An Alternating-Direction Implicit Orthogonal Spline Collocation Scheme for Nonlinear Parabolic Problems on Rectangular Polygons. - Bernard Bialecki; Ryan I. Fernandes (SIAM J. Sci. Comput., 2006)

Alternating Direction Implicit Orthogonal Spline Collocation Methods for an Evolution Equation with a Positive-Type Memory Term. - Amiya Kumar Pani; Graeme Fairweather; Ryan I. Fernandes (SIAM J. Numer. Anal., 2007)

An Alternating Direction Implicit Backward Differentiation Orthogonal Spline Collocation Method for Linear Variable Coefficient Parabolic Equations. - Bernard Bialecki; Ryan I. Fernandes (SIAM J. Numer. Anal., 2009)

An ADI extrapolated Crank-Nicolson orthogonal spline collocation method for nonlinear reaction-diffusion systems. - Ryan I. Fernandes; Graeme Fairweather (J. Comput. Phys., 2012)

An ADI extrapolated Crank-Nicolson orthogonal spline collocation method for nonlinear reaction-diffusion systems on evolving domains. - Ryan I. Fernandes; Bernard Bialecki; Graeme Fairweather (J. Comput. Phys., 2015)

Alternating direction implicit orthogonal spline collocation on some non-rectangular regions with inconsistent partitions. - Bernard Bialecki; Ryan I. Fernandes (Numer. Algorithms, 2017)

Convergence analysis of the finite difference ADI scheme for the heat equation on a convex set. - Bernard Bialecki; Maksymilian Dryja; Ryan I. Fernandes (Math. Comput., 2021)

An alternating direction implicit finite element Galerkin method for the linear Schrödinger equation. - Morrakot Khebchareon; Amiya K. Pani; Graeme Fairweather; Ryan I. Fernandes (Numer. Algorithms, 2024)