Sign In Start Free Trial
Account

Add to playlist

Create a Playlist

Modal Close icon
You need to login to use this feature.
  • Book Overview & Buying GNU Octave Beginner's Guide
  • Table Of Contents Toc
  • Feedback & Rating feedback
GNU Octave Beginner's Guide

GNU Octave Beginner's Guide

By : Jesper Schmidt Hansen
4.2 (19)
close
close
GNU Octave Beginner's Guide

GNU Octave Beginner's Guide

4.2 (19)
By: Jesper Schmidt Hansen

Overview of this book

Today, scientific computing and data analysis play an integral part in most scientific disciplines ranging from mathematics and biology to imaging processing and finance. With GNU Octave you have a highly flexible tool that can solve a vast number of such different problems as complex statistical analysis and dynamical system studies.The GNU Octave Beginner's Guide gives you an introduction that enables you to solve and analyze complicated numerical problems. The book is based on numerous concrete examples and at the end of each chapter you will find exercises to test your knowledge. It's easy to learn GNU Octave, with the GNU Octave Beginner's Guide to hand.Using real-world examples the GNU Octave Beginner's Guide will take you through the most important aspects of GNU Octave. This practical guide takes you from the basics where you are introduced to the interpreter to a more advanced level where you will learn how to build your own specialized and highly optimized GNU Octave toolbox package. The book starts by introducing you to work variables like vectors and matrices, demonstrating how to perform simple arithmetic operations on these objects before explaining how to use some of the simple functionality that comes with GNU Octave, including plotting. It then goes on to show you how to write new functionality into GNU Octave and how to make a toolbox package to solve your specific problem. Finally, it demonstrates how to optimize your code and link GNU Octave with C and C++ code enabling you to solve even the most computationally demanding tasks. After reading GNU Octave Beginner's Guide you will be able to use and tailor GNU Octave to solve most numerical problems and perform complicated data analysis with ease.
Table of Contents (15 chapters)
close
close
GNU Octave
Credits
About the Author
About the Reviewers
www.PacktPub.com
Preface

The Poisson equation two examples of heat conduction


We all have an intuitive idea about heat and temperature, so the easiest way to illustrate the Poisson equation is probably through the heat conduction equation.

One-dimensional heat conduction

Consider a gold rod of length L suspended between two wires both having some temperature T0 that we will specify later. The rod is covered by a heater that transfers heat into the rod at some rate Q given in units of Watts per volume (W m-3). See the figure below:

This means that we have heat flowing into the rod at every point along its axial direction, the x direction, and heat flowing out at the ends. One obvious question is: what is the temperature inside the gold rod? Before we answer this question, we must specify that we are only interested in the final temperature, not what happens when we switch the heater on and off. This is called the steady state temperature profile.

Note

The Poisson equation is used to describe steady state situations...

Unlock full access

Continue reading for free

A Packt free trial gives you instant online access to our library of over 7000 practical eBooks and videos, constantly updated with the latest in tech

Create a Note

Modal Close icon
You need to login to use this feature.
notes
bookmark search playlist font-size

Change the font size

margin-width

Change margin width

day-mode

Change background colour

Close icon Search
Country selected

Close icon Your notes and bookmarks

Delete Bookmark

Modal Close icon
Are you sure you want to delete it?
Cancel
Yes, Delete

Delete Note

Modal Close icon
Are you sure you want to delete it?
Cancel
Yes, Delete

Edit Note

Modal Close icon
Write a note (max 255 characters)
Cancel
Update Note

Confirmation

Modal Close icon
claim successful

Buy this book with your credits?

Modal Close icon
Are you sure you want to buy this book with one of your credits?
Close
YES, BUY