Interval methods of Adams-Bashforth type with variable step sizes

被引：5

作者：

Marciniak, Andrzej ^{[1
,2
]}

Jankowska, Malgorzata A. ^{[3
]}

机构：

[1] Poznan Univ Tech, Inst Comp Sci, Piotrowo 2, PL-60965 Poznan, Poland

[2] State Univ Appl Sci Kalisz, Dept Comp Sci, Poznanska 201-205, PL-62800 Kalisz, Poland

[3] Poznan Univ Tech, Inst Appl Mech, Jana Pawla II 24, PL-60965 Poznan, Poland

来源：

NUMERICAL ALGORITHMS | 2020年 / 84卷 / 02期

关键词：

Initial value problem; Adams-Bashforth methods; Interval Adams-Bashforth methods; Variable step size; Floating-point interval arithmetic;

D O I：

10.1007/s11075-019-00774-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In a number of our previous papers, we have proposed interval versions of multistep methods (explicit and implicit), including interval predictor-corrector methods, in which the step size was constant. In this paper, we present interval versions of Adams-Bashforth methods with a possibility to change step sizes. This possibility can be used to obtain interval enclosures of the exact solution with a width given beforehand.

引用

页码：651 / 678

页数：28

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