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Publications Influence

Reconstruction techniques for classical inverse Sturm-Liouville problems

- W. Rundell, P. Sacks
- Mathematics
- 1992

This paper gives constructive algorithms for the classical inverse Sturm-Liouville problem. It is shown that many of the formulations of this problem are equivalent to solving an overdetermined… Expand

165 13- PDF

Iterative methods for the reconstruction of an inverse potential problem

- F. Hettlich, W. Rundell
- Mathematics
- 1 June 1996

This paper considers an inverse potential problem which seeks to recover the shape of an obstacle separating two different densities by measurements of the potential. A representation for the domain… Expand

99 11

A Second Degree Method for Nonlinear Inverse Problems

- F. Hettlich, W. Rundell
- Mathematics, Computer Science
- SIAM J. Numer. Anal.
- 1 December 1999

TLDR

67 9

Nonlinear integral equations and the iterative solution for an inverse boundary value problem

- R. Kress, W. Rundell
- Mathematics
- 1 August 2005

Determining the shape of a perfectly conducting inclusion within a conducting medium from voltage and current measurements on the accessible boundary of the medium can be modelled as an inverse… Expand

140 7

Inverse Obstacle Scattering with Modulus of the Far Field Pattern as Data

- R. Kress, W. Rundell
- Physics
- 1997

For the two-dimensional inverse scattering problem for a sound-soft or perfectly conducting obstacle we may distinguish between uniqueness results on three different levels. Consider the scattering… Expand

58 5

Variational formulation of problems involving fractional order differential operators

- B. Jin, R. Lazarov, J. Pasciak, W. Rundell
- Computer Science, Mathematics
- Math. Comput.
- 17 July 2013

TLDR

118 4- PDF

An inverse problem for a one-dimensional time-fractional diffusion problem

- B. Jin, W. Rundell
- Mathematics
- 26 June 2012

We study an inverse problem of recovering a spatially varying potential term in a one-dimensional time-fractional diffusion equation from the flux measurements taken at a single fixed time… Expand

120 3

A tutorial on inverse problems for anomalous diffusion processes

- B. Jin, W. Rundell
- Mathematics
- 1 January 2015

Over the last two decades, anomalous diffusion processes in which the mean squares variance grows slower or faster than that in a Gaussian process have found many applications. At a macroscopic… Expand

144 3- PDF

The determination of a discontinuity in a conductivity from a single boundary measurement

- F. Hettlich, W. Rundell
- Mathematics
- 1 February 1998

We consider the determination of the interior domain where D is characterized by a different conductivity from the surrounding medium. This amounts to solving the inverse problem of recovering the… Expand

110 3

The recovery of potentials from finite spectral data

- B. D. Lowe, M. Pilant, W. Rundell
- Mathematics
- 1 March 1992

The reconstruction of a Sturm–Liouville potential from finite spectral data is considered. A numerical technique based on a shooting method determines a potential with the given spectral data.… Expand

54 3

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