High-order structure-preserving schemes for the Schrödinger–Poisson–Slater system

Key Points

• High-order schemes demonstrate enhanced stability and accuracy compared to traditional methods.
• Error estimation indicates reduced numerical error across various tested scenarios and models.
• Analysis incorporates structure-preserving features to mitigate instabilities commonly seen in standard numerical approaches.
• Relevance extends to quantum systems modeled by Schrödinger and Poisson equations, supporting further theoretical application.