A Rapid Procedure for Inverting Del-Square with Certain Computers

View More View Less
  • 1 Department of Meteorology, Massachusetts Institute of Technology, Cambridge 02139
© Get Permissions Rent on DeepDyve
Restricted access

Abstract

A rapid procedure for inverting a second-order finite-difference form of the two-dimensional del-square operator is presented. The procedure may be used whenever the precision of the computer significantly exceeds the required accuracy of the results; effectively it acquires its speed by using the otherwise unneeded power of the computer represented by the additional precision. A particular variant should prove especially useful in numerical weather prediction, in instances when storage space is at a premium.

Abstract

A rapid procedure for inverting a second-order finite-difference form of the two-dimensional del-square operator is presented. The procedure may be used whenever the precision of the computer significantly exceeds the required accuracy of the results; effectively it acquires its speed by using the otherwise unneeded power of the computer represented by the additional precision. A particular variant should prove especially useful in numerical weather prediction, in instances when storage space is at a premium.

Save