This paper is about a new research field called Web Intelligence (WI for short) for systematic studies on advanced Web related theories and technologies, as well as the design and implementation of Intelligent Web Information Systems (IWIS).Expand

We give a rough statement of the main result. Let D be a compact subset of ℝ3× ℝ. The propagation u(x, y, z, t) of a wave can be noncomputable in any neighborhood of any point of D even though the… Expand

In this paper we answer an open question raised by Pour-El and Richards: Is the solution operator of the Korteweg-de Vries (KdV) equation computable? The initial value problem of the KdV equation… Expand

We study Turing computability of the solution operators of the initial-value problems for the linear Schrodinger equation of the form iu"t=-@Du+mu+|u|^2u.Expand

It is well known that solutions of the Cauchy problem for general dispersive equations wt + iP (D)w = 0, w(x, 0) = q(x), x ∈ R n , t ∈ R, enjoy the local smoothing property q ∈ H s(Rn) =⇒ w ∈ L ( −… Expand

We show that the initial-boundary-value problem for the KdV equation is Turing computable for any integer m ≥ 2 and computable real number T > 0.Expand

Nonlinear dynamical systems abound as models of natural phenomena. They are often characterized by highly unpredictable behaviour which is hard to analyze as it occurs, for example, in chaotic… Expand