Author Correction: h-Analysis and data-parallel physics-informed neural networks (Scientific Reports, (2023), 13, 1, (17562), 10.1038/s41598-023-44541-5)

The original version of this Article contained errors in section ‘General Notation’, Equation 3, Equation 13, Equation 14, Equation 21, Table 1, section ‘Proof Consider the setting of Theorem 1.’ and in section ‘Methodology’, where notations were incorrect. In section ‘General Notation’, (Formula presented.) now reads: (Formula presented.) In Equation 3, 14, ‘Theorem 1’, ‘Proof of Theorem 1’: (Formula presented.) now reads: (Formula presented.) In Equation 13, ‘Proof of Theorem 1’ and Equation 21: (Formula presented.) now reads: (Formula presented.) In section ‘Methodology’, (Formula presented.) now reads: (Formula presented.) In Table 1, in the heading of column 7: (Formula presented.) now reads: (Formula presented.) The original Article has been corrected.