Advances in Numerical Analysis Emphasizing Interval Data

2 Error Analysis

DOI: 10.1201/9781003218173-2

2.1 Introduction

Based on the discussed numerical methods and considering other chapters of the book, we need to explain the error analysis first. In addition to exploring the numerical integration methods, the interpolation of integrand function is needed and this is one of the reasons to discuss about interpolation methods.

2.2 Error Analysis

In this chapter, we intend to investigate and analyze the important complicated problems and points that occur in numerical calculations or calculations based on the numerical algorithms. As we know, in the numerical analysis, most numerical methods are iterative. This means that their formulation is in the form of difference equations. Therefore, given ...