Stepsize adjustment strategy Sample Clauses

Stepsize adjustment strategy. ≤ 1. The stepsize is said to be relaxed when ρ = RELAXATION _FACTOR. The stepsize is said to be strongly relaxed when ρ = STRONG_RELA- XATION _FACTOR. The default values for these factors are listed in Table 1. Table 1: Default values for the stepsize adjustment factors. TIGHTENING_FACTOR 0.5 RELAXATION _FACTOR 1.2 STRONG_RELAXATION _FACTOR 3.0 By inspecting the last two data points, the direction of the simulated trajec- tory with respect to the zero crossing can be either: • distancing zero crossing, • approaching zero crossing, • crossed zero. When distancing a zero crossing, the stepsize is strongly relaxed. When approaching a zero crossing, the current value of the zero crossing func- tion, f (t), is compared to the value of the absolute tolerance, abstol. If |f (t)| ≤ abstol · TOLERANCE_SAFETY _FACTOR (3) with TOLERANCE_SAFETY _FACTOR 1.0 and a default value of 0.5, then f (t) is said to be well within tolerance, and the stepsize is re- laxed (the zero crossing has not yet occurred but is already precisely re- solved). If |f (t)| ≤ abstol (4) then f (t) is said to be within tolerance, and the stepsize is held constant (the zero crossing has not yet occurred but is already resolved). If |f (t)| > abstol (5) then f (t) is said to be outside tolerance, and the (conservatively) estimated value for the number of timesteps to hit the predicted zero crossing, n, is considered. • If n ≤ 1, then the stepsize is adjusted to hit the zero crossing. • If 1 < n ≤ δtighten, then the stepsize is tightened. • If δtighten < n ≤ δrelax, then the stepsize is held constant. • If δrelax < n ≤ δstronglyrelax, then the stepsize is relaxed. • If δstronglyrelax < n, then the stepsize is strongly relaxed. The default values of the parameters δi are listed in Table 2. When the simulated trajectory crossed zero in the previous time step, it is checked whether or not unstable oscillations around the zero crossing are building up. Table 2: Default values of the distance bin separators for the number of timesteps to hit a predicted zero crossing. δtighten 1. 8 (= 1.5 RELAXATION _FACTOR) δrelax 3.0 (= STRONG_RELAXATION _FACTOR) δstronglyrelax 30.0 (= 10.0 · δrelax) If unstable oscillations occur, and f (t) is well within tolerance, then the stepsize is held constant. If unstable oscillations occur, and f (t) is within tolerance, then the stepsize is tightened. If unstable oscillations occur, and f (t) is outside tolerance, then the stepsize is set to its minimal value. If unstable o...
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Related to Stepsize adjustment strategy

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