Stephen Metcalfe

According to our database, Stephen Metcalfe authored at least 10 papers between 2016 and 2023.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of five.

2023

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

2022

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

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

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

A quasi-optimal test norm for a DPG discretization of the convection-diffusion equation.

Stephen Metcalfe, Siva Nadarajah

Comput. Math. Appl., 2021

2020

Pointwise a Posteriori Error Bounds for Blow-Up in the Semilinear Heat Equation.

Irene Kyza, Stephen Metcalfe

SIAM J. Numer. Anal., 2020

A robust quasi-optimal test norm for a DPG discretization of the convection-diffusion equation.

Stephen Metcalfe, Siva Nadarajah

CoRR, 2020

2019

hp-adaptive discontinuous Galerkin methods for non-stationary convection-diffusion problems.

Andrea Cangiani, Emmanuil H. Georgoulis, Stefano Giani, Stephen Metcalfe

Comput. Math. Appl., 2019

2018

hp-Adaptive Galerkin Time Stepping Methods for Nonlinear Initial Value Problems.

Irene Kyza, Stephen Metcalfe, Thomas P. Wihler

J. Sci. Comput., 2018

2016

Adaptivity and Blow-Up Detection for Nonlinear Evolution Problems.

Andrea Cangiani, Emmanuil H. Georgoulis, Irene Kyza, Stephen Metcalfe

SIAM J. Sci. Comput., 2016