Algebraic methods in the theory of global properties of the oscillatory equations
Algebraic properties of function spaces
Algebraic properties of the 3-state vector Potts model
Algebras of continuous functions in universal algebra
Algebras of germs of Fourier transforms
Algorithm for construction of explicit -order Runge-Kutta formulas for the systems of differential equations of the 1st order
Algorithmic computations of Lie algebras cohomologies
From the text: The aim of this work is to advertise an algorithmic treatment of the computation of the cohomologies of semisimple Lie algebras. The base is Kostant’s result which describes the representation of the proper reductive subalgebra on the cohomologies space. We show how to (algorithmically) compute the highest weights of irreducible components of this representation using the Dynkin diagrams. The software package offers the data structures and corresponding procedures for computing...
ALIO/EURO V conference on combinatorial optimization
ALIO/EURO V Conference on Combinatorial Optimization (ENST, Paris, 26–28 October 2005)
All natural concomitants of vector valued differential forms
Almost continuous functions with closed graphs
An adaptive -discontinuous Galerkin approach for nonlinear convection-diffusion problems
We deal with a numerical solution of nonlinear convection-diffusion equations with the aid of the discontinuous Galerkin method (DGM). We propose a new -adaptation technique, which is based on a combination of a residuum estimator and a regularity indicator. The residuum estimator as well as the regularity indicator are easily evaluated quantities without the necessity to solve any local problem and/or any reconstruction of the approximate solution. The performance of the proposed -DGM is demonstrated....
An application of modular spaces to integral equations
An application of principal bundles to coloring of graphs and hypergraphs
An interesting connection between the chromatic number of a graph and the connectivity of an associated simplicial complex , its “neighborhood complex”, was found by Lovász in 1978 (cf. L. Lovász [J. Comb. Theory, Ser. A 25, 319-324 (1978; Zbl 0418.05028)]). In 1986 a generalization to the chromatic number of a -uniform hypergraph , for an odd prime, using an associated simplicial complex , was found ([N. Alon, P. Frankl and L. Lovász, Trans. Am. Math. Soc. 298, 359-370 (1986; Zbl 0605.05033)],...
An application of quaternionic analysis to the solution of time-independent Maxwell equations and of Stokes’ equation
An application of the averaged gradient technique
An Approach to Similarity Search for Mathematical Expressions using MathML
The recent global computerization and digitization trend has helped to increase the numbers of documents with mathematical expressions on the Web. These mathematical expressions have their own unique structures, and therefore, it is not an easy task for traditional search systems targeting natural languages to deal with them. We propose a similarity search method for mathematical equations that is particularly adapted to the tree structures expressed by MathML based on this background. The similarity...
An electromagnetic free-boundary problem
An infinite dimensional version of the third Lie theorem
The concept of evolution operator is used to introduce a weak Lie subgroup of a regular Lie group, and to give a new version of the third Lie theorem. This enables the author to formulate and to study the problem of integrability of infinite-dimensional Lie algebras. Several interesting examples are presented.
An international symposium honouring professor Karel Rektorys' eightieth. Foreword