# On local regularization methods for linear Volterra equations and nonlinear equations of Hammerstein type

@article{Lamm2005OnLR, title={On local regularization methods for linear Volterra equations and nonlinear equations of Hammerstein type}, author={Patricia K. Lamm and Zhewei Dai}, journal={Inverse Problems}, year={2005}, volume={21}, pages={1773 - 1790} }

Local regularization methods allow for the application of sequential solution techniques for the solution of Volterra problems, retaining the causal structure of the original Volterra problem and leading to fast solution techniques. Stability and convergence of these methods was shown to hold on a large class of linear Volterra problems, i.e., the class of ν-smoothing problems for ν = 1, 2, … in Lamm (2005 Inverse Problems 21 785–803). In this paper, we enlarge the family of convergent local…

## 15 Citations

### Local regularization of nonlinear Volterra equations of Hammerstein type

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### A DISCREPANCY PRINCIPLE FOR PARAMETER SELECTION IN LOCAL REGULARIZATION OF LINEAR VOLTERRA INVERSE PROBLEMS

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