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math.NA2023
The influence of parasitic modes on "weakly'' unstable multi-step Finite Difference schemes
Thomas Bellotti
Numerical analysis for linear constant-coefficients Finite Difference schemes was developed approximately fifty years ago. It relies on the assumption of scheme stability and in pa…
math.NA2023★ 1 cited
Initialisation from lattice Boltzmann to multi-step Finite Difference methods: modified equations and discrete observability
Thomas Bellotti
Latitude on the choice of initialisation is a shared feature between one-step extended state-space and multi-step methods. The paper focuses on lattice Boltzmann schemes, which can…