Numericaly Inverse Fourier Transform
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Dear community of Mathematics,
Suppose that I have a PDE to solve:
I transform the equation from time (t) domain into the frequency domain (omega) via Fourier transform and then I solve it.
In order to return back into the time domain I have three options :
a) analytical inverse fourier,
b) numerical integration and c) evaluate the function on a grid (regular in each dimension) and apply inverse FFT.
I want to ask about the third option (c):
I want to make a grid by evaluating the function at different values of omega (which is in the frequency domain) how can I do this. At what omegas I will evaluate the function, complex or real ones?. At what range?
I have not experience on this at all. I would appreciate if anyone can guide me on this by giving me some insights on the steps i need to follow.
Thank you in advance.
pde fourier-analysis fourier-transform
add a comment |Â
up vote
1
down vote
favorite
Dear community of Mathematics,
Suppose that I have a PDE to solve:
I transform the equation from time (t) domain into the frequency domain (omega) via Fourier transform and then I solve it.
In order to return back into the time domain I have three options :
a) analytical inverse fourier,
b) numerical integration and c) evaluate the function on a grid (regular in each dimension) and apply inverse FFT.
I want to ask about the third option (c):
I want to make a grid by evaluating the function at different values of omega (which is in the frequency domain) how can I do this. At what omegas I will evaluate the function, complex or real ones?. At what range?
I have not experience on this at all. I would appreciate if anyone can guide me on this by giving me some insights on the steps i need to follow.
Thank you in advance.
pde fourier-analysis fourier-transform
Are you asking about trigonometric interpolation?
â Mattos
Sep 10 at 2:55
I am not sure that it is trigonometric interpolation
â Edmond Muho
Sep 15 at 12:06
add a comment |Â
up vote
1
down vote
favorite
up vote
1
down vote
favorite
Dear community of Mathematics,
Suppose that I have a PDE to solve:
I transform the equation from time (t) domain into the frequency domain (omega) via Fourier transform and then I solve it.
In order to return back into the time domain I have three options :
a) analytical inverse fourier,
b) numerical integration and c) evaluate the function on a grid (regular in each dimension) and apply inverse FFT.
I want to ask about the third option (c):
I want to make a grid by evaluating the function at different values of omega (which is in the frequency domain) how can I do this. At what omegas I will evaluate the function, complex or real ones?. At what range?
I have not experience on this at all. I would appreciate if anyone can guide me on this by giving me some insights on the steps i need to follow.
Thank you in advance.
pde fourier-analysis fourier-transform
Dear community of Mathematics,
Suppose that I have a PDE to solve:
I transform the equation from time (t) domain into the frequency domain (omega) via Fourier transform and then I solve it.
In order to return back into the time domain I have three options :
a) analytical inverse fourier,
b) numerical integration and c) evaluate the function on a grid (regular in each dimension) and apply inverse FFT.
I want to ask about the third option (c):
I want to make a grid by evaluating the function at different values of omega (which is in the frequency domain) how can I do this. At what omegas I will evaluate the function, complex or real ones?. At what range?
I have not experience on this at all. I would appreciate if anyone can guide me on this by giving me some insights on the steps i need to follow.
Thank you in advance.
pde fourier-analysis fourier-transform
pde fourier-analysis fourier-transform
asked Sep 9 at 13:50
Edmond Muho
62
62
Are you asking about trigonometric interpolation?
â Mattos
Sep 10 at 2:55
I am not sure that it is trigonometric interpolation
â Edmond Muho
Sep 15 at 12:06
add a comment |Â
Are you asking about trigonometric interpolation?
â Mattos
Sep 10 at 2:55
I am not sure that it is trigonometric interpolation
â Edmond Muho
Sep 15 at 12:06
Are you asking about trigonometric interpolation?
â Mattos
Sep 10 at 2:55
Are you asking about trigonometric interpolation?
â Mattos
Sep 10 at 2:55
I am not sure that it is trigonometric interpolation
â Edmond Muho
Sep 15 at 12:06
I am not sure that it is trigonometric interpolation
â Edmond Muho
Sep 15 at 12:06
add a comment |Â
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Are you asking about trigonometric interpolation?
â Mattos
Sep 10 at 2:55
I am not sure that it is trigonometric interpolation
â Edmond Muho
Sep 15 at 12:06