L- Stability
The trapezoidal rule for the numerical integration of first oreder
ordinary differential equations is shown to possess, for a certain
type of problem, an undesirable property. (A.R Gourlay 1970)
"A-stability is not the whole answer to the problem of stiff
equations." (R. Alexander 1977).
The trapezoidal rule for the numerical integration of first oreder
ordinary differential equations is shown to possess, for a certain
type of problem, an undesirable property. (A.R Gourlay 1970)
"A-stability is not the whole answer to the problem of stiff
equations." (R. Alexander 1977).
A(a)-Stability
The defenition of A-stability is on the one hand too weak, as we have just seen, and on the other
hand too strong in the sense that many methods which are not so bad at all are not A-stable.
The following defenition is a little weaker and will be specially useful in the chapter on
multistep methods.
The defenition of A-stability is on the one hand too weak, as we have just seen, and on the other
hand too strong in the sense that many methods which are not so bad at all are not A-stable.
The following defenition is a little weaker and will be specially useful in the chapter on
multistep methods.
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