A Class of Multiderivative Hybrid One-step Methods

被引：0
|
作者：
Feng-jian Yang
机构：
来源：
Acta Mathematicae Applicatae Sinica(English Series) | 2002年 / 03期
基金：
中国国家自然科学基金;
关键词：
Hybrid one-step method; rational approximation; A-stability;
D O I：
暂无
中图分类号：
O241 [数值分析];
学科分类号：
070102 ;
摘要：
This paper presents a class of hybrid one-step methods that are obtained by using Cramer’s rule and rational approximations to function exp(q). The algorithms fall into the catalogue of implicit formula, which involves sth order derivative and s+1 free parameters. The order of the algorithms satisfies s+1≤p≤2s+2. The stability of the methods is also studied, necessary and sufficient conditions for A-stability and L-stability are given. In addition, some examples are also given to demonstrate the method presented.
引用
收藏
页码：481 / 488
页数：8
相关论文
共 50 条
  • [41] Automatic step size and order control in implicit one-step extrapolation methods
    G. Yu. Kulikov
    E. Yu. Khrustaleva
    Computational Mathematics and Mathematical Physics, 2008, 48 : 1545 - 1569
  • [42] Automatic Step Size and Order Control in Implicit One-Step Extrapolation Methods
    Kulikov, G. Yu.
    Khrustaleva, E. Yu.
    COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2008, 48 (09) : 1545 - 1569
  • [43] Automatic step size and order control in explicit one-step extrapolation methods
    G. Yu. Kulikov
    E. Yu. Khrustaleva
    Computational Mathematics and Mathematical Physics, 2008, 48 : 1313 - 1326
  • [44] One-step hybrid remapping algorithm for multi-material arbitrary Lagrangian-Eulerian methods
    Kucharik, Milan
    Shashkov, Mikhail
    JOURNAL OF COMPUTATIONAL PHYSICS, 2012, 231 (07) : 2851 - 2864
  • [45] One-step electrodeposited hybrid nanofilms in amperometric biosensor development
    Silina, Yuliya E.
    ANALYTICAL METHODS, 2024, 16 (16) : 2424 - 2443
  • [46] One-step Preparation of Monodisperse Vinyl Hybrid Nanosilica Hydrosol
    Xu, Lihui
    Cai, Zaisheng
    Shen, Yong
    Wang, Liming
    Ding, Ying
    Zou, Rui
    ADVANCED RESEARCH ON MATERIAL ENGINEERING, CHEMISTRY AND ENVIRONMENT, 2013, 788 : 237 - +
  • [47] Electrochemical one-step synthesis of hybrid nanocomposites Au/polymer
    Kolzunova, L. G.
    Shchitovskaya, E. V.
    Karpenko, M. A.
    2018 5TH GLOBAL CONFERENCE ON POLYMER AND COMPOSITE MATERIALS (PCM 2018), 2018, 369
  • [48] EXTENSION OF THE ROUGHNESS CRITERION OF A ONE-STEP SURFACE TO A ONE-STEP LAYER
    Pinel, N.
    Saillard, J.
    Bourlier, C.
    JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS, 2010, 24 (8-9) : 1195 - 1205
  • [49] One-Step Synthesis of Hybrid Nanocrystals with Rational Tuning of the Morphology
    Sang, Wei
    Zheng, Tingting
    Wang, Youcheng
    Li, Xu
    Zhao, Xu
    Zeng, Jie
    Hou, J. G.
    NANO LETTERS, 2014, 14 (11) : 6666 - 6671
  • [50] ADHESION MOLECULE KNOCKOUTS - ONE-STEP FORWARD AND ONE-STEP BACKWARD
    WARD, PA
    JOURNAL OF CLINICAL INVESTIGATION, 1995, 95 (04): : 1425 - 1425
12345