Block methods for second order ODEs.(English)Zbl 0744.65045

Author’s summary: Zero-stable block methods of orders 3/4 are proposed for second-order initial value problems $$y''=f(x,y)$$, $$y(0)$$, $$y'(0)$$ given. The matrix coefficients of the schemes are chosen as to ensure zero-stability and consistency. There is anticipated speed up of computations as a result of admissible parallelism across the method and cheap error estimators.

MSC:

 65L05 Numerical methods for initial value problems involving ordinary differential equations 65L20 Stability and convergence of numerical methods for ordinary differential equations 34A34 Nonlinear ordinary differential equations and systems
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