Additive manufacturing is a promising tool for tailored solutions in chemical engineering. This applies particular to the design of lab-scale packed bed columns. We present experimental results characterize 3D printed structured metal packing and compare it conventional counterpart. The indicate that necessary adjustments process material have an influence on important operating parameters, res...

holds, with E(f, x) explicitly given as an integral involving Df . Since, for his particular choice of L, the sum involves the derivatives of f at the points or nodes xi associated with L, Han thinks of this as a ‘multinode’ expansion for f . It is the purpose of this note to point out that this asymptotic error expansion, properly interpreted, holds for any bounded linear map L on C([a . . b])...

Abstmet. A method of surface definition and smoothing using a set of three-dimensional skeletal-lines is given. The skeletal-lines represent the essential features of a surface and can be individually smoothed using the first divided difference. The modified skeletal-lines are automatically generated by back substitution from the smoothed first divided difference lines. In this way a surface ca...

The notion of two dimensional divided difference was introduced by T. Popoviciu in 1934. Many properties of these differences were obtained by D. V. Ionescu. Other properties of the mentioned differences were obtained by the authors of the present paper. The focus of the present paper is to establish properties of two dimensional differences in the case of multiple knots. First, we establish so...

This paper is devoted to the semilocal convergence, using centered hypotheses, of a third order Newton-type method in a Banach space setting. The method is free of bilinear operators and then interesting for the solution of systems of equations. Without imposing any type of Fréchet differentiability on the operator, a variant using divided differences is also analyzed. A variant of the method u...

We show that every regular language, via some DFA which accepts it, gives rise to a homomorphism from the semiring of polynomial functors to the semiring of n×n matrices over polynomial functors. Given some polynomial functor and a regular language, this homomorphism can be used to automatically derive a functor whose values have the same shape as those of the original functor, but whose sequen...