A Local Lagrange Interpolation Method Based on C Cubic Splines on Freudenthal Partitions

نویسندگان

  • GERO HECKLIN
  • FRANK ZEILFELDER
  • F. ZEILFELDER
چکیده

A trivariate Lagrange interpolation method based on C1 cubic splines is described. The splines are defined over a special refinement of the Freudenthal partition of a cube partition. The interpolating splines are uniquely determined by data values, but no derivatives are needed. The interpolation method is local and stable, provides optimal order approximation, and has linear complexity.

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تاریخ انتشار 2008