Professor Hiroyasu Uemura’s new book revisits the intellectual heritages of Eiichi Sugimoto, Shigeto Tsuru, Shigenobu Kishimoto, Yoshihiro Takasuka, Mitsuharu Itoh, Yoshikazu Miyazaki, Hirofumi Uzawa, Tsuneo Ishikawa, under name Japanese Institutional Post-Keynesians (JIPKs). They were commonly inspired by K. Marx and J. M. Keynes had an institutional economic way thinking. The characterises th...

This paper examines the existence and nature of equilibria and balanced growth paths in the Uzawa-Lucas two-sector endogenous growth model with elastic labor supply. We demonstrate that it is not possible to merely insert a labor-leisure choice into the model, as has occasionally been done in in the past— the resulting …rst order conditions for the representative agent violate the Pontyagrin ma...

The discretization of incompressible Navier-Stokes equation leads to a large linear system with a nonsymmetric and indefinite coefficient matrix. Many methods are known to overcome these difficulties: Uzawa method, SIMPLE-type methods, penalty method, pressure correction method, etc. In this paper, Krylov accelerated versions of the SIMPLE(R) methods: GCR-SIMPLE(R) are investigated, where SIMPL...

The main goal of this article is to review various results and methods concerning the numerical simulation of Bingham visco-plastic flow; these results have been obtained from the early 1970s to now. We consider first the case of flow in cylindrical pipes and then flow in multi-dimensional cavities. The methods to be discussed include classical ones relying on regularization, (kind of) Lagrange...

The multigrid solution of coupled porous media and Stokes flow problems is considered. The Darcy equation as the saturated porous medium model is coupled to the Stokes equations by means of appropriate interface conditions. We focus on an efficient multigrid solution technique for the coupled problem, which is discretized by finite volumes on staggered grids, giving rise to a saddle point linea...

We introduce and study an adaptive finite element method (FEM) for the Stokes system based on an Uzawa outer iteration to update the pressure and an elliptic adaptive inner iteration for velocity. We show linear convergence in terms of the outer iteration counter for the pairs of spaces consisting of continuous finite elements of degree k for velocity, whereas for pressure the elements can be e...

The famous Mincer equation regressing log earnings on years of schooling is derived from a linear human capital accumulation equation at the individual level. Even if the cross-sectional Mincer equation holds at the level of individuals, it does not hold at the macro level of countries because aggregation of human capital has to take into account its vintage structure: human capital is embodied...

This paper considers dynamic laws that seek a saddle point of a function of two vector variables, by moving each in the direction of the corresponding partial gradient. This method has old roots in the classical work of Arrow, Hurwicz and Uzawa on convex optimization, and has seen renewed interest with its recent application to resource allocation in communication networks. This paper brings ot...