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quad() single integral dblquad() double integral cumulative_trapezoid() solve_ivp() ODE ODE event detection dense ODE output simpson() sampled integration fixed_quad() Gaussian quadrature

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SciPy / Integration

dense ODE output

Learn dense ODE output in SciPy with a dedicated explanation, a concept-specific example, practical cautions, and a mastery check.

12 min read • Beginner

scipy-014.py

python

from scipy.integrate import solve_ivp
sol=solve_ivp(lambda t,y:[-2*y[0]],(0,2),[1.0],dense_output=True)
print(sol.sol([0.25,0.5,1.0])[0])

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dense ODE output Mastery Check →

ODE event detection

simpson() sampled integration