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요약정보
多步Runge-Kutta方法的保单调性 / MONOTONICITY-PRESERVING MULTISTEP RUNGE-KUTTA METHODS
Resource Type
Academic Journal
Authors
甘四清
;
史可
;
Gan Siqing
;
Shi Ke
Source
计算数学 / MATHEMATICA NUMERICA SINICA
. 32(3):247-264
Subject
常微分方程初值问题
多步Runge-Kutta方法
单调性
一般线性方法
Language
Chinese
ISSN
0254-7791
Online Access
Find it @ DONGA
초록
一类重要的常微分方程源自用线方法求解非线性双曲型偏微分方程,这类常微分方程的解具有单调性,因此要求数值方法能保持原系统的这种性质.本文研究多步Runge-Kutta方法求解常微分方程初值问题的保单调性.分别获得了多步Runge-Kutta方法是条件单调和无条件单调的充分条件.
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