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Physical Sciences and Mathematics Commons™
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Full-Text Articles in Physical Sciences and Mathematics
Convergence Analysis Of A Fully Discrete Family Of Iterated Deconvolution Methods For Turbulence Modeling With Time Relaxation, Iuliana Stanculescu, R. Ingram, N Mays, C. C. Manica
Convergence Analysis Of A Fully Discrete Family Of Iterated Deconvolution Methods For Turbulence Modeling With Time Relaxation, Iuliana Stanculescu, R. Ingram, N Mays, C. C. Manica
Mathematics Faculty Articles
We present a general theory for regularization models of the Navier-Stokes equations based on the Leray deconvolution model with a general deconvolution operator designed to fit a few important key properties. We provide examples of this type of operator, such as the (modified) Tikhonov-Lavrentiev and (modified) Iterated Tikhonov-Lavrentiev operators, and study their mathematical properties. An existence theory is derived for the family of models and a rigorous convergence theory is derived for the resulting algorithms. Our theoretical results are supported by numerical testing with the Taylor-Green vortex problem, presented for the special operator cases mentioned above.
Co-Adventurers In Discovery: Collaborative Research Between Undergraduate Students And Faculty, Rajeswari Murugan, Evan Haskell
Co-Adventurers In Discovery: Collaborative Research Between Undergraduate Students And Faculty, Rajeswari Murugan, Evan Haskell
Mathematics Faculty Articles
There are many opportunities available beyond the classroom for undergraduate students to engage in cutting-edge scholarship. Some of the opportunities include study abroad, internships, and independent study. We strongly suggest that students experience such programs. Independent study courses can serve not only to sharpen the student’s engagement skills with the open-ended questions of current research, but also to enhance his or her own relationship with faculty. In this article we share the experiences of a biology student and a mathematics faculty member coming together as co-adventurers learning from each other about the mechanisms and mathematics involved in cardiac arrhythmia through …