Adaptivity and Blow-Up Detection for Nonlinear Evolution Problems. - Andrea Cangiani; Emmanuil H. Georgoulis; Irene Kyza; Stephen Metcalfe (SIAM J. Sci. Comput., 2016)

hp-Adaptive Galerkin Time Stepping Methods for Nonlinear Initial Value Problems. - Irene Kyza; Stephen Metcalfe; Thomas P. Wihler (J. Sci. Comput., 2018)

hp-adaptive discontinuous Galerkin methods for non-stationary convection-diffusion problems. - Andrea Cangiani; Emmanuil H. Georgoulis; Stefano Giani; Stephen Metcalfe (Comput. Math. Appl., 2019)

A robust quasi-optimal test norm for a DPG discretization of the convection-diffusion equation. - Stephen Metcalfe; Siva Nadarajah (CoRR, 2020)

Pointwise a Posteriori Error Bounds for Blow-Up in the Semilinear Heat Equation. - Irene Kyza; Stephen Metcalfe (SIAM J. Numer. Anal., 2020)

A quasi-optimal test norm for a DPG discretization of the convection-diffusion equation. - Stephen Metcalfe; Siva Nadarajah (Comput. Math. Appl., 2021)

A new Besse-type relaxation scheme for the numerical approximation of the Schrödinger-Poisson system. - Agissilaos Athanassoulis; Theodoros Katsaounis; Irene Kyza; Stephen Metcalfe (CoRR, 2021)

Conditional a posteriori error bounds for high order DG time stepping approximations of semilinear heat models with blow-up. - Stephen Metcalfe; Thomas P. Wihler (CoRR, 2021)

Conditional A Posteriori Error Bounds for High Order Discontinuous Galerkin Time Stepping Approximations of Semilinear Heat Models with Blow-up. - Stephen Metcalfe; Thomas P. Wihler (SIAM J. Sci. Comput., 2022)

A novel, structure-preserving, second-order-in-time relaxation scheme for Schrödinger-Poisson systems. - Agissilaos Athanassoulis; Theodoros Katsaounis; Irene Kyza; Stephen Metcalfe (J. Comput. Phys., 2023)