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Programming for Computations - MATLAB/Octave : A Gentle Introduction to Numerical Simulations with MATLAB/Octave.

Bibliographic Details
Main Author: Linge, Svein.
Other Authors: Langtangen, Hans Petter.
Format: eBook
Language:English
Published: Cham : Springer International Publishing AG, 2016.
Edition:1st ed.
Series:Texts in Computational Science and Engineering Series
Subjects:
Electronic books.
Online Access:Click to View
Table of Contents:
  • Intro
  • Preface
  • Contents
  • List of Exercises
  • 1 The First Few Steps
  • 1.1 What Is a Program? And What Is Programming?
  • 1.2 A Matlab Program with Variables
  • 1.3 A Matlab Program with a Library Function
  • 1.4 A Matlab Program with Vectorization and Plotting
  • 1.5 More Basic Concepts
  • 1.6 Exercises
  • 2 Basic Constructions
  • 2.1 If Tests
  • 2.2 Functions
  • 2.3 For Loops
  • 2.4 While Loops
  • 2.5 Reading from and Writing to Files
  • 2.6 Exercises
  • 3 Computing Integrals
  • 3.1 Basic Ideas of Numerical Integration
  • 3.2 The Composite Trapezoidal Rule
  • 3.3 The Composite Midpoint Method
  • 3.4 Testing
  • 3.5 Vectorization
  • 3.6 Measuring Computational Speed
  • 3.7 Double and Triple Integrals
  • 3.8 Exercises
  • 4 Solving Ordinary Differential Equations
  • 4.1 Population Growth
  • 4.2 Spreading of Diseases
  • 4.3 Oscillating One-Dimensional Systems
  • 4.4 Exercises
  • 5 Solving Partial Differential Equations
  • 5.1 Finite Difference Methods
  • 5.2 Exercises
  • 6 Solving Nonlinear Algebraic Equations
  • 6.1 Brute Force Methods
  • 6.2 Newton's Method
  • 6.3 The Secant Method
  • 6.4 The Bisection Method
  • 6.5 Rate of Convergence
  • 6.6 Solving Multiple Nonlinear Algebraic Equations
  • 6.7 Exercises
  • References
  • Index.

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