## A strengthening of the editorial board

Published in Japan Journal of Industrial and Applied Mathematics

Published in Japan Journal of Industrial and Applied Mathematics

Published in Japan Journal of Industrial and Applied Mathematics

The Proudman–Johnson equation is considered as a representative of the two-dimensional fluid flow. Its steady-states are computed and their existence and unimodality are proved rigorously via the interval analysis and the interval Newton method. By using both the multiple shooting method and multiple-precision arithmetic our verification succeeds u...

Published in Japan Journal of Industrial and Applied Mathematics

We consider a gradient flow of the total variation in a negative Sobolev space H-s(0≤s≤1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H^{-s}\,(0\le s \le 1)$$\end{do...

Published in Japan Journal of Industrial and Applied Mathematics

In this paper we are focused on solving monotone and Lipschitz continuous variational inequalities in real Hilbert spaces. Motivated by several recent results related to the subgradient extragradient method (SEM), we propose two SEM extensions which do not require the knowledge of the Lipschitz constant associated with the variational inequality op...

Published in Japan Journal of Industrial and Applied Mathematics

The Nitsche method is a method of “weak imposition” of the inhomogeneous Dirichlet boundary conditions for partial differential equations. This paper explains stability and convergence study of the Nitsche method applied to evolutionary diffusion–advection-reaction equations. We mainly discuss a general space semidiscrete scheme including not only ...

Published in Japan Journal of Industrial and Applied Mathematics

We aim to identify the geometry (i.e., the shape and location) of a cavity inside an object through the concept of thermal imaging. More precisely, we present an identification procedure to determine the geometric shape of a cavity with convective boundary condition in a heat-conducting medium using the measured temperature on a part of the surface...

Published in Japan Journal of Industrial and Applied Mathematics

For analysis of electromagnetic fields, differential forms are useful mathematical tools. Discrete exterior calculus (DEC) is a finite-difference-type framework of discretization of the discrete differential forms. Although several numerical estimations of errors of DEC have been reported, a tangible theoretical error bound is not established. One ...

Published in Japan Journal of Industrial and Applied Mathematics

A group-theoretic approach is presented for investigation of large-deformation property of bar-hinge mechanisms with dihedral symmetry in three-dimensional space. The number of the compatibility conditions at bar-ends is reduced by formulating them with respect to the null space of the linear compatibility matrix. It is shown that the system of red...

Published in Japan Journal of Industrial and Applied Mathematics

The class of log-aesthetic curves includes the logarithmic spiral, clothoid, and involute of a circle. Although most of these curves are expressed only by an integral form of the tangent vector, it is possible to interactively generate and deform them, thereby presenting many applications in industrial and graphic design. The use of the log-aesthet...

Published in Japan Journal of Industrial and Applied Mathematics

The Gompertz curve and logistic curve models are often used to forecast upper limits (saturation points). To accurately estimate an upper limit, an appropriate model selection as well as accurate parameter estimation is required. We mathematically analyze how an upper limit estimated with an inappropriate model changes as the data size increases, i...