IMI Interdisciplinary Mathematics InstituteCollege of Arts and Sciences
News Archives by Year

2015 News Archive

November 30, 2015
Binev publishes article in IMI Preprint Series
Download Preprint

Binev published his article "Tree Approximation for hp-Adaptivity" in the IMI Preprint Series (2015:07). Please see the link above to the full article and visit Preprints to see other articles in this series.

November 18, 2015
Hong Wang is awarded an ARO MURI grant

Hong Wang (IMI) is awarded a 3-year Army Research Office (ARO) Multidisciplinary University Research Initiatives (MURI) Program grant totaling $444,926 (with Brown University as the Prime institution) for his research on: Fractional PDEs for Convservation Laws and Beyond: Theory, Numberics and Applications.

"FPDEs involve non-local operators which, in turn, result in fully populated matrices arising from the discretization using finite element, finite difference and spectral methods. The dense matrices constitute a potential bottleneck in the development of efficient methods for the numerical solution of FPDEs, as corresponding direct solvers usually require O(N^3) computations and O(N^2) memory. Moreover, the solutions to FPDEs may present boundary layers, although they are smooth inside the domain. An effective numerical method discretized on locally refined meshes can preserve the best possible approximation accuracy. Two additional sources of difficulty arise: (i) the effects of elements of very different sizes in the same mesh due to local refinements in the neighborhood of singularities and other local features; and (ii) the unstructured nature of the meshes which are needed to support local mesh refinements. These issues become more severe in the context of FPDEs due to their nonlocal nature.

The USC Team, led by Dr. Hong Wang, will be responsible for tasks associated with Research Area 3 (Fast solvers for dense linear systems with approximately linear computational complexity) as described in the project description submitted by the prime institution. The Team will study and implement efficient preconditioning, domain decomposition, and parallelization techniques by addressing the new challenges arising from the nonlocal operators – including fractional Neumann/Robin boundary conditions – and from highly locally refined meshes. The Team will also investigate the effectiveness of hierarchical H-matrices, a new approach to fast matrix computations."

November 10, 2015
Blanco-Silva publishes second book: Mastering SciPy

Francisco Blanco-Silva's second book: Mastering SciPy (ISBN: 13 9781783984749), has been published. To access the book on the publisher's web page, please visit: https://www.packtpub.com/big-data-and-business-intelligence/mastering-scipy

For a sample chapter, please visit: http://www.slideshare.net/PacktPub/mastering-scipy-sample-chapter

November 02, 2015
Binev is awarded a USC Office of the Provost Visiting Scholars Grant Program grant

Peter Binev (IMI) is awarded a 12-month Office of the Provost Visiting Scholars Grant Program grant totaling $12,931 for his project on: Visiting Scholar: Dr. Zineb Saghi (Interdisciplinary Collaboration in Electron Tomography).

"The idea of this proposal is to consolidate the efforts of mathematicians and specialists in electron microscopy to advance methods and approaches in assessing and understanding tomography data from materials at the nanoscale. The grant will support one-month visit of Dr. Zineb Saghi who has been the electron microscopy specialist in the group of Prof. Paul A. Midgley from Cambridge, England for several years. Midgley’s group is one of the worlds leading groups in the subject of Electron Tomography and their paper [Z. Saghi et al., ‘3D Morphology of Iron Oxide Nanoparticles with Reactive Concave Surfaces – a Compressed Sensing-Electron Tomography (CS-ET) Approach’, Nano Letters 2011, 11(11), 4666] is considered to provide one of the best general approaches to electron tomography reconstruction at the moment."

BACK TO TOP
October 27, 2015
Kerkyacharian, Ogawa, Petrushev and Picard publish article in IMI Preprint Series
Download Preprint

Gerard Kerkyacharian, Shigeyoshi Ogawa, Pencho Petrushev (IMI) and Dominique Picard published their article "Regularity of Gaussian Processes on Dirichlet Spaces" in the IMI Preprint Series (2015:06). Please see the link above to the full article and visit Preprints to see other articles in this series.

BACK TO TOP
September 23, 2015
Griggs and Li publish article in IMI Preprint Series
Download Preprint

Jerrold Griggs and Wei-Tian Li published their article "Progress on Poset-free Families of Subsets" in the IMI Preprint Series (2015:05). Please see the link above to the full article and visit Preprints to see other articles in this series.

BACK TO TOP
September 22, 2015
Griggs and Li publish article in IMI Preprint Series
Download Preprint

Jerrold Griggs and Wei-Tian Li published their article "Poset-free Families and Lubell-boundedness" in the IMI Preprint Series (2015:04). Please see the link above to the full article and visit Preprints to see other articles in this series.

BACK TO TOP
September 21, 2015
Deliyski named new CSD Chair and MSU Foundation Professor

IMI Associate Member, Dimitar Deliyski, was recently named Chair of the Department of Communicative Sciences and Disorders and awarded the designation of MSU Foundation Professor in the College of Communication Arts and Sciences, Michigan State University. For more information, please visit: http://cas.msu.edu/tag/dimitar-deliyski/

BACK TO TOP
September 14, 2015
DeVore receives Honorary Doctorate of Science from USC
Download Commencement Exercises

During the August 2015 commencement ceremony, the university conferred an Honorary Doctorate of Science to Ronald A. DeVore, a faculty member in the Mathematics Department. Professor DeVore is currently the Robert L. Sumwalt Distinguished Professor Emeritus of Mathematics and former director of the IMI. Please visit this special announcement for more details.

BACK TO TOP
September 11, 2015
Qi Wang is awarded a National Science Foundation grant

Qi Wang (IMI) is awarded a 3-year National Science Foundation (NSF) grant totaling $174,300 for his research on: Collaborative Research: Kinetic to Continuum Modeling of Active Anisotropic Fluids.

"In viscoelastic fluids, in stark contrast to viscous fluids, an outstanding open problem is the lack of rigorous foundation for, and agreement about, the governing model equations. The obstruction is that the microstructure of a viscoelastic fluid is arbitrarily diverse across biology and engineered materials, whereas the specifics of the microstructure determine the time and length scales of viscous and elastic behavior, and the microstructure response to forcing frequency, flow type and rate. A high premium is therefore placed on modeling, and especially on identification of classes of viscoelastic fluids for which the governing equations can be settled, so the focus can shift to the interplay between experiment, theory, and computation. Here the PIs propose a class of viscoelastic fluids, active, anisotropic fluids (AAFs), unifying three apparently diverse fluid systems (catalytic nanorod dispersions, swimming bacterial suspensions, and motor-driven actin filament gels) for which models, analysis, algorithms, and simulations have so far evolved independently. The PIs propose: to develop a rigorous modeling foundation that spans kinetic to continuum scales; to identify the common, leading-order mathematical structure at scale for all AAFs, and the lower-order structure that distinguishes among activation mechanisms and microstructural details; and, to illustrate the impact of these results for active nanorod dispersions and actin filament gels in both confined and free surface flows through new numerical algorithms and kinetic-to-continuum simulations."

BACK TO TOP
August 04, 2015
Ju is awarded a National Science Foundation grant

Lili Ju (IMI) is awarded a 3-year National Science Foundation (NSF) grant totaling $200,954 for his research on: Fast and Stable Compact Exponential Time Difference Based Methods for Some Parabolic Equations.

"This project focuses on design, analysis and implementation of fast, stable and accurate compact exponential time difference (ETD) based methods for some family of parabolic equations imposed with various boundary conditions in a rectangular domain. Such methods can utilize compact representation of high-order difference or spectral approximations for spatial discretization, multistep or Runge-Kutta approximations for accurate exponential time integration of boundary and stiff nonlinear terms, linear splitting schemes to effectively enhance stability, and Fast Fourier Transformation (FFT) based fast calculations to greatly reduce the computational costs. Our past work on fast and stabilized compact ETD methods for a family of parabolic equations of second and fourth orders has demonstrated great potential of these methods. In this project, the PI will numerically and theoretically investigate several further improvements in accuracy and efficiency of these compact methods in both space and time, and then analyze energy stability and perform error analysis of the stabilized ETD schemes, and finally generalize and apply these methods to some problems arising from models of biological and physical phenomena such as the phase filed bending energy model for cell membrane and the molecular mean epitaxy model for thin film growth."

BACK TO TOP
August 04, 2015
Zhu Wang is awarded a National Science Foundation grant

Zhu Wang (IMI) is awarded a 3-year National Science Foundation (NSF) grant totaling $111,258 for his research on: Collaborative Research: Reduced Order Modeling of Realistic Noisy Flows.

"This proposal puts forth a unified, consistent ROM framework for the modeling, analysis and simulation of realistic noisy flows. It employs spatial filtering to lay foundations for regularized ROMs and LES ROMs, and it develops stable, accurate and efficient ROMs for inherently noisy data from numerical simulation of realistic flows in engineering, geophysics and medicine."

BACK TO TOP
July 13, 2015
Qi Wang presents keynote lecture at the 4th International Conference on Computational & Mathematical Biomedical Engineering

Qi Wang presented a keynote lecture at the 4th International Conference on Computational & Mathematical Biomedical Engineering held in Cachan, France, from June 29 - July 1, 2015. His lecture on Modeling active liquid crystal solutions and gels with applications to complex biological systems was presented on June 30th. To see the abstract for this and other invited talks, please visit: http://www.compbiomed.net/2015/invited-speakers.htm . For more information on the conference please visit: http://www.compbiomed.net/2015/index.htm .

BACK TO TOP
June 30, 2015
Czabarka and Szekely give talks in Slovenia and Hungary

In the first week of June 2015, Eva Czabarka and Laszlo Szekely visited Maribor University in Slovenia, where they made several seminar presentations. This was followed by a visit to Szeged University in Hungary later in the month where they also gave several talks.

BACK TO TOP
June 30, 2015
Czabarka invited to speak at the 29th Midwestern Conference on Combinatorics & Combinatorial Computing

Eva Czabarka is one of six invited speakers at the 29th Midwestern Conference on Combinatorics & Combinatorial Computing, hosted by the College of Charleston and The Citadel, on October 17 - 19, 2015. Presentations "cover a spectrum of pure and applied combinatorics, including graph theory, design theory, enumeration, and combinatorial computing. These are general-purpose combinatorics meetings with some emphasis on computer applications which have attracted scholars from many parts of the United States, Canada, and overseas." For more information and to register, please visit: https://sites.google.com/a/cofc.edu/mcccc-2015/

BACK TO TOP
June 26, 2015
Lind and Petrushev publish article in IMI Preprint Series
Download Original Article

Martin Lind and Pencho Petrushev published their article "Nonlinear Nonnested 2-D Spline Approximation" in the IMI Preprint Series (2015:03). Please see the link above to the full article and visit Preprints to see other articles in this series.

BACK TO TOP
May 05, 2015
Sanders publishes article in IMI Preprint Series
Download Original Article

Sanders published his article "Discrete Iterative Partial Segmentation Technique (DIPS) for Tomographic Reconstruction" in the IMI Preprint Series (2015:02). Please see the link above to the full article and visit Preprints to see other articles in this series.

BACK TO TOP
April 28, 2015
Zhu Wang is awarded an Office of the Vice President for Research ASPIRE-I grant

Zhu Wang (IMI) is awarded a 15-month Office of the Vice President for Research ASPIRE-I grant totaling $13,989 for his research on: Reduced Order Modeling of Complex Fluid Flows.

"The main goal of the proposal is to transform POD into a viable computational tool for realistic complex flows in engineering and scientific applications. We propose a novel model reduction strategy, which includes three main featured components: (1) accurate closure modeling; (2) efficient nonlinear model reduction; and (3) parallel computing of POD-ROMs."

BACK TO TOP
March 31, 2015
Filaseta is awarded a National Security Agency grant

Michael Filaseta (IMI) is awarded a 12-month National Security Agency (NSA) grant totaling $14,105 for his research on: Polynomial Research in Number Theory.

"This proposal focuses on research investigations largely associated with the irreducibility and factorization of polynomials but also with connections to problems in Diophantine analysis and analytic number theory. The intent of the proposal is to foster graduate student research, and this is emphasized by the proposer in part by requesting funding directly related to supporting his students."

BACK TO TOP
March 04, 2015
Linyuan Lu and Éva Czabarka are awarded a National Science Foundation grant

Linyuan Lu and Éva Czabarka (IMI) are awarded a 1-year NSF grant totaling $15,000 for their project: Twenty-Eighth Cumberland Conference on Combinatorics, Graph Theory, and Computing .

"Funds will support travel, meal, and lodging expenses as well as honoraria for the four principal speakers. Funds will also support travel and lodging expenses for those participants without federal support, and for students and attendees from traditionally underrepresented groups."

For more details on the conference, please visit: http://imi.cas.sc.edu/events/cumberland/

BACK TO TOP
March 02, 2015
28th Cumberland Conference on Combinatorics, Graph Theory & Computing

The Cumberland Conference on Combinatorics, Graph Theory, and Computing is an annual conference that brings together internationally known researchers, industrial mathematicians and computer scientists, and southeastern university and college professors, post-docs, graduate and undergraduate students, to discuss the latest advances in discrete mathematics and computer science. Each year, a different university in the Cumberland region hosts the conference. This year, the University of South Carolina is pleased to host the Twenty-Eighth Cumberland Conference, dedicated to László Székely's 60th Birthday, on its Columbia campus, from May 15 – 17, 2015. For more information, please go to our 28th Cumberland Conference homepage.

BACK TO TOP
January 28, 2015
Greg Wilsbacher and Pencho Petrushev are awarded a National Endowment for the Humanities grant

Greg Wilsbacher (University Libraries) and Pencho Petrushev (IMI) are awarded a two year National Endowment for the Humanities grant totaling $222,146 for their research on: AEO-Light 2.0: An Open Source Application for Image-Based Digital Reproduction of Optical Film Sound.

This funding will support the second-phase development of the AEO-Light optical sound extraction software, an open-source tool that enables the digital preservation of optical sound motion pictures. "Adoption of AEO-Light as a preservation standard would carry with it long-term benefits for digital preservation. Because AEO-Light requires film scans to include the optical sound track along with the image frame, the digital record of the optical sound track can be preserved in TIF or DPX form along with the film image itself. Not only would this safeguard the material history of optical film production for future scholars, it would also guarantee that audio could be extracted even in the event of corruption or loss of the preservation audio (.wav) file."

This funding is part of the latest round of NEH grant awards (and the only one awarded in South Carolina). "NEH grants play a critical role in making the insights afforded by the humanities available to all to help us better understand ourselves, our culture, our society," said NEH Chairman William Adams. For more information, visit: http://www.neh.gov/news/press-release/2014-12-08

BACK TO TOP
January 22, 2015
Taylor Short awarded a SPARC Graduate Research Grant

The Office of the Vice President for Research awarded a SPARC Graduate Student Research Grant to Taylor Short (advisor: Laszlo Szekely) to conduct research on chemical graph theory in Croatia. Short was one of 48 graduate students from 11 academic units who worked with his faculty advisor to prepare and submit a competitive proposal, earning valuable grant-writing experience, as well as funds to support his research and scholarly project.

BACK TO TOP
January 20, 2015
Ivanov and Petrushev publish article in IMI Preprint Series
Download Preprint

Kamen Ivanov and Pencho Petrushev published their article "Highly Effective Stable Evaluation of Bandlimited Functions on the Sphere" in the IMI Preprint Series (2015:01). Please see the link above to the full article and visit Preprints to see other articles in this series.

BACK TO TOP
January 13, 2015
Qi Wang and Yi Sun are awarded a SC EPSCoR/IDeA/NSF grant

Qi Wang and Yi Sun (IMI) are awarded a 15-month SC EPSCoR/IDeA/NSF grant totaling $27,000 for their research on: A 3D Hybrid Discrete-Continuum Model for Cellular Aggregate Fusion.

"The main objective of the project is to develop an experimentally guided modeling and computational approach integrating various proteins with the mechanical polarization to extend DAH. We employ typically coarse-grained continuum models (reaction or reaction-diffusion systems) to describe dynamics of the molecules governing cell adhesion, actomyosin activities, and nutrient substances, and couple a discrete (agent-based) multicellular lattice model based on our previous work for cell movement in this study. The computational approach based on this model gives us an opportunity to simulate the biological processes with multiple parameters over a broad range of values."

BACK TO TOP
© Interdisciplinary Mathematics Institute | The University of South Carolina Board of Trustees | Webmaster
USC