The Sinc quadrature and the Sinc indefinite integration are approximation formulas for definite integration and indefinite integration, respectively, which can be applied on any interval by using an appropriate variable transformation. Their convergence rates have been analyzed for typical cases including finite, semi-infinite, and infinite intervals. In addition, for verified automatic integra...

The solution of ordinary differential equations (ODEs) is intrinsically bound up with the solution of partial differential equations (PDEs). In this chapter the basic integration methods are introduced, covering: Euler, Runge-Kutta, variable step, extrapolation, BDFs, NDFs, and Adams. Various test examples for the different integration methods are provided along with annotated code. The Newton ...

This paper presents research evidence on multiple channel integration strategy and implementation as it emerges from two stakeholders in the process: firms planning and undertaking channel integration and technology partner firms enabling the implementation. Qualitative research conducted with a UK retail bank and technology partner firms provides evidence on convergence and divergence of views...

We would expect that the process of globalization between 1870 and 1914 and subsequent disintegration of the world economy during the interwar period would have led first to income convergence and then to income divergence between the participating countries. But in fact we find stronger evidence for income convergence during the interwar period than during the first globalization. Similarly, t...

Evidence of financial integration and convergence are considered of importance in assessing the outcome of EU deregulation policies aimed at improving the efficiency and performance of banking sectors. This paper evaluates the recent dynamics of bank cost efficiency by means of Data Envelopment Analysis (DEA). Borrowing from the growth literature, we apply dynamic panel data models (GMM) to the...

Efficiency of numerical methods is an important problem in dynamic nonlinear analyses. It is possible to use of numerical methods such as beta-Newmark in order to investigate the structural response behavior of the dynamic systems under random sea wave loads but because of necessity to analysis the offshore systems for extensive time to fatigue study it is important to use of simple stable meth...

In this paper we analyze a quasi-Monte Carlo method for solving systems of linear algebraic equations. It is well known that the convergence of Monte Carlo methods for numerical integration can often be improved by replacing pseudorandom numbers with more uniformly distributed numbers known as quasirandom numbers. Here the convergence of a Monte Carlo method for solving systems of linear algebr...

However it is possible to use of numerical methods such as beta-Newmark in order to investigate the structural response behavior of the dynamic systems under random sea wave loads but because of necessity to analysis the offshore systems for extensive time to fatigue study it is important to use of simple stable methods for numerical integration. The modified Euler method (MEM) is a simple nume...

Citation: Yamada K (2015) Editorial: Photonic integration and photonics–electronics convergence on silicon platform. Silicon-based photonics technology, which is based on the same paradigm of silicon (Si) electronics technology, promises to provide us with a compact photonic integration platform with high integration density, mass manufacturing, and excellent cost performance. This technology h...

Orienting movements of the eyes and head are made to both auditory and visual stimuli even though in the primary sensory pathways the locations of auditory and visual stimuli are encoded in different coordinates. This study was designed to differentiate between two possible mechanisms for sensory-to-motor transformation. Auditory and visual signals could be translated into common coordinates in...