A convergence analysis of the midpoint rule for first kind Volterra integral equations with noisy data

DOI10.1216/JIE-2010-22-2-313zbMath1204.65154MaRDI QIDQ610952

Barbara Kaltenbacher

Publication date: 13 December 2010

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

zbMATH Keywords

convergenceregularization methodlinear Volterra integral equationsmidpoint rulethermoacoustic inverse problem

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical methods for ill-posed problems for integral equations (65R30) Volterra integral equations (45D05) Inverse problems in thermodynamics and heat transfer (80A23)

Related Items (2)

The Product Midpoint Rule for Abel-Type Integral Equations of the First Kind with Perturbed Data ⋮ The regularizing properties of multistep methods for first kind Volterra integral equations with smooth kernels

Cites Work

• Linear integral equations.
• Some regularization methods for a thermoacoustic inverse problem
• Stability of quadrature rule methods for first kind volterra integral equations
• An introduction to the mathematical theory of inverse problems
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