Article information

2000 , Volume 5, ¹ 2, p.105-114

Fomin V.M.

Calculation method for generalized solutions of a unidimensional linear equation of advection

The work deals with constructing a finite-difference method for the calculation of generalized solutions for equations of aero- and hydrodynamics. The advantage of the suggested method is that in using it one can avoid loss of accuracy inevitable for almost all methods in current practice.

[full text] Classificator Msc2000:
*35L45 Initial value problems for hyperbolic systems of first-order PDE
65M06 Finite difference methods
65M12 Stability and convergence of numerical methods
76M20 Finite difference methods
76N15 Gas dynamics, general

Keywords: transport equation, generalized solution, finite-difference method, higher-order approximation, linear advection equation

Author(s):
Fomin Vitalii Mikhailovich
PhD.
Address: 630060, Russia, Novosibirsk


Bibliography link:
Fomin V.M. Calculation method for generalized solutions of a unidimensional linear equation of advection // Computational technologies. 2000. V. 5. ¹ 2. P. 105-114
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