A-STABLE Runge Kutta Methods
The Stability Function
Gambar : I didn't like these "strong", "perfect", "absolute", "generalized",
"super", "hyper", "complete" and so on in mathematical defenitions, I wanted something
neutral; and having been impreseed by Daving Young's "property A", I chose
the term " A-stable. (G. Dahlquist in 1979)
"There are at least two ways to combat stiffness, one is to design a better computer,
the other, to design a better algorithm."
The Stability Function
Gambar : I didn't like these "strong", "perfect", "absolute", "generalized",
"super", "hyper", "complete" and so on in mathematical defenitions, I wanted something
neutral; and having been impreseed by Daving Young's "property A", I chose
the term " A-stable. (G. Dahlquist in 1979)
"There are at least two ways to combat stiffness, one is to design a better computer,
the other, to design a better algorithm."
A stability
We observe that some metohds are stable on the entire left half-plane C-,
This is precisely the set of eigenvalues, where the exact solution of (2.9)
is stable too (section I.13 Theorem 13.1) A desirable property for a numerical
methods is that it preserves this stability property:
We observe that some metohds are stable on the entire left half-plane C-,
This is precisely the set of eigenvalues, where the exact solution of (2.9)
is stable too (section I.13 Theorem 13.1) A desirable property for a numerical
methods is that it preserves this stability property:
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