PS Method Based on Symmetric Extension
We assume that the symmetrically extended sequence is the samples that satisfy the Nyquist sampling theorem of a differentiable continuous-time signal where the time axis is normalized.
Mar 28, 2020
Pseudo spectral (PS) method using discrete Fourier transform (DFT) is a calculation method of obtaining the derivative in the frequency domain.
Abstract—Pseudo spectral (PS) method using discrete Fourier transform (DFT) is a calculation method of obtaining the derivative in the frequency domain.
... The results testify to the efficacy of the PS method based on symmetric extension. This paper thus extends earlier results available in the literature [22]�...
DCT allows a sequence to function as a symmetrically extended sequence and estimates derivatives in the transformed domain. The superior performance of the�...
Abstract. Pseudo spectral (PS) method using discrete Fourier transform (DFT) is a calculation method of obtaining the derivative in the frequency domain.
Mar 28, 2020 � We propose a new PS method based on symmetric extension. We mathematically derive the proposed method using the discrete cosine transform (DCT) in the forward�...
People also ask
What is pseudo-spectral analytical time domain?
What is pseudo-spectral method Mathematica?
In the pseudo-spectral method, we must solve for uk(t), the value of u at the collocation points. The. Fourier transform is used only for computing derivatives.
The sixteen possible SPSs are shown in Fig. 3(b). The naming convention is based on the symmetric extension used at each end. For instance, a WSHA-type sequence�...
This work mathematically derive the proposed PS method using the discrete cosine transform (DCT) in the forward transform from the relation between DFT and�...