Stephen Metcalfe

Publication Activity (10 Years)

Years Active: 2016-2023
Publications (10 Years): 10

Top Topics

Diffusion Processes

Hamilton Jacobi

Top Venues

Comput. Math. Appl.

SIAM J. Sci. Comput.

J. Comput. Phys.

Publications

Agissilaos Athanassoulis, Theodoros Katsaounis, Irene Kyza, Stephen Metcalfe
A novel, structure-preserving, second-order-in-time relaxation scheme for Schrödinger-Poisson systems. J. Comput. Phys. 490 (2023)
Stephen Metcalfe, Thomas P. Wihler
Conditional A Posteriori Error Bounds for High Order Discontinuous Galerkin Time Stepping Approximations of Semilinear Heat Models with Blow-up. SIAM J. Sci. Comput. 44 (3) (2022)
Stephen Metcalfe, Siva Nadarajah
A quasi-optimal test norm for a DPG discretization of the convection-diffusion equation. Comput. Math. Appl. 94 (2021)
Agissilaos Athanassoulis, Theodoros Katsaounis, Irene Kyza, Stephen Metcalfe
A new Besse-type relaxation scheme for the numerical approximation of the Schrödinger-Poisson system. CoRR (2021)
Stephen Metcalfe, Thomas P. Wihler
Conditional a posteriori error bounds for high order DG time stepping approximations of semilinear heat models with blow-up. CoRR (2021)
Irene Kyza, Stephen Metcalfe
Pointwise a Posteriori Error Bounds for Blow-Up in the Semilinear Heat Equation. SIAM J. Numer. Anal. 58 (5) (2020)
Stephen Metcalfe, Siva Nadarajah
A robust quasi-optimal test norm for a DPG discretization of the convection-diffusion equation. CoRR (2020)
Andrea Cangiani, Emmanuil H. Georgoulis, Stefano Giani, Stephen Metcalfe
hp-adaptive discontinuous Galerkin methods for non-stationary convection-diffusion problems. Comput. Math. Appl. 78 (9) (2019)
Irene Kyza, Stephen Metcalfe, Thomas P. Wihler
hp-Adaptive Galerkin Time Stepping Methods for Nonlinear Initial Value Problems. J. Sci. Comput. 75 (1) (2018)
Andrea Cangiani, Emmanuil H. Georgoulis, Irene Kyza, Stephen Metcalfe
Adaptivity and Blow-Up Detection for Nonlinear Evolution Problems. SIAM J. Sci. Comput. 38 (6) (2016)