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2017 News Archive

March 17, 2017
Francisco Blanco-Silva participates in USC's Out-to-Lunch Program
Download USC Times March 2017 Interview

Francisco Blanco-Silva was recently interviewed for the March 2017 issue of the USC Times. The article, "Out to Lunch - No Business at Lunch," features, among others, Blanco-Silva, an instructor of mathematics and member of IMI. Blanco-Silva participated in the USC Out-to-Lunch Program with Lyndsey Reynolds, a sophomore psychology major. The Program is designed to promote faculty and undergraduate student interaction outside the classroom. For more information about the program visit: http://www.sc.edu/success/outtolunch.html

March 14, 2017
Cooper on WACH FOX 57!

On Pi day, March 14th, Joshua Cooper represented the University of South Carolina on "Good Day Columbia," a local TV morning show on WACH FOX 57. To see the recorded segment, please visit: http://wach.com/news/local/fun-pi-day-activity-with-a-soccer-ball

March 09, 2017
Hong Wang is awarded an ARO MURI supplement grant

Hong Wang (IMI) is awarded an Army Research Office (ARO) Multidisciplinary University Research Initiatives (MURI) supplement grant totaling $71,963 (with Brown University as the prime institution) for his research on: Fractional PDEs for Conservation Laws and Beyond: Theory, Numerics and Applications.

"Fractional PDEs provide significantly improved modeling and simulation capabilities of complex phenomena. However, it is found recently that numerical approximations to FPDEs often exhibit poor accuracy and artifacts near the boundary of the domain, which in turn pollute the numerical solutions in the interior domain. This phenomenon is in sharp contrast to their integer-order analogues and significantly compromises the great potential of FPDE models. Mathematical analysis reveals that the fundamental reason is that the solutions to FPDEs boundary layers for certain fractional orders.

The USC Team, led by Dr. Hong Wang, will be responsible for conducting rigorous mathematical analysis on adaptively determining the variable-order of the FPDEs near the boundary, to ensure the solutions to the resulting FPDEs to have the same or compatible regularity near the boundary as in the interior domain. This would minimize or eliminate the boundary layer behavior of the solutions, so the FPDEs and their numerical approximations will behave like their integer-order counterparts and minimize or eliminate the numerical artifacts of the FPDE approximations."

February 07, 2017
Boyce, DiPrima and Meade Publish Two Books on Elementary Differential Equations

As part of its series of books on Differential Equations, Wiley has published the books "Elementary Differential Equations, Enhanced eText, 11th Edition" (ISBN-978-1-119-32063-0) and "Elementary Differential Equations and Boundary Value Problems, Enhanced eText, 11th Edition" (ISBN-978-1-119-38164-8), both by William E. Boyce, Richard C. DiPrima, and Douglas B. Meade (IMI).

Both books are "written from the viewpoint of the applied mathematician, whose interest in differential equations may sometimes be quite theoretical, sometimes intensely practical, and often somewhere in between. The authors have sought to combine a sound and accurate (but not abstract) exposition of the elementary theory of differential equations with considerable material on methods of solution, analysis, and approximation that have proved useful in a wide variety of applications. While the general structure of the book remains unchanged, some notable changes have been made to improve the clarity and readability of basic material about differential equations and their applications.

In addition to expanded explanations, the 11th edition includes new problems, updated figures and examples to help motivate students. The program is primarily intended for undergraduate students of mathematics, science, or engineering, who typically take a course on differential equations during their first or second year of study. The main prerequisite for engaging with the program is a working knowledge of calculus, gained from a normal two‐ or three‐ semester course sequence or its equivalent. Some familiarity with matrices will also be helpful in the chapters on systems of differential equations."

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January 09, 2017
Binev et al. publish paper in the SIAM/ASA Journal on Uncertainty Quantification

Peter Binev (IMI), A. Cohen, W. Dahmen (IMI), R. DeVore (IMI), G. Petrova, and P. Wojtaszczyk published their paper "Data assimilation in reduced modeling" online in the SIAM/ASA Journal on Uncertainty Quantification (Vol. 5, Issue 1, 2017, pp. 1-29, DOI:10.1137/15M1025384). For details, please visit: http://epubs.siam.org/doi/10.1137/15M1025384

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