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Particle ranges may be obtained by (numerical) integration of a suitable stopping-power formula.
Volume was calculated by numerical integration of V′.
The coordinates are then derived by numerical integration.
The local terms are evaluated by numerical integration.
The analytical results are verified by numerical integration solutions.
The results are also verified by numerical integration.
The final design is obtained and verified by numerical integration.
The solution is compared with results obtained by numerical integration.
Analytical approximate results are checked by numerical integration.
Computational astrophysics is the simulation of astrophysical phenomena on a computer by numerical integration of the relevant governing equations.
This is revealed by the time-dependent fidelity with respect to the steady state, presented in Fig. 3, obtained by numerical integration of the master equation.
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