Efficient algorithms for the Stokes and Navier-Stokes equations on rotating surfaces.
Quadrature finite element methods for elliptic, parabolic and hyperbolic problems.Free surface evolutionary systems in nonlinear water waves and tumor growth.
Constructive approximations on spherical surfaces.
Fully discrete spectral boundary integral and boundary element methods.
Parallel evolutionary computations and analysis.
Radial basis functions based numerical schemes for PDEs.