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Spectral Methods and Their Applications


[2105.13158] Moment preserving Fourier-Galerkin spectral methods ...

Abstract:Spectral methods, thanks to the high accuracy and the possibility of using fast algorithms, represent an effective way to ...

Spectral Methods Fundamentals In Single Domains Scientific ...

guo b spectral methods and their applications legendre spectral collocation method for''read download spectral methods pdf pdf download. May ...

Sparse spectral methods for partial differential equations on ...

Abstract. In recent years, sparse spectral methods for solving partial differential equations have been derived using hierarchies of ...

Spectral Methods in Econometrics. - RAND

The final chapter of the study illustrates the application of spectral techniques to an econometric problem: Income and consumption time series are examined ...

Convergence of Spectral Methods for Burgers' Equation - jstor

in the space X = L2 (f). We have in mind the application to spectral methods, so we take general weighted Sobolev spaces with weight w (x)> 0. As usual, we ...

Spectral methods utilizing generalized Bernstein‐like basis ...

The properties and behaviors of these functions are examined, highlighting their practical applications. The space-time spectral methods ...

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 ...

Spectral methods within fractional calculus - De Gruyter

Spectral methods within fractional calculus was published in Volume 8 Applications in Engineering, Life and Social Sciences, Part B on page 207.

Spectral and Pseudo Spectral Methods for Advection Equations*

Gottlieb and Orzag present many spectral applications in [7]. Numerical evidence sup- porting spectral type approximations is abundant in the literature, see ...

Space-time spectral methods for partial differential equations

, their applications to time-dependent PDEs typically enforce a finite difference scheme in time. The ... the ultraspherical spectral (US) methods, are ...

Spectral Methods & Their Applications : Guo, Ben-Yu

Particular attention is paid to the applications of spectral methods to nonlinear problems arising in fluid dynamics, quantum mechanics, weather prediction, ...

Solution of the Schrtidinger Equation by a Spectral Method*

For either application, the currently available numerical methods for solving the time-.

Spectral Methods: Evolution to Complex Geometries and ...

Spectral methods, particularly in their multidomain version, have become firmly established as a mainstream tool for scientific and engineering computation.

School on spectral methods

Although the applications and examples will deal with problems in the framework of either General Relativity or Gauge Field Theory, participants ...

Spectral Methods in Matlab - Internet Archive Scholar

Yet spectral methods implemented without the FFT are powerful, too, and in many applications it is quite satisfactory to work with explicit matrices. Most.

Chebyshev Spectral Methods and the Lane-Emden Problem

We apply a Chebyshev pseudospectral method to discretize x. The Lane-Emden equation has branch point singularities at the endpoint x = 1 whenever m is not ...

Chebyshev Spectral Method for Singular Moving Boundary ...

In addition to the general method, we introduce computational techniques which enhance its performance for singular problems. These include derivative ...

Numerical Analysis of Spectral Methods : Theory and Applications ...

Numerical Analysis of Spectral Methods : Theory and Applications (CBMS-NS - GOOD ; SecondSalecom (3681104) ; Detailed seller ratings. Average for the last 12 ...

A review of the application of spectral methods in computational ...

The following sections of this article will introduce the basic principles of spectral methods and their applications in ocean acoustics, ...

Spectral Methods for Partial Differential Equations

In this article we present the essential aspects of spectral methods and their applications to the numerical solution of Partial Differential ...