I Basic Concepts.- 1 Introduction.- 2 Ill-posed problems.- 3 Regularization.- II Regularization Methods.- 4 The singular value decomposition.- 5 Applications of the singular value decomposition.- 6 The method of Tikhonov.- 7 Regularization by discretization.- III Least Squares Solutions of Systems of Linear Equations.- 8 Least squares problems.- 9 Numerical aspects of least squares problems.- IV Specific Topics.- 10 Convolution equations.- 11 The final value problem.- 12 Parameter identification.- References.- Notations.
