Abstract
Two 2-step P-stable methods for the numerical solution of special second order initial value problems are developed in this paper. One is of the Numerov type and of algebraic order 4 and the other is of the Runge-Kutta type and of algebraic order 6. Each of these methods has free parameters which may be chosen so that they are P-stable and have phase-lag of order infinity. The methods are used on problems with oscillatory solutions. The results indicate that these techniques are more efficient than other well known methods.
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© 1997 Springer-Verlag Berlin Heidelberg
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Williams, P.S., Simos, T.E. (1997). Two-step P-stable methods with phase-lag of order infinity for the numerical solution of special second order initial value problems. In: Vulkov, L., Waśniewski, J., Yalamov, P. (eds) Numerical Analysis and Its Applications. WNAA 1996. Lecture Notes in Computer Science, vol 1196. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-62598-4_138
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DOI: https://doi.org/10.1007/3-540-62598-4_138
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