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- W2031279116 abstract "Classes of Runge–Kutta methods preserving the monotonicity of ordinary and delay differential equations are identified. Essentially, the vector b and the matrix A from the Butcher tableau should be such that all components of b are positive and all components of the matrix B(r)A, where B(r) is the inverse of the matrix I+rA, are nonnegative for sufficiently small positive r. The latter is satisfied by all explicit, diagonally-implicit and fully implicit Runge–Kutta methods for which all of the components of the matrix A, except those that are zero by definition, are positive." @default.
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- W2031279116 date "2003-09-01" @default.
- W2031279116 modified "2023-09-23" @default.
- W2031279116 title "Runge–Kutta Methods for Monotone Differential and Delay Equations" @default.
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- W2031279116 doi "https://doi.org/10.1023/b:bitn.0000007059.99601.18" @default.
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