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. Author manuscript; available in PMC: 2007 Dec 6.
Published in final edited form as: IEEE Trans Ultrason Ferroelectr Freq Control. 2006 Jun;53(6):1150–1159. doi: 10.1109/tuffc.2006.1642513

TABLE II.

Measured Computation Times Corresponding to a Peak Error of 1% for the Rayleigh-Sommerfeld Integral, Schoch Integral, Field II, DREAM, the Impulse Response Method (Numerical + Analytical and Numerical), and Time-Space Decomposition Applied to the FNM Integral.

Method Input parameters Computation time (seconds) Time required relative to time-space decomposition
Rayleigh-Sommerfeld 121 abscissas 32.1521 844x
DREAM 40,000 elements at 1024 MHz 12.8355 269x
Field II 3,480 elements at 512 MHz 8.9723 188x
Schoch 20 abscissas 4.5396 95x
Impulse response (numerical) 2048 MHz 2.6999 56x
Impulse response (numerical + analytical) 512 MHz 0.8127 17x
Time-space decomposition 9 abscissas 0.0478