Recent results on the local and global properties of multisymplectic discretizations of Hamiltonian PDEs are discussed. We consider multisymplectic (MS) schemes based on Fourier spectral approximations and show that, in addition to a MS conservation law, conservation laws related to linear symmetries of the PDE are preserved exactly. We compare spectral integrators (MS vs. non-symplectic) for t...

We examine a new 2nd order integrator recently found by Omelyan et al. The integration error of the new integrator measured in the root mean square of the energy difference, 〈∆H2〉1/2, is about 10 times smaller than that of the standard 2nd order leapfrog (2LF) integrator. As a result, the step size of the new integrator can be made about three times larger. Taking into account a factor 2 increa...

This work proposes a suite of numerical techniques to facilitate the design structure-preserving integrators for nonlinear dynamics. The celebrated LaBudde-Greenspan integrator and various energy-momentum schemes adopt difference quotient formula in their algorithmic force definitions, which suffers from instability as denominator gets close zero. There is need develop without invoking formula....

The oculomotor system uses integrators to transform velocity signals to control eye position. We model such an integrator as a linear network with a marginal mode separated from stable modes by a large spectral gap. The model neurons carry a superposition of position and velocity signals, just as observed in single unit recordings from hindbrain oculomotor areas. The single unit properties of t...

UNLABELLED Two new tools on the UCSC Genome Browser web site provide improved ways of combining information from multiple datasets, optionally including the user's own custom track data and/or data from track hubs. The Data Integrator combines columns from multiple data tracks, showing all items from the first track along with overlapping items from the other tracks. The Variant Annotation Inte...

In this article, a new design method for an adaptive fast finite-time controller (FTC) is proposed the stability (FTS) issue of class high-order stochastic nonlinear systems (HOSNSs) with unknown parameters. Using power integrator technology and Lyapunov function approach, state feedback derived to ensure FTS HOSNSs. The developed FTC equipped less settling time obtain better steady-state accur...

Dynamic sliding mode control (DSMC) of nonlinear systems using neural networks is proposed. In DSMC the chattering is removed due to the integrator which is placed before the input control signal of the plant. However, in DSMC the augmented system is one dimension bigger than the actual system i.e. the states number of augmented system is more than the actual system and then to control of such ...

A low power switched-capacitor (SC) integrator based on a capacitive charge-pump (CP) is proposed. The CP integrator circuit consumes approximately a quarter of the power of a conventional SC integrator while maintaining the same thermal noise performance. Power consumption of the CP integrator is analysed and compared with a conventional parasitic-insensitive integrator. Simulation results ver...

We examine a new second-order integrator recently found by Omelyan et al. The integration error of the new integrator measured in the root mean square of the energy difference, 1/2, is about 10 times smaller than that of the standard second-order leapfrog (2LF) integrator. As a result, the step size of the new integrator can be made about three times larger. Taking into account a facto...

Abstract This article proposes modifications of the Parareal algorithm for its application to higher index differential algebraic equations (DAEs). It is based on idea applying only components equation and computation corresponding consistent initial conditions later on. For with a special structure as, e.g. given in flux-charge modified nodal analysis, it shown that usage implicit Euler method...