The integration of Legendre functions
$begingroup$
We know the integration of Legendre wavelet function is $int_{0}^{T}Psi(s)ds=P.Psi(t)$. We can find the matrix $P$ as follows.
My question: I want to learn how to find Matrix $P$. I can' t understand how to derive the matrix by hand.
So, I tried to check the matrix $P$ by the help of Maple. (Package program)
My try: Firstly, I calculated $int_{0}^{T}Psi(s)ds$ and then I found the value of the integration for some collocation points $t$.
And then, I calculated $ Psi(t)$ for the above collocation points $t$.
Now, we can find simply the matrix $P$ by Linear Algebra.
Yes, I found, too. But, the problem is that the matrix $P$ is different from the matrix $P$ given in the picture.
Best regards.
numerical-methods numerical-linear-algebra legendre-polynomials wavelets legendre-functions
asked Dec 19 '18 at 18:17
HD239HD239
436414
$endgroup$
add a comment |
$begingroup$
We know the integration of Legendre wavelet function is $int_{0}^{T}Psi(s)ds=P.Psi(t)$. We can find the matrix $P$ as follows.
My question: I want to learn how to find Matrix $P$. I can' t understand how to derive the matrix by hand.
So, I tried to check the matrix $P$ by the help of Maple. (Package program)
My try: Firstly, I calculated $int_{0}^{T}Psi(s)ds$ and then I found the value of the integration for some collocation points $t$.
And then, I calculated $ Psi(t)$ for the above collocation points $t$.
Now, we can find simply the matrix $P$ by Linear Algebra.
Yes, I found, too. But, the problem is that the matrix $P$ is different from the matrix $P$ given in the picture.
Best regards.
numerical-methods numerical-linear-algebra legendre-polynomials wavelets legendre-functions
asked Dec 19 '18 at 18:17
HD239HD239
436414
$endgroup$
add a comment |
$begingroup$
We know the integration of Legendre wavelet function is $int_{0}^{T}Psi(s)ds=P.Psi(t)$. We can find the matrix $P$ as follows.
My question: I want to learn how to find Matrix $P$. I can' t understand how to derive the matrix by hand.
So, I tried to check the matrix $P$ by the help of Maple. (Package program)
My try: Firstly, I calculated $int_{0}^{T}Psi(s)ds$ and then I found the value of the integration for some collocation points $t$.
And then, I calculated $ Psi(t)$ for the above collocation points $t$.
Now, we can find simply the matrix $P$ by Linear Algebra.
Yes, I found, too. But, the problem is that the matrix $P$ is different from the matrix $P$ given in the picture.
Best regards.
numerical-methods numerical-linear-algebra legendre-polynomials wavelets legendre-functions
asked Dec 19 '18 at 18:17
HD239HD239
436414
$endgroup$
We know the integration of Legendre wavelet function is $int_{0}^{T}Psi(s)ds=P.Psi(t)$. We can find the matrix $P$ as follows.
My question: I want to learn how to find Matrix $P$. I can' t understand how to derive the matrix by hand.
So, I tried to check the matrix $P$ by the help of Maple. (Package program)
My try: Firstly, I calculated $int_{0}^{T}Psi(s)ds$ and then I found the value of the integration for some collocation points $t$.
And then, I calculated $ Psi(t)$ for the above collocation points $t$.
Now, we can find simply the matrix $P$ by Linear Algebra.
Yes, I found, too. But, the problem is that the matrix $P$ is different from the matrix $P$ given in the picture.
Best regards.
numerical-methods numerical-linear-algebra legendre-polynomials wavelets legendre-functions
numerical-methods numerical-linear-algebra legendre-polynomials wavelets legendre-functions
asked Dec 19 '18 at 18:17
HD239HD239
436414
asked Dec 19 '18 at 18:17
HD239HD239
436414
asked Dec 19 '18 at 18:17
HD239HD239
436414
asked Dec 19 '18 at 18:17
HD239HD239
436414
asked Dec 19 '18 at 18:17
HD239HD239
436414
436414
add a comment |
add a comment |
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