Completed Grants
Title  Agency  Grant No.  USC Acct. No.  Award Amount  Start Date  End Date  LeadPI  CoPIs 

Estimating the Number of Lattice Points Close to A Curve  National Science Foundation (NSF)  DMS9970455  13060F113  $59,955  07/01/99  06/30/02  Trifonov, Ognian  
Image Processing for Digital Terrain Elevation Data  Office of Naval Research (ONR)/DOD  N000140010470  13060F115  $449,997  04/01/00  03/31/03  DeVore, Ronald A. 
R. Sharpley 
Combinatorics with Applications  National Science Foundation (NSF)  INT0072187  13060F117  $165,000  07/01/00  06/30/02  Griggs, Jerrold R. 
L. Székely 
Theory and Applications of Multigrid and Domain Decomposition Methods  National Science Foundation (NSF)  DMS0074246  13060F118  $115,628  05/16/00  02/29/04  Brenner, Sue  
Collaborative Research: Compression of Geometry Datasets  National Science Foundation (NSF)  221642  13060FA02  $225,000  05/01/02  04/30/05  DeVore, Ronald A.  
Mathematical Analysis for Data and Image Processing  US Army Research Office (ARO)/DOD  DAAD190210028  13060FA03  $210,001  03/01/02  12/31/04  DeVore, Ronald A.  
On the Factorization of Lacunary Polynomials  National Science Foundation (NSF)  207302  13060FA05  $151,151  06/15/02  05/31/06  Filaseta, Michael 
D. Meade 
Greedy Approximation  National Science Foundation (NSF)  200187  13060FA06  $103,500  07/01/02  06/30/05  Temlyakov, Vladimir  
Analysis and Numerical Algorithms for Data Processing and Fast Solution of PDEs  Office of Naval Research (ONR)/DOD  N000140310051  13060FA07  $954,001  10/01/02  09/30/08  DeVore, Ronald A.  
Compression of Large Data Sets with Geometry  Office of Naval Research (ONR)/DOD  N000140310675  13060FA08  $500,000  06/01/03  05/31/07  DeVore, Ronald A. 
R. Sharpley 
Lattice Points, the Gauss Circle, the Riemann ZetaFunction  National Science Foundation (NSF)  303132  13060FA10  $56,266  07/01/03  06/30/07  Trifonov, Ognian 
A. Schep 
Highly Nonlinear Approximation: Theory & Algorithms  National Science Foundation (NSF)  DMS0200665  13060FA11  $60,000  08/15/02  07/31/05  Petrushev, Pencho  
Combinatorics with Applications  National Science Foundation (NSF)  DMS0302307  13060FA13  $210,601  07/15/03  06/30/07  Griggs, Jerrold R.  
Theory and Applications of Multigrid  National Science Foundation (NSF)  DMS0311790  13060FA14  $141,926  09/01/03  10/31/07  Brenner, Sue  
Multiresolution Methods for VisionBased Guidance, Navigation and Control  University of Florida/USAF/DOD  UFEIES0302005USC  13060FA15  $600,000  06/15/03  01/14/08  Sharpley, Robert C.  
Harmonic, NumberTheoretic, and PDE Analysis of Talbot's Phenomenon  National Science Foundation (NSF)  410012  13060FA16  $133,002  07/01/04  06/30/08  Oskolkov, Konstantin I.  
FRG: Collaborative Research: Algorithms for Sparse Data Representations  National Science Foundation (NSF)  DMS354707  13060FA17  $189,000  09/15/04  08/31/08  DeVore, Ronald A.  
Smooth PiecewisePolynomial Terrain Representation Using Nontraditional Metrics  Schafer Corporation/ARO  SC04H3101  13060FA18  $45,000  07/27/04  01/31/05  DeVore, Ronald A. 
R. Sharpley 
Factoring Lacunary Polynomials and Galois Groups of Laguerre Polynomials  National Security Agency (NSA)  H982300510038  13060FA20  $94,762  11/09/04  05/08/07  Filaseta, Michael 
D. Meade 
Highly Effective Geospatial Representation and Analysis  Defense Advanced Research Projects Agency (DARPA)/DSO/DOD  HM15820520001  13060FA21  $461,374  03/24/05  02/23/07  DeVore, Ronald A. 
R. Sharpley 
Advanced Mathematical Methods for Processing Large Data Sets  US Army Research, Development & Engineering Command Acquisition Center/DOD  W911NF0510227  13060FA23  $259,982  06/01/05  08/31/08  DeVore, Ronald A. 
P. Binev R. Sharpley 
Nonlinear Methods for Supervised Learning: Defense Applications  DEPSCoR/DOD  N000140510715  13060FA24  $700,000  06/01/05  08/31/08  DeVore, Ronald A.  
Some Problems in Number Theory  National Science Foundation (NSF)  601033  13060FA25  $91,282  06/01/06  12/10/06  Yu, Gang  
Greedy Approximations with Expansions  National Science Foundation (NSF)  DMS0554832  13060FA26  $116,917  06/01/06  08/31/09  Temlyakov, Vladimir  
Phylogenetic Analysis with Complex Genome Rearrangement Events  National Institutes of Health (NIH)  1R01GM07899101  13060FA29  $157,332  06/01/06  05/31/09  Székely, László  
Some Problems on Analyses and Applications of Centroidal Voronoi  National Science Foundation (NSF)  609575  13060FA32  $122,781  08/01/06  07/31/09  Ju, Lili  
Software for Generating Geometrically and Topologically Accurate Urban Terrain Models Using Implicit Methods (Phase I  STTR)  Radiance Technologies, Inc./US Army  06S1483  13060FA33  $46,999  08/09/06  02/08/08  Sharpley, Robert C. 
R. DeVore 
Model Classes, Approximation, and Metrics for Dynamic Processing of Urban Terrain Data  US Army Reasearch Office (ARO)  W911NF0710185  13060FA35  $5,000,000  05/01/07  01/31/13  Sharpley, Robert C. 
P. Binev 
Capturing Sparsity In High Dimensional Data  DEPSCoR/ONR  N000140710978  13060FA36  $500,000  05/10/07  11/30/10  DeVore, Ronald A. 
P. Binev W. Dahmen 
Extremal and Probabilistic Combinatorics  National Science Foundation (NSF)  DMS0701111  13060FA37  $104,118  08/01/07  07/31/11  Székely, László 
L. Lu 
Highly Effective Representations for Surface and Solid Spherical Studies  National Science Foundation (NSF)  DMS0709046  13060FA39  $143,907  07/15/07  09/30/10  Petrushev, Pencho  
New Grid and Discretization Technologies for Ocean and Ice Simulations  US Department of Energy (DOE)  DEFG0207ER64431  13060FA40  $236,871  07/15/07  07/14/11  Ju, Lili  
SuperResolution of Infrared Imagery from Video  Radiance Technologies, Inc./US Army  07S1356  13060FA41  $37,995  05/04/07  10/31/07  Sharpley, Robert C. 
P. Binev 
CMG COLLABORATIVE RESEARCH: Development of New Statistical Learning Theory and Techniques for Improvement of Convection Parameterization in Climate Models  National Science Foundation (NSF)  DMS0721621  13060FA42  $120,000  10/01/07  09/30/10  DeVore, Ronald A. 
P. Binev 
Highly Effective Geospatial Representation and Analysis  PHASE I  US Department of Defense (DOD)  HM15820723036  13060FA43  $271,385  10/10/07  10/09/09  Petrushev, Pencho  
Phase II (STTR)  Software for Generating Geometrically and Topologically Accurate Urban Terrain Models Using Implicit Methods  Radiance Technologies, Inc./US Army  08S0152  13060FA47  $300,000  05/19/08  03/06/10  Sharpley, Robert C. 
P. Binev R. DeVore 
Collaborative Proposal: Maplets for Calculus  National Science Foundation (NSF)  DUE0737209  13060FA48  $76,833  06/15/08  05/31/12  Meade, Douglas 
D. Geddings 
Standards, Software and Hardware for Multiresolution Maps/Models for UAST in the Absence of A Priori World Models  Virginia Polytechnic Institute and State University/(ACA)/White Sands Directorate (WSMR DOC)  CR19545430330  13060FA51  $130,485  06/11/08  07/31/11  Sharpley, Robert C.  
Phase I SBIR: Innovative Micro Air Vehicles & Control Techniques for Urban Environments  Radiance Technologies, Inc./DOD  08S1381  13060FA52  $10,000  05/27/08  12/24/08  Sharpley, Robert C.  
An Integrated Approach to Modeling and Simulations of Complex Fluids of Microstructures  National Science Foundation (NSF)  DMS0853005  13060FA53  $137,458  09/20/08  08/31/10  Wang, Qi  
Collaborative Research: Investigating BacteriaSurface Interactions by Surface Engineering and Mathematical Modeling  National Science Foundation (NSF)  CMMI0849317  13060FA54  $99,999  08/16/08  07/31/12  Wang, Qi  
Experimental Program to Stimulate Competitive Research & Instiutional Development (RII)  SC Research Authority/EPSCoR/NSF  Task Order 0041  13060FA55  $225,670  09/01/08  06/30/09  Sharpley, Robert C.  
MSPAMSC: Datadriven Parallelization of Time in Molecular Dynamics Simulations  Florida State University/NSF  R01082  13060FA57  $87,856  12/01/08  08/31/10  Wang, Qi  
Collaborative Research on Mathematical Constructs for Multiphase Complex Fluids  National Science Foundation (NSF)  908330  13060FA59  $175,882  07/01/09  06/30/13  Wang, Qi  
Phase II SBIR: Innovative Micro Air Vehicles & Control Techniques for Urban Environments  Radiance Technologies, Inc./DOD  09S1343  13060FA60  $187,500  05/20/09  11/22/11  Sharpley, Robert C.  
Collaborative Research: An ATD Proposal: Fast Point Cloud Surface Reconstruction Algorithms  National Science Foundation (NSF)  DMS0915104  13060FA61  $450,001  09/01/09  08/31/12  Sharpley, Robert C. 
P. Binev W. Dahmen 
Study on Algorithms and Applications of Centroidal Voronoi Tessellations  National Science Foundation (NSF)  913491  13060FA63  $180,000  09/01/09  08/31/12  Ju, Lili  
Application of Greedy Approximations in Numerical Integration and Learning Theory  National Science Foundation (NSF)  906260  13060FA64  $196,567  09/15/09  08/31/12  Temlyakov, Vladimir  
CMG Collaborative Research  Geological Storage of Carbon Dioxide (CO2): New Simulation Approaches for Largescale Modeling and Leakage Estimation  National Science Foundation (NSF)  0934747  13060FA65  $300,000  10/01/09  09/30/13  Wang, Hong 
V. Temlyakov 
Computational Foundation for Investigations in Capturing Sparsity in Very High Dimensions  Office of Naval Research (ONR)  N000140810996  13060FQ02  $111,624  05/04/08  08/31/09  DeVore, Ronald A. 
P. Binev R. Sharpley 
Nonlinear Methods for Supervised Learning: Defense Applications  State Match for 13060FA24  SC EPSCoR Program  H27 115  13060GA05  $72,734  07/01/05  06/30/06  DeVore, Ronald A.  
State Matching Funds for 13060FA36 (Capturing Sparsity In High Dimensional Data)  SC EPSCoR Program  H27 146  13060GA07  $42,089  07/01/07  06/30/08  DeVore, Ronald A.  
State Match for 13060FA36 (Capturing Sparsity In High Dimensional Data)  SC EPSCoR  H27 163  13060GA09  $55,510  07/01/08  06/30/09  DeVore, Ronald A. 
W. Dahmen 
Experimental Program to Stimulate Competitive Research & Instiutional Development (RII) (State Match for 13060FA55)  SC EPSCoR/IDEA  H27166  13060GA10  $37,459  07/01/08  06/30/09  Wang, Qi  
Capturing Sparsity In High Dimensional Data (State Matching account for 13060FA36)  SC EPSCCoR  H27 180  13060GA11  $7,112  07/01/09  08/31/10  DeVore, Ronald A. 
W. Dahmen 
Efficient modeling and numerical algorithm developments for multiphase complex fluid systems  SC Research Foundation / VPR Office  21400A100  $14,924  04/01/12  08/31/13  Yang, Xiaofeng  
Summer School on Network Science at USC  Office of the Provost, USC  21400A101  $21,949  09/01/12  06/30/13  Székely, László 
L. Lu Q. Wang 

Visiting Scholar: Dr. Zineb Saghi (Interdisciplinary Collaboration in Electron Tomography)  USC Provost Office  21400A102  $12,931  11/17/15  10/31/16  Binev, Peter G.  
Mathematical modeling and computational studies for proliferation kinetics of tumor growth.  SC Research Foundation  21400E100  $15,000  05/16/13  09/15/14  Liu, Xinfeng  
Mathematical Modeling of Plant Responses to Multiple Stress Signals  SC Research Foundation  21400E101  $15,000  05/15/14  09/15/16  Vasquez, Paula 
J. Stratmann 

Reduced Order Modeling of Complex Fluid Flows  SC Research Foundation  21400E102  $13,989  05/16/15  08/15/16  Wang, Zhu  
Modeling, algorithm developments and simulations for twophase ferrofluid flows  USC VP for Research  21400E103  $15,000  07/01/18  09/30/19  Yang, Xiaofeng  
Extremal and Probabilistic Combinatorics II  National Science Foundation (NSF)  DMS1000475  21400FA00  $175,930  07/01/10  06/30/13  Székely, László 
L. Lu 
Thermal Control of FlowProcessing in RigidRod NanoComposites.  Univ of North Carolina at Chapell Hill/US Army/DOD  536929  21400FA01  $75,125  06/15/10  07/31/12  Yang, Xiaofeng  
Mathematical Modeling and Computational Studies for Cell Signaling  National Science Foundation (NSF)  1019544  21400FA03  $125,445  09/01/10  08/31/14  Liu, Xinfeng  
Collaborative Research: STEM Real World Applications of Mathematics  National Science Foundation (NSF)  1020692  21400FA04  $87,999  10/01/10  09/30/13  Lu, Linyuan Lincoln 
J. Cooper 
Velocity Computation from Endoscopic Images of Throat Clearing, Coughing, and Alternative Behaviors  Medical University of South Carolina (MUSC)/NIH/NIDCD  MUSC10061  21400FA05  $15,297  10/01/10  12/31/12  Deliyski, Dimitar 
P. Petrushev 
Collaborative Research: Maplets for Calculus (M4C)  National Science Foundation (NSF)  DUE1123170  21400FA07  $205,585  09/01/11  08/31/16  Meade, Douglas 
E. Dickey 
Polynomial Problems in Analytic Number Theory  National Security Agency (NSA)  H982301210240  21400FA08  $42,753  01/11/12  07/09/14  Filaseta, Michael  
Multiscale Mathematics for NanoParticleEndowed Active Membranes and Films  AFOSR / DOD  FA95501210178  21400FA09  $810,001  05/01/12  04/30/16  Wang, Qi 
X. Yang 
Greedy Approximation in Banach Spaces and Compressed Sensing  National Science Foundation (NSF)  DMS1160841  21400FA10  $211,452  07/01/12  06/30/15  Temlyakov, Vladimir  
Representation and Approximation of Functions in Nonclassical and Anisotropic Settings with Applications  National Science Foundation (NSF)  DMS1211528  21400FA11  $170,011  06/01/12  05/31/16  Petrushev, Pencho  
Predicting Ice Sheet and Climate Evolution at Extreme Scales (PISCEES)  DOE/ Los Alamos National Lab  19185  21400FA12  $348,420  06/15/12  06/14/17  Ju, Lili  
EnsembleBased Modeling of Large Graphs and Its Applications to Social Networks  Notre Dame / DARPA  ND202016  21400FA13  $351,198  08/01/12  04/30/15  Székely, László 
É. Czabarka 
Numerical Improvements, Mesh Adaptation and Parameter Identification for Parallel Finite Element Stokes Ice Sheet Modeling  National Science Foundation (NSF)  DMS1215659  21400FA14  $157,618  08/01/12  07/31/15  Ju, Lili  
Highly Effective Compression and Evaluation of Geodetic Quantities  National GeospatialIntelligence Agency (NGA)/DOD  HM01771210004  21400FA15  $750,000  08/15/12  08/14/17  Petrushev, Pencho  
Development and Analysis of Fast Numerical Methods for Fractional Diffusion and AdvectionDiffusion Equations  National Science Foundation (NSF)  DMS1216923  21400FA16  $240,000  09/01/12  08/31/16  Wang, Hong  
ATD Collaborative Research: Theory and Algorithms for High Dimensional Learning  National Science Foundation (NSF)  DMS1222390  21400FA17  $300,000  09/01/12  08/31/16  Binev, Peter G. 
J. Ebalunode W. Dahmen 
Collaborative Research: Experimentally Guided Mathematics for the Mechanochemistry of Cell Shape Dynamics  National Science Foundation (NSF)  DMS1200487  21400FA18  $591,213  09/15/12  08/31/17  Wang, Qi 
X. Yang 
In Silico Analysis of Multicellular Aggregate Fusion Using Field and AgentBased Models  SC EPSCoR/IDeA Program (GEAR)  21400FA19  $50,000  10/01/12  06/30/13  Wang, Qi 
X. Liu Y. Sun X. Yang 

Cytoskeletal Oscillations: Mathematical Modeling Integrated with Experiments.  UNC Chapel Hill / NIH  533150  21400FA20  $107,406  09/24/12  08/31/17  Wang, Qi  
Spectral, Probabilistic, and Informationtheoretic Analysis for Graphs and Hypergraphs  ONR  N000141310717  21400FA21  $196,226  08/01/13  11/29/15  Lu, Linyuan Lincoln  
Extremal and Probabilistic Combinatorics with Applications  National Science Foundation (NSF)  DMS1300547  21400FA22  $184,111  08/01/13  07/31/17  Székely, László 
L. Lu 
Multiscale Computational Methods with Applications in Materials Science and Tissue Engineering  National Science Foundation (NSF)  DMS1318866  21400FA23  $158,038  09/01/13  08/31/17  Sun, Yi  
Mathematical Modeling and Computational Studies for Proliferation Kinetics of Cancer Tumor Growth with SpatialTemporal Dynamics  National Science Foundation (NSF)  DMS1308948  21400FA24  $192,674  09/01/13  08/31/17  Liu, Xinfeng  
Number Theoretic Problems on Polynomials  National Security Agency (NSA)  H982301410123  21400FA25  $22,537  03/28/14  09/23/15  Filaseta, Michael  
Collaborative Research: Phasefield Models, Algorithms and Simulations for Multiphase Complex Fluids  National Science Foundation (NSF)  DMS1418898  21400FA26  $100,000  09/01/14  08/31/18  Yang, Xiaofeng  
Collaborative Research: A MoleculartoContinuum, DataDriven Strategy for Mucus Transport Modeling  National Science Foundation (NSF)  DMS1410047  21400FA27  $210,000  09/15/14  08/31/18  Vasquez, Paula  
A 3D Hybrid DiscreteContinuum Model for Cellular Aggregate Fusion  SC EPSCoR / IDeA / NSF  14057  21400FA28  $27,000  10/01/14  03/31/16  Wang, Qi 
Y. Sun 
AEOLight 2.0: An Open Source Application for ImageBased Digital Reproduction of Optical Film Sound  National Endowment for the Humanities (NEH)  PR5020715  21400FA29  $222,146  01/01/15  12/31/17  Wilsbacher, Greg 
P. Petrushev 
Polynomial Research in Number Theory  Nationa Security Agency (NSA) / DOD  H982301510017  21400FA30  $14,105  03/27/15  08/31/16  Filaseta, Michael  
Fast and Stable Compact Exponential Time Difference Based Methods for Some Parabolic Equations  National Science Foundation (NSF)  1521965  21400FA31  $200,954  08/01/15  07/31/18  Ju, Lili  
Collaborative Research: Reduced Order Modeling of Realistic Noisy Flows  National Science Foundation (NSF)  1522672  21400FA32  $111,258  08/01/15  07/31/18  Wang, Zhu  
Collaborative Research: Kinetic to Continuum Modeling of Active Anisotropic Fluids  National Science Foundation (NSF)  1517347  21400FA33  $174,300  09/15/15  08/31/18  Wang, Qi  
Fractional PDEs for Convservation Laws and Beyond: Theory, Numberics and Applications  ONR MURI / Brown University  00000851  21400FA34  $337,349  09/23/15  09/22/18  Wang, Hong  
Constructive Approximation and Harmonic Analysis  National Science Foundation (NSF)  1613790  21400FA35  $26,298  03/15/16  02/28/18  Temlyakov, Vladimir  
Hybrid Computational Methods and Algorithms for Complex Biological Systems  National Science Foundation (NSF)  1620212  21400FA36  $165,741  09/01/16  08/31/19  Sun, Yi  
Extremal and Probabilistic Combinatorics with Applications II  National Science Foundation (NSF)  1600811  21400FA37  $180,000  07/01/16  06/30/19  Székely, László 
L. Lu 
Grid Generation, Coupling Strategies, and Spatiallydependent Time Stepping for Ocean–tidal/Estuary Systems and other ESM Components  US Department of Energy  DESC0016540  21400FA38  $389,857  09/01/16  08/31/18  Ju, Lili 
Z. Wang 
Fractional PDEs and related nonlocal models: fast numerical methods, analysis, and application  National Science Foundation (NSF)  1620194  21400FA39  $249,999  10/01/16  09/30/19  Wang, Hong 
G. Wang 
Fractional PDEs for Conservation Laws and Beyond: Theory, Numerics and Applications  Brown University / ONR MURI  00001032  21400FA40  $71,963  02/01/17  07/31/17  Wang, Hong  
Hypergraphbased Causal Modeling  Office of Naval Research (ONR)  N000141712842  21400FA43 / 15590FB33  $100,000  09/01/17  08/31/18  Lu, Linyuan Lincoln 
M. Valtorta 
Subaward to: Quantifying NETosis Via Automated High Content Imaging Assay And Neural Networks  Epicypher / UNC Chapel Hill / NIH STTR  1R41AI131840  21400FA46  $35,000  05/16/18  01/31/19  Cooper, Joshua  
TwentyEighth Cumberland Conference on Combinatorics, Graph Theory, and Computing  National Science Foundation (NSF)  1500991  21400FJ00  $15,000  03/01/15  02/29/16  Lu, Linyuan Lincoln 
É. Czabarka 
CBMS Conference: Additive Combinatorics from a Geometric Viewpoint  National Science Foundation (NSF)  1743625  21400FJ01  $35,000  01/01/18  12/31/18  Székely, László 
É. Czabarka F. Thorne 
The Ninth Annual Graduate Student Miniconference in Computational Mathematics  National Science Foundation (NSF)  1748357  21400FJ02  $7,280  01/01/18  12/31/18  Wang, Zhu 
L. Ju 
Modeling and Simulation of Organ Biofabrication Processes  SC EPSCoR/IDeA Program  20030194  21400GA00  $85,000  07/01/11  06/30/12  Wang, Qi 
X. Liu X. Yang 
Expansion of the RII Track I Middleware Training Program to Primarily Undergraduate Institutions  SCRA/SC EPSCoR  20030194  21400GJ00  $11,362  03/01/12  08/31/12  Sharpley, Robert C. 
C. Bennett J. Ebalunode N. Sergueev 
Posetfree Families  Simons Foundation  282896  21400KA00  $35,000  09/01/13  08/31/18  Griggs, Jerrold R.  
Computational Investigation of CellSubstrate Interaction Guided by Experiments (GEARCI)  SC EPSCoR / IDeA  13059  21400LA00  $57,778  05/01/13  08/31/14  Wang, Qi 
Q. Wang X. Yang 
Experimentally Guided InSilico Analysis of Cellular Aggregate Fusion in Bioprinting (GEARCRP)  SC EPSCoR/ IDeA  13046  21400LA01  $100,000  04/01/13  08/31/14  Wang, Qi 
Y. Sun 
An Open Source Application for ImageBased Digital Reproduction of Optical Film Sound (Summary)  National Endowment for the Humanities (NEH)  PR5012211  30000FA12  $300,000  04/01/11  09/30/13  Wilsbacher, Greg 
M. Cooper B. Karaivanov P. Petrushev 