Add to ORKGIn this paper we present a wavelet Galerkin approximation of the one-dimensional Burgers equation using complex harmonic wavelets. We derive exact expressions for the connection coefficients for the linear dissipation and nonlinear advection terms. A large reduction in the number of space-scale nonlinear modes is obtained by exploiting the band-limited spectra and localisation properties of harmonic wavelets. We discuss the advantages and disadvantages of implementing harmonic wavelets as opposed to the more standard choice of wavelets basis, highlighting the relevance to shell models of turbulence. © 1997 Elsevier Science B.V
International audienceIt is well known that solutions to the Fourier-Galerkin truncation of the invi...
A modified technique is presented for projecting a large class of nonlinear partial differential equ...
It is well known that solutions to the Fourier-Galerkin truncation of the inviscid Burgers equa-tion...
In this paper we present a wavelet Galerkin approximation of the one-dimensional Burgers equation us...
AbstractThis article is dedicated to harmonic wavelet Galerkin methods for the solution of partial d...
This article is dedicated to harmonic wavelet Galerkin methods for the solution of partial different...
This article is dedicated to harmonic wavelet Galerkin methods for the solution of partial different...
It is well known that solutions to the Fourier-Galerkin truncation of the inviscid Burgers equation ...
International audienceIt is well known that solutions to the Fourier-Galerkin truncation of the invi...
International audienceIt is well known that solutions to the Fourier-Galerkin truncation of the invi...
International audienceIt is well known that solutions to the Fourier-Galerkin truncation of the invi...
International audienceIt is well known that solutions to the Fourier-Galerkin truncation of the invi...
International audienceIt is well known that solutions to the Fourier-Galerkin truncation of the invi...
International audienceIt is well known that solutions to the Fourier-Galerkin truncation of the invi...
International audienceIt is well known that solutions to the Fourier-Galerkin truncation of the invi...
International audienceIt is well known that solutions to the Fourier-Galerkin truncation of the invi...
A modified technique is presented for projecting a large class of nonlinear partial differential equ...
It is well known that solutions to the Fourier-Galerkin truncation of the inviscid Burgers equa-tion...
In this paper we present a wavelet Galerkin approximation of the one-dimensional Burgers equation us...
AbstractThis article is dedicated to harmonic wavelet Galerkin methods for the solution of partial d...
This article is dedicated to harmonic wavelet Galerkin methods for the solution of partial different...
This article is dedicated to harmonic wavelet Galerkin methods for the solution of partial different...
It is well known that solutions to the Fourier-Galerkin truncation of the inviscid Burgers equation ...
International audienceIt is well known that solutions to the Fourier-Galerkin truncation of the invi...
International audienceIt is well known that solutions to the Fourier-Galerkin truncation of the invi...
International audienceIt is well known that solutions to the Fourier-Galerkin truncation of the invi...
International audienceIt is well known that solutions to the Fourier-Galerkin truncation of the invi...
International audienceIt is well known that solutions to the Fourier-Galerkin truncation of the invi...
International audienceIt is well known that solutions to the Fourier-Galerkin truncation of the invi...
International audienceIt is well known that solutions to the Fourier-Galerkin truncation of the invi...
International audienceIt is well known that solutions to the Fourier-Galerkin truncation of the invi...
A modified technique is presented for projecting a large class of nonlinear partial differential equ...
It is well known that solutions to the Fourier-Galerkin truncation of the inviscid Burgers equa-tion...