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math.NA2026
High-order mass-, energy- and momentum-conserving methods for the nonlinear Schrödinger equation
Georgios Akrivis, Buyang Li, Rong Tang +1
This paper introduces a novel formulation and an associated space-time finite element method for simulating solutions to the nonlinear Schrödinger equation. A major advantage of th…
math.NA2026
Implicit and implicit--explicit high-order BDF methods for coupled elliptic--parabolic systems
Georgios Akrivis, Minghua Chen, Fan Yu
First-order fully implicit as well as implicit--explicit schemes for coupled elliptic-parabolic systems are discussed in [Ern and Meunier, ESAIM: M2AN, 2009] and [Altmann et al., M…