A Hybrid Numerical Technique for the Solution of a Class of Implicit Matrix Differential Equation

机译：一类隐式矩阵微分方程求解的混合数值技术

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This paper is concerned with the numerical solution of an implicit matrix differential system of the form Y~T Y - F(t, Y) = 0, where Y(t) is a n x n real matrix which may converge to a singular matrix. We propose a hybrid numerical technique based on an implicit second order Runge Kutta scheme which derives a particular algebraic Riccati equation and via its solution approximates the solutions of the differential problem at hand. Numerical examples demonstrating the behavior of the proposed approach are also reported.

机译：本文涉及形式为Y〜T Y-F（t，Y）= 0的隐式矩阵微分系统的数值解，其中Y（t）是可收敛为奇异矩阵的n x n实矩阵。我们提出了一种基于隐式二阶Runge Kutta方案的混合数值技术，该方案导出了一个特殊的代数Riccati方程，并通过其解近似了当前微分问题的解。数值示例也证明了所提出的方法的行为。

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来源
《International Conference on Computational Science pt.4; 20040606-20040609; Krakow; PL》|2004年|P.459-466|共8页
会议地点 Krakow(PL);Krakow(PL)
作者
Nicoletta Del Buono; Luciano Lopez;
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作者单位

Dipartimento di Matematica, Universita degli Studi di Bari, Via E. Orabona, 4, I-70125 Bari, ITALY;

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原文格式 PDF
正文语种 eng
中图分类理论、方法;
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4. A Hybrid Numerical Technique for the Solution of a Class of Implicit Matrix Differential Equation [C] . Nicoletta Del Buono, Luciano Lopez International Conference on Computational Science . 2004

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7. A hybrid numerical techniques for the solution of a class of implicit matrix differential equation [O] . DEL BUONO N, LOPEZ L 2004

机译：一类隐式矩阵微分方程求解的混合数值技术

A Hybrid Numerical Technique for the Solution of a Class of Implicit Matrix Differential Equation

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