VL Rvachev called R-functions 'logically charged functions' because they encode complete
logical information within the standard setting of real analysis. He invented them in the …

Finite volume methods apply directly to the conservation law form of a differential equation
system; and they commonly yield cell average approximations to the unknowns rather than …

This article demonstrates how numerical methods for atmospheric models can be validated
by showing that they give the theoretically predicted rate of convergence to relevant …

We are concerned here with processing discontinuous functions from their spectral
information. We focus on two main aspects of processing such piecewise smooth data …

Molecular dynamics is discussed from a mathematical perspective. The recent history of
method development is briefly surveyed with an emphasis on the use of geometric …

The long-standing goal of computer aided design (CAD)/computer aided engineering (CAE)
integration demands seamless interfaces between geometric design and engineering …

This paper presents a novel approach for analyzing the free vibration response of variable-
stiffness panels. A method is proposed herein, which relies upon a combination of the R …

The purpose of this article is to propose an efficient algorithm for determining the place of an
action of a heat source with a given motion law for a body of an arbitrary shape using …

This paper describes methods that are important for the numerical evaluation of certain
functions that frequently occur in applied mathematics, physics and mathematical statistics …

The mathematical and computer modeling of axisymmetric flows is considered. We
constructed a mathematical model of motion of a viscous incompressible axisymmetric flow …