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- PSPLINE -- a collection of Spline and Hermite interpolation
tools for 1D, 2D, and 3D datasets on rectilinear grids.
Spline routines give full control over boundary conditions
-- the user may specify "periodic", "not a knot", 1st
derivative match, 2nd derivative match, or divided
difference based boundary conditions on either end
of each grid dimension. Hermite routines take as input
the function value and derivatives at each grid point,
giving back a representation of the function between
grid points. Routines are provided for creating Hermite
datasets, with appropriate boundary conditions applied.
The 1D spline and Hermite routines are based on standard
methods; the 2D and 3D spline or Hermite interpolation
functions are constructed from 1D spline or Hermite
interpolation functions in a straightforward manner.
The splines are continuously twice differentiable in
all directions across all grid cell boundaries and
over the entire grid domain; Hermite functions are
continuously once differentiable in all directions
over the entire grid domain. For a representation of
dimensionality N, an N-dimensional spline or Hermite
function requires 2**N*(nx1*nx2*...*nxN) memory words.
There is also an "explicit spline" representation requiring
4**N*(nx1*nx2*...*nxN) memory words: much more memory
but somewhat faster computationally. Spline and Hermite
interpolation functions are often much faster to evaluate
than other representations using e.g. Fourier series
or otherwise involving transcendental functions. PSPLINE
now includes EZspline, a fortran-90 interface to the
spline and Hermite routines with excellent ease of
As described in PSPLINE HELP, significant improvements
to the PSPLINE library were added on Feb. 27, 2004.
- Thr Jun 18 16:43:48 2009
- Numerical Tools
- Interpolation, Approximation, Spline, Hermite, Multivariate
- Fortran-77 and Fortran-90, C++ for a test example
- AIX, CRAY J90, HP-UX, IRIX64, Linux, Linux Alpha, OSF1,
- Review Information
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