In ‎the current study, a‎ general formulation of the discrete Chebyshev polynomials is given. ‎The operational matrix fractional integration for these also derived. ‎Then,‎ a numerical scheme based on and their has been developed to solve variational problems‎. this method, need using Lagrange multiplier during solution procedure eliminated.‎ The performance proposed validated through some illu...

A novel implicit integration scheme for the Discrete Element Method (DEM) based on variational integrator approach is presented. The numerical solver provides a fully dynamical description that, notably, reduces to an energy minimisation in quasi-static limit. detailed derivation of method presented Hookean contact model and tested against established open source DEM package that uses velocity-...

Recent days have witnessed significant interests in applying quantum-enhanced techniques for solving a variety of machine learning tasks. Variational methods that use quantum resources imperfect devices with the help classical computing are popular supervised learning. classification (VQC) is one such possible advantage using features hard to compute by methods. Its performance depends on mappi...