Force Budget: I. Theory and Numerical Methods

Numerical Methods and Stochastics Part I: Numerical Methods

Optical Wavefront Reconstruction: Theory and Numerical Methods

Optical wavefront reconstruction algorithms played a central role in the effort to identify gross manufacturing errors in NASA’s Hubble Space Telescope (HST). NASA’s success with reconstruction algorithms on the HST has lead to an effort to develop software that can aid and in some cases replace complicated, expensive and error-prone hardware. Among the many applications is HST’s replacement, t...

Periodic nonlinear Fourier transform for fiber-optic communications, Part I: theory and numerical methods.

In this work, we introduce the periodic nonlinear Fourier transform (PNFT) method as an alternative and efficacious tool for compensation of the nonlinear transmission effects in optical fiber links. In the Part I, we introduce the algorithmic platform of the technique, describing in details the direct and inverse PNFT operations, also known as the inverse scattering transform for periodic (in ...

Numerical Simulations in Cosmology I: Methods

We give a short description of different methods used in cosmology. The focus is on major features of N -body simulations: equations, main numerical techniques, effects of resolution, and methods of halo identification.

Numerical Methods for the Force Reflection of Contact

An important problem in the field of force-reflecting systems and telerobotics is poor rendering of contact, particularly of contact with stiff surfaces. There are numerous possible sources of poor performance, including poor contact models, sampling errors, and delays due to computation or data transmission. In this paper we examine effects due to sample-and-hold, which is a fundamental proper...