Complexity of initial-value problems for ordinary differential equations of order k

We study the worst-case ɛ -complexity of nonlinear initial-value problems u ( k ) ( x ) = g x , u ( x ) , u ′ ( x ) , … , u ( q ) ( x ) , x ∈ [ a , b ] , 0 ⩽ q < k , with given initial conditions. We assume that function g has r ( r ⩾ 1 ) continuous bounded partial derivatives. We consider two ty...

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Bibliographic Details

Published in:	Journal of Complexity Vol. 22; no. 4; pp. 514 - 532
Main Author:	Szczęsny, Marek
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 01.08.2006
Subjects:	Integral information kth order initial-value problems Linear information Standard information Worst-case complexity kth order initial-value problems Worst-case complexity Integral information Standard information Linear information
ISSN:	0885-064X, 1090-2708
Online Access:	Get full text
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