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- W2003455785 abstract "Stability is one of the important properties of time-stepping numerical schemes that are used to approximate partial differential equations. Stability can be analyzed using Von Neumann stability analysis which is a Fourier method. The analysis results in the Von Neumann stability condition which is transformed into a set of universally quantified polynomial inequalities. The universally quantified variables are eliminated by the quantifier elimination using the cylindrical algebraic decomposition algorithm. The resulting stability condition is a set of analytic inequalities which place constraints on the parameters of the numerical scheme. All the stages of the analysis are done using symbolic computation." @default.
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- W2003455785 date "1996-11-01" @default.
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- W2003455785 title "Stability analysis by quantifier elimination" @default.
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- W2003455785 doi "https://doi.org/10.1016/s0378-4754(96)00039-0" @default.
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