A fully variational, unstructured, electromagnetic particle-in-cell integrator is developed for integration of the Vlasov-Maxwell equations. Using the formalism of Discrete Exterior Calculus [1], the field solver, interpolation scheme and particle advance algorithm are derived through minimization of a single discrete field theory action. As a consequence of ensuring that the action is invarian...

This research paper examines the dynamical model of love as in the case of Romeo and Juliet. The model is in the form of Coupled Ordinary Differential Equation (ODE) describing the time-dependent variation of the love and hate displayed by individuals in a relationship. An additional work is done by applying a new numerical integrator developed by Odekunle and Sunday (2012) to a special case of...

A double integrator is controlled by discontinuous-impulsive feedback with adaptation. The gain of the impulsive control is adapted to minimize the time convergence to zero of the double integrator dynamics when the impulsive control is applied. The real case is studied to take into account the limitation of the input amplitude, the sampling of the controller and the effect of the disturbances....

A brief introduction to discrete variational mechanics, motivated by the goal of constructing symplectic onestep methods, will be presented. Followed by the presentation of a new type of variational integrator that utilizes Taylor’s method in it’s construction. Time permitting, we will make some remarks on the pros/cons and stability of constructing the variational integrator from the Lagrangia...

This research paper examines the derivation and implementation of a new 4-point block method for direct integration of first-order ordinary differential equations using interpolation and collocation techniques. The approximate solution is a combination of power series and exponential function. The paper further investigates the properties of the new integrator and found it to be zero-stable, co...

A sigma delta modulator incorporating a linear phase integrator instead of a conventional voltage-domain integrator is described. The architecture allows achieving a quasi-second order noise shaping by using a passive SC low-pass filter in the first stage. Simulation results demonstrate that the circuit can operate with sampling frequencies of hundred of MHz while obtaining a figure of merit (F...