Regularization of a discrete backward problem using coefficients of truncated Lagrange polynomials

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dc.contributor.authorDang, Duc Trong
dc.contributor.authorTran, Ngoc Lien
dc.date.accessioned2021-08-05T17:15:39Z
dc.date.available2021-08-05T17:15:39Z
dc.date.issued2007-04-05
dc.description.abstractWe consider the problem of finding the initial temperature u(x, 0), from a countable set of measured values { u(xj, 1)}. The problem is severely ill-posed and a regularization is in order. Using the Hermite polynomials and coefficients of truncated Lagrange polynomials, we shall change the problem into an analytic interpolation problem and give explicitly a stable approximation. Error estimates and some numerical examples are given.
dc.description.departmentMathematics
dc.formatText
dc.format.extent14 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationDang, D. T., & Tran, N. L. (2007). Regularization of a discrete backward problem using coefficients of truncated Lagrange polynomials. <i>Electronic Journal of Differential Equations, 2007</i>(51), pp. 1-14.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14212
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectDiscrete backward problem
dc.subjectTruncated Lagrange polynomial
dc.subjectHermite polynomial
dc.subjectInterpolation problem
dc.titleRegularization of a discrete backward problem using coefficients of truncated Lagrange polynomials
dc.typeArticle

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