论文信息 - The symbolic generation of finite-difference formulae

The symbolic generation of finite-difference formulae

We describe here a framework for automatic symbolic discretization of various functional expressions. Typical examples include the construction of finite-difference formulae on irregular grids, integration formulae with variable knots, and special-purpose compact finite difference formulae.

Robert M. Corless | Jacek Rokicki

[1] Robert M. Corless,et al. The row echelon decomposition of a matrix , 1989 .

[2] J. Butcher. The Numerical Analysis of Ordinary Di erential Equa-tions , 1986 .

[3] Jacek Rokicki,et al. Domain decomposition and the compact fourth-order algorithm for the Navier-Stokes equations , 1995 .

[4] S. Dennis,et al. Compact h4 finite-difference approximations to operators of Navier-Stokes type , 1989 .

[5] S. Lele. Compact finite difference schemes with spectral-like resolution , 1992 .