A 3-tier dynamic adaptive educational environment.
A case study of quantization of curves surfaces: The Myllar balloon
A categorical generalization of completely Hausdorff spaces
A class of connected spaces with many ramifications
A class and compacta which are quasi-homeomorphic with surfaces
A collection of references on hysteresis
A compactness criterion for Hausdorff admissible (jointly continuous) convergence structures in function spaces
A compactness criterion for the space of almost periodic functions
A complex from linear elasticity
Introduction: This article will present just one example of a general construction known as the Bernstein-Gelfand-Gelfand (BGG) resolution. It was the motivating example from two lectures on the BGG resolution given at the 19th Czech Winter School on Geometry and Physics held in Srní in January 1999. This article may be seen as a technical example to go with a more elementary introduction which will appear elsewhere [M. Eastwood, Notices Am. Math. Soc. 46, No. 11, 1368-1376 (1999)]. In fact, there...
A construction of finite-dimensional faithful representation of Lie algebra
Summary: The Ado theorem is a fundamental fact, which has a reputation of being a `strange theorem'. We give its natural proof.
A contribution to the descriptive theory of sets and spaces
A contribution to the theory of modular spaces
A curious property of oscillatory FEM solutions of one-dimensional convection-diffusion problems
Song, Yin and Zhang (Int. J. Numer. Anal. Model. 4: 127-140, 2007) discovered a remarkable property of oscillatory finite element solutions of one-dimensional convection-diffusion problems that leads to a novel numerical method for the solution of such problems. In the present paper this property is described using several figures, then a simple proof of the phenomenon is given which is much more intuitive than the technical analysis of Song et al.
A diffusion reaction system modelling spatial patterns
A direct solver for finite element matrices requiring memory places
We present a method that in certain sense stores the inverse of the stiffness matrix in memory places, where is the number of degrees of freedom and hence the matrix size. The setup of this storage format requires arithmetic operations. However, once the setup is done, the multiplication of the inverse matrix and a vector can be performed with operations. This approach applies to the first order finite element discretization of linear elliptic and parabolic problems in triangular domains,...
A duality principle for delay equations
A Family of Impossible Figures Studied by Knot Theory
A finite element method for a model of population dynamics with spatial diffusion
A finite element method for the computation of parametric minimal surfaces
A forced quasilinear wave equation with dissipation