Exact numeric solution of non-linear DE systems

被引：0

作者：

Payne, FR ^{[1
]}

机构：

[1] Univ Texas, Dept Mech & Aerosp Engn, Arlington, TX 76019 USA

来源：

DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS | 1999年 / 5卷 / 1-4期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An optimum computer methodology for non-linear DE systems, 1980 [6], "Direct, Formal Integration (DFI)," has been exercised in some 300 non-linear physics problems, with no failures. Sophomores [7] solved second order NL ODEs. DFI modes are: 1) "Simplex," a single integration trajectory; 2) "Multiplex" ("NAD," Natural Anti-Derivative) trajectories for each independent variable. "Exact" means exhaustion of any computer's finite capacity. Applications in introductory courses, 1981-97, and current work on Euler's PDEs, Lorenz' chaos, Tricomi "mixed-type" PDE, and inviscid Burgers' are detailed (also, see [8]). AMS(MOS) subject classification: 34L30, 35J55, 35M10, 45D05, 45G15.

引用

页码：39 / 51

页数：13

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