HIGH‐ORDER POSITIVE, MONOTONE AND CONVEX MULTIGRID INTERPOLATIONS

Abstract

We develop new high‐order positive, monotone and convex interpolations, which are to be used in the multigrid context. This means that the value of the interpolant is calculated only at the midpoints lying between the locations of the given values. As a consequence, these interpolants can be calculated very efficiently. They are then tested in a time‐dependent very large scale integration process simulation application.

Citation

JOPPICH, W. and LORENTZ, R.A. (1993), "HIGH‐ORDER POSITIVE, MONOTONE AND CONVEX MULTIGRID INTERPOLATIONS", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 12 No. 1, pp. 59-79. https://doi.org/10.1108/eb010335