If the underlying simulation uses spectral methods then the spectral series can be evaluated anywhere,
so no actual interpolation need be done, although the term “spectral interpolation” is still often used. See
Fornberg [70
], Gottlieb and Orszag [75
], and Boyd [37
] for general discussions of spectral methods, and (for example)
Ansorg et al. [12
, 11
, 10
, 13
], Bonazzola et al. [35
, 33
, 34
], Grandclément et al. [77
], Kidder et al. [95
, 96
, 97
], and
Pfeiffer et al. [120
, 124
, 123
, 122
] for applications to numerical relativity.