Resumen— Algunos sistemas de telecomunicaciones no pueden tolerar el coste de la repetición de un mensaje cuando se corrompe por el camino. En su lugar, el mensaje debe ser “corregido” de alguna forma en el destino. En estos casos es adecuado el uso de un código corrector de errores. El problema de encontrar un código corrector de errores de n bits y M palabras que corrija un máximo número de e...

When the development of correctors started in the 1970s, chromatic correction was already the main goal. The first corrector that could improve the resolution of an electron microscope was a chromatic corrector for a scanning electron microscope. Within the last three decades, the development of transmission electron microscopes (TEMs) was to a large extent driven by the attempt to improve the ...

We present a new three-dimensional numerical model for the simulation of breaking waves. In proposed model, integral contravariant form Navier-Stokes equations is expressed in curvilinear moving coordinate system and are integrated by predictor-corrector method. predictor step method, motion discretized shock-capturing scheme that based on an original highorder reconstruction point values conse...

We develop certified tracking procedures for Newton homotopies, which are homotopies for which only the constant terms are changed. For these homotopies, our certified procedures include using a constant predictor with Newton corrections, an Euler predictor with no corrections, and an Euler predictor with Newton corrections. In each case, the predictor is guaranteed to produce a point in the qu...

We present the application of a numerical method to correct electron moments calculated on-board spacecraft from the effects of potential broadening and energy range truncation. Assuming a shape for the natural distribution of the ambient plasma and employing the scalar approximation, the on-board moments can be represented as non-linear integral functions of the underlying distribution. We hav...

How far the stability domain of a numerical method for approximating solutions to differential equations extends along the imaginary axis indicates how useful the method is for approximating solutions to wave equations; this maximum extent is termed the stability ordinate, also known as the imaginary stability boundary. It has previously been shown that exactly half of Adams-Bashforth, Adams-Mo...

MOTIVATION Illumina Sequencing data can provide high coverage of a genome by relatively short (most often 100 bp to 150 bp) reads at a low cost. Even with low (advertised 1%) error rate, 100 × coverage Illumina data on average has an error in some read at every base in the genome. These errors make handling the data more complicated because they result in a large number of low-count erroneous k...