Patti Lamm's Home Page
     
(Sorry -- the information on this page has been out of
date
for
much too long. I intend to update.... )
Personal Information
- Office: D324 WH, (517) 353-3746; fax: (517) 432-1562
- E-mail: lamm_at_math.msu.edu
- Mailing address:
Department of Mathematics
Michigan State
University
East Lansing, MI 48824-1027 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 n-dimensional integral equations with
applications to image processing
..... Joint paper with Changjun Cui and Thomas L. Scofield
..... Inverse
Problems 23 (2007), pp
1611-1633.
-
On local regularization methods for linear Volterra equations and
nonlinear equations of Hammerstein type
..... Joint paper with Zhewei Dai
..... Inverse
Problems 21 (2005), pp
1773-1790.
..... Designated an IOP Select article by the journal.
-
Full convergence of sequential local regularization methods for
Volterra inverse problems
..... Inverse Problems
21 (2005), pp 785-803.
-
Variable-smoothing local regularization methods for first-kind integral equations
..... Inverse Problems
19 (2003), pp 195-216.
-
Local regularization methods for the stabilization of ill-posed
Volterra problems
..... Joint paper with Thomas L. Scofield
..... Numerical Functional Analysis and Optimization, 22 (2001), pp 913-940.
-
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 10-13 (2001).
-
Future polynomial regularization of ill-posed Volterra equations
..... Joint paper with Aaron Cinzori
..... SIAM J. Numerical Analysis, 37 (2000), pp 949-979.
-
Sequential predictor-corrector methods for the variable regularization
of Volterra inverse problems
..... Joint paper with Thomas L. Scofield
..... Inverse Problems, 16 (2000),
pp 373-399.
-
A survey of regularization methods for first-kind 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 53-82.
-
Variable-smoothing 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 331-336.
-
Numerical solution of first-kind Volterra equations by sequential
Tikhonov regularization
..... Joint paper with Lars Eldén
..... SIAM J. Numerical Analysis, 34 (1997),
pp 1432-1450.
-
Solution of ill-posed Volterra equations via variable-smoothing
Tikhonov regularization
..... in Inverse Problems in Geophysical Applications
..... Edited by H. W. Engl, A. K. Louis, and W. Rundell,
..... SIAM (1997), pp 92-108.
-
Regularized inversion of finitely smoothing
Volterra operators: predictor-corrector regularization methods
..... Inverse Problems 13 (1997), pp 375-402.
..... Contains condition number results for discrete
formulations of predictor-corrector methods.
-
Approximation of ill-posed Volterra problems via predictor-corrector
regularization methods
..... SIAM
J. Applied Math. 56 (1996), 524-541.
-
Future-sequential regularization methods for ill-posed Volterra
equations
..... J. Math. Analysis Applic. 195 (1995), pp 469-494.
- 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.