Abstract We consider the Born and inverse Born series for scalar waves with a cubic nonlinearity of Kerr type. We find a recursive formula for the operators in the Born series and prove their boundedness. This result gives conditions which guarantee convergence of the Born series, and subsequently yields conditions which guarantee convergence of the inverse Born series. We also use fixed point theory to give alternate explicit conditions for convergence of the Born series. We illustrate our results with numerical experiments.
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Comparing the collaboration networks and productivity of China-born and US-born academic scientists
- Award ID(s):
- 1661206
- PAR ID:
- 10092321
- Date Published:
- Journal Name:
- Science and Public Policy
- Volume:
- 46
- Issue:
- 2
- ISSN:
- 0302-3427
- Page Range / eLocation ID:
- 310 to 320
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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