Implementing semi|implicit Fourier spectral method

A Semi-Lagrangian Spectral Method for the Vlasov-Poisson System ...

Abstract: In this work, we apply a semi-Lagrangian spectral method for the Vlasov-Poisson system, previously designed for periodic Fourier discretizations, by ...

Fourierization of the Legendre–Galerkin method and a new space ...

i.e., implicit–explicit, split step, integrating factor, sliders and ... spectral method based on Legendre–Galerkin method using Fourier-.

iterative spectral methods and spectral solutions to compressible flows

An iterative technique for efficiently implementing semi-implicit time-stepping for pseudospectral discretizations of Navier-Stokes equations is.

Pseudo-spectral method - Wikipedia

This simplifies the evaluation of certain operators, and can considerably speed up the calculation when using fast algorithms such as the fast Fourier transform ...

Spectral methods - Scholarpedia

The Fourier Galerkin method is stable for the linear problem \frac{\partial u}{\partial t} = L u where the linear operator L is semi-bounded in ...

Scalable Semi-supervised kernel spectral learning using random ...

Scalable Semi-supervised kernel spectral learning using random Fourier features ... Abstract: We live in the era of big data with dataset sizes growing steadily ...

MARS: A method for the adaptive removal of stiffness in PDEs

The adaptive implicit part is diagonal in Fourier space, so that our method has the same stability properties as a fully implicit method, with ...

Conservative Fourier spectral method for a class of modified ...

In this paper, we consider the Fourier spectral method and numerical investigation for a class of modified Zakharov system with high-order ...

Optimal Error Estimate of Fourier Spectral Method for the Kawahara ...

A fully discrete scheme can be obtained when we discretize in time the semi-discrete scheme using the second-order leapfrog-Crank-Nicolson method [10,. 11] and ...

A structure-preserving Fourier pseudo-spectral linearly implicit ...

We propose a Fourier pseudo-spectral scheme for the space-fractional nonlinear Schrödinger equation. The proposed scheme has the following features: it is ...

Fourier spectral high-order time-stepping method for numerical ...

FFT implementation of ETDRK4-P13 method ... [17] H. G. Lee, J. Y. Lee, A semi-analytical Fourier spectral method for the Allen-Cahn equation,.

characterizing the stabilization size for semi-implicit fourier-spectral ...

model by using a completely different approach. We now state our main results. We first consider a stabilized semi-implicit scheme introduced in [16] ...

Fourier Spectral Methods For Solving The

Our implementation employs the Fast Fourier Transform (FFT) algorithm. It costs only O(Mog,.V) provided that .Y is chosen in an appropriate manner. Le. N is a.

Parallel Spectral Numerical Methods - Open Michigan |

... using the technique of separation of variables. ... Next we introduce pseudo spectral methods by giving an overview of the discrete Fourier ...

Second-order time integrators with the Fourier spectral method in ...

This paper investigated the propagation and interaction behavior of the fractional-in-space multidimensional FitzHugh-Nagumo model using second-order time ...

The Fourier spectral method for determining a heat capacity ...

3.2 introduces the numerical implementation of the direct problem using the Fourier spectral method. In Section. 4, we provide numerical ...

a fourier pseudospectral method for solving coupled viscous burgers ...

results obtained by the Fourier pseudospectral method for the second problem are compared to those obtained by using the Chebyshev spectral collocation method.

Spectral Method - Fourier Transform - Scribd

... Fourier coefficients {uk (t)} using any one of the marching methods which are suitable for hyperbolic equations (explicit or implicit). The entire ...

r/CFD on Reddit: Spectral Methods in Matlab (pdf), A great book on ...

If you're looking for a truly free book on spectral methods, then look at Chebyshev and Fourier Spectral Methods by Dr. ... techniques (implicit ...

Fourier pseudo-spectral method - Encyclopedia of Mathematics

The Fourier pseudo-spectral method is used for problems in which there is a natural periodicity. In multi-dimensional problems it should be used ...