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» On the randomized solution of initial value problems
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JC
2008
87views more  JC 2008»
13 years 4 months ago
The randomized complexity of initial value problems
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...
Stefan Heinrich, Bernhard Milla
DAGSTUHL
2004
13 years 6 months ago
On the Complexity of Parabolic Initial Value Problems with Variable Drift
We study the intrinsic difficulty of solving linear parabolic initial value problems numerically at a single point. We present a worst case analysis for deterministic as well as fo...
Knut Petras, Klaus Ritter
ENTCS
2006
118views more  ENTCS 2006»
13 years 4 months ago
Domain Theoretic Solutions of Initial Value Problems for Unbounded Vector Fields
This paper extends the domain theoretic method for solving initial value problems, described in [8], to unbounded vector fields. Based on a sequence of approximations of the vecto...
Abbas Edalat, Dirk Pattinson
PARA
2004
Springer
13 years 10 months ago
A Domain Theoretic Account of Euler's Method for Solving Initial Value Problems
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...
Abbas Edalat, Dirk Pattinson