Some numerical approaches to solving one-dimensional inverse problems

Technical Report · Tue Jan 01 00:00:00 EST 1980

DOI:https://doi.org/10.2172/6437888· OSTI ID:6437888

Hagin, F.

A class of one-dimensional inverse scattering problems are studied with the goal of reconstructing (say) propagation speed to moderate accuracy as inexpensively as possible. Three alternatives are discussed; all starting from a change to the travel-time variable and converting the problem to integral equation form. The approaches are compared as to their economy of use and the problems for which they are effective. Several numerical examples illustrate these comparisons.

• Research Organization: Denver Univ., CO (USA). Dept. of Mathematics
• DOE Contract Number: AC02-80ER10769
• OSTI ID: 6437888
• Report Number(s): DOE/ER/10769-2; TRN: 81-009983
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
INVERSE SCATTERING PROBLEM
ONE-DIMENSIONAL CALCULATIONS
INTEGRAL EQUATIONS
NUMERICAL ANALYSIS
NUMERICAL SOLUTION
VELOCITY
WKB APPROXIMATION
EQUATIONS
MATHEMATICS
645500* - High Energy Physics- Scattering Theory- (-1987)
658000 - Mathematical Physics- (-1987)