We prove quasioptimal and optimal order estimates in various Sobolev norms for the approximation of linear strongly elliptic pseudodifferential equations in one independent variable by the method of nodal collocation by odd degree polynomial splines. The analysis pertains in particular to many of the boundary element methods used for numerical computation in engineering applications. Equations ...

A gramians based method for quantifying the nonlinearity of the control-affine spatio-temporal systems is proposed in this paper. The empirical gramians are computed from the data collected from a nonlinear model derived by collocation method for spatio-temporal systems. This method compares the empirical gramians of the nonlinear model with that of the linearized model at its steady state oper...

In this paper we tackle on mixed Volterra–Fredholm integral equations, as in linear as in non linear cases. To the aim to obtain numerical solutions of these models, the authors propose in the linear case the direct collocation method using a p-order quasi interpolating spline class and in the nonlinear case the fixed point method based on polynomial approximation built by Schauder tensor bases...

We present a web service-based environment for the use of linguistic resources and tools to address issues of terminology and language varieties. We discuss the architecture, corpus representation formats, components and a chainer supporting the combination of tools into task-specific services. Integrated into this environment, single web services also become part of complex scenarios for web s...

Trajectory optimization is an important means to improve performance in many industrial and scientiic processes such as robotics or aerospace applications. A combination of SQP methods with direct collocation or multiple shooting discretizations has proven very successful for such problems. In realistic applications, however, very large QP sub-problems with thousands of constraints may arise. T...

Park, Sohee. 2003. Lexical Collocation Use by Korean EFL College learners. SNU Working Papers in English Linguistics and Language 2, 19-40. This study investigated Korean EFL college students' lexical collocation use. The specific research questions were as follows: 1) Which factors affect the collocational competence?; 2) Which collocation types are the most problematic to Korean EFL college l...

Although traditionally seen as a languageindependent task, collocation extraction relies nowadays more and more on the linguistic preprocessing of texts (e.g., lemmatization, POS tagging, chunking or parsing) prior to the application of statistical measures. This paper provides a language-oriented review of the existing extraction work. It points out several language-specific issues related to ...

In this paper, we develop a robust numerical method in pricing options, when the underlying asset follows a jump diffusion model. We demonstrate that, with the quadratic spline collocation method, the integral approximation in the pricing PIDE is intuitively simple, and comes down to the evaluation of the probabilistic moments of the jump density. When combined with a Picard iteration scheme, t...

We developed an open source software for crustal strain analysis using the least-squares collocation method based on the spherical model of the earth. The software is able to simultaneously determine the signal and noise of the velocities at the observation points with the best possible removal of the observational errors, or at any other position with no velocity observation. Furthermore, the ...

The method of finite spheres using moving least squares interpolants and point collocation as the weighted residual scheme is applied to the development of a virtual reality based training system for laparoscopic surgical procedures. The localization of approximation and the lack of numerical integration results in very high computational speeds required for real time simulation with graphical ...