Rick Barnard
Office
Location
BH 184B
Hours
Students in my courses: Please use the Canvas calendar to make an appointment for meeting during office hours.
All others: Please email me to make an appointment as needed.
Research Interests:
I am interested in applied mathematics and optimization. Usually this gets focused in kinetic models in a variety of applications, numerical simulation of partial differential equations, image processing, and optimization in control systems. Applications have in the past focused on compressing experimental data, modeling extreme scale computers, designing radiotherapy plans, and improving neutron-based tomography.
Recent Publications
- Barnard, R., Huang, K., Hauck, C. ``A mathematical model of asynchronous data flow in parallel computers''. IMA Journal of APplied Mathematics. https://doi.org/10.1093/imamat/hxaa031
- Holler, G., Kunisch, K., Barnard, R. ``A Bilevel Approach for Parameter Learning in Inverse Problems". Inverse Problems. 34(11). https://doi.org/10.1088/1361-6420/aade77
- Barnard, R., Toops, T., Nafziger, E., Finney, C., Splitter, D., Bilheux, H., Archibald R.``Total Variation-based Neutron Computed Tomography''. Review of Scientific Instruments, 89. http://aip.scitation.org/doi/10.1063/1.5037341
- Zhu, W., Wang, B., Barnard, R., Hauck, C., Jenko, F., Osher, S., "Scientific Data Interpolation with Low Dimensional Manifold Model". Journal of Computational Physics, 352. https://doi.org/10.1016/j.jcp.2017.09.048
- Barnard, R., Clason, C. ``L^1 penalization of volumetric dose objectives in optimal control of PDEs''. Computational Optimization and Applications, 67(2), 2017. http://link.springer.com/article/10.1007%2Fs10589-017-9897-6
- Barnard, R., Frank, M., Krycki, K., ``Sensitivity analysis for dose deposition in radiotherapy via a Fokker-Planck model.'' Mathematical Medicine and Biology. 34(1),https://academic.oup.com/imammb/article/34/1/109/2885288