JC
2008
13 years 4 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 4 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
13 years 10 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
13 years 10 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
13 years 11 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...