Implementing semi|implicit Fourier spectral method

Applications of semi-implicit Fourier-spectral method to phase field ...

The time variable is discretized by using semi-implicit schemes which allow much larger time step sizes than explicit schemes; the space variables are ...

Implementing semi-implicit Fourier spectral method - Julia Discourse

I'm trying to implement the semi-implicit Fourier spectral method described here. It is basically a fourth-order phase-field equation, ...

Applications of semi-implicit Fourier-spectral method to phase field ...

To reduce the computational cost, the nonlinear term. {ƒ(n")} should be evaluated by using the so-called transform method developed by Orszag (see, for in-.

Applications of semi-implicit Fourier-spectral method to phase field ...

We demonstrate that, for a specified accuracy of 0.5%, the speedup of using semi-implicit Fourier-spectral method, when compared with the explicit finite- ...

Solving Cahn-Hilliard equation using semi-implicit Fourier spectral ...

Or is it me who implemented something the wrong way ? Since I'm using Fourier spectral methods for physical differentiation, I'm assuming the ...

Applications of Semi-Implicit Fourier-Spectral Method to Phase Field ...

The time variable is discretized by using semi-implicit schemes which allow much larger time step sizes than explicit schemes; the space ...

Coarsening kinetics from a variable-mobility Cahn-Hilliard equation

An efficient semi-implicit Fourier spectral method is implemented to solve the Cahn-Hilliard equation with a variable mobility. The method is orders of ...

A phase-field model study using semi Implicit Fourier spectral ...

Phase field modelling, a robust computational approach for modelling, predicting microstructure evolution and to speculate mesoscale ...

Chapter 7. Fourier spectral methods - People

To be implemented in practice, a spectral method requires a bounded domain. ... implementation of implicit formulas can be a formidable problem. Therefore ...

Applications of semi-implicit Fourier-spectral method to phase field ...

An efficient and accurate numerical method is implemented for solving the time-dependent Ginzburg-Landau equation and the Cahn-Hilliard equation.

on second order semi-implicit fourier spectral methods for 2d cahn ...

stability for a large class of stabilized semi-implicit numerical schemes for general phase field models. In our recent work [22] by using harmonic analysis ...

Fourier-Spectral Method for the Phase-Field Equations - MDPI

The Fourier-spectral method is highly accurate and simple to implement. We present a detailed description of the method and explain its connection to MATLAB ...

CHARACTERIZING THE STABILIZATION SIZE FOR SEMI-IMPLICIT ...

By using the method in [19], one can prove a well-posedness for ... Cahn-Hilliard equation: Application of a semi-implicit Fourier spectral method, Phys.

Coarsening kinetics from a variable-mobility Cahn-Hilliard equation

An efficient semi-implicit Fourier spectral method is implemented to solve the Cahn-Hilliard equation with a variable mobility.

Performance Benchmark of Cahn–Hilliard Equation Solver with ...

Dive into the research topics of 'Performance Benchmark of Cahn–Hilliard Equation Solver with Implementation of Semi-implicit Fourier Spectral Method'. Together ...

Performance Benchmark of Cahn–Hilliard Equation Solver with ...

Performance Benchmark of Cahn–Hilliard Equation Solver with Implementation of Semi-implicit Fourier Spectral Method. Original Article ...

Efficiency and accuracy of GPU-parallelized Fourier spectral ... - arXiv

Here, we quantitatively test the efficiency and accuracy of semi-implicit Fourier spectral-based methods, implemented in Python programming ...

A Fourier Spectral Moving Mesh Method for the Cahn-Hilliard ...

The Fourier spectral method and its semi-implicit implementation have shown to be particularly efficient for systems in which the morphologies and ...

On Second Order Semi-implicit Fourier Spectral Methods for 2D ...

By using this a priori H1 bound and the fact that the critical space in 2D is L2, one can deduce global wellposedness in Hs for any s ≥ 0. There is an extensive ...

Characterizing the Stabilization Size for Semi-Implicit Fourier ...

Recent results in the literature provide computational evidence that the stabilized semi-implicit time-stepping method can efficiently simulate phase field ...