Finite Difference Computing with Exponential Decay Models

by Hans Petter Langtangen

DescriptionDetailsHashtagsReport an issue

Book Description

This text provides a very simple, initial introduction to the complete scientific computing pipeline: models, discretization, algorithms, programming, verification, and visualization. The pedagogical strategy is to use one case study – an ordinary differential equation describing exponential decay processes – to illustrate fundamental concepts in mathematics and computer science. The book is easy to read and only requires a command of one-variable calculus and some very basic knowledge about computer programming. Contrary to similar texts on numerical methods and programming, this text has a much stronger focus on implementation and teaches testing and software engineering in particular.

This open book is licensed under a Creative Commons License (CC BY-NC). You can download Finite Difference Computing with Exponential Decay Models ebook for free in PDF format (3.0 MB).

Book Details

Publisher
Springer
Published
2016
Pages
210
Edition
1
Language
English
ISBN13
9783319294384
ISBN10
3319294385
ISBN13 Digital
9783319294391
ISBN10 Digital
3319294393
PDF Size
3.0 MB
License
CC BY-NC

Related Books

Finite Difference Computing with PDEs
This easy-to-read book introduces the basics of solving partial differential equations by means of finite difference methods. Unlike many of the traditional academic works on the topic, this book was written for practitioners. Accordingly, it especially addresses: the construction of finite difference schemes, formulation and implementation of algo...
Programming for Computations - Python
This book presents computer programming as a key method for solving mathematical problems. This second edition of the well-received book has been extensively revised: All code is now written in Python version 3.6 (no longer version 2.7). In addition, the two first chapters of the previous edition have been extended and split up into five new chapte...
Platform Embedded Security Technology Revealed
Platform Embedded Security Technology Revealed is an in-depth introduction to Intel's platform embedded solution: the security and management engine. The engine is shipped inside most Intel platforms for servers, personal computers, tablets, and smartphones. The engine realizes advanced security and management functionalities and protects applicati...
Forecasting and Assessing Risk of Individual Electricity Peaks
The overarching aim of this book is to present self-contained theory and algorithms for investigation and prediction of electric demand peaks. A cross-section of popular demand forecasting algorithms from statistics, machine learning and mathematics is presented, followed by extreme value theory techniques with examples.In order to achieve carbon t...
Modeling and Simulation in Python
Modeling and Simulation in Python is an introduction to physical modeling using a computational approach. It is organized in three parts: - The first part presents discrete models, including a bikeshare system and world population growth. - The second part introduces first-order systems, including models of infectious disease, thermal systems, an...
Scaling of Differential Equations
The book serves both as a reference for various scaled models with corresponding dimensionless numbers, and as a resource for learning the art of scaling. A special feature of the book is the emphasis on how to create software for scaled models, based on existing software for unscaled models. Scaling (or non-dimensionalization) is a mathematical...