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math.NA2023★ 1 cited
High order linearly implicit methods for semilinear evolution PDEs
Guillaume Dujardin, Ingrid Lacroix-Violet
This paper considers the numerical integration of semilinear evolution PDEs using the high order linearly implicit methods developped in a previous paper in the ODE setting. These…
math.NA2018
Energy preserving methods for nonlinear Schrödinger equations
Christophe Besse, Stephane Descombes, Guillaume Dujardin +1
This paper is concerned with the numerical integration in time of nonlinear Schrödinger equations using different methods preserving the energy or a discrete analog of it. The Cran…