ABSTRACT: We propose a new section-averaged one-dimensional model for blood flows in deformable arteries. The model is derived from the three-dimensional Navier-Stokes equations, written in ...

Abstract: This article proposes a novel analytical steady-state thermal simulation framework considering anisotropic thermal conductivity for 3-D integrated circuits (3D-ICs) that combine an adaptive ...

Adequate mathematical modeling is the key to success for many real-world projects in engineering, medicine, and other applied areas. As soon as an appropriate mathematical model is developed, it can ...

Approximation theory investigates how complex functions or data can be represented by simpler mathematical entities—such as polynomials, splines, wavelets or ...

Approximation methods in function spaces characterise how well complex functions can be represented or recovered using limited information such as function values or ...

The area under a curve refers to the region enclosed between the curve and the horizontal axis of a graph. This area is found by integrating an equation across an interval. Understanding this concept ...

(The code of this last work can be found in this GitHub folder.) If you have used our code for research purposes, please cite the publication mentioned above. For the sake of simplicity, we provide ...

The method of nested multiplication is commonly used in function evaluation routines to evaluate approximation polynomials. New polynomial evaluation methods have been developed in recent years which ...

About 35 minutes into the London Marathon, I found myself in a good running groove. My legs felt strong, my stride relaxed, and my breathing easy. I can do this! I told myself. I was relieved to find ...

Algorithms of computational math: Legendre polynomial; Gauss method; Cholesky method; Method of Squares; Newton interpolation; Inverse Gauss method; Interpolation by cubic splines; Gauss Zeidel method ...