-size:10.0pt'><o:p>&nbsp;</o:p></span></p> <h2 style='margin-top:0in;margin-right:0in;margin-bottom:5.75pt;margin-left: 0in'><span style='font-size:14.0pt'>Publications:<o:p></o:p></span></h2> <h2 style='margin-top:0in;margin-right:0in;margin-bottom:5.75pt;margin-left: 0in'><span style='font-size:10.0pt'><o:p>&nbsp;</o:p></span></h2> <p class=MsoBodyText2 style='margin-left:.5in;text-indent:-.25in;mso-list:l4 level1 lfo6; mso-hyphenate:none;tab-stops:.25in 39.0pt;mso-layout-grid-align:none; punctuation-wrap:simple;text-autospace:none;vertical-align:baseline'><![if !supportLists]><i style='mso-bidi-font-style:normal'><span style='font-size:11.0pt;font-family: "Times New Roman","serif"'><span style='mso-list:Ignore'>1.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span></i><![endif]><b style='mso-bidi-font-weight:normal'><span style='font-size:11.0pt'><span style='mso-tab-count:1'> </span></span></b><span style='font-size:11.0pt; font-family:"Times New Roman","serif"'>J. Yan, <i style='mso-bidi-font-style: normal'><a href="papers/yan-NonSymDG2012.pdf.pdf">A new <span class=SpellE>nonsymmetric</span> discontinuous <span class=SpellE>Galerkin</span> method for time dependent convection diffusion equations</a></i>, Journal of Scientific Computing.<i style='mso-bidi-font-style:normal'><o:p></o:p></i></span></p> <p class=MsoBodyText2 style='margin-left:.5in;mso-hyphenate:none;tab-stops: .25in 39.0pt;mso-layout-grid-align:none;punctuation-wrap:simple;text-autospace: none;vertical-align:baseline'><i style='mso-bidi-font-style:normal'><span style='font-size:11.0pt;font-family:"Times New Roman","serif"'><o:p>&nbsp;</o:p></span></i></p> <p class=MsoBodyText2 style='margin-left:.5in;text-indent:-.25in;mso-list:l4 level1 lfo6; mso-hyphenate:none;tab-stops:.25in 39.0pt;mso-layout-grid-align:none; punctuation-wrap:simple;text-autospace:none;vertical-align:baseline'><![if !supportLists]><i style='mso-bidi-font-style:normal'><span style='font-size:11.0pt;font-family: "Times New Roman","serif"'><span style='mso-list:Ignore'>2.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span></i><![endif]><span style='font-size:11.0pt;font-family:"Times New Roman","serif"'>C. <span class=SpellE>Vidden</span> and J. Yan,<i style='mso-bidi-font-style:normal'> Direct discontinuous <span class=SpellE>Galerkin</span> method with symmetric structure for nonlinear diffusion problems</i>, <em><span style='font-style: normal'>SIAM Journal on Numerical Analysis.</span></em><span style='color:black'> </span><i style='mso-bidi-font-style:normal'><o:p></o:p></i></span></p> <p class=MsoListParagraph><span style='font-size:11.0pt'><o:p>&nbsp;</o:p></span></p> <p class=MsoBodyText2 style='margin-left:.5in;text-indent:-.25in;mso-list:l4 level1 lfo6; mso-hyphenate:none;tab-stops:.25in 39.0pt;mso-layout-grid-align:none; punctuation-wrap:simple;text-autospace:none;vertical-align:baseline'><![if !supportLists]><i style='mso-bidi-font-style:normal'><span style='font-size:11.0pt;font-family: "Times New Roman","serif"'><span style='mso-list:Ignore'>3.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span></i><![endif]><span style='font-size:11.0pt;font-family:"Times New Roman","serif"'>M. Zhang and J. Yan, <i style='mso-bidi-font-style:normal'><a href="papers/yan-FourierDDG2011.pdf">Fourier type error analysis of the Direct discontinuous <span class=SpellE>Galerkin</span> method and its variations for diffusion problems</a>,</i> Journal of Scientific Computing, online Nov 2011, DOI<span class=GramE>:10.1007</span>/s10915-011-9564-5<i style='mso-bidi-font-style: normal'>.<o:p></o:p></i></span></p> <p class=MsoListParagraph><span style='font-size:11.0pt'><o:p>&nbsp;</o:p></span></p> <p class=MsoBodyText2 style='margin-left:.5in;text-indent:-.25in;mso-list:l4 level1 lfo6; mso-hyphenate:none;tab-stops:.25in 39.0pt;mso-layout-grid-align:none; punctuation-wrap:simple;text-autospace:none;vertical-align:baseline'><![if !supportLists]><em><span style='font-family:"Times New Roman","serif"'><span style='mso-list:Ignore'>4.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span></em><![endif]><span style='font-size:11.0pt;font-family:"Times New Roman","serif"'>J. Yan and S. <span class=SpellE>Osher</span>, <i style='mso-bidi-font-style:normal'><a href="papers/yan-LDG-HJ2009.pdf">A new discontinuous <span class=SpellE>Galerkin</span> method for Hamilton-Jacobi Equations</a></i>, Journal of Computational Physics, Volume 230, Issue 1, (2011), 232-244.</span><em><span style='font-family:"Times New Roman","serif"'><o:p></o:p></span></em></p> <p class=MsoBodyText2 style='margin-left:.5in;mso-hyphenate:none;tab-stops: .25in 39.0pt;mso-layout-grid-align:none;punctuation-wrap:simple;text-autospace: none;vertical-align:baseline'><em><span style='font-size:11.0pt;font-family: "Times New Roman","serif"'><o:p>&nbsp;</o:p></span></em></p> <p class=MsoBodyText2 style='margin-left:.5in;text-indent:-.25in;mso-list:l4 level1 lfo6; mso-hyphenate:none;tab-stops:.25in 39.0pt;mso-layout-grid-align:none; punctuation-wrap:simple;text-autospace:none;vertical-align:baseline'><![if !supportLists]><span style='mso-fareast-font-family:Palatino;mso-bidi-font-family:Palatino'><span style='mso-list:Ignore'>5.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span style='font-size:11.0pt;font-family:"Times New Roman","serif"'>H. Liu and J. Yan, <i style='mso-bidi-font-style:normal'><a href="papers/yan-DDGIC2009.pdf">The direct discontinuous <span class=SpellE>Galerkin</span> (DDG) methods for diffusion with interface corrections</a></i>, Communications in Computational Physics, </span><span style='font-size:11.0pt;font-family: "Times New Roman","serif";mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font: minor-fareast;mso-fareast-language:ZH-CN'>Vol. <b>8</b>, No. 3(2010), 541-564</span><span style='font-size:11.0pt;font-family:"Times New Roman","serif"'>.</span></p> <p class=MsoBodyText2 style='margin-left:.5in;mso-hyphenate:none;tab-stops: .25in 39.0pt;mso-layout-grid-align:none;punctuation-wrap:simple;text-autospace: none;vertical-align:baseline'><i style='mso-bidi-font-style:normal'><span style='font-size:11.0pt;font-family:"Times New Roman","serif"'><o:p>&nbsp;</o:p></span></i></p> <p class=MsoBodyText2 style='margin-left:.5in;text-indent:-.25in;mso-list:l4 level1 lfo6; mso-hyphenate:none;tab-stops:.25in 39.0pt;mso-layout-grid-align:none; punctuation-wrap:simple;text-autospace:none;vertical-align:baseline'><![if !supportLists]><i style='mso-bidi-font-style:normal'><span style='font-size:11.0pt;font-family: "Times New Roman","serif"'><span style='mso-list:Ignore'>6.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span></i><![endif]><span style='font-size:11.0pt;font-family:"Times New Roman","serif"'>H. Liu and J. Yan, <i style='mso-bidi-font-style:normal'><a href="papers/yan-DDG2007.pdf">The direct discontinuous <span class=SpellE>Galerkin</span> (DDG) methods for diffusion problems</a></i><b style='mso-bidi-font-weight:normal'>, </b>SIAM Journal on Numerical Analysis, 47, No 1(2009), 675--698.<i style='mso-bidi-font-style: normal'><o:p></o:p></i></span></p> <p class=MsoBodyText2 style='margin-left:.5in;mso-hyphenate:none;tab-stops: .25in 39.0pt;mso-layout-grid-align:none;punctuation-wrap:simple;text-autospace: none;vertical-align:baseline'><i style='mso-bidi-font-style:normal'><span style='font-size:11.0pt;font-family:"Times New Roman","serif"'><o:p>&nbsp;</o:p></span></i></p> <p class=MsoBodyText2 style='margin-left:.5in;text-indent:-.25in;mso-list:l4 level1 lfo6; mso-hyphenate:none;tab-stops:.25in 39.0pt;mso-layout-grid-align:none; punctuation-wrap:simple;text-autospace:none;vertical-align:baseline'><![if !supportLists]><i style='mso-bidi-font-style:normal'><span style='font-size:11.0pt;font-family: "Times New Roman","serif"'><span style='mso-list:Ignore'>7.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span></i><![endif]><span style='font-size:11.0pt;font-family:"Times New Roman","serif"'>H. Liu and J. Yan, <i style='mso-bidi-font-style:normal'><a href="papers/yan-LDG-kdvBoundary2006.pdf">A local discontinuous <span class=SpellE>Galerkin</span> method for the <span class=SpellE>KdV</span> equation with boundary <span class=GramE>effect</span></a></i>, Journal of Computational Physics<i>,</i> 215, No 1(2006), 197-218.<i style='mso-bidi-font-style: normal'><o:p></o:p></i></span></p> <p class=MsoBodyText2 style='margin-left:.5in;mso-hyphenate:none;tab-stops: .25in 39.0pt;mso-layout-grid-align:none;punctuation-wrap:simple;text-autospace: none;vertical-align:baseline'><i style='mso-bidi-font-style:normal'><span style='font-size:11.0pt;font-family:"Times New Roman","serif"'><o:p>&nbsp;</o:p></span></i></p> <p class=MsoBodyText2 style='margin-left:.5in;text-indent:-.25in;mso-list:l4 level1 lfo6; mso-hyphenate:none;tab-stops:.25in 39.0pt;mso-layout-grid-align:none; punctuation-wrap:simple;text-autospace:none;vertical-align:baseline'><![if !supportLists]><i style='mso-bidi-font-style:normal'><span style='font-size:11.0pt;font-family: "Times New Roman","serif"'><span style='mso-list:Ignore'>8.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span></i><![endif]><span style='font-size:11.0pt;font-family:"Times New Roman","serif"'>D. Levy, C.-W. <span class=SpellE>Shu</span> and J. Yan, <i style='mso-bidi-font-style:normal'><a href="papers/yan-LDG-dispersive2004.pdf">Local discontinuous <span class=SpellE>Galerkin</span> methods for nonlinear<span style='font-style:normal'> </span>dispersive equations</a>, </i>Journal of Computational Physics, 196, No 2(2004), 751-772.<i style='mso-bidi-font-style:normal'><o:p></o:p></i></span></p> <p class=MsoBodyText2 style='margin-left:.5in;mso-hyphenate:none;tab-stops: .25in 39.0pt;mso-layout-grid-align:none;punctuation-wrap:simple;text-autospace: none;vertical-align:baseline'><i style='mso-bidi-font-style:normal'><span style='font-size:11.0pt;font-family:"Times New Roman","serif"'><o:p>&nbsp;</o:p></span></i></p> <p class=MsoBodyText2 style='margin-left:.5in;text-indent:-.25in;mso-list:l4 level1 lfo6; mso-hyphenate:none;tab-stops:.25in 39.0pt;mso-layout-grid-align:none; punctuation-wrap:simple;text-autospace:none;vertical-align:baseline'><![if !supportLists]><i style='mso-bidi-font-style:normal'><span style='font-size:11.0pt;font-family: "Times New Roman","serif"'><span style='mso-list:Ignore'>9.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span></i><![endif]><span style='font-size:11.0pt;font-family:"Times New Roman","serif"'>J. Yan and C.-W. <span class=SpellE>Shu</span>, <i style='mso-bidi-font-style:normal'><a href="papers/yan-LDG-highPDE.pdf">Local discontinuous <span class=SpellE>Galerkin</span> methods for partial differential equations with higher order derivatives</a></i>, Journal of Scientific Computing, <i style='mso-bidi-font-style:normal'>1</i>7, No 1(2002), 27-47.<i style='mso-bidi-font-style:normal'><o:p></o:p></i></span></p> <p class=MsoBodyText2 style='margin-left:.5in;mso-hyphenate:none;tab-stops: .25in 39.0pt;mso-layout-grid-align:none;punctuation-wrap:simple;text-autospace: none;vertical-align:baseline'><i style='mso-bidi-font-style:normal'><span style='font-size:11.0pt;font-family:"Times New Roman","serif"'><o:p>&nbsp;</o:p></span></i></p> <p class=MsoBodyText2 style='margin-left:.5in;text-indent:-.25in;mso-list:l4 level1 lfo6; mso-hyphenate:none;tab-stops:.25in 39.0pt;mso-layout-grid-align:none; punctuation-wrap:simple;text-autospace:none;vertical-align:baseline'><![if !supportLists]><i style='mso-bidi-font-style:normal'><span style='font-size:11.0pt;font-family: "Times New Roman","serif"'><span style='mso-list:Ignore'>10.<span style='font:7.0pt "Times New Roman"'>&nbsp; </span></span></span></i><![endif]><span style='font-size:11.0pt;font-family:"Times New Roman","serif"'>J. Yan and C.-W. <span class=SpellE>Shu</span>, <i style='mso-bidi-font-style:normal'><a href="papers/yan-LDG-kdv2002.pdf">A local discontinuous <span class=SpellE>Galerkin</span> method for <span class=SpellE>KdV</span>-type equations</a></i>, SIAM Journal on Numerical Analysis, 40, No 2(2002), 769 791.<i style='mso-bidi-font-style: normal'><o:p></o:p></i></span></p> <p class=MsoBodyText2 style='margin-left:.5in;mso-hyphenate:none;tab-stops: .25in 39.0pt;mso-layout-grid-align:none;punctuation-wrap:simple;text-autospace: none;vertical-align:baseline'><span style='font-size:8.0pt'><o:p>&nbsp;</o:p></span></p> <p class=MsoNormal><b style='mso-bidi-font-weight:normal'>Non-refereed Papers/Reports:<em><span style='font-style:normal'><o:p></o:p></span></em></b></p> <p class=MsoListParagraph style='text-indent:-.25in;mso-list:l1 level1 lfo8'><![if !supportLists]><em><span style='font-size:11.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; mso-bidi-font-family:Symbol;font-style:normal'><span style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span></em><![endif]><span style='font-size:11.0pt'>J. Yan and S. <span class=SpellE>Osher</span>, <em>Discontinuous <span class=SpellE>Galerkin</span> level set method for interface capturing<b style='mso-bidi-font-weight:normal'>,</b> UCLA report, 2005.</em><em><b style='mso-bidi-font-weight:normal'><span style='font-style:normal'><o:p></o:p></span></b></em></span></p> <h2 style='margin-top:0in;margin-right:0in;margin-bottom:5.75pt;margin-left: 0in'><span style='font-size:12.0pt'><o:p>&nbsp;</o:p></span></h2> <h2 align=center style='margin-top:0in;margin-right:0in;margin-bottom:5.75pt; margin-left:0in;text-align:center'> <hr size=3 width="100%" align=center> </h2> <h2 style='margin-top:0in;margin-right:0in;margin-bottom:5.75pt;margin-left: 0in'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </h2> <p class=MsoNormal align=center style='text-align:center'><o:p>&nbsp;</o:p></p> <p class=MsoNormal align=right style='mso-margin-top-alt:auto;mso-margin-bottom-alt: auto;text-align:right'>Last modified: Friday, August 17, 2007 </p> </div> </body> </html>