Computer–added design of single-electron nanoelectronic circuits on quantum majority components has been implemented. Proposed methods building logic-arithmetic computing devices the combinational type, which implement an almost complete system logical functions in both and Boolean bases. Quantum cellular automata is a technology that emerged two decades ago, values states correspond to positio...

Residue Number System (RNS) is a non-weighted number system for integer number arithmetic, which is based on the residues of a number to a certain set of numbers called module set. The main characteristics and advantage of residue number system is reducing carry propagation in calculations. The elimination of carry propagation leads to the possibility of maximizing parallel processing and reduc...

We present a numerical algorithm for computing rigorous upper and lower estimates of the principal eigenvalue p-Laplacian. To control all possible errors including rounding computer arithmetic, we use interval arithmetic. implement our in Julia programming language using IntervalArithmetic.jl package [12]. See also https://ejde.math.txstate.edu/special/02/b3/abstr.html

In this paper we describe a C++ implementation of a hybrid system combining SLI (symmetric level-index) arithmetic and FLP (floating-point) arithmetic. The principal motivation for the work to be presented is to promote the use of SLI arithmetic as a practical framework for scientific computing. This hybrid arithmetic is essentially overflow and underflow free, and its implementation has shown ...

—Interval arithmetic has become a popular tool for general optimization problems such as robust root finding and global maximum/minimum finding. This has been effectively applied in many computer fields, such as computer graphics. However, interval arithmetic suffers from two significant weaknesses. First, its evaluations are often very conservative, making it useless in many practical situatio...

Numerical simulation is used more and more frequently in the analysis of physical phenomena. A simulation requires several phases. The first phase consists of constructing a physical model based on the results of experimenting with the phenomena. Next, the physical model is approximated by a mathematical model. Generally, the mathematical model contains algebraic expressions, ordinary or partia...