Numerical recovery of function in a strip from given integral data on linear manifolds
A. BegmatovDepartment of Engineering Mathematics, Novosibirsk State Technical University, Novosibirsk, Russian FederationGafur DjaykovDepartment of Engineering Mathematics, Novosibirsk State Technical University, Novosibirsk, Russian Federation
2016en
ABI
Abstract
We study Volterra type problem of integral geometry on polygonal lines in a strip. Inversion formulas are received. Stability estimates of solution to the problem in Sobolev spaces are obtained. These theoretical results are used in order to recovery a function from experimental data. Numerical results and their graphical representation are given.
Identifiers
Citations and references
Cited by 40 references