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计算数学  2000 

A CLASS OF SELF-ADAPTIVE ONE-BLOCK METHOD AND ITS IMPLEMENTATION WITH VARYING STEPSIZE
一类自适应的单块法及其变步长实现方案

Keywords: One-block method,Stiff ODEs,Parallel computation,A-stable
单块法
,Stiff,ODEs,并行计算,初值问题,变步长

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Abstract:

This paper presents a class of self-staring-type A-stable implicit one-block method with stepsize control for solving stiff ODEs initial value problems on paral- lel computers;gives also its algorithms and implementation strategy with varying stepsize.Theoretical analysis and numerical tests indicate that this one-block method is efficient for solving Stiff ODEs initial value problems.

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