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Zero-stable Block methods of orders 3/4 are proposed for Second Order Initial Value Problems given. The matrix coefficients of the schemes are chosen as to ensure zero-stability and consistency (hence convergence of the resultant schemes). There is anticipated speed up of computa-tions as a result of admissible parallelism across the method (or time) and cheap error estimators.
Simeon Ola Fatunla (Tue,) studied this question.
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