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<p class=MsoNormal><span style='color:black'>Dear All,<o:p></o:p></span></p>
<p class=MsoNormal><span style='color:black'><o:p> </o:p></span></p>
<p class=MsoPlainText><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";
color:black'>This is a kind reminder that our next LI-LA-SiGMA seminar is
today, March </span><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";
color:#1F497D'>2</span><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";
color:black'>9th at 2.00pm. Our speaker is Dr. Dr. Jianliang Qian from Michigan
State University. Dr. Qian is visiting LA Tech thanks to Dr. Songming Hou.<o:p></o:p></span></p>
<p class=MsoPlainText><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";
color:black'><o:p> </o:p></span></p>
<p class=MsoPlainText style='text-align:justify'><b><span style='font-size:
11.0pt;font-family:"Calibri","sans-serif";color:black'>Title: </span></b><b><i><span
style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:black'>Fast
Algorithms for High Frequency Waves and Applications in Kinetic Inverse
Problems</span></i></b><b><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";
color:black'><o:p></o:p></span></b></p>
<p class=MsoPlainText style='text-align:justify'><span style='font-size:11.0pt;
font-family:"Calibri","sans-serif";color:black'><o:p> </o:p></span></p>
<p class=MsoNormal style='text-align:justify;text-autospace:none'><u><span
style='color:black'>Abstract:</span></u><span style='color:black'> </span><span
style='color:black'>Computational wave propagation has emerged as a
fundamental, vigorously growing technology for modeling, design, and
development in areas ranging from radar, sonar, seismic imaging, medical
imaging, submarine detection, stealth technology, remote sensing and
electronics to microscopy and nanotechnology. The significant recent
applications of the wave propagation technology have driven the need for more
advanced mathematical models and numerical algorithms. However, by the physical
nature of these models, it is difficult to develop rigorous numerical methods
in the high frequency regime due to the highly oscillatory property of the
fields. Therefore, a multitude of simulations are based on some approximate models.
Among these, the simplest and most broadly used is the geometrical optics model
that results as a lowest order (WKBJ) approximation of wave-like equations as
the frequency becomes infinite. The focus of the recent efforts along the line
is on developing fast algorithms for accurate high frequency wave propagation. <o:p></o:p></span></p>
<p class=MsoNormal style='text-align:justify;text-autospace:none'><span
style='color:black'><o:p> </o:p></span></p>
<p class=MsoNormal style='text-align:justify;text-autospace:none'><span
style='color:black'>I will give an overview of some newly developed fast
algorithms for high frequency wave propagation, such as fast sweeping methods
for eikonal equations, Gaussian beam methods for the Schrodinger equation based
on fast wavepacket transforms, and multiscale Gaussian beam methods for wave
equations based on fast ultiscale wavepacket transforms. Fast sweeping methods
are a family of efficient algorithms for solving nonlinear stationary Hamilton-Jacobi
equations which include eikonal equations. Gaussian beam methods are a class of
uniform geometrical-optics approximations for wave equations which include the
Schrodinger equation, the Helmholtz equation as well as various classical wave
equations. Fast (multiscale) wavepacket transforms enable us to develop fast
(multiscale) Gaussian beam methods for these equations. To demonstrate the
power of these fast algorithms, I will outline two exciting applications in
kinetic inverse problems: traveltime tomography and photoacoustic tomography.
<o:p></o:p></span></p>
<p class=MsoPlainText style='text-align:justify'><span style='font-size:11.0pt;
font-family:"Calibri","sans-serif";color:black'><o:p> </o:p></span></p>
<p class=MsoPlainText style='text-align:justify'><u><span style='font-size:
11.0pt;font-family:"Calibri","sans-serif";color:black'>Bio:</span></u><span
style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:black'> Dr. </span><span
style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:black'>Jianliang
Qian currently is an Associate Professor of Mathematics at Michigan State
University in East Lansing, Michigan. He earned his Ph.D. degree at Rice
University under the supervision of William W. Symes in May 2000. From
September 2000 to August 2002, he was a Postdoctoral Research Associate at the
Institute for Mathematics and Applications (IMA), University of Minnesota. From
September 2002 to July 2005, he was a CAM Assistant Professor at UCLA. From
August 2005 to July 2007, he was an Assistant Professor at Wichita State
University. From August 2007 to June 2010, he was an Assistant Professor at
Michigan State University. He was promoted to be an associate professor with
tenure at Michigan State University in July 2010. He has published more than 35
journal papers. He has organized the 2010 IMA Participating Institute Graduate
Summer School on Computational Wave Propagation. His research interest is on
high frequency wave propagation and related applications in inverse problems,
seismic imaging and medical imaging. His research is mainly supported by NSF
and DOD, and he has received four research grants with a cumulative budget of
more than $600K.<o:p></o:p></span></p>
<p class=MsoPlainText><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";
color:#1F497D'><o:p> </o:p></span></p>
<p class=MsoPlainText><span style='font-size:11.0pt;font-family:"Calibri","sans-serif"'>The
access grid locations are as follow: <o:p></o:p></span></p>
<p class=MsoPlainText><span style='font-size:11.0pt;font-family:"Calibri","sans-serif"'><o:p> </o:p></span></p>
<p class=MsoNoSpacing style='line-height:115%'><u>Tulane:</u> AG room: 403
Stanley Thomas Hall<o:p></o:p></p>
<p class=MsoNoSpacing style='line-height:115%'><u>University of Louisiana at
Lafayette</u>: AG room: Abdalla Hall<o:p></o:p></p>
<p class=MsoNoSpacing style='line-height:115%'><u>Southern University:</u>
AG room: 218 Moore Hall<o:p></o:p></p>
<p class=MsoNoSpacing style='line-height:115%'><u>UNO:</u> AG room: <span
style='color:black'>SC 2002</span><o:p></o:p></p>
<p class=MsoNoSpacing style='line-height:115%'><u>LSU:</u> AG room:
Johnston 338<o:p></o:p></p>
<p class=MsoNoSpacing style='line-height:115%'><u>LATECH:</u> AG room: 234
Netken Hall<o:p></o:p></p>
<p class=MsoPlainText style='text-align:justify'><span style='font-size:11.0pt;
font-family:"Calibri","sans-serif"'><o:p> </o:p></span></p>
<p class=MsoPlainText style='text-align:justify'><span style='font-size:11.0pt;
font-family:"Calibri","sans-serif"'>Please, distribute this email to your
students and colleagues.<o:p></o:p></span></p>
<p class=MsoNormal><o:p> </o:p></p>
<p class=MsoNormal>Kind Regards,<o:p></o:p></p>
<p class=MsoNormal>Dentcho<o:p></o:p></p>
<p class=MsoNormal><o:p> </o:p></p>
<p class=MsoNormal>----<o:p></o:p></p>
<p class=MsoNormal>Dentcho A. Genov, PhD<o:p></o:p></p>
<p class=MsoNormal>The LONI Institute Fellow<o:p></o:p></p>
<p class=MsoNormal>Assistant Professor of Physics & Electrical Engineering<o:p></o:p></p>
<p class=MsoNormal>Louisiana Tech University, Engineering Annex, Room 220<o:p></o:p></p>
<p class=MsoNormal>599 W Arizona Ave, Ruston LA 71272<o:p></o:p></p>
<p class=MsoNormal><o:p> </o:p></p>
<p class=MsoNormal>Phone: (318) 257-4190, Fax: (318) 257-2777<o:p></o:p></p>
<p class=MsoNormal>Webpage: http://www.phys.latech.edu/~dgenov/<o:p></o:p></p>
<p class=MsoNormal><o:p> </o:p></p>
<p class=MsoNormal><o:p> </o:p></p>
<p class=MsoNormal><o:p> </o:p></p>
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