Computational Methods in Physicis (Springer, 2018) //
previously Computational Methods for Physicists (Springer, 2012)

Contents

  1. Preface
  2. Basics of numerical analysis
  3. Solving non-linear equations
  4. Matrix methods
  5. Transformations of functions and signals
  6. Statistical analysis and modeling of data
  7. Modeling and analysis of time series
  8. Initial-value problems for ODE
  9. Boundary-value problems for ODE
  10. Difference methods for one-dimensional PDE
  11. Difference methods for PDE in several dimensions
  12. Spectral methods for PDE
  13. Inverse and ill-posed problems
  14. Mathematical tools
  15. Standard numerical data types
  16. Generation of pseudorandom numbers
  17. Convergence theorems for iterative methods
  18. Numerical integration
  19. Stable numerical differentiation
  20. Fixed points and stability
  21. Construction of symplectic integrators
  22. Transforming PDE to systems of ODE: two warnings
  23. Numerical libraries, auxiliary tools, and languages
  24. Measuring program execution times on linux systems
  25. Index

Errata

Data files and writeups