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Table 3 Processing times of System 4

From: A higher-order numerical framework for stochastic simulation of chemical reaction systems

    τ   
  0.005 0.010 0.020 0.040 0.08
ETL 191 (16.7) 82.3 (34.5) 46 (76.1) 32.6 (188.5) 19.7 (630.1)
xETL - 293 (1.1) 123 (7.2) 66.4 (36.3) 35.1 (253.1)
xxETL - - 279 (0.93) 152 (2.5) 80.1 (36.0)
MPTL 165 (1.3) 84 (3.6) 44.9 (15.0) 24.1 (65.5) 12.3 (257.1)
xMPTL - 244 (1.0) 129 (7.7) 69.1 (35.5) 36.3 (126.2)
xxMPTL - - (-MC) 289 (1.2) (-MC) 153 (1.5) 81.3 (5.3)
TTTL 277 (1.2) 155 (3.5) 82.4 (13.5) 44.6 (58.1) 23.3 (90.0)
xTTTL - (-MC) 430 (0.41) (-MC) 239 (0.15) 128 (1.4) 68 (107.5)
xxTTTL - - (-MC) 515 (0.45) (-MC) 283 (0.37) (-MC) 151 (16.9)
  1. Processing times (in thousands of seconds) of 107 simulations of System 4 using Euler τ-leap, midpoint τ-leap and ??-trapezoidal τ-leap methods and their extrapolated and double-extrapolated versions. Absolute errors in the mean of X1from the SSA values are included in brackets. Running 107 simulations of an SSA using the Direct Method would take approximately 1.47 × 107 seconds. Entries marked (-MC) are thought to be below the Monte Carlo error level; bold entries are faster than the un/single-extrapolated versions with similar error level (i.e. compare with one row above).