30 search results - page 1 / 6 » A Domain Theoretic Account of Euler's Method for Solving Ini... |
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...
ENTCS
2006
13 years 4 months ago
2006
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...
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, ...
MOC
2010
12 years 11 months ago
2010
This paper could have been given the title: "How to positively and implicitly solve Euler equations using only linear scalar advections." The new relaxation method we pr...
MOC
1998
13 years 4 months ago
1998
The vortex method for the initial-boundary value problems of the Euler equations for incompressible flow is studied. A boundary correction technique is introduced to generate seco...