NA
2007
13 years 10 months ago
2007
Runge-Kutta (RK) pairs furnish approximations of the solution of an initial value problem at discrete points in the interval of integration. Many techniques for enriching these met...
ENTCS
2002
13 years 10 months ago
2002
The initial value problem of the Korteweg-de Vries (KdV) equation posted on the real line R: ut + uux + uxxx = 0, x R, t R u(x, 0) = (x), defines a nonlinear map KR from the ...
ENTCS
2006
13 years 11 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...
AMC
2007
13 years 11 months ago
2007
Moving averages of the solution of an initial value problem for a system of ordinary differential equations are used to extract the general behavior of the solution without follow...
DAGSTUHL
2004
14 years 11 days ago
2004
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...