The Mathematical Institute, University of Oxford, Eprints Archive

Sharp error estimates for a discretisation of the 1D convection/diffusion equation with Dirac initial data

Giles, M. B. (2004) Sharp error estimates for a discretisation of the 1D convection/diffusion equation with Dirac initial data. Technical Report. Unspecified. (Submitted)

[img]
Preview
PDF
290Kb

Abstract

This paper derives sharp l$\infty$ and l1 estimates of the error arising from an explicit approximation of the constant coefficient 1D convection/diffusion equation with Dirac initial data. The analysis embeds the discrete equations within a semi-discrete system of equations which can be solved by Fourier analysis. The error estimates are then obtained through asymptotic approximation of the integrals resulting from the inverse Fourier transform. this research is motivated by the desire to prove convergence of approximations to adjoint partial differential equations.

Item Type:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1173
Deposited By:Lotti Ekert
Deposited On:14 May 2011 08:44
Last Modified:14 May 2011 08:44

Repository Staff Only: item control page