A new metrization proof
A new view of center manifolds
A note on Fiedler-Moravek combinatorial problem
A note on n-ary Poisson brackets
An -ary Poisson bracket (or generalized Poisson bracket) on the manifold is a skew-symmetric -linear bracket of functions which is a derivation in each argument and satisfies the generalized Jacobi identity of order , i.e.,
A note on necessary and sufficient conditions for convergence of the finite element method
In this short note, we present several ideas and observations concerning finite element convergence and the role of the maximum angle condition. Based on previous work, we formulate a hypothesis concerning a necessary condition for convergence and show a simple relation to classical problems in measure theory and differential geometry which could lead to new insights in the area.
A note on Rudin's sxample of Dowker space
A note on symmetries of invariant sets with compact group actions
A note on tension spline
Spline theory is mainly grounded on two approaches: the algebraic one (where splines are understood as piecewise smooth functions) and the variational one (where splines are obtained via minimization of quadratic functionals with constraints). We show that the general variational approach called smooth interpolation introduced by Talmi and Gilat covers not only the cubic spline but also the well known tension spline (called also spline in tension or spline with tension). We present the results of...
A note on the dimension of products
A notion of uniformity for -spaces of Frechet
A parallel method for population balance equations based on the method of characteristics
In this paper, we present a parallel scheme to solve the population balance equations based on the method of characteristics and the finite element discretization. The application of the method of characteristics transform the higher dimensional population balance equation into a series of lower dimensional convection-diffusion-reaction equations which can be solved in a parallel way. Some numerical results are presented to show the accuracy and efficiency.
A partially ordered space connected with the de la Vallée Poussin problem
A priori bounds for a semilinear wave equation
A problem about Feynman integrals on Riemannian manifolds
A problem concerning locally- functions in a commutative Banach algebra
A proof of the Baues-Lemaire conjecture in rational homotopy theory
This paper contains an announcement of a result, which settles the connection between various algebraic models for rational homotopy theory: the models of Quillen, Sullivan and Adams-Hilton-Anick. It is shown how this result, combined with a recent result of Anick, implies a conjecture of H. J. Baues and J. M. Lemaire [Math. Ann. 225, 219-245 (1977; Zbl 0322.55019)].We describe in some detail the construction of these models (Section 1). We present a variant of the Adams-Hilton model, which is defined...
A quaternionic treatment of Navier-Stokes equations
A remark on natural quantum Lagrangians and natural generalized Schrödinger operators in Galilei quantum mechanics
A remark on the -splitting conjecture
A remark on the topology of higher order frames