Exercises of Numerical Analysis E-Book

Simone Malacrida

• Herausgeber: BookRix
• Kategorie: Wissenschaft und neue Technologien
• Sprache: Englisch
• Veröffentlichungsjahr: 2023

Beschreibung

In this book, exercises are carried out regarding the following mathematical topics: numerical calculation of the roots of a polynomial numerical solving of matrices, linear and nonlinear systems numerical computation of the integral and derivatives finite difference method and numerical solving of ordinary differential equations finite element method and weak formulation of partial differential equations Initial theoretical hints are also presented to make the conduct of the exercises understandable.

Leseprobe

Simone Malacrida

Exercises of Numerical Analysis

BookRix GmbH & Co. KG81371 Munich

Table of Contents

Table of Contents

“Exercises of Numerical Analysis”

INTRODUCTION

THEORETICAL OUTLINE

EXERCISES

“Exercises of Numerical Analysis”

“Exercises of Numerical Analysis”

SIMONE MALACRIDA

In this book, exercises are carried out regarding the following mathematical topics:

numerical calculation of the roots of a polynomial

numerical solving of matrices, linear and nonlinear systems

numerical computation of the integral and derivatives

finite difference method and numerical solving of ordinary differential equations

finite element method and weak formulation of partial differential equations

Initial theoretical hints are also presented to make the conduct of the exercises understandable.

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 – THEORETICAL OUTLINE

Calculation of the roots of a polynomial

Resolutions of matrix systems

Interpolation of functions

Definitions

Discretization of the integral

Finite difference method

Finite element method

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II – EXERCISES

Exercise1

Exercise 2

Exercise 3

Exercise 4

Exercise 5

Exercise 6

Exercise 7

Exercise 8

Exercise 9

Exercise 10

Exercise 11

Exercise 12

Exercise 13

Exercise 14

Exercise 15

Exercise 16

Exercise 17

Exercise 18

Exercise 19

INTRODUCTION

INTRODUCTION

In this workbook, some examples of calculations relating to numerical analysis are carried out.

Furthermore, the main theoretical results of this field of mathematics are presented.

Numerical analysis makes it possible to solve all the operations of mathematical analysis through the use of finite systems, ie electronic calculators.

Therefore, the adaptation of all analytic operations to numerical computation is necessary for an effective solution of mathematical problems.

In order to understand in more detail what is presented in the resolution of the exercises, the theoretical reference context is recalled in the first chapter.

What is presented in this exercise book is generally addressed in the courses of numerical calculus and numerical analysis offered at university level.

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