<div dir="ltr"><br clear="all"><div><div dir="ltr" class="gmail_signature" data-smartmail="gmail_signature"><div dir="ltr"><div><div dir="ltr"><div><div dir="ltr"><div><br></div></div></div></div></div></div></div></div><div class="gmail_quote"><br><br><div dir="ltr"><img src="cid:ii_lgbfs7ow0" alt="SDSU_CSRC Logo.jpg" width="541" height="108"><br>

<p style="color:rgba(0,0,0,0.87);font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif;font-style:normal;font-variant-ligatures:normal;font-variant-caps:normal;font-weight:400;letter-spacing:normal;text-align:start;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;text-decoration-style:initial;text-decoration-color:initial"><font size="4">DATE:  <br><b>Friday, April 21 , 2023</b></font></p><p style="color:rgba(0,0,0,0.87);font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif;font-style:normal;font-variant-ligatures:normal;font-variant-caps:normal;font-weight:400;letter-spacing:normal;text-align:start;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;text-decoration-style:initial;text-decoration-color:initial"><font size="4"><br></font></p><div dir="ltr" style="color:rgba(0,0,0,0.87);font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif;font-style:normal;font-variant-ligatures:normal;font-variant-caps:normal;font-weight:400;letter-spacing:normal;text-align:start;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;text-decoration-style:initial;text-decoration-color:initial"><p><font size="4">TITLE:<br><b>Energy Conservation and Numerical Stability of Mimetic Difference Schemes</b></font></p><p><font size="4"><b> </b></font></p><p><font size="4">TIME:  <br><b>3:30-5:00 PM</b></font></p><p><font size="4"> </font></p><p><font size="4">LOCATION:</font></p><p><font size="4"><b>In Person - GMCS 31</b><b>4<br></b></font></p><font size="4"></font></div><div dir="ltr" style="color:rgba(0,0,0,0.87);font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif;font-style:normal;font-variant-ligatures:normal;font-variant-caps:normal;font-weight:400;letter-spacing:normal;text-align:start;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;text-decoration-style:initial;text-decoration-color:initial"><p><font size="4">SPEAKER/BIO: <br></font>

<font size="4"><b><span style="color:rgb(0,0,0);font-family:"Times New Roman",Times,serif;font-style:normal;font-variant-ligatures:normal;font-variant-caps:normal;letter-spacing:normal;text-align:left;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;text-decoration-style:initial;text-decoration-color:initial;display:inline;float:none">Dr. Miguel Dumett,</span></b></font></p><p><b style="font-size:large"><span style="color:rgb(0,0,0);font-family:"Times New Roman",Times,serif">Computational Science Research Center</span></b></p><p><b style="font-size:large"><span style="color:rgb(0,0,0);font-family:"Times New Roman",Times,serif">San Diego State University</span></b><span style="font-size:large">

 </span><b style="font-size:large"> </b></p><p><font size="4"><br></font></p><p><font size="4"><b>ABSTRACT: </b></font></p><p>

<font size="4"><span style="font-family:arial,sans-serif"><span style="color:rgb(34,34,34);font-style:normal;font-variant-ligatures:normal;font-variant-caps:normal;letter-spacing:normal;text-align:start;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;display:inline;float:none">Currently there exist several versions of staggered and full-staggered mimetic discretizations, all of them satisfying energy conservation due to several properties enforced during their constructions. However, no proof about this fact exists in the literature. In the first part of the talk, mimetic differences are introduced from a general perspective. Mimetic discrete analogs of vector calculus spatial derivative operators can achieve constant high-order discretization in the whole computational domain including the grid boundaries. Moreover, high-order discrete generalized versions of the divergence theorem as well as other integral theorems are attained by specially constructed weighted inner products. The way these properties imply energy conservation of mimetic differences is demonstrated in the second part of the talk.</span></span>

<span style="color:rgb(0,0,0);font-family:"Times New Roman",Times,serif"></span><br></font></p></div><div dir="ltr" style="color:rgba(0,0,0,0.87);font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif;font-style:normal;font-variant-ligatures:normal;font-variant-caps:normal;font-weight:400;letter-spacing:normal;text-align:start;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;text-decoration-style:initial;text-decoration-color:initial"><p><font size="4">Host:<b>  </b><span style="color:rgb(0,0,0);font-family:"Times New Roman",Times,serif"><b>Jose Castillo<br></b></span></font></p></div><font size="4">

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