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    Exercises of Numerical Analysis
    Exercises of Numerical Analysis
    Exercises of Numerical Analysis
    Ebook67 pages15 minutes

    Exercises of Numerical Analysis

    By Simone Malacrida

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    About this ebook

    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.

    LanguageEnglish
    PublisherSimone Malacrida
    Release dateDec 21, 2022
    ISBN9798215328750
    Exercises of Numerical Analysis
    Author

    Simone Malacrida

    Simone Malacrida (1977) Ha lavorato nel settore della ricerca (ottica e nanotecnologie) e, in seguito, in quello industriale-impiantistico, in particolare nel Power, nell'Oil&Gas e nelle infrastrutture. E' interessato a problematiche finanziarie ed energetiche. Ha pubblicato un primo ciclo di 21 libri principali (10 divulgativi e didattici e 11 romanzi) + 91 manuali didattici derivati. Un secondo ciclo, sempre di 21 libri, è in corso di elaborazione e sviluppo.

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      Book preview

      Exercises of Numerical Analysis - Simone Malacrida

      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

      ––––––––

      INTRODUCTION

      ––––––––

      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

      ––––––––

      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

      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

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