Compact numerical schemes provide high-order solution of PDEs with low diss
ipation and dispersion. Computer implementation of these schemes requires n
umerous passes of data. through cache memory that considerably reduces perf
ormance of these schemes. To reduce this difficulty, a novel algorithm is p
roposed here. This algorithm is based on a wavefront approach and sweeps th
rough cache memory only twice. (C) 2001 Elsevier Science Ltd. All rights re
served.