First- and Second-Order Conservative Remapping Schemes for Grids in Spherical Coordinates. Jones, P. W. 127(9):2204–2210.
First- and Second-Order Conservative Remapping Schemes for Grids in Spherical Coordinates [link]Paper  doi  abstract   bibtex   
Coupling atmosphere, ocean, sea ice, and land surface models requires a means for remapping fields between grids in an accurate and conservative manner. A method is described here for computing interpolation weights for first- and second-order conservative remappings. The method is completely general and can be used for any grid on a sphere.
@article{jonesFirstSecondorderConservative1999,
  title = {First- and Second-Order Conservative Remapping Schemes for Grids in Spherical Coordinates},
  author = {Jones, Philip W.},
  date = {1999-09},
  journaltitle = {Monthly Weather Review},
  volume = {127},
  pages = {2204--2210},
  issn = {0027-0644},
  doi = {10.1175/1520-0493(1999)127<2204:FASOCR>2.0.CO;2},
  url = {https://doi.org/10.1175/1520-0493(1999)127%3C2204:fasocr%3E2.0.co;2},
  abstract = {Coupling atmosphere, ocean, sea ice, and land surface models requires a means for remapping fields between grids in an accurate and conservative manner. A method is described here for computing interpolation weights for first- and second-order conservative remappings. The method is completely general and can be used for any grid on a sphere.},
  keywords = {*imported-from-citeulike-INRMM,~INRMM-MiD:c-10828824,geospatial,gridded-data,lai,local-average-invariance,mathematics},
  number = {9}
}

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