Python integrate示例

示例#1

def bulStoer(F, x, y, xStop, H, tol=1.0e-6):
    X = []
    Y = []
    X.append(x)
    Y.append(y)
    while x < xStop:
        H = min(H, xStop - x)
        y = midpoint.integrate(F, x, y, x + H, tol)  # Midpoint method
        x = x + H
        X.append(x)
        Y.append(y)
    return numpy.array(X), numpy.array(Y)

示例#2

文件： try_integrator.py 项目： AIMS-Ghana/python-course-homework

#!/usr/bin/env python3

import numpy as np
import midpoint

def intf(x):
    return np.exp(x)

rangex = np.linspace(0, 10, 100, endpoint=True)

out = "{} integration, e^x on ({},{}): {}"

print(out.format(
    "midpoint",
    rangex[0], rangex[-1],
    midpoint.integrate(intf, rangex)
))

from scipy.integrate import quad

print(out.format(
    "scipy",
    rangex[0], rangex[-1],
    quad(intf, rangex[0], rangex[-1])
))

示例#3

import numpy as np
import midpoint
import trapezoid
import time


def intf(x):
    return np.exp(x)


rangex = np.linspace(0, 10, 100, endpoint=True)

out = "{} integration, e^x on ({},{}): {}\nelapsed: {}"

start = time.clock()
res = midpoint.integrate(intf, rangex)
elapsed = time.clock() - start

print(out.format("midpoint", rangex[0], rangex[-1], res, elapsed))

start = time.clock()
res = trapezoid.integrate(intf, rangex)
elapsed = time.clock() - start

print(out.format("trapezoid", rangex[0], rangex[-1], res, elapsed))

from scipy.integrate import quad

start = time.clock()
res = quad(intf, rangex[0], rangex[-1])
elapsed = time.clock() - start