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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