this research focuses on proposing an optimal trajectory planning and control method of two link rigid-flexible manipulators (tlrfm) for dynamic object manipulation (dom) missions. for the first time, achievement of dom task using a rotating one flexible link robot was taken into account in [20]. the authors do not aim to contribute on either trajectory tracking or vibration control of the end-...

In this paper, an optimal trajectory guidance law is developed for a free-floating space manipulator through a combination of a Gaussian pseudospectral collocation scheme with a Non-Linear Problem solver. Specifically, the resulting nonlinear optimal guidance problem with path constraints is defined with the general pseudospectral optimal software and numerically solved by the sparse nonlinear ...

We solve the time-dependent Schrödinger equation for molecular dynamics using a pseudospectral method with global, exponentially decaying, Hagedorn basis functions. The approximation properties of the Hagedorn basis depend strongly on the scaling of the spatial coordinates. Using results from control theory we develop a time-dependent scaling which adaptively matches the basis to the wave packe...

Seismic modeling is a foundation of geophysical date processing. A multisymplectic pseudospectral method for seismic modeling is presented in this paper. This method takes the multisymplectic structure of the scalar wave equation into account and possesses discrete multisymplectic conservation laws. Numerical experiments demonstrate the remarkable capability of this new method for long-time sim...

An efficient and accurate exponential wave integrator Fourier pseudospectral (EWI-FP) method is proposed and analyzed for solving the symmetric regularized-long-wave (SRLW) equation, which is used for modeling the weakly nonlinear ion acoustic and space-charge waves. The numerical method here is based on a Gautschi-type exponential wave integrator for temporal approximation and the Fourier pseu...

Epilepsy is a neurological disorder in which patients have recurrent seizures. Seizures occur in conjunction with abnormal electrical brain activity which can be recorded by the electroencephalogram (EEG). Often, this abnormal brain activity consists of high amplitude regular spike-wave oscillations as opposed to low amplitude irregular oscillations in the non-seizure state. Active brain stimul...

In this paper, we propose a composite Laguerre-Legendre pseudospectral method for exterior problems with a square obstacle. Some results on the composite Laguerre-Legendre interpolation, which is a set of piecewise mixed interpolations coupled with domain decomposition, are established. As examples of applications, the composite pseudospectral schemes are provided for two model problems. The co...

Numerical solutions are presented for steady two-dimensional motion within a circular cylinder generated by uid injecting radially over one small arc and ejecting radially over another arc. These solutions are based on a mixed nite-diierence pseudospectral method. Previous calculations were able to obtain convergent results only for a range of Reynolds numbers from R = 0 to R = 20. The main obj...