For the autonomous parking problem of tractor-semitrailer vehicle, a piecewise Gauss pseudospectral method is proposed as trajectory planning scheme in this paper. Firstly, transformed into an optimal control by establishing vehicle kinematics model for low-velocity scene, dynamic constraints including physical constraints, collision avoidance and endpoint constraints. The are discretized nonli...

Based on the Legendre pseudospectral method, we propose a numerical treatment for pricing perpetual American put option with stochastic volatility. In this simple approach, a nonlinear algebraic equation system is first derived, and then solved by the Gauss-Newton algorithm. The convergence of the current scheme is ensured by constructing a test example similar to the original problem, and comp...

A Fourier-matching pseudospectral modal method [PSMM(f)] is developed for analyzing lamellar diffraction gratings or grating stacks. A Chebyshev pseudospectral method is first used to accurately calculate the eigenmodes of the grating layers, and then the Fourier coefficients are matched at the interfaces between the layers. Compared with an existing pseudospectral modal method based on point m...

A Fourier pseudospectral time-domain method is applied to wave propagation problems pertinent to computational aeroacoustics. The original algorithm of the Fourier pseudospectral timedomain method works for periodical problems without the interaction with physical boundaries. In this paper we develop a slip wall boundary condition, combined with buffer zone technique to solve some non-periodica...

<abstract><p>We present a novel direct integral pseudospectral (PS) method (a IPS method) for solving class of continuous-time infinite-horizon optimal control problems (IHOCs). The transforms the IHOCs into finite-horizon in their forms by means certain parametric mappings, which are then approximated finite-dimensional nonlinear programming (NLPs) through rational collocations bas...

In the paper, we derive a multi-symplectic Fourier pseudospectral method for Zhiber-Shabat equation. The Zhiber-Shabat equation, which describes many important physical phenomena, has been investigated widely in last several decades. The multi-symplectic geometry and multi-symplectic Fourier pseudospectral method for the Zhiber-Shabat equation is presented. The numerical experiments are given, ...

Article history: Received 10 December 2012 Received in revised form 26 July 2013 Accepted 30 July 2013 Available online 17 August 2013