Patricia K. Lamm's Home Page

Personal Information

• Office: D324 WH, (517) 353-3746; fax: (517) 432-1562
• E-mail: lamm@math.msu.edu
• Mailing address:
  Department of Mathematics
  Michigan State University
  East Lansing, MI 48824-1027 USA

IPNet: Inverse and Ill-Posed Problems Network

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.