Derivation of High-Order Finite Difference Approximations
We use symbolic computations to derive high-order finite difference
approximations of partial differential equations, namely the Poisson and
convection-diffusion equations.
Selected Publications
- Murli M. Gupta and Jules Kouatchou,
Symbolic derivation of finite difference approximations for three
dimensional Poisson equation,
Int. J. Numerical Methods for Partial Differential Equations,
Vol. 14, no. 5, p. 593-606 (1998).
- Jun Zhang, Lixin Ge and Jules Kouatchou,
A two colorable fourth order compact difference scheme and
parallel iterative solution of the 3D convection-diffusion
equation,
Mathematics and Computers in Simulation, Vol. 54 (1-3), p. 67-83 (2000).
- Jun Zhang, Jules Kouatchou and Lixin Ge,
A family of fourth order difference schemes on rotated grid for
two dimensional convection-diffusion equations,
Mathematics and Computers in Simulation, Vol. 59, p. 413-429 (2002).
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