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Error Propagation in Stiff Differential Systems of Singular Perturbation Type

机译：奇异摄动型刚性微分系统的误差传播

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摘要

A nonautonomous linear system is taken as a model problem for the investigation of the error propagation in the discretization of a stiff differential equation of singular perturbation type: dy/dt = f(t,y,z); epsilon dz/dt = g(t,y,z) epsilon is much less than 1. A partitioned analysis of the error propagation is given, using the theory of G-contractivity. Results show that it is advantageous to use different methods for the two subsystems. The method used for the second equation need only have good stability properties while the other method can be chosen primarily to give high accuracy.

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作者
Soederlind, G.; Dahlquist, G.;
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年度 1981
页码 p.1-38
总页数 38
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Difference equations; Differential calculus; Differential equations; Error analysis; Matrices (Mathematics); Truncation errors; Linear systems; Numerical stability; Partitions (Mathematics); Perturbation theory; Singularity (Mathematics);

机译：差分方程;微分方程;微分方程;误差分析;矩阵（数学）;截断误差;线性系统;数值稳定性;分区（数学）;微扰理论;奇点（数学）;

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专利

1. Singular Perturbations of First-Order Hyperbolic Systems with Stiff Source Terms [J] . Wen-An Yong Journal of Differential Equations . 1999,第1期

机译：具有刚性源项的一阶双曲系统的奇摄动
2. Error analysis of variable stepsize Runge-Kutta methods for a class of multiply-stiff singular perturbation problems [J] . Ai-Guo Xiao Computers & mathematics with applications . 2007,第12期

机译：一类多重刚性奇异摄动问题的变步长Runge-Kutta方法的误差分析
3. Error of partitined Runge-Kutta Methods for Multiple Stiff Singular Perturbation Problems [J] . A.Xiao, S.LiXiangtan Computing . 1999,第4期

机译：多重刚性奇异摄动问题的部分Runge-Kutta方法的误差
4. PD-Regulators Design Problem for Robotic Type Systems with Singular Perturbations [C] . Natalia Voropaeva, Vladimir Sobolev International Conference on Information Technology and Nanotechnology . 2020

机译：具有奇摄动的机器人类型系统的PD调节器设计问题
5. Global existence of solutions and propagation of regularity for quasilinear viscoelastic systems of differential type. [D] . Tvedt, Brian Christopher. 1997

机译：差分类型的拟线性粘弹性系统的整体解和正则性传播。
6. On the Singular Perturbations for Fractional Differential Equation [O] . Abdon Atangana -1

机译：关于分数阶微分方程的奇摄动
7. Representations of solutions of abstract second order differential equations with applications to stiff equations and singular perturbations [O] . Eisenfeld J 1973

机译：抽象二阶微分方程解的表示及其在刚性方程和奇异摄动中的应用
8. SINGULAR PERTURBATIONS OF TWO POINT BOUNDARY PROBLEMS FOR SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS [R] . W. A. Harris 1959

机译：常微分方程组两点边值问题的奇摄动

Error Propagation in Stiff Differential Systems of Singular Perturbation Type

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