NSF Org:	OAC Office of Advanced Cyberinfrastructure (OAC)
Recipient:	NORTH CAROLINA STATE UNIVERSITY
Initial Amendment Date:	August 1, 2014
Latest Amendment Date:	August 1, 2014
Award Number:	1440583
Award Instrument:	Standard Grant
Program Manager:	Daniel Katz OAC  Office of Advanced Cyberinfrastructure (OAC) CSE  Directorate for Computer and Information Science and Engineering
Start Date:	September 1, 2014
End Date:	October 31, 2014 (Estimated)
Total Intended Award Amount:	$149,995.00
Total Awarded Amount to Date:	$149,995.00
Funds Obligated to Date:	FY 2014 = $0.00
History of Investigator:	Jonathan Hauenstein (Principal Investigator) hauenstein@nd.edu
Recipient Sponsored Research Office:	North Carolina State University 2601 WOLF VILLAGE WAY RALEIGH NC  US  27695-0001 (919)515-2444
Sponsor Congressional District:	02
Primary Place of Performance:	North Carolina State University 2311 Stinson Dr Raleigh NC  US  27695-8205
Primary Place of Performance Congressional District:	02
Unique Entity Identifier (UEI):	U3NVH931QJJ3
Parent UEI:	U3NVH931QJJ3
NSF Program(s):	OFFICE OF MULTIDISCIPLINARY AC, Software Institutes, CDS&E-MSS
Primary Program Source:	01001415DB NSF RESEARCH & RELATED ACTIVIT
Program Reference Code(s):	7433, 8005, 8251
Program Element Code(s):	125300, 800400, 806900
Award Agency Code:	4900
Fund Agency Code:	4900
Assistance Listing Number(s):	47.070

ABSTRACT

Polynomial systems arise naturally in many areas of human endeavor. These include the modeling of tumor growth; the design of robotic devices; chemical systems arising in areas ranging from combustion to blood clotting; assorted problems in physics; plus many areas with mathematics. The solution of the polynomial systems answers questions critical to these endeavors. This research will be devoted to developing the next generation of Bertini, an open source software package, which has been used successfully by many researchers on many problems, which include all those mentioned above.

Bertini will be rewritten in C++ to be scriptable and modular, which will allow it to be interfaced transparently with symbolic software. The new Bertini will include tools allowing the user to construct and manipulate homotopies based on the output of Bertini. A major focus of the research will be given to systems of polynomials arising from the discretization of systems of differential equations. The great challenge of these very large systems of polynomials is balanced by the great potential impact new efficient and robust methods of solution will have.

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