NSF Org:	EES Div. of Equity for Excellence in STEM
Recipient:	REGENTS OF THE UNIVERSITY OF CALIFORNIA, THE
Initial Amendment Date:	June 28, 1989
Latest Amendment Date:	July 2, 1991
Award Number:	8902967
Award Instrument:	Standard Grant
Program Manager:	Lola E. Rogers EES  Div. of Equity for Excellence in STEM EDU  Directorate for STEM Education
Start Date:	January 1, 1990
End Date:	September 30, 1991 (Estimated)
Total Intended Award Amount:	$62,500.00
Total Awarded Amount to Date:	$62,500.00
Funds Obligated to Date:	FY 1989 = $52,500.00 FY 1991 = $10,000.00
History of Investigator:	Joyce McLaughlin (Principal Investigator) mclauj@rpi.edu
Recipient Sponsored Research Office:	University of California-Berkeley 1608 4TH ST STE 201 BERKELEY CA  US  94710-1749 (510)643-3891
Sponsor Congressional District:	12
Primary Place of Performance:	DATA NOT AVAILABLE
Primary Place of Performance Congressional District:
Unique Entity Identifier (UEI):	GS3YEVSS12N6
Parent UEI:
NSF Program(s):	INFRASTRUCTURE PROGRAM, APPLIED MATHEMATICS, VISITNG PROFESS FOR WOMEN
Primary Program Source:
Program Reference Code(s):	1260, 1266, 9225
Program Element Code(s):	126000, 126600, 922500
Award Agency Code:	4900
Fund Agency Code:	4900
Assistance Listing Number(s):	47.076

ABSTRACT

Dr. McLaughlin will develop algorithms for inverse nodal problems in two dimensions. In this new class of inverse problems the data is nodal positions, or zeroes of eigenfunctions, and the solutions are coefficients in differential operators. One dimensional inverse nodal problems for second order operators have been carefully studied using asymptotic forms for eigenvalues and asymptotic forms for nodal positions. In two dimensions the algorithm will be based on formulas which have been derived using variational principles. Interactive activities include teaching an advanced undergraduate or first year graduate level course on inverse spectral theory for bounded domains, encouraging and advising women mathematics students, and sponsoring a seminar presentation by a visiting woman mathematician. This project furthers VPW program objectives which are (1) to provide opportunities for women to advance their careers in engineering and in the disciplines of science supported by NSF and (2) to encourage women to pursue careers in science and engineering by providing greater visibility for women scientists and engineers employed in industry, government, and academic institutions. By encouraging the participation of women in science, it is a valuable investment in the Nation's future scientific vitality.

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