ITERATIVE INCLUSION OF SOLUTIONS IN INITIAL-VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL-EQUATIONS

被引：7

作者：

BAUCH, H

机构：

[1] Sektion Mathematik/Geographye WB Numerische Mathematik und Rechtentechnik, Pädagogische Hochschule Dresden, Dresden, DDR-806, Wigardstraße 17, Germany (Democratic Republic

来源：

COMPUTING | 1979年 / 22卷 / 04期

关键词：

D O I：

10.1007/BF02265314

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This note contains iterative procedures which bound the solution of initial value problems with the aid of interval analytical methods and possibilities for speeding up convergence. © 1979 Springer-Verlag.

引用

页码：339 / 354

页数：16

共 18 条

[1] ALWAYS CONVERGENT HIGHER-ORDER METHODS FOR COMPUTATION OF A REAL ZERO [J].

ALEFELD, G .

COMPUTING, 1974, 13 (01) :55-65

[2] CONVERGENCE OF MONOTONIC INTERVAL SEQUENCES AND MONOTONIC SEQUENCES OF INTERVAL-VALUED FUNCTIONS [J].

BAUCH, H .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1975, 55 (10) :605-606

[3] SOLUTION INCLUSION IN INITIAL VALUE-PROBLEMS OF ORDINARY DIFFERENTIAL-EQUATIONS USING DEFECT METHOD [J].

BAUCH, H .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1977, 57 (JUL) :387-396

[4]

BAUCH H, 1974, THESIS TU DRESDEN

[5]

BEHNKE H, 1962, GRUNDZUGE MATHEMATIK, V3, P463

[6] KONSTRUKTION UND DURCHFUHRUNG VON ITERATIONSVERFAHREN HOHERER ORDNUNG [J].

EHRMANN, H .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1959, 4 (01) :65-88

[7]

HUNGER S, 1971, GMD41 BER

[8]

Kantorovich LV., 1948, USP MAT NAUK, V3, P89

[9]

KRUCKEBERG F, THESIS BONN

[10]

KRUCKEBERG F, 1969, TOPICS INTERVAL ANAL, P91

← 1 2 →