A class of hybrid linear multistep methods with A(α)-stability properties for stiff IVPs in ODEs

R. I. OKUONGHAE; M. N. O. IKHILE

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A class of hybrid linear multistep methods with A(α)-stability properties for stiff IVPs in ODEs

机译：一类具有A（α）稳定性的ODE中刚性IVP的混合线性多步方法

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摘要

In this paper, we consider a family of hybrid linear multistep methods (LMM) with reasonable error order for the numerical solution of stiff initial value problems (IVPs) in ordinary differential equations (ODEs). The methods are A (α)-stable for k = 1,...,9.

机译：在本文中，我们考虑一类具有合理误差阶数的混合线性多步方法（LMM），用于对常微分方程（ODE）中的刚性初值问题（IVP）进行数值求解。对于k = 1，...，9，方法是A（α）稳定的。

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来源
《Journal of numerical mathematics 》 |2013年第2期| 157-172| 共16页
作者
R. I. OKUONGHAE; M. N. O. IKHILE;
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作者单位

Department of Mathematics, University of Benin, P.M.B 1154, Benin City, Edo state. Nigeria;

Department of Mathematics, University of Benin, P.M.B 1154, Benin City, Edo state. Nigeria;

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正文语种 eng
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关键词
hybrid methods; continuous methods; collocation; interpolation; boundary locus; A(α)-stability;

机译：混合方法连续方法;搭配;插值边界轨迹A（α）稳定性;

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专利

1. On the construction of high order A(α)-stable hybrid linear multistep methods for stiff IVPs in ODEs [J] . Okuonghae R.I., Ikhile M.N.O. Numerical analysis and applications . 2012 ,第3期

机译：ODE中刚性IVP的高阶A（α）-稳定混合线性多步法的构造
2. A Continuous Formulation of A(α)-Stable Second Derivative Linear Multistep Methods for Stiff IVPs in ODEs [J] . R. I. Okuonghae, M. N. O. Ikhile Journal of algorithms & computational technology . 2012 ,第1期

机译：ODE中刚性IVP的A（α）-稳定二阶导数线性多步方法的连续表示
3. Numerical Strategies for the System of First Order IVPs Using Block Hybrid Extended Trapezoidal Multistep Method of Second Kind for Stiff ODEs [J] . Yohanna Sani Awari Science Journal of Applied Mathematics and Statistics . 2017 ,第5期

机译：刚性ODE的块混合扩展梯形多步多步法求解一阶IVP系统的数值策略。
4. A parallel linearly implicit method for stiff IVPs [C] . D.A.Voss International conference on parallel and distributed processing techniques and applications;PDPTA'99 . 1999

机译：刚性IVP的并行线性隐式方法
5. Methods of approximation in hpk framework for ODEs in time resulting from decoupling of space and time in IVPs. [D] . Euler, Laurie. 2010

机译：hpk框架中ODE在时间上的近似方法是由于IVP中的空间和时间解耦而产生的。
6. The Development of Models Based on Linear and Nonlinear Multivariate Methods to Predict ADME/PK Properties Using Physicochemical Properties of Kinase Protease Inhibitors and GPCR Antagonists [O] . Deepu Bakasta, M. G. Shambhu 2013

机译：基于线性和非线性多元方法的模型开发可利用激酶蛋白酶抑制剂和GPCR拮抗剂的理化特性预测ADME / PK特性
7. Numerical Strategies for the System of First Order IVPs Using Block Hybrid Extended Trapezoidal Multistep Method of Second Kind for Stiff ODEs [O] . Yohanna Sani Awari 2017

机译：一种使用块混合延伸梯形多学分方法的第一阶IVPS系统的数值策略，其第二种僵硬作用
8. Use of Iterative Linear-Equation Solvers in Codes for Large Systems of Stiff IVPs (Initial-Value Problems) for ODEs (Ordinary Differential Equations) [R] . Chan, T. F., Jackson, K. R. 1984

机译：在用于ODE的大系统刚性IVp（初值问题）的代码中使用迭代线性方程求解器（常微分方程）

A class of hybrid linear multistep methods with A(α)-stability properties for stiff IVPs in ODEs

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