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20122021
most citedA novel, structure-preserving, second-order-in-time relaxation scheme for Schrödinger-Poisson systems

11 citations · 25 across the 8 of their papers we have counts for

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Showing 2021Show all

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math.NA2021

Conditional a posteriori error bounds for high order DG time stepping approximations of semilinear heat models with blow-up

Stephen Metcalfe, Thomas P. Wihler

This work is concerned with the development of an adaptive numerical method for semilinear heat flow models featuring a general (possibly) nonlinear reaction term that may cause th…

math.NA2021★ 11 cited

A novel, structure-preserving, second-order-in-time relaxation scheme for Schrödinger-Poisson systems

Agissilaos Athanassoulis, Theodoros Katsaounis, Irene Kyza +1

We introduce a new structure preserving, second order in time relaxation-type scheme for approximating solutions of the Schrödinger-Poisson system. More specifically, we use the Cr…