Predictions from science and engineering models depend on several input parameters. Global sensitivity analysis quantifies the importance of each input parameter, which can lead to insight into the model and reduced computational cost; commonly used sensitivity metrics include Sobol’ total sensitivity indices and derivative-based global sensitivity measures. Active subspaces are an emerging set...

This paper describes the process of developing an approach to evaluating the cost-efficiency of Finnish electricity distribution companies for regulation purposes. The process consisted of three main stages 1) describing of the problem and exploring the key factors, 2) finding measurable quantities for the most essential factors, and 3) selecting the final model to be used in the regulation. Th...

In this paper we model the case of an international non-renewable resource monopolist as a dynamic game between a monopolist and  importing countries governments, and investigate whether a tariff on resource imports can be advantageous for consumers in importing countries. We analyze both the case of a price-setting monopolist and the case of a quantity-setting monopolist. We find that a tarif...

A characteristic of data envelopment analysis (DEA) is to allow individual decision making units (DMUs) to select the factor weights that are the most advantages for them in calculating their efficiency scores. This flexibility in selecting the weights, on the other hand, deters the comparison among DMUs on a common base. For dealing with this difficulty and assessing all the DMUs on the same s...

Data envelopment analysis (DEA) is used to estimate the overall efficiency and productivity growth of credit cooperatives in Japan during 1992–1996. Overall efficiency is decomposed into output technical efficiency and input allocative efficiency. Twenty percent of all credit cooperatives in Japan are foreign owned with more than 90% of those owned by Koreans. The history of institutional discr...

We propose an anisotropic refinement strategy which is specially designed for the efficient numerical resolution of internal and boundary layers. This strategy is based on the directed refinement of single triangles together with adaptive multilevel grid orientation. Compared to usual methods, the new anisotropic refinement ends up in more stable and more accurate solutions at much less computa...

Three-dimensional (3D) Poisson solver plays an important role in the study of space-charge effects on charged particle beam dynamics in particle accelerators. In this paper, we propose three new 3D Poisson solvers for a charged particle beam in an open rectangular conducting pipe. These three solvers include a spectral integrated Green function (IGF) solver, a 3D spectral solver, and a 3D integ...

In this paper, we present a new three-step derivative-free family based on Potra-Pták’s method for solving nonlinear equations numerically. In terms of computational cost, each member of the proposed family requires only four functional evaluations per full iteration to achieve optimal eighth-order convergence. Further, computational results demonstrate that the proposed methods are highly effi...

Anisotropic mesh adaptation is a key feature in many numerical simulations to capture the physical behavior of a complex phenomenon at a reasonable computational cost. It is a challenging problem, especially when dealing with time dependent and interface capturing or tracking problems. In this paper, we describe a local mesh adaptation method based on an extension of the Delaunay kernel for cre...