What is the best form of integrate a product of a function with a cosine function?
I want integrate a function of this form $ int_0^{s_f} V_{pot}(s)cos(frac{kpi}{s_f}s) mathrm{d}s$, where $V_{pot}$ is an array and has this form Vpot
and k is $k=0,1,2 ... 2*N_f$.
So, this is my code
import numpy as np
from scipy.integrate import simps
Nf = 200 #número de terminos de la integral
s = np.zeros(NP)
for i in range(0,NP):
s[i] = (i-1)*H
def f(k):
return [(1/SF)*np.cos(np.pi*k*s/SF)*Vpot]
IVp = np.zeros(2*Nf)
for k in range(0,2*Nf):
Func = f(k)
y1 = np.array(Func,dtype=float)
I = simps(y1,s)
IVp[k] = I
Then, I got some data but I don't know if is correct. How can I proceed
and what's the best method of integration in this case?
python python-3.x integration numerical-integration
edited Nov 12 at 5:42
Cheche
828218
asked Nov 12 at 1:44
PCat27
185
add a comment |
I want integrate a function of this form $ int_0^{s_f} V_{pot}(s)cos(frac{kpi}{s_f}s) mathrm{d}s$, where $V_{pot}$ is an array and has this form Vpot
and k is $k=0,1,2 ... 2*N_f$.
So, this is my code
import numpy as np
from scipy.integrate import simps
Nf = 200 #número de terminos de la integral
s = np.zeros(NP)
for i in range(0,NP):
s[i] = (i-1)*H
def f(k):
return [(1/SF)*np.cos(np.pi*k*s/SF)*Vpot]
IVp = np.zeros(2*Nf)
for k in range(0,2*Nf):
Func = f(k)
y1 = np.array(Func,dtype=float)
I = simps(y1,s)
IVp[k] = I
Then, I got some data but I don't know if is correct. How can I proceed
and what's the best method of integration in this case?
python python-3.x integration numerical-integration
edited Nov 12 at 5:42
Cheche
828218
asked Nov 12 at 1:44
PCat27
185
add a comment |
I want integrate a function of this form $ int_0^{s_f} V_{pot}(s)cos(frac{kpi}{s_f}s) mathrm{d}s$, where $V_{pot}$ is an array and has this form Vpot
and k is $k=0,1,2 ... 2*N_f$.
So, this is my code
import numpy as np
from scipy.integrate import simps
Nf = 200 #número de terminos de la integral
s = np.zeros(NP)
for i in range(0,NP):
s[i] = (i-1)*H
def f(k):
return [(1/SF)*np.cos(np.pi*k*s/SF)*Vpot]
IVp = np.zeros(2*Nf)
for k in range(0,2*Nf):
Func = f(k)
y1 = np.array(Func,dtype=float)
I = simps(y1,s)
IVp[k] = I
Then, I got some data but I don't know if is correct. How can I proceed
and what's the best method of integration in this case?
python python-3.x integration numerical-integration
edited Nov 12 at 5:42
Cheche
828218
asked Nov 12 at 1:44
PCat27
185
I want integrate a function of this form $ int_0^{s_f} V_{pot}(s)cos(frac{kpi}{s_f}s) mathrm{d}s$, where $V_{pot}$ is an array and has this form Vpot
and k is $k=0,1,2 ... 2*N_f$.
So, this is my code
import numpy as np
from scipy.integrate import simps
Nf = 200 #número de terminos de la integral
s = np.zeros(NP)
for i in range(0,NP):
s[i] = (i-1)*H
def f(k):
return [(1/SF)*np.cos(np.pi*k*s/SF)*Vpot]
IVp = np.zeros(2*Nf)
for k in range(0,2*Nf):
Func = f(k)
y1 = np.array(Func,dtype=float)
I = simps(y1,s)
IVp[k] = I
Then, I got some data but I don't know if is correct. How can I proceed
and what's the best method of integration in this case?
python python-3.x integration numerical-integration
python python-3.x integration numerical-integration
edited Nov 12 at 5:42
Cheche
828218
asked Nov 12 at 1:44
PCat27
185
edited Nov 12 at 5:42
Cheche
828218
asked Nov 12 at 1:44
PCat27
185
edited Nov 12 at 5:42
Cheche
828218
edited Nov 12 at 5:42
Cheche
828218
edited Nov 12 at 5:42
Cheche
828218
828218
asked Nov 12 at 1:44
PCat27
185
asked Nov 12 at 1:44
PCat27
185
asked Nov 12 at 1:44
PCat27
185
185
add a comment |
add a comment |
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