| Polynomial order | 3 | ||
| Approximant form | Lagrange | pp-spline | B-spline |
| Continuity | C0 | C2 | C2 |
| Approximant quality | Interpolates | Interpolates | Approximates |
| Sampling grid storage size (for φ, ∇φ ∇2φ) [n = number of points per dimension] |
5n3 | 8n3 | n3 |
| Nadd (in 3D, φ only) | 42 | 72 | 93 |
| Nmultiply (in 3D, φ only) | 57 | 140 | 150 |
| Nadd (in 3D, φ, ∇φ ∇2φ) | 235 | 670 | 374 |
| Nmultiply (in 3D, φ, ∇φ ∇2φ) | 285 | 1053 | 548 |
Slater Determinant Orbital Approximation main page
William Parker
Department of Physics
the Ohio State University
Created by: wparker at mps dot ohio dash state dot edu
Last Modified: November 27, 2006