William Rundell

William Rundell is a Professor of Mathematics at Texas A&M University, affiliated with the Department of Mathematics in the College of Arts & Sciences. He holds a Ph.D. and B.Sc. from Glasgow University (1974 and 1971, respectively). His research focuses on inverse problems for partial differential equations, fractional calculus, and numerical methods for ill-posed systems. Notable interests include parameter identification in elliptic/parabolic equations, inverse scattering, and subdiffusion models.

Education:

• B.Sc. (Hons) Mathematics and Natural Philosophy, Glasgow University, 1971.
• Ph.D., Glasgow University, 1974.

Research Interests:

• Inverse problems for PDEs and fractional operators.
• Ill-conditioned problems in integral and differential equations.
• Fractional diffusion, subdiffusion, and numerical algorithms.
• Nonlinear inverse problems and iterative methods.

Teaching & Mentoring:

• Offered Honors Calculus and ODE courses (Fall 2022).
• Guides undergraduate research projects in differential equations and mathematical cryptography.
• NSF-funded summer research opportunities for students.

Labs/Teams: Engages in collaborative research on inverse problems, fractional calculus, and numerical analysis.