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

页码：481 / 488

页数：8

共 50 条

[1] A class of multiderivative hybrid one-step methods
Yang F.-J.
Chen X.-M.
Zhang A.-G.
Acta Mathematicae Applicatae Sinica, 2002, 18 (3) : 481 - 488
[2] STABILITY REGIONS FOR ONE-STEP MULTIDERIVATIVE METHODS IN PECE MODE WITH APPLICATION TO STIFF SYSTEMS
KHALIQ, AQM
TWIZELL, EH
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1985, 17 (3-4) : 323 - 338
[3] BLOCK IMPLICIT HYBRID ONE-STEP METHODS
MIAO, JM
JOURNAL OF COMPUTATIONAL MATHEMATICS, 1990, 8 (02): : 99 - 107
[4] Stability Analysis of Multistage One-Step Multiderivative Methods for Nonlinear Impulsive Differential Equations in Banach Spaces
Long, Tao
Yu, Yuexin
MATHEMATICAL PROBLEMS IN ENGINEERING, 2021, 2021
[5] Step Size Bounds for a Class of Multiderivative Explicit Runge-Kutta Methods
Akanbi, Moses A.
Okunuga, Solomon A.
Sofoluwe, Adetokunbo B.
MODELING AND SIMULATION IN ENGINEERING, ECONOMICS, AND MANAGEMENT, MS 2012, 2012, 115 : 188 - 197
[6] MULTISTEP METHODS ARE ESSENTIALLY ONE-STEP METHODS
KIRCHGRABER, U
NUMERISCHE MATHEMATIK, 1986, 48 (01) : 85 - 90
[7] A CLASS OF STABILIZED EXTENDED ONE-STEP METHODS FOR THE NUMERICAL-SOLUTION OF ODES
CHAWLA, MM
ALZANAIDI, MA
ALSAHHAR, MS
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1995, 29 (10) : 79 - 84
[8] A class of one-step one-stage methods for stiff systems of ordinary differential equations
M. V. Bulatov
A. V. Tygliyan
S. S. Filippov
Computational Mathematics and Mathematical Physics, 2011, 51 : 1167 - 1180
[9] A class of one-step one-stage methods for stiff systems of ordinary differential equations
Bulatov, M. V.
Tygliyan, A. V.
Filippov, S. S.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2011, 51 (07) : 1167 - 1180
[10] BLOCK IMPLICIT ONE-STEP METHODS
WATANABE, DS
MATHEMATICS OF COMPUTATION, 1978, 32 (142) : 405 - 414

← 1 2 3 4 5 →