A Concise Introduction to Geometric Numerical Integration 

by Sergio Blanes & Fernando Casas


CRC Press (2016)
ISBN: 978-1-4822-6342-8

    Chapters
Chapter 1 What is Geometric Numerical Integration?
Chapter 2 Classical integrators and preservation of properties
Chapter 3 Splitting and composition methods
Chapter 4 Other types of geometric numerical integrators
Chapter 5 Long-time behavior of geometric integrators
Chapter 6 Time-splitting methods for PDEs of evolution

  Authors' web page: Sergio Blanes, Fernando Casas

  Preface
 
  Table of Contents 

Cover


Page Last Updated: 2 August, 2016


MATLAB codes for generating the figures of the text. Each link below corresponds to a zip file containing all the files required to generate the respective figure. The driver file always starts as Figurex_x

Chapter 1: What is Geometric Numerical Integration 

Figures and MATLAB Files 

Figure 1.1 
Figure 1.2
Figure 1.3

Figure 1.4
Figure 1.5
Figure 1.6
Figure 1.7
Figure 1.8



Chapter 2: Classical integrators and preservation of properties 

Figures and MATLAB Files 

Figure 2.1
Figure 2.2
Figure 2.3


Chapter 3: Splitting and composition methods 

Figures and MATLAB Files                      


Figure 3.1


Figure 3.2


Figure 3.3


Figure 3.4
       



Chapter 4: Other types of geometric numerical integrators 

Figures and MATLAB Files                      


Figure 4.1
 

Figure 4.2
     



Chapter 5: Long-time behavior of geometric integrators

Figures and MATLAB Files                      


Figure 5.1

     



Chapter 6: Time-splitting methods for PDEs of evolution

Figures and MATLAB Files                      


Figure 6.1


Figure 6.2


Figure 6.3


Figure 6.4


Figure 6.5
         



Appendix: Some additional mathematical results