REDUCING THE WRAPPING EFFECT

被引：6

作者：

BARBAROSIE, C

机构：

[1] C.M.A.F., Lisboa, 1699, Av. Prof. Gama Pinto

来源：

COMPUTING | 1995年 / 54卷 / 04期

关键词：

INTERVAL ARITHMETIC; INTERVAL METHODS FOR THE INITIAL VALUE PROBLEM;

D O I：

10.1007/BF02238232

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 [计算机软件与理论];

摘要：

When solving ODEs by interval methods, the main difficulty is reducing the wrapping effect. Various solutions have been put forward, all of which are applicable for narrow initial intervals or to particular classes of equations only. This paper describes an algorithm which, instead of intervals, uses a larger family of sets. The algorithm exhibits a very small wrapping effect and applies to any type of equation and initial region. For the time being it handles only two-dimensional equations.

引用

页码：347 / 357

页数：11

共 8 条

[1]

ANTOINE L, 1921, J MATH, V8, P221

[2]

CIRCUMSCRIBING AN ELLIPSOID ABOUT INTERSECTION OF 2 ELLIPSOIDS [J].

KAHAN, W .

CANADIAN MATHEMATICAL BULLETIN, 1968, 11 (03) :437-&

[3]

LOHNER RJ, 1978, THESIS U KARLSRUHE

[4]

Moore R.E, 1966, INTERVAL ANAL

[5]

Newman M.H., 1954, ELEMENTS TOPOLOGY PL

[6]

NICKEL K, 1977, MRC1782 U WINC TECHN

[7]

USING INTERVAL-METHODS FOR THE NUMERICAL-SOLUTION OF ODES [J].

NICKEL, KLE .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1986, 66 (11) :513-523

[8]

Nikolsky S. I., 1984, P INT S COSM RAYS PA, P507

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