Introduction to Numerical Analysis E-Book

Simone Malacrida

• Herausgeber: Simone Malacrida
• Kategorie: Wissenschaft und neue Technologien
• Sprache: Englisch

Veröffentlichungsjahr: 2022

Beschreibung

The theory of numerical analysis is set forth in this book:
elementary numerical calculus
interpolation of functions
finite difference method
finite element method

Leseprobe

Table of Contents

“Introduction to Numerical Analysis”

INTRODUCTION

ELEMENTARY NUMERICAL CALCULATION

NUMERICAL ANALYSIS

“Introduction to Numerical Analysis”

SIMONE MALACRIDA

The theory of numerical analysis is set forth in this book:

elementary numerical calculus

interpolation of functions

finite difference method

finite element method

Simone Malacrida (1977)

Engineer and writer, has worked on research, finance, energy policy and industrial plants.

ANALYTICAL INDEX

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INTRODUCTION

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I – ELEMENTARY NUMERICAL CALCULATION

IntroducCtion

Calculation of the roots of a polynomial

Solutions of matrix systems

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II – NUMERICAL ANALYSIS

Introduction

Function interpolation

Definitions

Discretization of the integral

Finite difference method

Finite element method

INTRODUCTION

Numerical computation and numerical analysis represent one of the most advanced fields with the highest innovative propensity in the landscape of all mathematics.

The advent of electronic calculators has given an enormous impetus to numerical methods for modeling mathematical problems, if for no other reason than to take advantage of the tremendous computing power available to science and technology.

All mathematics, in every aspect whether geometric, functional, analytical or statistical, to be carried on electronic machines must be discretized.

At this juncture, methods of numerical computation and numerical analysis enter prominently, going to alter the goodness of the solution that the computer returns.

Alongside classical numerical analysis problems, such as those related to solving polynomials or linear systems, there is an entire science that studies how to carry differential equations that describe different physical behaviors.

While basic numerical calculus does not require advanced mathematical knowledge, numerical analysis has mathematical analysis as a prerequisite and, therefore, for an understanding of it it is necessary to have first understood all aspects of analysis that only a high-level university preparation can guarantee.

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