A class of P-stable linear multistep numerical methods

SO Fatunla, MNO Ikhile, FO Otunta - International journal of …, 1999 - Taylor & Francis
SO Fatunla, MNO Ikhile, FO Otunta
International journal of computer mathematics, 1999Taylor & Francis
Dahlquist (1978) barrier theorem which have been generalised by Hairer (1979) has greatly
influenced the development of Linear Multistep methods (LMM) for second order initial value
problems. Currently, emphasis is now on hybrid methods because of their high order and P-
Stability characteristics. This paper which is an extension of Fatunla (1984, 1985) presents P-
stable one-leg LMM and its corresponding one-leg hybrid methods.
Dahlquist (1978) barrier theorem which have been generalised by Hairer (1979) has greatly influenced the development of Linear Multistep methods (LMM) for second order initial value problems. Currently, emphasis is now on hybrid methods because of their high order and P-Stability characteristics. This paper which is an extension of Fatunla (1984, 1985) presents P-stable one-leg LMM and its corresponding one-leg hybrid methods.
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