B.S., 1991-1996, Mathematics, University of Michigan - Dearborn
B.S., 1991-1996, Engineering Mathematics, University of Michigan - Dearborn
B.S., 1991-1996, Electrical and Computer Engineering, University of Michigan - Dearborn
M.S., 1996-1998, Applied Mathematics, University of Wisconsin - Madison
Ph.D., 1998-2001, Mathematics, University of Wisconsin – Madison
Andrew Christlieb received his Ph.D. from the University of Wisconsin-Madison in 2001. Upon completing his Ph.D., he took a postdoc in the Aerospace Department at the University of Michigan with Iain Boyd, working on the simulation of micro air foils. He then transitioned to a postdoc in the Mathematics Department at the University of Michigan, where he worked with Robert Krasny on the development of mesh-free methods for plasma simulations. Since 2004, he has worked very closely with the RDHE group at the Air Force research labs on the development of new methods for particle simulations of plasmas. In 2006, Christlieb joined the mathematics department at Michigan State University. In 2006, he was awarded a summer faculty fellow from the Air Force to work with AFRL Edwards on modeling of electric pupation. In 2007, he received the Air Force Young Investigator Award for his work on the development of novel methods for simulating plasmas. From 2008-2012, Christlieb was an IPA for the directed energy group at Kirtland Air Force Base. In 2010, he was promoted to associate professor and in 2014 he was promoted to professor. In 2015, he was named an MSU Foundation Professor.
Christlieb has an active research group, focusing on multi-scale modeling, high order numerical methods and sub-linear lossy compression algorithms. He is currently advising 2 postdocs and 6 students. His former Ph.D. students have gone on to work at national labs, industry and in academia. He has been involved in the development of a host of high order Eulerian, Lagrangian and semi-Lagrangian conservative methods for the kinetic simulation of plasmas, as well as the development of high order finite difference constrained transport methods for the simulation of magnetohydrodynamics targeted at AMR codes and new implicit Maxwell solvers targeting scale separation in plasmas. Further, his group has done work on high order gradient stable methods for phase field models, including the 6th order functionalized Cahn Hilliard model. Christlieb's group has been funded by AFOSR Computational Mathematics, AFOSR Physics and Electronics, AFRL RDHE, NSF Division of Mathematics and ORNL LDRD on scalable computing.
• Fast convolution methods
• Multi-scale modeling
• High order numerical methods
• Weighted essentially non-oscillatory methods
• Defect correction methods
• Kinetic theory
• Plasmas science
• Energy materials and phase filed models
Scientific Leader: Dr. Andrew Christlieb
There are three categories of applications our group considers. The first is related to modeling complex multi physics problems in plasma science. The second area we work on is the development of methods that are aimed at solving interface problems in polymer membranes; think fuel cells, solar cells and batteries. The third area we work on is the development of ultra fast methods (sub-linear methods) for identification of sparse signals.
We are working on developing a new class of implicit methods that avoids matrix inversion. The method is based on expanding operators with a method we developed based on successive convolution and fast kernel tricks. The base scheme is as fast as an explicit operator, but A-stable. We are working on expanding this methods to a range of Partial Differential Equations. Successful applicants working with Professor Christlieb will have a strong background in numerical analysis and scientific computing. http://www.the-christlieb-group.org
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