A worked example on scientific computing with Python

Contents:

• A worked example on scientific computing with Python
  • Optimal background for reading this note
• A scientific application
  • Physical problem and mathematical model
  • Numerical model
  • Simple implementation
  • Dissection of the code
  • More advanced implementation
  • Dissection of the code
  • The excitation force
  • A high-level solve function
  • Storing Python objects in files
  • Computing the root mean square value
• User input
  • Positional command-line arguments
  • Option-value pairs on the command line
• Visual exploration
  • Test case
  • Importing array and plot functionality
  • Reading results from file
  • Plotting \(u\)
  • Computing and plotting \(u'\)
  • Vectorized computation of \(u'\)
    • Computing the spectrum of signals
    • Multiple plots in the same figure
• Advanced topics
  • Symbolic computing via SymPy
  • Testing
    • Example on a test function
    • Test function for the numerical solver
    • Using a test framework
  • Modules
• Appendix: Quick motivation for programming with Python
• Appendix: Scientific Python resources
  • Full tutorials on scientific programming with Python
  • NumPy resources
  • Useful resources
  • Some relevant Python books
  • Course material on Python programming in general

Index

• Index