Keywords: Volterra integro-differential equations Multistep collocation Superconvergence Stability a b s t r a c t Multistep collocation methods for Volterra integro-differential equations are derived and analyzed. They increase the order of convergence of classical one-step collocation methods, at the same computational cost. The numerical stability analysis is carried out and classes of A 0-s...

In this paper, collocation methods are used for detecting blow-up solutions of nonlinear homogeneous Volterra-Hammerstein integral equations. To do this, we introduce the concept of “blow-up collocation solution” and analyze numerically some blow-up time estimates using collocation methods in particular examples where previous results about existence and uniqueness can be applied. Finally, we d...

Abstract. A local convergence rate is established for an orthogonal collocation method based on Radau quadrature applied to an unconstrained optimal control problem. If the continuous problem has a sufficiently smooth solution and the Hamiltonian satisfies a strong convexity condition, then the discrete problem possesses a local minimizer in a neighborhood of the continuous solution, and as the...

This thesis describes SwePron, an algorithm for automatic resolution of pronouns in Swedish, using Mitkov’s algorithm for pronoun resolution in English (MARS) as a starting point. There are several changes made to the algorithm in order to adapt it to the Swedish language. One key language difference is that Swedish has two “neutral” genders, whereas English only has one. A second important dif...

We analyze collocation methods for nonlinear homogeneous Volterra-Hammerstein integral equations with non-Lipschitz nonlinearity. We present different kinds of existence and uniqueness of nontrivial collocation solutions and we give conditions for such existence and uniqueness in some cases. Finally we illustrate these methods with an example of a collocation problem, and we give some examples ...

‎the main purpose of this paper is to study the numerical solution of nonlinear volterra integral equations with constant delays, based on the multistep collocation method. these methods for approximating the solution in each subinterval are obtained by fixed number of previous steps and fixed number of collocation points in current and next subintervals. also, we analyze the convergence of the...

Equivalence is one of the challenges that face translators in field translation. Since translating economic texts plays a significant role promoting communication and cooperation with other countries under umbrella globalization, translator key this context. This research attempts to investigate equivalence at above word level transferring from English into Arabic or vice versa. The study argue...

The purpose of this paper is to suggest a strategy enhance vocabulary learning through sensory-motor experience. A case study was conducted involving four college students who were all non-English majors and had intermediate TOEIC scores. emphasized the role brain. material used from season 1, episode 1 American television series <i>Community</i> (Russo & Russo, 2009). During st...

Computational Metalexicography in Practice { Corpus-based support for the revision of a commercial dictionary Abstract In a cooperation between dictionary publishers and computational linguists, raw material for the revision of the German part of a bilingual German ! English dictionary (Langenscheidts Handww orterbuch Englisch, Neubearbeitung 1991) was produced. In a case study, the entries for...