Order-optimal methods for the approximation of a piecewise-continuous solution to a certain inverse problem

DOI10.3103/S1066369X07030097zbMath1145.65065MaRDI QIDQ2479670

M. G. Bulatova, Vitalii P. Tanana

Publication date: 1 April 2008

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

projection methodregularization methodoperator equationsideways heat equationorder optimal methodpiecewise continuous solutionclass of correctnesscosine and sine transformsill-posed differential problem

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Linear operators and ill-posed problems, regularization (47A52) Numerical solution to inverse problems in abstract spaces (65J22)

Cites Work

• Error estimates for approximate solutions of equations of the first kind.
• Piecewise-uniform regularization of ill-posed problems with discontinuous solutions
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