Strong Consistency and Thomas Decomposition of Finite Difference Approximations to Systems of Partial Differential Equations
Vladimir P. Gerdt,
Daniel Robertz,
Yuri A. Blinkov
Abstract:For a wide class of polynomially nonlinear systems of partial differential equations we suggest an algorithmic approach that combines differential and difference algebra to analyze s(trong)-consistency of finite difference approximations. Our approach is applicable to regular solution grids. For the grids of this type we give a new definition of s-consistency for finite difference approximations which generalizes our definition given earlier for Cartesian grids. The algorithmic verification of s-consistency pr… Show more
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