By using the Schoenberg points as quasi-interpolatory points, we achieve both generality and economy in contrast to previous sets, which achieve either generality or economy, but not both. The price we pay is a more complicated theory and weaker error bounds, although the order of convergence is unchanged. Applications to numerical integration are given and numerical examples show that the accu...

Abstract. Good lattice quadrature rules are known to have O(N) convergence for periodic integrands with sufficient smoothness. Here it is shown that applying the baker’s transformation to lattice rules gives O(N) convergence for nonperiodic integrands with sufficient smoothness. This approach is philosophically and practically different than making a periodizing transformation of the integrand,...

The subject of this paper tackles macroeconomic integration of the South-East Asian countries South Korea, Singapore and Taiwan. Economically, the analysis is based on notions of stochastic long-run convergence and business cycle synchrony in the GDPs. According tests for cointegration and common serial correlation features reveal a high degree of coherence in long-run growth and medium-run flu...

This paper describes the process of encounter between the field of knowledge management for development (KM4D) and transdisciplinary research which have led to the convergence between the two fields in terms of a focus on real world problems in a complex world; multiple actors; processes and methodologies; and knowledge integration and co-creation. The development of both fields is traced chron...

We propose long-time convergent numerical integration processes for delay differential equations. We first construct an integration process based on modified Laguerre functions. Then we establish its global convergence in certain weighted Sobolev space. The proposed numerical integration processes can also be used for systems of delay differential equations. We also developed a technique for re...

Converging evidence indicates that prior knowledge plays an important role in multisensory integration. However, the neural mechanisms underlying the processes with which prior knowledge is integrated with current sensory information remains unknown. In this study, we measured event-related potentials (ERPs) while manipulating prior knowledge using a novel visual letter recognition task in whic...

Abstract. Over the last few years there has been a growing and renovated interest in the numerical study of Random Differential Equations (RDEs). On one hand it is motivated by the fact that RDEs have played an important role in the modeling of physical, biological, neurological and engineering phenomena, and on the other hand motivated by the usefulness of RDEs for the numerical analysis of It...

Introduction Convergence refers to the creation of new technologies (or industries, markets) through the combination of two or more technologies (or industries, markets), which is promoted by technical changes, innovations, and technology diffusion, and plays a key role in changing gradual innovations to destructive innovations. Furthermore, convergence is a key factor in accelerating changes i...

A new frequency-domain electromagnetic algorithm is developed for simulating curved interfaces between anisotropic dielectrics embedded in a Yee mesh with second-order error in resonant frequencies. The algorithm is systematically derived using the finite integration formulation of Maxwell’s equations on the Yee mesh. Second-order convergence of the error in resonant frequencies is achieved by ...