TY - JOUR

T1 - Author Correction

T2 - h-Analysis and data-parallel physics-informed neural networks (Scientific Reports, (2023), 13, 1, (17562), 10.1038/s41598-023-44541-5)

AU - Escapil‑Inchauspé, Paul

AU - Ruz, Gonzalo A.

N1 - Publisher Copyright:
© The Author(s) 2024.

PY - 2024/12

Y1 - 2024/12

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85194586464&partnerID=8YFLogxK

U2 - 10.1038/s41598-024-62284-9

DO - 10.1038/s41598-024-62284-9

M3 - Comment/debate

AN - SCOPUS:85194586464

SN - 2045-2322

VL - 14

JO - Scientific Reports

JF - Scientific Reports

IS - 1

M1 - 12062

ER -