CIMPA-ICTP Fellowships "Research in Pairs"

An Introduction to Inverse Problems

15 – 18 July, 2025

Participant

Real Rommel (University of the Philippines Mindanao)

Abstract: Inverse problems aim to solve the parameters given an observed or desired effect. These problems often lead to

mathematical models that are inherently ill-posed in Hadamard’s sense. In many inverse problems, exact data are not
available, instead, only noisy data are available. Hence, to obtain stable approximate solutions, regularization is used. In this
course we introduce some basic mathematical background to study ill-posed linear inverse problems necessary to study the
convergence of two classic regularization methods, Tikhonov regularization and the Landweber iteration

Domain : #Inverse Problems #Regularization
MSC : 65J20
Keywords : #inverse problems, #regularization, #Tikhonov, #Landweber

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