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一类自适应的单块法及其变步长实现方案

A CLASS OF SELF-ADAPTIVE ONE-BLOCK METHOD AND ITS IMPLEMENTATION WITH VARYING STEPSIZE
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摘要 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. 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.
机构地区 兰州大学数学系
出处 《计算数学》 CSCD 北大核心 2000年第3期285-294,共10页 Mathematica Numerica Sinica
基金 国家自然科学基金资助项目!(No.19671039)
关键词 单块法 STIFF ODES 并行计算 初值问题 变步长 One-block method, Stiff ODEs, Parallel computation, A-stable
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