William Rundell, Research Interests
- Inverse problems in partial differential equations:
inverse spectral problems, parameter identification
in elliptic and parabolic equations, inverse scattering.
- Ill-conditioned problems in integral and differential operators.
- Numerical algorithms, iterative methods for nonlinear equations.
Selected Recent Publications
- Michael Pilant and William Rundell,
Fixed point methods for a nonlinear parabolic inverse coefficient problem,
Comm. Partial Differential Equations, 13, (4), (1988), 469--493.
- Michael Pilant and William Rundell,
An iteration method for the determination of an unknown boundary condition
in a parabolic initial-boundary value problem,
Proc. Edin. Math. Soc., 32, (1989), 59--71.
- William Rundell and Hong-Ming Yin,
A Parabolic Inverse Problem with an Unknown Boundary Condition,
Journal of Differential Equations, 86, (1990), 234--242.
- William Rundell and Paul Sacks,
Reconstruction techniques for classical inverse Sturm-Liouville problems,
Math. Comp., 58, (1992), 161--183.
- Bruce Lowe and William Rundell,
The reconstruction of two coefficients in a Sturm-Liouville operator,
Inverse Problems, 9 (1993), 469--482.
- Rainer Kress and William Rundell,
A Quasi-Newton Method in Inverse Obstacle Scattering,
Inverse Problems, 10 (1994), 1145--1157.
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