Unconditionally stable higher-order accurate collocation time-step integration algorithms for first-order equations

T.C.Fung

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Unconditionally stable higher-order accurate collocation time-step integration algorithms for first-order equations

机译：一阶方程的无条件稳定高阶精确配置时间步积分算法

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In this paper, unconditionally stable higher-order accurate time-step integration algorithms for linear first-order differential equations based on the collocation method are presented. The amplification factor t the end of the spectrum is a controllable al- gorithmic parameter. The collocation parameters for unconditionally stable higher-order accurate algorithms are for and to be given by the roots of a polynomial in terms of the ultimate amplification factor.

机译：提出了一种基于搭配方法的线性一阶微分方程无条件稳定的高阶精确时间步积分算法。频谱末端的放大因子是可控制的算法参数。无条件稳定的高阶精确算法的搭配参数是针对多项式的根，并由这些多项式的根根据最终放大因子给出。

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《Computer Methods in Applied Mechanics and Engineering》 |2000年第14期|p.1651-1662|共12页
作者
T.C.Fung;
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作者单位

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类自动化基础理论;工程基础科学;
关键词
Time finite element method; Mixed two-field formulation; Single-step time marching schemes; Collocation method;

机译：时间有限元法;混合两场公式;单步时间行进方案;搭配方法;

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2. Higher-order unconditionally stable algorithms to solve the time-dependent Maxwell equations - art. no. 066705 [J] . Kole JS., Figge MT., De Raedt H. Physical review, E. Statistical physics, plasmas, fluids, and related interdisciplinary topics . 2002,第6aPta2期

机译：求解时间相关的麦克斯韦方程组的高阶无条件稳定算法-艺术没有。 066705
3. UNCONDITIONALLY STABLE C~1-CUBIC SPLINE COLLOCATION METHOD FOR SOLVING PARABOLIC EQUATIONS [J] . S. SALLAM, M. NAIM ANWAR, M. R. ABDEL-AZIZ International journal of computer mathematics . 2004,第7期

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4. New Unconditionally Stable Algorithms to Solve the Time-Dependent Maxwell Equations [C] . J.S. Kole, M.T. Figge, H. De Raedt . 2002

机译：解决时间相关的麦克斯韦方程组的新无条件稳定算法
5. Higher-order algorithms for the numerical integration of stochastic differential equations. [D] . Honeycutt, Rebecca Lee. 1990

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6. On the Integration of Coupled First-Order Rate Equations [O] . Darwin Thusius 1978

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7. Higher-order unconditionally stable algorithms to solve the time-dependent Maxwell equations [O] . Kole J.S., Figge M.T, de Raedt H.A. 2002

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8. Unconditionally Stable Integration of Maxwell's Equations [R] . Verwer, J. G., Botchev, M. A. 2008

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Unconditionally stable higher-order accurate collocation time-step integration algorithms for first-order equations

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