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

• Superior document: Texts in Computational Science and Engineering Series ; v.14
• Author: Linge, Svein.
• TeilnehmendeR: Langtangen, Hans Petter.
• Place / Publishing House: Cham : : Springer International Publishing AG,, 2016.; Ã2016.
• Year of Publication: 2016
• Edition: 1st ed.
• Language: English
• Series: Texts in Computational Science and Engineering Series
• Physical Description: 1 online resource (228 pages)

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.