First error analysis for Lie splitting on Ḣ¹ solutions of energy-critical semilinear wave equations on R³ yields order-1 L² convergence and order-3/2 for the corrected scheme via discrete Strichartz estimates with frequency cutoffs.
A general framework of low re gularity integrators
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Error analysis of the Lie splitting for semilinear wave equations with finite-energy solutions
First error analysis for Lie splitting on Ḣ¹ solutions of energy-critical semilinear wave equations on R³ yields order-1 L² convergence and order-3/2 for the corrected scheme via discrete Strichartz estimates with frequency cutoffs.