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Home  >  Volume 33

Extended Block Adams-Moulton Method for Stiff Initial Value Problems by K.O. Muka (Pages 71-78 )
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Addition of future points to classical linear multistep methods has been used to circumvent the popular second Dahlquist order barrier and develop new extended Linear Multistep Methods with superior linear stability over Linear Multistep Methods they are developed from. However, adding future points to Adams-Moulton methods failed to yield extended methods with superior stability regions over popular Adams-Moulton methods. This paper seeks to improve stability region of extended Adams-Moulton methods via block formulation. The new block methods developed in this paper are stable for order  .

                Keywords: stable, stable, Block Methods, Stiff IVPs, Zero stable.