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求解刚性延迟积分微分方程的三阶EBDF方法
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作者 何耀耀 张诚坚 《应用数学》 CSCD 北大核心 2006年第S1期99-101,共3页
本文构造了求解刚性延迟Volterra型积分微分方程的2步3阶EBDF方法,并用数值试验表明这种方法是高度有效的.
关键词 刚性延迟Volterra型积分微分方程 ebdf方法
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A PREDICTOR MODIFICATION TO THE EBDF METHOD FOR STIFF SYSTEMS 被引量:1
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作者 Elisabete Alberdi Juan Jose Anza 《Journal of Computational Mathematics》 SCIE CSCD 2011年第2期199-214,共16页
In this paper we modify the EBDF method using the NDFs as predictors instead of BDFs. This modification, that we call ENDF, implies the local truncation error being smaller than in the EBDF method without losing too m... In this paper we modify the EBDF method using the NDFs as predictors instead of BDFs. This modification, that we call ENDF, implies the local truncation error being smaller than in the EBDF method without losing too much stability. We will also introduce two more changes, called ENBDF and EBNDF methods. In the first one, the NDF method is used as the first predictor and the BDF as the second predictor. In the EBNDF, the BDF is the first predictor and the NDF is the second one. In both modifications the local truncation error is smaller than in the EBDF. Moreover, the EBNDF method has a larger stability region than the EBDF. 展开更多
关键词 Backward differentiation formula (BDF) ebdf PREDICTOR Stability Stiff Systems.
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