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

- REGISTER - ... J. Math. Study, 50 (2017), pp. 291-306. ... An optimal error estimate in L2 L 2 -norm for Fourier spectral method is presented for the Kawahara ...

An optimal error estimate in L2−norm for Fourier spectral method is pre- sented for the Kawahara equation with periodic boundary conditions. A numerical example ...

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

Abstract. An optimal error estimate in L2−norm for Fourier spectral method is pre- sented for the Kawahara equation with periodic boundary conditions.

Optimal Error Estimate of Fourier Spectral ... - Global Science Press

An optimal error estimate in L2 L 2 -norm for Fourier spectral method is presented for the Kawahara equation with periodic boundary conditions. A numerical ...

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

Request PDF | On Oct 1, 2017, Zhenguo Deng published Optimal Error Estimate of Fourier Spectral Method for the Kawahara Equation | Find, read and cite all ...

Optimal error estimate of a linear Fourier pseudo-spectral scheme ...

[31] studied a class of discrete-time orthogonal cubic spline collocation method for KGS equations, which conserves the discrete energy and has second-order ...

BibteX

@Article{JMS-50-291, author = {Deng , Zhenguo}, title = {Optimal Error Estimate of Fourier Spectral Method for the Kawahara Equation}, journal = {Journal of ...

(PDF) Error Estimate for a Fully Discrete Spectral Scheme for ...

... though the error estimate for the projection is optimal, see Remark 2.1. ... Optimal Error Estimate of Fourier Spectral Method for the Kawahara ...

Optimal error estimate of a conformal Fourier pseudo‐spectral ...

In this article, a Fourier pseudospectral method, which preserves the conforal conservation la, is proposed for solving the damped nonlinear ...

Numerical Solution for Kawahara Equation by Using Spectral Methods

An optimal error estimate in L2−norm for Fourier spectral method is presented for the Kawahara equation with periodic boundary conditions.

Optimal error estimate of a conservative Fourier pseudo-spectral ...

Then, we are able to prove that the Fourier pseudo-spectral method is unconditionally convergent with order O(τ2 + Nα/2−r) in the discrete L∞ ...

Error estimate for a fully discrete spectral scheme for Korteweg-de ...

These equations are discretized in space by the standard Fourier-Galerkin spectral method and in time by the explicit leap-frog scheme. For the resulting ...

Optimal error estimate of a conformal Fourier pseudo‐spectral ...

We propose a Fourier pseudo-spectral method which preserves the discrete total conformal mass conservation law of the DNLS equation. A priori ...

Publications -- Jie Shen - Purdue Math

(with Xiaoli Li) Stability and Error estimates of the SAV Fourier-spectral method for the Phase Field Crystal Equation. Adv. Comput. Math. 46:48, 2020 ...

Optimal error estimate of a linear Fourier pseudo-spectral scheme ...

Optimal error estimate of a linear Fourier pseudo-spectral scheme for two dimensional Klein–Gordon–Schrödinger equations.

Error estimate for a fully discrete spectral scheme for Korteweg-de ...

These equations are discretized in space by the standard Fourier-Galerkin spectral method and in time by the explicit leap-frog scheme. For the ...

Optimal Error Estimates of the Chebyshev--Legendre Spectral ...

The scheme is basically formulated in the Legendre spectral form but with the nonlinear term being treated by the Chebyshev collocation method so that the ...

Multi-Symplectic Fourier Pseudospectral Method for the Kawahara ...

By using the relationship, we can apply the Fast Fourier transform to solve the Kawahara equation. The effectiveness of the proposed methods will be ...

Spectral Methods. Algorithms, Analysis and Applications (Springer ...

Our analysis is based on the non-uniformly weighted Sobolev spaces which lead to simplified analysis and more precise estimates, particularly for problems with.

Error estimate for a fully discrete spectral scheme for Korteweg-de ...

Optimal Error Estimate of Fourier Spectral Method for the Kawahara Equation · Zhen-guo Deng. Mathematics. 2017. An optimal error estimate in L2 ...