<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 12"> <meta name=Originator content="Microsoft Word 12"> <link rel=File-List href="publication.files/filelist.xml"> <link rel=Edit-Time-Data href="publication.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>Self-study Report for Academic Fields</title> <link rel=themeData href="publication.files/themedata.thmx"> <link rel=colorSchemeMapping href="publication.files/colorschememapping.xml"> <!--[if gte mso 9]><xml> <w:WordDocument> <w:Zoom>130</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:UseFELayout/> </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="true" DefSemiHidden="true" DefQFormat="false" DefPriority="99" LatentStyleCount="267"> <w:LsdException Locked="false" Priority="0" SemiHidden="false" UnhideWhenUsed="false" QFormat="true" Name="Normal"/> <w:LsdException Locked="false" Priority="9" SemiHidden="false" UnhideWhenUsed="false" QFormat="true" Name="heading 1"/> <w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 2"/> <w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 3"/> <w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 4"/> <w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 5"/> <w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 6"/> <w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 7"/> <w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 8"/> <w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 9"/> <w:LsdException Locked="false" Priority="39" Name="toc 1"/> <w:LsdException Locked="false" Priority="39" Name="toc 2"/> <w:LsdException Locked="false" Priority="39" Name="toc 3"/> <w:LsdException Locked="false" Priority="39" Name="toc 4"/> <w:LsdException Locked="false" Priority="39" Name="toc 5"/> <w:LsdException Locked="false" Priority="39" Name="toc 6"/> <w:LsdException Locked="false" Priority="39" Name="toc 7"/> <w:LsdException Locked="false" Priority="39" Name="toc 8"/> <w:LsdException Locked="false" Priority="39" Name="toc 9"/> <w:LsdException Locked="false" Priority="35" QFormat="true" Name="caption"/> <w:LsdException Locked="false" Priority="10" SemiHidden="false" UnhideWhenUsed="false" QFormat="true" Name="Title"/> <w:LsdException Locked="false" Priority="1" Name="Default Paragraph Font"/> <w:LsdException Locked="false" Priority="11" SemiHidden="false" UnhideWhenUsed="false" QFormat="true" Name="Subtitle"/> <w:LsdException Locked="false" Priority="22" SemiHidden="false" UnhideWhenUsed="false" QFormat="true" Name="Strong"/> <w:LsdException Locked="false" Priority="20" SemiHidden="false" UnhideWhenUsed="false" QFormat="true" Name="Emphasis"/> <w:LsdException Locked="false" Priority="59" SemiHidden="false" UnhideWhenUsed="false" Name="Table Grid"/> <w:LsdException Locked="false" UnhideWhenUsed="false" Name="Placeholder Text"/> <w:LsdException Locked="false" Priority="1" SemiHidden="false" UnhideWhenUsed="false" QFormat="true" Name="No Spacing"/> <w:LsdException Locked="false" Priority="60" SemiHidden="false" UnhideWhenUsed="false" Name="Light Shading"/> <w:LsdException Locked="false" Priority="61" SemiHidden="false" UnhideWhenUsed="false" Name="Light List"/> <w:LsdException Locked="false" Priority="62" SemiHidden="false" UnhideWhenUsed="false" Name="Light Grid"/> <w:LsdException Locked="false" Priority="63" SemiHidden="false" UnhideWhenUsed="false" Name="Medium Shading 1"/> <w:LsdException Locked="false" Priority="64" SemiHidden="false" UnhideWhenUsed="false" Name="Medium Shading 2"/> <w:LsdException Locked="false" Priority="65" SemiHidden="false" UnhideWhenUsed="false" Name="Medium List 1"/> <w:LsdException Locked="false" Priority="66" SemiHidden="false" UnhideWhenUsed="false" Name="Medium List 2"/> <w:LsdException Locked="false" Priority="67" SemiHidden="false" UnhideWhenUsed="false" Name="Medium Grid 1"/> <w:LsdException Locked="false" Priority="68" SemiHidden="false" UnhideWhenUsed="false" Name="Medium Grid 2"/> <w:LsdException Locked="false" Priority="69" SemiHidden="false" UnhideWhenUsed="false" Name="Medium Grid 3"/> <w:LsdException Locked="false" Priority="70" SemiHidden="false" UnhideWhenUsed="false" Name="Dark List"/> <w:LsdException Locked="false" Priority="71" SemiHidden="false" UnhideWhenUsed="false" Name="Colorful Shading"/> <w:LsdException Locked="false" Priority="72" SemiHidden="false" UnhideWhenUsed="false" Name="Colorful List"/> <w:LsdException Locked="false" Priority="73" SemiHidden="false" UnhideWhenUsed="false" Name="Colorful Grid"/> <w:LsdException Locked="false" Priority="60" SemiHidden="false" UnhideWhenUsed="false" Name="Light Shading Accent 1"/> <w:LsdException Locked="false" Priority="61" SemiHidden="false" UnhideWhenUsed="false" Name="Light List Accent 1"/> <w:LsdException Locked="false" Priority="62" SemiHidden="false" UnhideWhenUsed="false" Name="Light Grid Accent 1"/> <w:LsdException Locked="false" Priority="63" SemiHidden="false" UnhideWhenUsed="false" Name="Medium Shading 1 Accent 1"/> <w:LsdException Locked="false" Priority="64" SemiHidden="false" UnhideWhenUsed="false" Name="Medium Shading 2 Accent 1"/> <w:LsdException Locked="false" Priority="65" SemiHidden="false" UnhideWhenUsed="false" Name="Medium List 1 Accent 1"/> <w:LsdException Locked="false" UnhideWhenUsed="false" Name="Revision"/> <w:LsdException Locked="false" Priority="34" SemiHidden="false" UnhideWhenUsed="false" QFormat="true" Name="List Paragraph"/> <w:LsdException Locked="false" Priority="29" SemiHidden="false" UnhideWhenUsed="false" QFormat="true" Name="Quote"/> <w:LsdException Locked="false" Priority="30" SemiHidden="false" UnhideWhenUsed="false" QFormat="true" Name="Intense Quote"/> <w:LsdException Locked="false" Priority="66" SemiHidden="false" UnhideWhenUsed="false" Name="Medium List 2 Accent 1"/> <w:LsdException Locked="false" Priority="67" SemiHidden="false" UnhideWhenUsed="false" Name="Medium Grid 1 Accent 1"/> <w:LsdException Locked="false" Priority="68" SemiHidden="false" UnhideWhenUsed="false" Name="Medium Grid 2 Accent 1"/> <w:LsdException Locked="false" Priority="69" SemiHidden="false" UnhideWhenUsed="false" Name="Medium Grid 3 Accent 1"/> <w:LsdException Locked="false" Priority="70" SemiHidden="false" UnhideWhenUsed="false" Name="Dark List Accent 1"/> <w:LsdException Locked="false" Priority="71" SemiHidden="false" UnhideWhenUsed="false" Name="Colorful Shading Accent 1"/> <w:LsdException Locked="false" Priority="72" SemiHidden="false" UnhideWhenUsed="false" Name="Colorful List Accent 1"/> <w:LsdException Locked="false" Priority="73" SemiHidden="false" UnhideWhenUsed="false" Name="Colorful Grid Accent 1"/> <w:LsdException Locked="false" Priority="60" SemiHidden="false" UnhideWhenUsed="false" Name="Light Shading Accent 2"/> <w:LsdException Locked="false" Priority="61" SemiHidden="false" UnhideWhenUsed="false" Name="Light List Accent 2"/> <w:LsdException Locked="false" Priority="62" SemiHidden="false" UnhideWhenUsed="false" Name="Light Grid Accent 2"/> <w:LsdException Locked="false" Priority="63" SemiHidden="false" UnhideWhenUsed="false" Name="Medium Shading 1 Accent 2"/> <w:LsdException Locked="false" Priority="64" SemiHidden="false" UnhideWhenUsed="false" Name="Medium Shading 2 Accent 2"/> <w:LsdException Locked="false" Priority="65" SemiHidden="false" UnhideWhenUsed="false" Name="Medium List 1 Accent 2"/> <w:LsdException Locked="false" Priority="66" SemiHidden="false" UnhideWhenUsed="false" Name="Medium List 2 Accent 2"/> <w:LsdException Locked="false" Priority="67" SemiHidden="false" UnhideWhenUsed="false" Name="Medium Grid 1 Accent 2"/> <w:LsdException Locked="false" Priority="68" SemiHidden="false" UnhideWhenUsed="false" Name="Medium Grid 2 Accent 2"/> <w:LsdException Locked="false" Priority="69" SemiHidden="false" UnhideWhenUsed="false" Name="Medium Grid 3 Accent 2"/> <w:LsdException Locked="false" Priority="70" SemiHidden="false" UnhideWhenUsed="false" Name="Dark List Accent 2"/> <w:LsdException Locked="false" Priority="71" SemiHidden="false" UnhideWhenUsed="false" Name="Colorful Shading Accent 2"/> <w:LsdException Locked="false" Priority="72" SemiHidden="false" UnhideWhenUsed="false" Name="Colorful List Accent 2"/> <w:LsdException Locked="false" Priority="73" SemiHidden="false" UnhideWhenUsed="false" Name="Colorful Grid Accent 2"/> <w:LsdException Locked="false" Priority="60" SemiHidden="false" UnhideWhenUsed="false" Name="Light Shading Accent 3"/> <w:LsdException Locked="false" Priority="61" SemiHidden="false" UnhideWhenUsed="false" Name="Light List Accent 3"/> <w:LsdException Locked="false" Priority="62" SemiHidden="false" UnhideWhenUsed="false" Name="Light Grid Accent 3"/> <w:LsdException Locked="false" Priority="63" SemiHidden="false" UnhideWhenUsed="false" Name="Medium Shading 1 Accent 3"/> <w:LsdException Locked="false" Priority="64" SemiHidden="false" UnhideWhenUsed="false" Name="Medium Shading 2 Accent 3"/> <w:LsdException Locked="false" Priority="65" SemiHidden="false" UnhideWhenUsed="false" Name="Medium List 1 Accent 3"/> <w:LsdException Locked="false" Priority="66" SemiHidden="false" UnhideWhenUsed="false" Name="Medium List 2 Accent 3"/> <w:LsdException Locked="false" Priority="67" SemiHidden="false" UnhideWhenUsed="false" Name="Medium Grid 1 Accent 3"/> <w:LsdException Locked="false" Priority="68" SemiHidden="false" UnhideWhenUsed="false" Name="Medium Grid 2 Accent 3"/> <w:LsdException Locked="false" Priority="69" SemiHidden="false" UnhideWhenUsed="false" Name="Medium Grid 3 Accent 3"/> <w:LsdException Locked="false" Priority="70" SemiHidden="false" UnhideWhenUsed="false" Name="Dark List Accent 3"/> <w:LsdException Locked="false" Priority="71" SemiHidden="false" UnhideWhenUsed="false" Name="Colorful Shading Accent 3"/> <w:LsdException Locked="false" Priority="72" SemiHidden="false" UnhideWhenUsed="false" Name="Colorful List Accent 3"/> <w:LsdException Locked="false" Priority="73" SemiHidden="false" UnhideWhenUsed="false" Name="Colorful Grid Accent 3"/> <w:LsdException Locked="false" Priority="60" SemiHidden="false" UnhideWhenUsed="false" Name="Light Shading Accent 4"/> <w:LsdException Locked="false" Priority="61" SemiHidden="false" UnhideWhenUsed="false" Name="Light List Accent 4"/> <w:LsdException Locked="false" Priority="62" SemiHidden="false" UnhideWhenUsed="false" Name="Light Grid Accent 4"/> <w:LsdException Locked="false" Priority="63" SemiHidden="false" UnhideWhenUsed="false" Name="Medium Shading 1 Accent 4"/> <w:LsdException Locked="false" Priority="64" SemiHidden="false" UnhideWhenUsed="false" Name="Medium Shading 2 Accent 4"/> <w:LsdException Locked="false" Priority="65" SemiHidden="false" UnhideWhenUsed="false" Name="Medium List 1 Accent 4"/> <w:LsdException Locked="false" Priority="66" SemiHidden="false" UnhideWhenUsed="false" Name="Medium List 2 Accent 4"/> <w:LsdException Locked="false" Priority="67" SemiHidden="false" UnhideWhenUsed="false" Name="Medium Grid 1 Accent 4"/> <w:LsdException Locked="false" Priority="68" SemiHidden="false" UnhideWhenUsed="false" Name="Medium Grid 2 Accent 4"/> <w:LsdException Locked="false" Priority="69" SemiHidden="false" UnhideWhenUsed="false" Name="Medium Grid 3 Accent 4"/> <w:LsdException Locked="false" Priority="70" SemiHidden="false" UnhideWhenUsed="false" Name="Dark List Accent 4"/> <w:LsdException Locked="false" Priority="71" SemiHidden="false" UnhideWhenUsed="false" Name="Colorful Shading Accent 4"/> <w:LsdException Locked="false" Priority="72" SemiHidden="false" UnhideWhenUsed="false" Name="Colorful List Accent 4"/> <w:LsdException Locked="false" Priority="73" SemiHidden="false" UnhideWhenUsed="false" Name="Colorful Grid Accent 4"/> <w:LsdException Locked="false" Priority="60" SemiHidden="false" UnhideWhenUsed="false" Name="Light Shading Accent 5"/> <w:LsdException Locked="false" Priority="61" SemiHidden="false" UnhideWhenUsed="false" Name="Light List Accent 5"/> <w:LsdException Locked="false" Priority="62" SemiHidden="false" UnhideWhenUsed="false" Name="Light Grid Accent 5"/> <w:LsdException Locked="false" Priority="63" SemiHidden="false" UnhideWhenUsed="false" Name="Medium Shading 1 Accent 5"/> <w:LsdException Locked="false" Priority="64" SemiHidden="false" UnhideWhenUsed="false" Name="Medium Shading 2 Accent 5"/> <w:LsdException Locked="false" Priority="65" SemiHidden="false" UnhideWhenUsed="false" Name="Medium List 1 Accent 5"/> <w:LsdException Locked="false" Priority="66" SemiHidden="false" UnhideWhenUsed="false" Name="Medium List 2 Accent 5"/> <w:LsdException Locked="false" Priority="67" SemiHidden="false" UnhideWhenUsed="false" Name="Medium Grid 1 Accent 5"/> <w:LsdException Locked="false" Priority="68" SemiHidden="false" UnhideWhenUsed="false" Name="Medium Grid 2 Accent 5"/> <w:LsdException Locked="false" Priority="69" SemiHidden="false" UnhideWhenUsed="false" Name="Medium Grid 3 Accent 5"/> <w:LsdException Locked="false" Priority="70" SemiHidden="false" UnhideWhenUsed="false" Name="Dark List Accent 5"/> <w:LsdException Locked="false" Priority="71" SemiHidden="false" UnhideWhenUsed="false" Name="Colorful Shading Accent 5"/> <w:LsdException Locked="false" Priority="72" SemiHidden="false" UnhideWhenUsed="false" Name="Colorful List Accent 5"/> <w:LsdException Locked="false" Priority="73" SemiHidden="false" UnhideWhenUsed="false" Name="Colorful Grid Accent 5"/> <w:LsdException Locked="false" Priority="60" SemiHidden="false" UnhideWhenUsed="false" Name="Light Shading Accent 6"/> <w:LsdException Locked="false" Priority="61" SemiHidden="false" UnhideWhenUsed="false" Name="Light List Accent 6"/> <w:LsdException Locked="false" Priority="62" SemiHidden="false" UnhideWhenUsed="false" Name="Light Grid Accent 6"/> <w:LsdException Locked="false" Priority="63" SemiHidden="false" UnhideWhenUsed="false" Name="Medium Shading 1 Accent 6"/> <w:LsdException Locked="false" Priority="64" SemiHidden="false" UnhideWhenUsed="false" Name="Medium Shading 2 Accent 6"/> <w:LsdException Locked="false" Priority="65" SemiHidden="false" UnhideWhenUsed="false" Name="Medium List 1 Accent 6"/> <w:LsdException Locked="false" Priority="66" SemiHidden="false" UnhideWhenUsed="false" Name="Medium List 2 Accent 6"/> <w:LsdException Locked="false" Priority="67" SemiHidden="false" UnhideWhenUsed="false" Name="Medium Grid 1 Accent 6"/> <w:LsdException Locked="false" Priority="68" SemiHidden="false" UnhideWhenUsed="false" Name="Medium Grid 2 Accent 6"/> <w:LsdException Locked="false" Priority="69" SemiHidden="false" UnhideWhenUsed="false" Name="Medium Grid 3 Accent 6"/> <w:LsdException Locked="false" Priority="70" SemiHidden="false" UnhideWhenUsed="false" Name="Dark List Accent 6"/> <w:LsdException Locked="false" Priority="71" SemiHidden="false" UnhideWhenUsed="false" Name="Colorful Shading Accent 6"/> <w:LsdException Locked="false" Priority="72" SemiHidden="false" UnhideWhenUsed="false" Name="Colorful List Accent 6"/> <w:LsdException Locked="false" Priority="73" SemiHidden="false" UnhideWhenUsed="false" Name="Colorful Grid Accent 6"/> <w:LsdException Locked="false" Priority="19" SemiHidden="false" UnhideWhenUsed="false" QFormat="true" Name="Subtle Emphasis"/> <w:LsdException Locked="false" Priority="21" SemiHidden="false" UnhideWhenUsed="false" QFormat="true" Name="Intense Emphasis"/> <w:LsdException Locked="false" Priority="31" SemiHidden="false" UnhideWhenUsed="false" QFormat="true" Name="Subtle Reference"/> <w:LsdException Locked="false" Priority="32" SemiHidden="false" UnhideWhenUsed="false" QFormat="true" Name="Intense Reference"/> <w:LsdException Locked="false" Priority="33" SemiHidden="false" UnhideWhenUsed="false" QFormat="true" Name="Book Title"/> <w:LsdException Locked="false" Priority="37" Name="Bibliography"/> <w:LsdException Locked="false" Priority="39" QFormat="true" Name="TOC Heading"/> </w:LatentStyles> </xml><![endif]--> <style> <!-- /* Font Definitions */ @font-face {font-family:[SO; panose-1:2 1 6 0 3 1 1 1 1 1; mso-font-alt:SimSun; 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:1; mso-generic-font-family:roman; mso-font-format:other; mso-font-pitch:variable; mso-font-signature:0 0 0 0 0 0;} @font-face {font-family:Calibri; panose-1:2 15 5 2 2 2 4 3 2 4; mso-font-charset:0; mso-generic-font-family:swiss; mso-font-pitch:variable; mso-font-signature:-520092929 1073786111 9 0 415 0;} @font-face {font-family:NSe~ў; panose-1:2 1 6 0 4 1 1 1 1 1; mso-font-charset:134; mso-generic-font-family:auto; mso-font-pitch:variable; mso-font-signature:647 135200768 16 0 262303 0;} @font-face {font-family:"\@[SO"; 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:"\@NSe~ў"; panose-1:2 1 6 0 4 1 1 1 1 1; mso-font-charset:134; mso-generic-font-family:auto; mso-font-pitch:variable; mso-font-signature:647 135200768 16 0 262303 0;} /* Style Definitions */ p.MsoNormal, li.MsoNormal, div.MsoNormal {mso-style-unhide:no; mso-style-qformat:yes; mso-style-parent:""; margin:0cm; margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:12.0pt; font-family:[SO; mso-bidi-font-family:[SO; color:black;} p.MsoHeader, li.MsoHeader, div.MsoHeader {mso-style-noshow:yes; mso-style-priority:99; mso-style-link:"u w Char"; margin:0cm; margin-bottom:.0001pt; text-align:center; mso-pagination:widow-orphan; tab-stops:center 207.65pt right 415.3pt; layout-grid-mode:char; border:none; mso-border-bottom-alt:solid windowtext .75pt; padding:0cm; mso-padding-alt:0cm 0cm 1.0pt 0cm; font-size:9.0pt; font-family:[SO; mso-bidi-font-family:[SO; color:black;} p.MsoFooter, li.MsoFooter, div.MsoFooter {mso-style-noshow:yes; mso-style-priority:99; mso-style-link:"u Char"; margin:0cm; margin-bottom:.0001pt; mso-pagination:widow-orphan; tab-stops:center 207.65pt right 415.3pt; layout-grid-mode:char; font-size:9.0pt; font-family:[SO; mso-bidi-font-family:[SO; color:black;} a:link, span.MsoHyperlink {mso-style-noshow:yes; mso-style-priority:99; color:blue; text-decoration:underline; text-underline:single;} a:visited, span.MsoHyperlinkFollowed {mso-style-noshow:yes; mso-style-priority:99; color:purple; text-decoration:underline; text-underline:single;} p {mso-style-noshow:yes; mso-style-priority:99; mso-margin-top-alt:auto; margin-right:0cm; mso-margin-bottom-alt:auto; margin-left:0cm; mso-pagination:widow-orphan; font-size:12.0pt; font-family:[SO; mso-bidi-font-family:[SO; color:black;} p.MsoAcetate, li.MsoAcetate, div.MsoAcetate {mso-style-noshow:yes; mso-style-priority:99; mso-style-link:"yblFhe,g Char"; margin:0cm; margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:9.0pt; font-family:[SO; mso-bidi-font-family:[SO; color:black;} span.Char {mso-style-name:"u w Char"; mso-style-noshow:yes; mso-style-priority:99; mso-style-unhide:no; mso-style-locked:yes; mso-style-link:u w; mso-ansi-font-size:9.0pt; mso-bidi-font-size:9.0pt; font-family:[SO; mso-ascii-font-family:[SO; mso-fareast-font-family:[SO; mso-hansi-font-family:[SO; mso-bidi-font-family:[SO; color:black;} span.Char0 {mso-style-name:"u Char"; mso-style-noshow:yes; mso-style-priority:99; mso-style-unhide:no; mso-style-locked:yes; mso-style-link:u; mso-ansi-font-size:9.0pt; mso-bidi-font-size:9.0pt; font-family:[SO; mso-ascii-font-family:[SO; mso-fareast-font-family:[SO; mso-hansi-font-family:[SO; mso-bidi-font-family:[SO; color:black;} span.Char1 {mso-style-name:"yblFhe,g Char"; mso-style-noshow:yes; mso-style-priority:99; mso-style-unhide:no; mso-style-locked:yes; mso-style-link:yblFhe,g; mso-ansi-font-size:9.0pt; mso-bidi-font-size:9.0pt; font-family:[SO; mso-ascii-font-family:[SO; mso-fareast-font-family:[SO; mso-hansi-font-family:[SO; mso-bidi-font-family:[SO; color:black;} 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; mso-ascii-font-family:"Times New Roman"; mso-hansi-font-family:"Times New Roman"; mso-font-kerning:0pt;} /* Page Definitions */ @page {mso-footnote-separator:url("publication.files/header.htm") fs; mso-footnote-continuation-separator:url("publication.files/header.htm") fcs; mso-endnote-separator:url("publication.files/header.htm") es; mso-endnote-continuation-separator:url("publication.files/header.htm") ecs;} @page WordSection1 {size:595.3pt 841.9pt; margin:72.0pt 90.0pt 72.0pt 90.0pt; mso-header-margin:42.55pt; mso-footer-margin:49.6pt; mso-paper-source:0;} div.WordSection1 {page:WordSection1;} --> </style> <!--[if gte mso 10]> <style> /* Style Definitions */ table.MsoNormalTable {mso-style-name:nfh <![endif]--> <meta name=CREATED content="0;0"> <meta name=CHANGED content="20141210;19522700"> <meta name=Title content="Self-study Report for Academic Fields"> <!--[if gte mso 9]><xml> <u1:DocumentProperties> <u1:Author>jiaotong</u1:Author> <u1:Template>Normal</u1:Template> <u1:LastAuthor>Li</u1:LastAuthor> <u1:Revision>82</u1:Revision> <u1:TotalTime>294</u1:TotalTime> <u1:LastPrinted>2010-04-27T07:11:00Z</u1:LastPrinted> <u1:Created>2012-06-06T02:55:00Z</u1:Created> <u1:LastSaved>2014-10-11T01:08:00Z</u1:LastSaved> <u1:Pages>2</u1:Pages> <u1:Words>1166</u1:Words> <u1:Characters>6649</u1:Characters> <u1:Lines>55</u1:Lines> <u1:Paragraphs>15</u1:Paragraphs> <u1:CharactersWithSpaces>7800</u1:CharactersWithSpaces> <u1:Version>12.00</u1:Version> </u1:DocumentProperties> </xml><![endif]--><!--[if gte mso 9]><xml> <u2:WordDocument> <u2:View>Print</u2:View> <u2:Zoom>90</u2:Zoom> <u2:DisplayBackgroundShape/> <u2:SpellingState>Clean</u2:SpellingState> <u2:TrackMoves>false</u2:TrackMoves> <u2:TrackFormatting/> <u2:PunctuationKerning/> <u2:DrawingGridVerticalSpacing>0 x</u2:DrawingGridVerticalSpacing> <u2:DisplayHorizontalDrawingGridEvery>0</u2:DisplayHorizontalDrawingGridEvery> <u2:DisplayVerticalDrawingGridEvery>2</u2:DisplayVerticalDrawingGridEvery> <u2:ValidateAgainstSchemas/> <u2:SaveIfXMLInvalid>false</u2:SaveIfXMLInvalid> <u2:IgnoreMixedContent>false</u2:IgnoreMixedContent> <u2:AlwaysShowPlaceholderText>false</u2:AlwaysShowPlaceholderText> <u2:DoNotPromoteQF/> <u2:LidThemeOther>EN-US</u2:LidThemeOther> <u2:LidThemeAsian>ZH-CN</u2:LidThemeAsian> <u2:LidThemeComplexScript>X-NONE</u2:LidThemeComplexScript> <u2:Compatibility> <u2:SpaceForUL/> <u2:BalanceSingleByteDoubleByteWidth/> <u2:DoNotLeaveBackslashAlone/> <u2:ULTrailSpace/> <u2:DoNotExpandShiftReturn/> <u2:AdjustLineHeightInTable/> <u2:BreakWrappedTables/> <u2:SnapToGridInCell/> <u2:WrapTextWithPunct/> <u2:UseAsianBreakRules/> <u2:DontGrowAutofit/> <u2:SplitPgBreakAndParaMark/> <u2:DontVertAlignCellWithSp/> <u2:DontBreakConstrainedForcedTables/> <u2:DontVertAlignInTxbx/> <u2:Word11KerningPairs/> <u2:CachedColBalance/> </u2:Compatibility> <u2:NoLineBreaksAfter Lang="JA">$([{  0 0 000000Y[];[</u2:NoLineBreaksAfter> <u2:NoLineBreaksBefore Lang="JA">!%),.:;&gt;?]}    & 0 2 3 : !6"000 0 0 0000006:>@DZ\^ =@\]^</u2:NoLineBreaksBefore> <u2:BrowserLevel>MicrosoftInternetExplorer4</u2:BrowserLevel> <u3:mathPr> <u3:mathFont u3:val="Cambria Math"/> <u3:brkBin u3:val="before"/> <u3:brkBinSub u3:val="--"/> <u3:smallFrac u3:val="off"/> <u3:dispDef/> <u3:lMargin u3:val="0"/> <u3:rMargin u3:val="0"/> <u3:defJc u3:val="centerGroup"/> <u3:wrapIndent u3:val="1440"/> <u3:intLim u3:val="subSup"/> <u3:naryLim u3:val="undOvr"/> </u3:mathPr> </u2:WordDocument> </xml><![endif]--><!--[if gte mso 9]><xml> <u4:LatentStyles DefLockedState="false" DefUnhideWhenUsed="false" DefSemiHidden="false" DefQFormat="false" LatentStyleCount="267"> <u4:LsdException Locked="true" QFormat="true" Name="Normal"/> <u4:LsdException Locked="true" QFormat="true" Name="heading 1"/> <u4:LsdException Locked="true" SemiHidden="true" UnhideWhenUsed="true" QFormat="true" Name="heading 2"/> <u4:LsdException Locked="true" SemiHidden="true" UnhideWhenUsed="true" QFormat="true" Name="heading 3"/> <u4:LsdException Locked="true" SemiHidden="true" UnhideWhenUsed="true" QFormat="true" Name="heading 4"/> <u4:LsdException Locked="true" SemiHidden="true" UnhideWhenUsed="true" QFormat="true" Name="heading 5"/> <u4:LsdException Locked="true" SemiHidden="true" UnhideWhenUsed="true" QFormat="true" Name="heading 6"/> <u4:LsdException Locked="true" SemiHidden="true" UnhideWhenUsed="true" QFormat="true" Name="heading 7"/> <u4:LsdException Locked="true" SemiHidden="true" UnhideWhenUsed="true" QFormat="true" Name="heading 8"/> <u4:LsdException Locked="true" SemiHidden="true" UnhideWhenUsed="true" QFormat="true" Name="heading 9"/> <u4:LsdException Locked="true" Name="toc 1"/> <u4:LsdException Locked="true" Name="toc 2"/> <u4:LsdException Locked="true" Name="toc 3"/> <u4:LsdException Locked="true" Name="toc 4"/> <u4:LsdException Locked="true" Name="toc 5"/> <u4:LsdException Locked="true" Name="toc 6"/> <u4:LsdException Locked="true" Name="toc 7"/> <u4:LsdException Locked="true" Name="toc 8"/> <u4:LsdException Locked="true" Name="toc 9"/> <u4:LsdException Locked="true" SemiHidden="true" UnhideWhenUsed="true" QFormat="true" Name="caption"/> <u4:LsdException Locked="true" QFormat="true" Name="Title"/> <u4:LsdException Locked="false" Priority="1" Name="Default Paragraph Font"/> <u4:LsdException Locked="true" QFormat="true" Name="Subtitle"/> <u4:LsdException Locked="false" Priority="99" Name="Hyperlink"/> <u4:LsdException Locked="true" QFormat="true" Name="Strong"/> <u4:LsdException Locked="true" QFormat="true" Name="Emphasis"/> <u4:LsdException Locked="false" Priority="99" Name="No List"/> <u4:LsdException Locked="true" Name="Table Grid"/> <u4:LsdException Locked="false" QFormat="true" Name="No Spacing"/> <u4:LsdException Locked="false" QFormat="true" Name="List Paragraph"/> <u4:LsdException Locked="false" QFormat="true" Name="Quote"/> <u4:LsdException Locked="false" QFormat="true" Name="Intense Quote"/> <u4:LsdException Locked="false" QFormat="true" Name="Subtle Emphasis"/> <u4:LsdException Locked="false" QFormat="true" Name="Intense Emphasis"/> <u4:LsdException Locked="false" QFormat="true" Name="Subtle Reference"/> <u4:LsdException Locked="false" QFormat="true" Name="Intense Reference"/> <u4:LsdException Locked="false" QFormat="true" Name="Book Title"/> <u4:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" QFormat="true" Name="TOC Heading"/> </u4:LatentStyles> </xml><![endif]--><!--[if gte mso 9]><xml> <u5:shapedefaults u6:ext="edit" spidmax="8194"/> </xml><![endif]--><!--[if gte mso 9]><xml> <u7:shapelayout u8:ext="edit"> <u7:idmap u8:ext="edit" data="1"/> </u7:shapelayout> </xml><![endif]--><!--[if gte mso 9]><xml> <o:shapedefaults v:ext="edit" spidmax="11266"/> </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="#EEECE1" lang=ZH-CN link=blue vlink=purple style='tab-interval: 21.0pt'> <div class=WordSection1> <p style='line-height:125%'><b><span lang=EN-US style='font-size:16.0pt; line-height:125%;font-family:"Times New Roman","serif";color:blue'>Ph.D. Dissertation</span></b></p> <p style='line-height:15.1pt'><span lang=EN-US>&nbsp;</span></p> <p style='line-height:15.1pt'><span lang=EN-US style='font-family:"Times New Roman","serif"'>Liao, S.J.: Proposed <span class=SpellE>homotopy</span> analysis techniques for the solution of nonlinear problems. <span class=GramE><b>Ph.D. dissertation</b>, Shanghai <span class=SpellE>Jiaotong</span> University, 1992.</span></span></p> <p style='line-height:15.1pt'><span lang=EN-US>&nbsp;</span></p> <p style='mso-line-height-alt:15.1pt'><b><span lang=EN-US style='font-size: 16.0pt;font-family:"Times New Roman","serif";color:blue'>Books</span></b></p> <p align=center style='text-align:center;line-height:15.1pt'><span lang=EN-US>&nbsp;</span></p> <p style='line-height:15.1pt'><span lang=EN-US style='font-family:"Times New Roman","serif"'>Liao, S.J.: </span><span lang=EN-US><a href="http://numericaltank.sjtu.edu.cn/1stBook/book.htm"><b><span style='font-family:"Times New Roman","serif"'>Beyond Perturbation  Introduction to the Homotopy Analysis Method</span></b></a></span><span lang=EN-US style='font-family:"Times New Roman","serif"'>. <span class=GramE>Chapman &amp; Hall/CRC, Boca Raton, 2003.</span> <span class=GramE>( </span></span><span lang=EN-US><a href="http://www.gettextbooks.cn/search/?isbn=9781584884071"><i><span style='font-family:"Times New Roman","serif"'>Booking</span></i></a></span><span lang=EN-US style='font-family:"Times New Roman","serif"'> )</span></p> <p style='line-height:15.1pt'><span lang=EN-US>&nbsp;</span></p> <p style='line-height:15.1pt'><span lang=EN-US style='font-family:"Times New Roman","serif"'>Liao, S.J.: </span><span lang=EN-US><a href="http://numericaltank.sjtu.edu.cn/2ndBook.htm"><b><span style='font-family: "Times New Roman","serif"'>Homotopy Analysis Method in Nonlinear Differential Equations</span></b></a></span><span lang=EN-US style='font-family:"Times New Roman","serif"'>. Springer &amp; Higher Education Press, Heidelberg, 2012. <span class=GramE>( </span></span><span lang=EN-US><a href="http://www.gettextbooks.cn/search/?isbn=9783642251313+"><i><span style='font-family:"Times New Roman","serif"'>Booking</span></i></a></span><span lang=EN-US style='font-family:"Times New Roman","serif"'> ) <span class=GramE>[ </span><a href="http://numericaltank.sjtu.edu.cn/KeyArticles/HAM2nd.pdf">PDF</a> ]</span></p> <p style='line-height:15.1pt'><span lang=EN-US>&nbsp;</span></p> <p style='line-height:15.1pt'><span lang=EN-US style='font-family:"Times New Roman","serif"'>Liao, S.J., (ed.): </span><span lang=EN-US><a href="http://numericaltank.sjtu.edu.cn/KeyArticles/Advance-HAM-chap1.pdf"><b><span style='font-family:"Times New Roman","serif"'>Advances in Homotopy Analysis Method</span></b></a></span><span lang=EN-US style='font-family:"Times New Roman","serif"'>. <span class=GramE>World Scientific Press, 2013.</span> (<a href="http://www.worldscientific.com/worldscibooks/10.1142/8939#t=aboutBook"> </a></span><span lang=EN-US><a href="http://www.worldscientific.com/worldscibooks/10.1142/8939#t=aboutBook"><i><span style='font-family:"Times New Roman","serif"'>Booking</span></i></a></span><span lang=EN-US style='font-family:"Times New Roman","serif"'> ) [</span><span lang=EN-US><a href="http://numericaltank.sjtu.edu.cn/KeyArticles/Advance-HAM-chap1.pdf"><b><span style='font-family:"Times New Roman","serif"'>Chapter 1</span></b></a></span><span lang=EN-US style='font-family:"Times New Roman","serif"'>] </span></p> <p style='line-height:15.1pt'><span lang=EN-US>&nbsp;<o:p></o:p></span></p> <p align=center style='text-align:center'><u9:shapetype id="_x0000_t75" coordsize="21600,21600" u10:spt="75" u10:preferrelative="t" path="m@4@5l@4@11@9@11@9@5xe" filled="f" stroked="f"><u9:stroke joinstyle="miter"/><u9:formulas><u9:f eqn="if lineDrawn pixelLineWidth 0"/><u9:f eqn="sum @0 1 0"/><u9:f eqn="sum 0 0 @1"/><u9:f eqn="prod @2 1 2"/><u9:f eqn="prod @3 21600 pixelWidth"/><u9:f eqn="prod @3 21600 pixelHeight"/><u9:f eqn="sum @0 0 1"/><u9:f eqn="prod @6 1 2"/><u9:f eqn="prod @7 21600 pixelWidth"/><u9:f eqn="sum @8 21600 0"/><u9:f eqn="prod @7 21600 pixelHeight"/><u9:f eqn="sum @10 21600 0"/></u9:formulas><u9:path u10:extrusionok="f" gradientshapeok="t" u10:connecttype="rect"/><u10:lock u9:ext="edit" aspectratio="t"/></u9:shapetype><u9:shape id="_x0000_i1025" type="#_x0000_t75" style="width:414.45pt;&#13;&#10; height:23.55pt" u10:hrpct="0" u10:hralign="center" u10:hr="t"><u9:imagedata src="publication.files/image001.gif" u10:title="Row of Pebbles"/></u9:shape><span lang=EN-US><span style='mso-no-proof:yes'><img border=0 width=553 height=31 id="_x0000_i1025" src="publication.files/image001.gif"></span></span></p> <p style='line-height:15.1pt'><span lang=EN-US>&nbsp;</span></p> <p style='mso-line-height-alt:15.1pt'><b><span lang=EN-US style='font-size: 16.0pt;font-family:"Times New Roman","serif";color:blue'>Selected Journal Articles</span></b></p> <p align=center style='text-align:center;line-height:15.1pt'><span lang=EN-US>&nbsp;</span></p> <p><span lang=EN-US style='font-family:"Times New Roman","serif"'>1.</span><span lang=EN-US> </span><span lang=EN-US style='font-family:"Times New Roman","serif"'>Liao, S.J.: An approximate solution technique which does not depend upon small parameters: a special example.&nbsp; <b>Int. J. Non-Linear Mechanics</b>, <b>30</b>: 371-380 (1995).&nbsp; <span class=GramE>[ </span><a href="http://numericaltank.sjtu.edu.cn/KeyArticles/NLM1995.pdf">PDF</a> ]</span></p> <p><span lang=EN-US style='font-family:"Times New Roman","serif"'>2.</span><span lang=EN-US> </span><span lang=EN-US style='font-family:"Times New Roman","serif"'>Liao, S.J.: An approximate solution technique which does not depend upon small parameters (Part 2): an application in fluid mechanics. <b>Int. J. Non-Linear Mechanics</b>, <b>32</b>: 815-822 (1997).&nbsp; <span class=GramE>[ </span><a href="http://numericaltank.sjtu.edu.cn/KeyArticles/NLM1997.pdf">PDF</a> ]</span></p> <p><span lang=EN-US style='font-family:"Times New Roman","serif"'>3.</span><span lang=EN-US> </span><span lang=EN-US style='font-family:"Times New Roman","serif"'>Liao, S.J.: An explicit, totally analytic approximation of <span class=SpellE>Blasius</span> viscous flow problems.&nbsp; <b>Int. J. Non-Linear Mechanics</b>, <b>34</b>(4): 759-778 (1999).&nbsp; <span class=GramE>[ </span><a href="http://numericaltank.sjtu.edu.cn/KeyArticles/NLM1999.pdf">PDF</a> ]</span></p> <p><span lang=EN-US style='font-family:"Times New Roman","serif"'>4.</span><span lang=EN-US> </span><span lang=EN-US style='font-family:"Times New Roman","serif"'>Liao, S.J.: A uniformly valid analytic solution of 2D viscous flow past a semi-infinite flat plate. <b>J. Fluid Mechanics</b>, <b>385</b>: 101-128 (1999).&nbsp; <span class=GramE>[ </span><a href="http://numericaltank.sjtu.edu.cn/KeyArticles/JFM1999.pdf">PDF</a> ]</span></p> <p><span lang=EN-US style='font-family:"Times New Roman","serif"'>5.</span><span lang=EN-US> </span><span lang=EN-US style='font-family:"Times New Roman","serif"'>Liao, S.J. and Campo, A.: Analytic solutions of the temperature distribution in <span class=SpellE>Blasius</span> viscous flow problems. <b>J. Fluid Mechanics</b>, <b>453</b>: 411-425 (2002).&nbsp; <span class=GramE>[ </span><a href="http://numericaltank.sjtu.edu.cn/KeyArticles/JFM2002.pdf">PDF</a> ]</span></p> <p><span lang=EN-US style='font-family:"Times New Roman","serif"'>6.</span><span lang=EN-US> </span><span lang=EN-US style='font-family:"Times New Roman","serif"'>Liao, S.J.: On the analytic solution of <span class=SpellE>magnetohydrodynamic</span> flows of non-Newtonian fluids over a stretching sheet. <b>J. Fluid Mechanics</b>, <b>488</b>: 189-212 (2003).&nbsp; <span class=GramE>[ </span><a href="http://numericaltank.sjtu.edu.cn/KeyArticles/JFM2003.pdf">PDF</a> ]</span></p> <p><span lang=EN-US style='font-family:"Times New Roman","serif"'>7.</span><span lang=EN-US> </span><span lang=EN-US style='font-family:"Times New Roman","serif"'>Liao, S.J.: On the <span class=SpellE>homotopy</span> analysis method for nonlinear problems. <b>Applied Mathematics and Computation</b>, <b>147</b>: 499-513 (2004). <span class=GramE>[ </span><a href="http://numericaltank.sjtu.edu.cn/KeyArticles/AMC-HAM.pdf">PDF</a> ]</span></p> <p><span lang=EN-US style='font-family:"Times New Roman","serif"'>8.</span><span lang=EN-US> </span><span lang=EN-US style='font-family:"Times New Roman","serif"'>Liao, S.J.: A new branch of solutions of boundary-layer flows over an impermeable stretched plate. <b>Int. J. Heat and Mass Transfer</b>, <b>48</b>: 2529-2539 (2005). <span class=GramE>[ </span><a href="http://numericaltank.sjtu.edu.cn/KeyArticles/IJHMT2005.pdf">PDF</a> ]&nbsp;</span></p> <p><span lang=EN-US style='font-family:"Times New Roman","serif"'>9.</span><span lang=EN-US> </span><span lang=EN-US style='font-family:"Times New Roman","serif"'>Liao, S.J.: Series solutions of unsteady boundary-layer flows over a stretching flat plate. <b>Studies in Applied Mathematics</b>, <b>117</b>: 239-263 (2006). <span class=GramE>[ </span><a href="http://numericaltank.sjtu.edu.cn/KeyArticles/SAM2006.pdf">PDF</a> ]&nbsp;&nbsp; </span></p> <p><span lang=EN-US style='font-family:"Times New Roman","serif"'>10.</span><span lang=EN-US> </span><span lang=EN-US style='font-family:"Times New Roman","serif"'>Liao, S.J. and Tan, Y.: A general approach to obtain series solutions of nonlinear differential equations. <b>Studies in Applied Mathematics</b>, <b>119</b>: 297-354 (2007). <span class=GramE>[ </span><a href="http://numericaltank.sjtu.edu.cn/KeyArticles/SAM2007.pdf">PDF</a> ]</span></p> <p class=MsoNormal style='mso-margin-top-alt:auto;margin-right:1.45pt'><span lang=EN-US style='font-family:"Times New Roman","serif"'>11.</span><span lang=EN-US> </span><span lang=EN-US style='font-family:"Times New Roman","serif"'>Liao, S.J.:  Notes on the <span class=SpellE>homotopy</span> analysis method: some definitions and theorems , <b>Communications in Nonlinear Science and Numerical Simulation</b>, vol. 14, pp. 983-997, 2009. <span class=GramE>[ </span><a href="http://numericaltank.sjtu.edu.cn/KeyArticles/LIAO-Notes-2009.pdf">PDF</a> ]</span></p> <p><span lang=EN-US style='font-family:"Times New Roman","serif"'>12.</span><span lang=EN-US> </span><span class=SpellE><span lang=EN-US style='font-family:"Times New Roman","serif"'>Xu</span></span><span lang=EN-US style='font-family:"Times New Roman","serif"'>, H.,</span><span lang=EN-US> </span><span lang=EN-US style='font-family:"Times New Roman","serif"'>Lin, Z.L., Liao, S.J.,</span><span lang=EN-US> </span><span lang=EN-US style='font-family:"Times New Roman","serif"'>Wu, J.Z. and <span class=SpellE>Majdalani</span>, J.: <span class=SpellE>Homotopy</span>-based solutions of the <span class=SpellE>Navier</span> Stokes equations for a porous channel with orthogonally moving walls. <b>Physics of Fluids</b>, <b>22</b>(5): 053601 (2010). <span class=GramE>[ </span><a href="http://numericaltank.sjtu.edu.cn/KeyArticles/PhysicsFluid2010.pdf">PDF</a> ]</span></p> <p><span lang=EN-US style='font-family:"Times New Roman","serif"'>13.</span><span lang=EN-US> </span><span lang=EN-US style='font-family:"Times New Roman","serif"'>Li,</span><span lang=EN-US> </span><span lang=EN-US style='font-family:"Times New Roman","serif"'>Y.J., <span class=SpellE>Nohara</span>, B.T. and Liao, S.J.: Series solutions of coupled Van <span class=SpellE>der</span> <span class=SpellE>Pol</span> equation by means of <span class=SpellE>homotopy</span> analysis method.</span><span lang=EN-US> </span><b><span lang=EN-US style='font-family:"Times New Roman","serif"'>J. Mathematical Physics,</span></b><span lang=EN-US> </span><b><span lang=EN-US style='font-family:"Times New Roman","serif"'>51</span></b><span lang=EN-US style='font-family:"Times New Roman","serif"'>: 063517 (2010). <span class=GramE>[ </span><a href="http://numericaltank.sjtu.edu.cn/KeyArticles/JMP2010.pdf">PDF</a> ]</span></p> <p><span lang=EN-US style='font-family:"Times New Roman","serif"'>14.</span><span lang=EN-US> </span><span lang=EN-US style='font-family:"Times New Roman","serif"'>Liao, S.J.: An optimal <span class=SpellE>homotopy</span>-analysis approach for strongly nonlinear differential equations. <b>Communications in Nonlinear Science and Numerical Simulation</b>, 15:2003-2016 (2010). <span class=GramE>[ </span><a href="http://numericaltank.sjtu.edu.cn/KeyArticles/Liao-CNSNS-OHAM.pdf">PDF</a> ]</span></p> <p><span lang=EN-US style='font-family:"Times New Roman","serif"'>15.</span><span lang=EN-US> </span><span style='mso-ascii-font-family:"Times New Roman"; mso-hansi-font-family:"Times New Roman";mso-bidi-font-family:"Times New Roman"'>^NO  </span><span style='font-family:NSe~ў'>Dd</span><span style='mso-ascii-font-family:"Times New Roman"; mso-hansi-font-family:"Times New Roman";mso-bidi-font-family:"Times New Roman"'>R T</span><span style='font-family:NSe~ў'>&O</span><span style='mso-ascii-font-family:"Times New Roman"; mso-hansi-font-family:"Times New Roman";mso-bidi-font-family:"Times New Roman"'>RgelW,g``SvQ</span><span style='font-family:NSe~ў'>^</span><span style='mso-ascii-font-family:"Times New Roman"; mso-hansi-font-family:"Times New Roman";mso-bidi-font-family:"Times New Roman"'>(u 0Rf[</span><span style='font-family:NSe~ў'>ۏ</span><span style='mso-ascii-font-family:"Times New Roman"; mso-hansi-font-family:"Times New Roman";mso-bidi-font-family:"Times New Roman"'>U\ 0 t^ ,{wS ,{g </span><span lang=EN-US style='font-family:"Times New Roman","serif"'>-</span><span style='mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'>u-Ne</span><span style='font-family: NSe~ў'>~</span><span style='mso-ascii-font-family:"Times New Roman";mso-hansi-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'></span><span style='font-family:NSe~ў'></span><span style='mso-ascii-font-family:"Times New Roman"; mso-hansi-font-family:"Times New Roman";mso-bidi-font-family:"Times New Roman"'>e </span><span lang=EN-US style='font-family:"Times New Roman","serif"'>[ <a href="http://numericaltank.sjtu.edu.cn/KeyArticles/Review-2008.pdf">PDF</a> ]</span></p> <p><span lang=EN-US style='font-family:"Times New Roman","serif"'>16.</span><span lang=EN-US> </span><span style='mso-ascii-font-family:"Times New Roman"; mso-hansi-font-family:"Times New Roman";mso-bidi-font-family:"Times New Roman"'>^NO  T</span><span style='font-family:NSe~ў'>&O</span><span style='mso-ascii-font-family:"Times New Roman"; mso-hansi-font-family:"Times New Roman";mso-bidi-font-family:"Times New Roman"'>RgelBl:_^</span><span style='font-family:NSe~ў'>~</span><span style='mso-ascii-font-family:"Times New Roman"; mso-hansi-font-family:"Times New Roman";mso-bidi-font-family:"Times New Roman"'>'`</span><span style='font-family:NSe~ў'></span><span style='mso-ascii-font-family:"Times New Roman"; mso-hansi-font-family:"Times New Roman";mso-bidi-font-family:"Times New Roman"'>vN*Ne_ 0yf[</span><span style='font-family:NSe~ў'>‰</span><span style='mso-ascii-font-family:"Times New Roman"; mso-hansi-font-family:"Times New Roman";mso-bidi-font-family:"Times New Roman"'>[ 0 t^ ,{wS ,{g </span><span lang=EN-US style='font-family:"Times New Roman","serif"'>-</span><span style='mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'>u</span><span style='font-family: NSe~ў'>p</span><span style='mso-ascii-font-family:"Times New Roman";mso-hansi-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'>pxvz</span><span style='font-family:NSe~ў'></span><span style='mso-ascii-font-family:"Times New Roman"; mso-hansi-font-family:"Times New Roman";mso-bidi-font-family:"Times New Roman"'>eyr</span><span style='font-family:NSe~ў'>~</span><span style='mso-ascii-font-family:"Times New Roman"; mso-hansi-font-family:"Times New Roman";mso-bidi-font-family:"Times New Roman"'>?z </span><span lang=EN-US style='font-family:"Times New Roman","serif"'>[ <a href="http://numericaltank.sjtu.edu.cn/KeyArticles/ScienceFocus2009.pdf">PDF</a> ]</span></p> <p><span lang=EN-US style='font-family:"Times New Roman","serif"'>17.</span><span lang=EN-US> </span><span style='mso-ascii-font-family:"Times New Roman"; mso-hansi-font-family:"Times New Roman";mso-bidi-font-family:"Times New Roman"'>^NO  T</span><span style='font-family:NSe~ў'>&O</span><span style='mso-ascii-font-family:"Times New Roman"; mso-hansi-font-family:"Times New Roman";mso-bidi-font-family:"Times New Roman"'>Rgelxvz̀ofT</span><span style='font-family:NSe~ў'>s</span><span style='mso-ascii-font-family:"Times New Roman"; mso-hansi-font-family:"Times New Roman";mso-bidi-font-family:"Times New Roman"'>r 0yf[</span><span style='font-family:NSe~ў'>‰</span><span style='mso-ascii-font-family:"Times New Roman"; mso-hansi-font-family:"Times New Roman";mso-bidi-font-family:"Times New Roman"'>[ 0 t^ ,{wS ,{g </span><span lang=EN-US style='font-family:"Times New Roman","serif"'>-</span><span style='mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'>u</span><span style='font-family: NSe~ў'>p</span><span style='mso-ascii-font-family:"Times New Roman";mso-hansi-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'>pxvz</span><span style='font-family:NSe~ў'></span><span style='mso-ascii-font-family:"Times New Roman"; mso-hansi-font-family:"Times New Roman";mso-bidi-font-family:"Times New Roman"'>eyr</span><span style='font-family:NSe~ў'>~</span><span style='mso-ascii-font-family:"Times New Roman"; mso-hansi-font-family:"Times New Roman";mso-bidi-font-family:"Times New Roman"'>?z </span><span lang=EN-US style='font-family:"Times New Roman","serif"'>[ <a href="http://numericaltank.sjtu.edu.cn/KeyArticles/ScienceFocus2011.pdf">PDF</a> ]</span></p> <p><span lang=EN-US style='font-family:"Times New Roman","serif"'>18.</span><span lang=EN-US> </span><span lang=EN-US style='font-family:"Times New Roman","serif"'>Liao, S.J.: On the reliability of computed chaotic solutions of non-linear differential equations. <span class=SpellE><b>Tellus</b></span>, 61(A): 550-564 (2009). <span class=GramE>[ </span><a href="http://numericaltank.sjtu.edu.cn/1stBook/paper/Liao-Tellus-2009.pdf">PDF</a> ] (<a href="http://arxiv.org/abs/0901.2986v1"><span class=GramE>arXiv:</span>0901.2986</a>)</span></p> <p><span lang=EN-US style='font-family:"Times New Roman","serif"'>19.</span><span lang=EN-US> </span><span lang=EN-US style='font-family:"Times New Roman","serif"'>Liao, S.J.: Chaos  A bridge from micro-level uncertainty to macroscopic randomness.&nbsp; <span class=GramE><b>Communications in Nonlinear Science and Numerical Simulation</b>.</span>&nbsp; 17: 2564-2569 (2012) [<a href="http://numericaltank.sjtu.edu.cn/1stBook/paper/Liao%20CNSNS-Chaos.pdf">PDF</a>] (<a href="http://arxiv.org/abs/1108.4472v3">arXiv<span class=GramE>:1108.4472</span></a>).&nbsp; </span></p> <p><span lang=EN-US style='font-family:"Times New Roman","serif"'>20.<span style='mso-spacerun:yes'> </span>Liao, S.J.: On the numerical simulation of propagation of micro-level inherent uncertainty for chaotic dynamic systems. <b>Chaos, <span class=SpellE>Solitons</span> &amp; Fractals</b>, 47: 1-12 (2013). [<a href="http://numericaltank.sjtu.edu.cn/KeyArticles/2013-LIAO-CHAOS.pdf">PDF</a>]</span></p> <p><span lang=EN-US style='font-family:"Times New Roman","serif"'>21.<span style='mso-spacerun:yes'> </span><span class=SpellE>Xu</span>, D.L., Lin, Z.L., Liao, S.J. and <span class=SpellE>Stiassnie</span>, M.: On the steady-state fully resonant progressive waves in water of finite depth, <b>Journal of Fluid Mechanics</b>, <b>710</b>:379-418 (2012). [<a href="http://numericaltank.sjtu.edu.cn/KeyArticles/JFM2012Wave-resonance.pdf"> PDF</a> ]</span></p> <p><span lang=EN-US style='font-family:"Times New Roman","serif"'>22.<span style='mso-spacerun:yes'> </span>Liao, S.J.: Physical limit of prediction for chaotic motion of three-body problem, <b>Communications in Nonlinear Science and Numerical Simulation</b>, <b>19</b>:601-616 (2013). [<a href="http://numericaltank.sjtu.edu.cn/KeyArticles/Liao-3body-CNSNS-2014.pdf">PDF</a>]</span></p> <p><span lang=EN-US style='font-family:"Times New Roman","serif"'>23.<span style='mso-spacerun:yes'> </span>Liao, S.J.:  Do peaked solitary water waves indeed exist?<span class=GramE> ,</span> <b>Communications in Nonlinear Science and Numerical Simulation,&nbsp;19</b>:1792-1821 (2014). [<a href="http://numericaltank.sjtu.edu.cn/KeyArticles/Unified-Wave-Model.pdf">PDF</a>]&nbsp; [<a href="http://numericaltank.sjtu.edu.cn/KeyArticles/UWM-AudioSlides.mp4">Elsevier AudioSlides</a>]</span></p> <p><span lang=EN-US style='font-family:"Times New Roman","serif"'>24.<span style='mso-spacerun:yes'> </span>Liao, S.J., Wang, P. F.: On the mathematically reliable long-term simulation of chaotic solutions of Lorenz equation in the interval [0, 10000], <b>SCIENCE CHINA Physics, Mechanics &amp; Astronomy, 57</b>:330-335 (2014). [<a href="http://numericaltank.sjtu.edu.cn/KeyArticles/scpma-2013-0356.pdf">PDF</a>] </span></p> <p><span lang=EN-US style='font-family:"Times New Roman","serif"'>25.<span style='mso-spacerun:yes'> </span>Liu, Z. and Liao, S.J.: Steady-state resonance of multiple wave interactions in deep water, <b>Journal of Fluid Mechanics</b>, <b>742</b>:664-700 (2014). [<a href="http://numericaltank.sjtu.edu.cn/KeyArticles/LiuZJFM.pdf"> PDF</a> ]</span></p> <p><span lang=EN-US style='font-family:"Times New Roman","serif"'>26.<span style='mso-spacerun:yes'> </span>Li, X.C., <span class=SpellE>Xu</span>, D.L., Liao, S.J.: Observations of highly localized <span class=SpellE>oscillons</span> with multiple crests and troughs, <b>PHYSICAL REVIEW E, 90</b>: 031001(R) (2014). [<a href="http://numericaltank.sjtu.edu.cn/KeyArticles/Phys%20Rev%20E%20-%202014.pdf"> PDF</a> ] [<a href="http://numericaltank.sjtu.edu.cn/KeyArticles/oscillon-(3,3).gif">Movie 1</a>][<a href="http://numericaltank.sjtu.edu.cn/KeyArticles/oscillon-(3,4).gif">Movie 2</a>]</span></p> <p><span lang=EN-US style='font-family:"Times New Roman","serif"'>27.<span style='mso-spacerun:yes'> </span>Liu, Z., <span class=SpellE>Xu</span>, D. L., Li, J., <span class=SpellE>Peng</span> T., <span class=SpellE>Alsaedi</span>, A., Liao, S. J.: On the existence of steady-state resonant waves in experiments , <b>Journal of Fluid Mechanics</b>, <b>763</b>:1-23 (2015). [<a href="http://numericaltank.sjtu.edu.cn/KeyArticles/JFM-2014-experiment.pdf"> PDF</a> ]<o:p></o:p></span></p> <p class=MsoNormal><span lang=EN-US style='font-family:"Times New Roman","serif"'>28.<span style='mso-spacerun:yes'> </span>Li, X.C., Yu, Z.Y., Liao, S.J.: Observation of two-dimensional Faraday waves in extremely shallow depth,</span><span lang=EN-US style='color:windowtext'> </span><b><span lang=EN-US style='font-family:"Times New Roman","serif"'>PHYSICAL REVIEW E, 92:</span></b><span lang=EN-US style='font-family:"Times New Roman","serif"'>033014 </span><span lang=EN-US style='font-family:"Times New Roman","serif";color:windowtext'>(2015). [<a href="http://numericaltank.sjtu.edu.cn/KeyArticles/PhysRevE.2015.pdf"> PDF</a> ] [<a href="http://numericaltank.sjtu.edu.cn/KeyArticles/fig1-video.gif">Movie 1</a>][<a href="http://numericaltank.sjtu.edu.cn/KeyArticles/fig2-video.gif">Movie 2</a>][<a href="http://numericaltank.sjtu.edu.cn/KeyArticles/fig4-video.gif">Movie 3</a>]<o:p></o:p></span></p> <p class=MsoNormal><span lang=EN-US style='color:windowtext'><o:p>&nbsp;</o:p></span></p> <p class=MsoNormal style='mso-pagination:none;mso-layout-grid-align:none; text-autospace:none'><span lang=EN-US style='font-family:"Times New Roman","serif"'>29.<span style='mso-spacerun:yes'> </span>Liao, S.J.<span class=GramE>,<span style='mso-spacerun:yes'> </span>Zhao</span>, Y. L.: On the method of directly defining inverse mapping for nonlinear differential equations,</span><b style='mso-bidi-font-weight:normal'><span lang=EN-US> </span></b><b><span lang=EN-US style='font-family:"Times New Roman","serif"'>Numerical Algorithms</span></b><span lang=EN-US style='font-family:"Times New Roman","serif"'>, pp.1-32.<b> </b>(2015). [<a href="http://numericaltank.sjtu.edu.cn/KeyArticles/Numer%20Algor-2015.pdf">PDF</a>] </span></p> <p><span lang=EN-US><o:p>&nbsp;</o:p></span></p> </div> </body> </html>