A wide family of finite-differences methods for the linear advection equation, based on a six-point stencil, is presented. The family depends on three parameters and includes most of the classical linear schemes. A stability and consistency analysis is carried out of the parameters. The problem of the determination of the parameters providing the best approximation is also addressed.
A general class of finite-difference methods for the linear transport equation / Funaro, Daniele; G., Pontrelli. - In: COMMUNICATIONS IN MATHEMATICAL SCIENCES. - ISSN 1539-6746. - STAMPA. - 3:3(2005), pp. 403-423. [10.4310/CMS.2005.v3.n3.a7]
A general class of finite-difference methods for the linear transport equation
FUNARO, Daniele;
2005
Abstract
A wide family of finite-differences methods for the linear advection equation, based on a six-point stencil, is presented. The family depends on three parameters and includes most of the classical linear schemes. A stability and consistency analysis is carried out of the parameters. The problem of the determination of the parameters providing the best approximation is also addressed.File | Dimensione | Formato | |
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