Dr. Lili Ju received a research grant from NSF Division of Mathematical Sciences
(DMS-2109633) on “Maximum Bound Principle-Preserving Time Integration Methods for
Some Semilinear Parabolic Equations”. The total amount of the award is $150,000 for
three years.
The project will focus on the algorithms and analysis for a class of equations with
applications in fluids dynamics, solid mechanics, materials science, chemistry, and
cell biology to image and data sciences. Specifically, a class of semilinear parabolic
equations will be considered, and the focus will be on ensuring that the computational
solutions possess particular important properties, called the time-invariant maximum
bound principle (MBP). Such properties are important for the models of grain growth
and coarsening, thin film microstructure, crystal growth, dislocation-solute interactions,
and image restoration and deblurring. The project will design and analyze efficient
and accurate MBP-preserving time integration methods of high-order accuracies. The
project will develop and disseminate software and provide an interdisciplinary training
opportunity for graduate students.
Department of Mathematics
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- Dr. Lili Ju awarded an NSF Award
Dr. Lili Ju awarded an NSF Award
Posted on: May 11, 2021; Updated on: May 11, 2021By Lili Ju, ju@math.sc.edu