A TVD Type Wavelet-Galerkin Method for Hamilton-Jacobi Equations

Autor:	Ling-yan Tang, Song-he Song
Rok vydání:	2007
Předmět:	Daubechies wavelet Wavelet Applied Mathematics Mathematical analysis Resolution of singularities Numerical tests Type (model theory) Galerkin method Computer Science::Numerical Analysis Scaling Hamilton–Jacobi equation Mathematics::Numerical Analysis Mathematics
Zdroj:	Acta Mathematicae Applicatae Sinica, English Series. 23:303-310
ISSN:	1618-3932 0168-9673
Popis:	In this paper, we use Daubechies scaling functions as test functions for the Galerkin method, and discuss Wavelet-Galerkin solutions for the Hamilton-Jacobi equations. It can be proved that the schemes are TVD schemes. Numerical tests indicate that the schemes are suitable for the Hamilton-Jacobi equations. Furthermore, they have high-order accuracy in smooth regions and good resolution of singularities.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::0bbe51b26d0775f58aa5cb9bd315ed70 https://doi.org/10.1007/s10255-007-0372-5 Zobrazit plný text záznamu Full text from SpringerLink