Patti Lamm's Home Page
(Sorry  the information on this page has been out of
date
for
much too long. I intend to update it this semester, FS15. )
Personal Information
 Office: D324 WH, (517) 3533746; fax: (517) 4321562
 Email: lamm_at_math.msu.edu
 Mailing address:
Department of Mathematics
Michigan State
University
East Lansing, MI 488241027 USA
Some
Recent Papers

Local regularization for the nonlinear autoconvolution equation
..... Joint paper with Zhewei Dai
..... SIAM J. Numerical Analysis, to appear.

Local regularization for ndimensional integral equations with
applications to image processing
..... Joint paper with Changjun Cui and Thomas L. Scofield
..... Inverse
Problems 23 (2007), pp
16111633.

On local regularization methods for linear Volterra equations and
nonlinear equations of Hammerstein type
..... Joint paper with Zhewei Dai
..... Inverse
Problems 21 (2005), pp
17731790.
..... Designated an IOP Select article by the journal.

Full convergence of sequential local regularization methods for
Volterra inverse problems
..... Inverse Problems
21 (2005), pp 785803.

Variablesmoothing local regularization methods for firstkind integral equations
..... Inverse Problems
19 (2003), pp 195216.

Local regularization methods for the stabilization of illposed
Volterra problems
..... Joint paper with Thomas L. Scofield
..... Numerical Functional Analysis and Optimization, 22 (2001), pp 913940.

Some recent developments and open problems in solution methods
for mathematical inverse problems
..... Proceedings, XXIV National Congress of Applied
and Computational Mathematics,
..... Belo Horizonte, Brazil, September 1013 (2001).

Future polynomial regularization of illposed Volterra equations
..... Joint paper with Aaron Cinzori
..... SIAM J. Numerical Analysis, 37 (2000), pp 949979.

Sequential predictorcorrector methods for the variable regularization
of Volterra inverse problems
..... Joint paper with Thomas L. Scofield
..... Inverse Problems, 16 (2000),
pp 373399.

A survey of regularization methods for firstkind Volterra equations
..... in Surveys on Solution Methods for Inverse
Problems
..... D. Colton, H. W. Engl, A. Louis, J. R. McLaughlin,
W. Rundell, Editors
..... Springer (Vienna, New York), 2000, pp 5382.

Variablesmoothing regularization methods for inverse problems
..... in Theory and Practice of Control and Systems,
..... A. Tornambe, G. Conte, and A. M. Perdon, Editors
..... World Scientific, 1998, pp 331336.

Numerical solution of firstkind Volterra equations by sequential
Tikhonov regularization
..... Joint paper with Lars Eldén
..... SIAM J. Numerical Analysis, 34 (1997),
pp 14321450.

Solution of illposed Volterra equations via variablesmoothing
Tikhonov regularization
..... in Inverse Problems in Geophysical Applications
..... Edited by H. W. Engl, A. K. Louis, and W. Rundell,
..... SIAM (1997), pp 92108.

Regularized inversion of finitely smoothing
Volterra operators: predictorcorrector regularization methods
..... Inverse Problems 13 (1997), pp 375402.
..... Contains condition number results for discrete
formulations of predictorcorrector methods.

Approximation of illposed Volterra problems via predictorcorrector
regularization methods
..... SIAM
J. Applied Math. 56 (1996), 524541.

Futuresequential regularization methods for illposed Volterra
equations
..... J. Math. Analysis Applic. 195 (1995), pp 469494.
 On
the local regularization of inverse problems of Volterra type
..... In Proc. 1995 ASME Design Engineering Technical
Conferences:
..... Parameter Identification Symposium, September 1995,
Boston, MA.