Rapid and accurate rendezvous proximity operations for spacecraft are crucial to the success of most space missions. In this paper, a sequential convex programming method, combined with first-order second-order Birkhoff pseudospectral methods, is proposed autonomous spacecraft. The original nonlinear nonconvex close-range problem thrust constraints no-fly zone converted into its version by usin...

We adopt a multidomain pseudospectral method to analyze lamellar gratings for general conical diffraction from TE and TM diffractions. The validity and usefulness of this approach are demonstrated through normal metallic lossy and highly conductive lossless gratings. The developed method provides excellent numerical stability and convergence over commonly used rigorous couple wave analysis (RCW...

A method for computing highly accurate numerical solutions of 1D convection–diffusion equations is proposed. In this method, the equation is first discretized with respect to the spatial variable, transforming the original problem into a set of ordinary differential equations, and then the resulting system is integrated in time by the fourth-order Runge–Kutta method. Spatial discretization is d...

The analysis and solution of wave equations with absorbing boundary conditions by using a related first order hyperbolic system has become increasingly popular in recent years. At variance with several methods which rely on this transformation, we propose an alternative method in which such hyperbolic system is not used. The method consists of approximation of spatial derivatives by the Chebysh...

The roundoo error analysis of several algorithms commonly used to compute the Fast Cosine Transform and the derivatives using the Chebyshev pseudospectral method are studied. We derive precise expressions for the algorithmic error, and using them we give new theoretical upper bounds and produce a statistical analysis. The results are compared with numerical experiments.

RBF-Pseudospectral is used for the numerical solution of complex modified Kortewege-de Vries (CmKdV) equation. The numerical scheme is fast and accurate. There is no linearization of the nonlinear terms. The scheme is tested for single solitary wave, two and three solitary waves interaction. The results of the numerical scheme are compared with other meshless method of lines and the earlier work.