Noel J. Walkington

Noel J. Walkington is a Professor in the Department of Mathematical Sciences at Carnegie Mellon University. His research focuses on the development and analysis of numerical algorithms for the approximation of partial differential equations. Walkington holds degrees in mechanical engineering and mathematics, and his work often bridges these disciplines. He has contributed to various areas including multiphase porous flow, viscoelastic fluids, and liquid crystal flows. His publications appear in journals such as M2AN, SMAI Journal of Computational Mathematics, and SINUM. He is affiliated with the Mellon College of Science and can be contacted via email at noelw@andrew.cmu.edu or through his profile page at https://www.cmu.edu/math/people/faculty/walkington.html.

Noel Walkington's research focuses on numerical methods for partial differential equations, particularly in fluid dynamics and continuum mechanics. His work includes the development of Delaunay-based numerical methods for three dimensions, approximation techniques for liquid crystal flows, and error estimates for discontinuous Galerkin methods for parabolic equations. He also investigates microstructure models of diffusion in fissured media and convergence of numerical approximations for incompressible Navier–Stokes equations with variable density and viscosity. His research emphasizes robust computational algorithms for complex physical phenomena, including motion by mean curvature and hyperbolic Stefan problems.