This paper presents an application of the nonlinear optimal control techniques to the design of launch vehicle autopilots. The optimal control is given by the solution to the Hamilton-Jacobi-Bellman (HJB) equation, which in this case cannot be solved explicity. A method based upon Successive Galerkin Approximation (SGA), is used to obtain an approximate optimal solution. Simulation results invo...

Embedded zerotree of wavelet coef ic ient ( E Z W) algori thm has become a n efSective way of compressing images. T h e use of multistage vector quantizer ( M S V Q ) provides successive-approximation coding f o r vectors. A n e w algorithm i s proposed tha t provides good quality of reconstructed images at very low bit rates. T h e algorithm uses successive-approximation quantization of both s...

In this paper we shall study a functional differential equation of second order with mixed type argument. For this problem we give an algorithm based on the step method and the successive approximation method.

The development of fast numerical methods for multilevel radiative transfer (RT) applications often leads to important breakthroughs in astrophysics, because they allow the investigation of problems that could not be properly tackled using the methods previously available. Probably, the most familiar example is the so-called Multilevel Accelerated Λ-Iteration (MALI) technique of Rybicki & Humme...

We shall study a weak solution in the Sobolev space of the transmission problem for the Laplace equation using the integral equation method. First we use the indirect integral equation method. We look for a solution in the form of the sum of the double layer potential corresponding to the skip of traces on the interface and a single layer potential with an unknown density. We get an integral eq...