检索结果-南通市图书馆

Optimized Hybrid Block Adams method for Solving First Order Ordinary Differential Equations

Computers, Materials & Continua 2022年第8期72卷 2947-2961页

作者： Hira Soomro Nooraini Zainuddin Hanita Daud Joshua Sunday Department of Fundamental and Applied Sciences Universiti Teknologi PETRONAS32610Seri IskandarPerakMalaysia Department of Mathematics University of Jos930003JosNigeria

multistep integration methods are being extensively used in the simulations of high dimensional systems due to their lower computational cost.The block methods were developed with the intent of obtaining numerical results on numerous points at a time and improving computational efficiency.Hybrid block methods for instance are specifically used in numerical integration of initial value problems.In this paper,an optimized hybrid block Adams block method is designed for the solutions of linear and nonlinear first-order initial value problems in ordinary differential equations(ODEs).In deriving themethod,the Lagrange interpolation polynomial was employed based on some data points to replace the differential equation function and it was integrated over a specified interval.Furthermore,the convergence properties along with the region of stability of the method were examined.It was concluded that the newly derived method is convergent,consistent,and zero-stable.The method was also found to be A-stable implying that it covers the whole of the left/negative half plane.From the numerical computations of absolute errors carried out using the newly derived method,it was found that the method performed better than the ones with which we compared our results with.Themethod also showed its superiority over the existing methods in terms of stability and convergence.

关键词： Initial value problem(IVPs) linear multi-step method block interpolation hybrid Adams-Moulton method

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

EXPANSIONS OF step-TRANSITION OPERATORS OF multi-step methodS AND ORDER BARRIERS FOR DAHLQUIST PAIRS

引用

Journal of Computational Mathematics 2006年第1期24卷 45-58页

作者： Quan-dong Feng Yi-fa Tang LSEC ICMSEC Academy of Mathematics and System Sciences Chinese Academy of Sciences Beijing 100080 China Graduate School of the Chinese Academy of Sciences Beijing 100080 China

Using least parameters, we expand the step-transition operator of any linear multi-step method （LMSM） up to O（τ^s＋5） with order s = 1 and rewrite the expansion of the steptransition operator for s = 2 （obtained by the second author in a former paper）. We prove that in the conjugate relation G3^λτ o G1^τ =G2^τ o G3^λτ with G1 being an LMSM,（1） theorder of G2 can not be higher than that of G1; （2） if G3 is also an LMSM and G2 is a symplectic B-series, then the orders of G1, G2 and G3 must be 2, 2 and 1 respectively.

关键词： linear multi-step method step-Transition Operator B-series Dahlquist（Conjugate） pair Symplecticity

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

NON-EXISTENCE OF CONJUGATE-SYMPLECTIC multi-step methodS OF ODD ORDER

引用

Journal of Computational Mathematics 2007年第6期25卷 690-696页

作者： Yandong Jiao Guidong Dai Quandong Feng Yifa Tang LSEC ICMSEC Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijin9 100080 China Graduate School of the Chinese Academy of Sciences Beijin9 100080 China LSEC ICMSEC Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100080 China

We prove that any linear multi-step method G1^T of the form ∑k=0^mαkZk = T∑k=0^mβkJ^-1↓ΔH（Zk） with odd order u （u≥ 3） cannot be conjugate to a symplectic method G2^T of order w （w 〉 u） via any generalized linear multi-step method G3^T of the form ∑k=0^mαkZk = T∑k=0^mβkJ^-1↓ΔH（∑l=0^mγklZl）. We also give a necessary condition for this kind of generalized linear multi-step methods to be conjugate-symplectic. We also demonstrate that these results can be easily extended to the case when G3^T is a more general operator.

关键词： linear multi-step method Generalized linear multi-step method step-transition operator Infinitesimally symplectic Conjugate-symplectic.

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

A Note on Symplecticity of step-Transition Mappings for multi-step methods

A Note on Symplecticity of Step-Transition Mappings for Mult...

引用

保结构算法2004

作者： Gui-Dong Dai & Yi-Fa Tang LSEC, ICMSEC Academy of Mathematics & Systems Science Chinese Academy of Sciences P.O. Box 2719, Beijing 100080. P.R. China Graduate School of the Chinese Academy of Sciences Beijing 100080. P.R. China

＜正＞We prove that for a linear multi-step method , even though the mappings Z0→Z1,…, Zm-2→Zm-1 are chosen to be symplectic, Zm-1→Zm will be non-symplectic. Similarly, there is an interesting result for a sort of... 详细信息

关键词： linear multi-step method Infinitesimally Symplectic Symplecticity General linear method

来源： cnki会议评论

在线全文

cnki会议

学校读者我要写书评

暂无评论

欢迎您,

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

在线全文

在线全文

在线全文

在线全文

请选择保存的检索档案：

请选择收藏分类：

通借通还

欢迎您,

建议与咨询 留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

在线全文

在线全文

在线全文

在线全文

请选择保存的检索档案： 新增检索档案 确定 取消

请选择收藏分类： 新增自定义分类 确定 取消

通借通还

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

请选择保存的检索档案：

请选择收藏分类：