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Solution methods are developed and applied to domains as diverse as fluid dynamics, structural analysis, mass transport, heat transfer and, more in general, to multiscale and multiphysics applications. Our approach is carried out across several fields such as numerical linear algebra for large scale and high performance computing, constructive approximation theory using finite elements, spectral elements, isogeometric analysis and reduced order models, partial differential equations, optimization, control, direct and inverse problems, uncertainty quantification. Complex multidisciplinary systems such as the Haemodel, the two ERC Advanced Grants Projects <a href="http://mathcard.epfl.ch">Mathcard</a> and iHEART (for the simulation of the cardiovascular system), yacht design for America's cup, optimization of therapeutical tools in medicine and surgery, and many others, have been successfully addressed.</p> <p style="text-align: justify;"> </p> <p><img alt="" src="files/content/sites/cmcs/files/Images/Homepage/VorticityLIC.png" style="height:168px" />   <img alt="" src="files/content/sites/cmcs/files/Images/Research/Alinghi/AC32/streamwings_watermark.jpg" style="height:168px" />   <img alt="" src="files/content/sites/cmcs/files/Images/Homepage/AAA_Home.png" style="height:168px" /></p> <div class="clear"></div> <div class="clear"></div> <div class="clear"></div> </div> <div class="clear"></div> <div class="clear"></div> </div> <div class="right-col" role="complementary"> <div id="57298" class="box box-flat-panel home-navpanel local-color coloredTextBox" style=""> <h3> THE CHAIR</h3> <p> <style type="text/css">  </style> <table cellspacing="1" cellpadding="1" border="0" width="350" align="left" style="border: 1px none rgb(211, 211, 211);" valign="top"> <colgroup> <col width="31" /> <col width="268" /> </colgroup> <tbody> <tr> <td width="31" style="font-family: Arial,Verdana,sans-serif; 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font-size: 12px; border: 1px none rgb(211, 211, 211); text-align: left;"> <p style="text-align: center;"><img width="13" height="13" alt="" src="files/content/sites/cmcs/files/Images/Utility/FullWhiteSquareBullet.png" /></p> </td> <td width="268" style="font-family: Arial,Verdana,sans-serif; font-size: 12px; border: 1px none rgb(211, 211, 211); text-align: left;"> <p><a href="projects_1.html"><font color="#800000"><strong><font color="#ffffff">PAST PROJECTS</font></strong></font></a></p> </td> </tr> </tbody> </table> </p> <div class="clear"></div> <div class="clear"></div> <div class="clear"></div> </div> <div id="65932" class="box textBox" style=""> <h3> News</h3> <h4 class="left" id="your-own-virtual-heart-for-non-invasive-heart-diagnostics" style="text-align: center; margin-bottom: 16px; width: 100%">Your own virtual heart for<br /> non-invasive heart diagnostics </h4> <p><iframe allowfullscreen="" frameborder="0" height="169" src="https://www.youtube.com/embed/ehL-YDc6-5w?rel=0" width="300"></iframe></p> <p> </p> <p>Alfio Quarteroni and his team are building a virtual heart model based on personalized medical images that may one day help cardiologists and cardiac surgeons non-invasively diagnose pathological heart conditions. The team recently modeled and simulated the behavior of a patient’s aortic valve.</p> <p> </p> <div class="clear"></div> <div class="clear"></div> <div class="clear"></div> <p> <style type="text/css"> #marqueecontainer { position: relative; width: 306px; /*marquee width */ height: 200px; /*marquee height */ background-color: white; overflow: hidden; border: 0px solid orange; padding: 2px; padding-left: 4px; } </style> <script type="text/javascript"> /*********************************************** * Cross browser Marquee II- 漏 Dynamic Drive (www.dynamicdrive.com) * This notice MUST stay intact for legal use * Visit http://www.dynamicdrive.com/ for this script and 100s more. ***********************************************/ var delayb4scroll=2000 //Specify initial delay before marquee starts to scroll on page (2000=2 seconds) var marqueespeed=2 //Specify marquee scroll speed (larger is faster 1-10) var pauseit=1 //Pause marquee onMousever (0=no. 1=yes)? ////NO NEED TO EDIT BELOW THIS LINE//////////// var copyspeed=marqueespeed var pausespeed=(pauseit==0)? copyspeed: 0 var actualheight='' function scrollmarquee(){ if (parseInt(cross_marquee.style.top)>(actualheight*(-1)+8)) cross_marquee.style.top=parseInt(cross_marquee.style.top)-copyspeed+"px" else cross_marquee.style.top=parseInt(marqueeheight)+8+"px" } function initializemarquee(){ cross_marquee=document.getElementById("vmarquee") cross_marquee.style.top=0 marqueeheight=document.getElementById("marqueecontainer").offsetHeight actualheight=cross_marquee.offsetHeight if (window.opera || navigator.userAgent.indexOf("Netscape/7")!=-1) { //if Opera or Netscape 7x, add scrollbars to scroll and exit cross_marquee.style.height=marqueeheight+"px" cross_marquee.style.overflow="scroll" return } setTimeout('lefttime=setInterval("scrollmarquee()",30)', delayb4scroll) } if (window.addEventListener) window.addEventListener("load", initializemarquee, false) else if (window.attachEvent) window.attachEvent("onload", initializemarquee) else if (document.getElementById) window.onload=initializemarquee </script> </p> <div id="marqueecontainer" onMouseover="copyspeed=pausespeed" onMouseout="copyspeed=marqueespeed"> <div id="vmarquee" style="position: absolute; width: 98%;">  <p> </p> <p> </p> <center><b>News</b></center> <p> </p> <ul style="margin-left: 16px; list-style-type: square;"> <li style="margin-top: 4px">Prof. Alfio Quarteroni awarded the ERC Advanced Grant "iHEART" (April 2017) (following the former ERC Advanced Grant "MATHCARD" awarded in 2008).</li> <li style="margin-top: 4px"><a href="cms/site/cmcs/lang/en/news.html" style="color: rgb(51, 51, 51); font-style: normal;">ECCOMAS Award for the best PhD Thesis in 2015 to Dr. F. Negri (CMCS, EPFL)</a><br /> <i>Dr. Federico Negri, member of the Chair of Modelling and Scientific Computing, MATHICSE, SB, EPFL, has been awarded the ECCOMAS Award for one of the two best PhD Theses in 2015.<br /> Many congratulations to Federico!</i> </li> <li style="margin-top: 4px">Dr. C. Malossi awarded the <a target="_blank" href="http://www.hpcwire.com/off-the-wire/gordon-bell-prize-awarded-to-ibm-and-leading-university-researchers/">Gordon Bell Prize 2015</a> as member of a team of scientists of IBM Research and the California Institute of Technology.</li> <li style="margin-top: 4px">Prof. Alfio Quarteroni awarded the <a href="http://www.premiogalilei.it/news/view.php?id=19">Galileo Galilei International Prize for Science 2015</a>.</li> </ul> <p> </p> <table width="306" cellspacing="1" cellpadding="1" border="1" align="left"> <tbody> <tr> <td width="120"><img width="95" border="0" height="63" src="files/content/sites/cmcs/files/Images/News/GaussPrize_ICM2014.jpg" alt="Gauss Prize 2014" /></td> <td><a href="news.html" style="color: rgb(51, 51, 51); font-style: normal;">Alfio Quarteroni, chair of the Gauss 2014 Prize Committee, together with South Korean president (her excellency Park Geun-hye) and Stanley Osher (prize winner), at ICM 2014 in Seoul.</a></td> </tr> </tbody> </table> <p> </p> <ul style="margin-left: 16px; list-style-type: square;"> <li style="margin-top: 4px">A. Q. elected Full Member of Academia Europaea, 2014</li> <li style="margin-top: 4px">A. Q. nominated Honorary member of ECMI, 2014</li> <li style="margin-top: 4px">A. Q. nominated Member of the IMU Circle, 2014</li> </ul> <p> </p> <p> </p> <center><b>Recent books</b></center> <p> </p> <table width="306" cellspacing="1" cellpadding="1" border="1" align="left"> <tbody> <tr> <td width="120"><img width="95" border="0" height="145" src="files/content/sites/cmcs/files/Images/Books/book_2015_ReducedBasisMethodForPDEs.jpg" alt="Reduced Basis Methods for Partial Differential Equations" /></td> <td><b>A. Quarteroni, A. Manzoni, F. Negri</b><br /> <a href="http://www.springer.com/ch/book/9783319154305" style="color: rgb(51, 51, 51); font-style: normal;">Reduced Basis Methods for Partial Differential Equations</a><br /> Springer, Unitext Series, vol. 92, 2015. </td> </tr> <tr> <td colspan="2"> </td> </tr> <tr> <td width="120"><img width="95" border="0" height="145" src="files/content/sites/cmcs/files/Images/Books/book_2015_ScientificComputingJapan.jpg" alt="Scientific Computing with MATLAB and Octave, Third Ed." /></td> <td><b>A. Quarteroni, F. Saleri and P. Gervasio</b><br /> <a href="http://pub.maruzen.co.jp/book_magazine/news_event/2014/106521.html" style="color: rgb(51, 51, 51); font-style: normal;">Scientific Computing with MATLAB and Octave, Third Ed. (in Japanese)</a><br /> Maruzen Publishing Co., 2015. </td> </tr> <tr> <td colspan="2"> </td> </tr> <tr> <td width="120"><img width="95" border="0" height="145" src="files/content/sites/cmcs/files/Images/Books/book_2014_MatematicaNumerica.jpg" alt="Matematica Numerica, Quarta Ed." /></td> <td><b>A. Quarteroni, R. Sacco, F. Saleri, and P. Gervasio</b><br /> <a href="http://www.springer.com/mathematics/book/978-88-470-5643-5" style="color: rgb(51, 51, 51); font-style: normal;">Matematica Numerica, Quarta Ed.</a><br /> Springer-Italia, 2014. </td> </tr> <tr> <td colspan="2"> </td> </tr> <tr> <td width="120"><img width="95" border="0" height="145" src="files/content/sites/cmcs/files/Images/Books/book_2014_ScientificComputingWithMatlabAndOctave.jpg" alt="Scientific Computing with MATLAB and Octave, Fourth Ed." /></td> <td><b>A. Quarteroni, F. Saleri and P. Gervasio</b><br /> <a href="http://link.springer.com/book/10.1007%2F978-3-642-45367-0" style="color: rgb(51, 51, 51); font-style: normal;">Scientific Computing with MATLAB and Octave, Fourth Ed.</a><br /> Springer, 2014. </td> </tr> <tr> <td colspan="2"> </td> </tr> <tr> <td width="120"><img width="95" height="145" src="files/content/sites/cmcs/files/Images/Books/book_2013_msavolume8.jpg" alt="Numerical Models for Differential Problems" /></td> <td><b>A. Quarteroni</b><br /> <a href="http://www.springer.com/mathematics/book/978-88-470-5521-6" style="color: rgb(51, 51, 51); font-style: normal;">Numerical Models for Differential Problems</a><br /> Springer, 2013. </td> </tr> <tr> <td colspan="2"> </td> </tr> <tr> <td width="120"><img width="95" border="0" height="145" src="files/content/sites/cmcs/files/Images/Books/book_2013_msavolume9.jpg" alt="Reduced Order Methods for modeling and computational reduction" /></td> <td><b>A. Quarteroni, G. Rozza</b><br /> <a href="http://www.springer.com/mathematics/computational+science+%26+engineering/book/978-3-319-02089-1?otherVersion=978-3-319-02090-7" style="color: rgb(51, 51, 51); font-style: normal;">Reduced Order Methods for modeling and computational reduction</a><br /> Springer, 2013. </td> </tr> </tbody> </table>  </div> </div> <div class="clear"></div> <div class="clear"></div> <div class="clear"></div> </div> <div id="216329" class="box textBox" style=""> </div> <div class="clear"></div> <div class="clear"></div> </div> <div class="clear"></div> </div>  <div id="footer" role="contentinfo"> <h2 class="visuallyhidden">Footer links</h2> <ul> <li class="sitemap"> <a title="Go to page: Sitemap" href="site/cmcs/sitemap.html">Sitemap</a> </li> <li> <a title="Go to page: Accessibility" href="http://www.epfl.ch/accessibility.en.shtml">Accessibility</a> </li> <li> <a title="Legal notice Legal notice" href="http://mediacom.epfl.ch/disclaimer-en">Legal notice</a> </li> <li class="visuallyhidden"><a title="Jump to: Top of the page" href="index.html#top">Top of the page</a></li> <li> <meta itemprop="datePublished" content="2018-01-17T18:05:05"/> Updated 17.01.2018 </li> <li class="copyright">漏 <span itemprop="copyrightHolder">EPFL</span> <span itemprop="copyrightYear">2016</span></li> <li class="login"> <a title="Login" href="cms/engineName/tequila_login/site/cmcs/pid/7602.html">Login</a> </li> </ul> <script type="text/javascript"> epflJ(document).ready(function() { epflJ("#header2013").on("change", "input[type='radio']", function() { epflJ('#header_searchform').attr('action', epflJ(this).is('#search-engine-local') ? 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