JC
2008
13 years 11 months ago
2008
We study the complexity of randomized solution of initial value problems for systems of ordinary differential equations (ODE). The input data are assumed to be -smooth ( = r+ : th...
AMC
2006
13 years 11 months ago
2006
The main purpose of this paper is to discuss the equilibrium attractive properties of a class of multistep Runge
PARA
2004
Springer
14 years 4 months ago
2004
Springer
Abstract. This paper presents a method of solving initial value problems using Euler’s method, based on the domain of interval valued functions of a real variable. In contrast to...
ICALP
2004
Springer
14 years 4 months ago
2004
Springer
We present a domain-theoretic version of Picard’s theorem for solving classical initial value problems in Rn . For the case of vector fields that satisfy a Lipschitz condition, ...
EUROPAR
2007
Springer
14 years 5 months ago
2007
Springer
Iterated Runge-Kutta (IRK) methods are a class of explicit solution methods for initial value problems of ordinary differential equations (ODEs) which possess a considerable poten...