Computational Methods in Physics (3rd Ed 2025, 2nd Ed 2018) //
previously Computational Methods for Physicists (Springer, 2012)

Contents

  1. Preface
  2. Basics of numerical analysis
  3. Solving non-linear equations
  4. Numerical integration and differentiation
  5. Matrix methods
  6. Transformations of functions and signals
  7. Statistical analysis and modeling of data
  8. Modeling and analysis of time series
  9. Initial-value problems for ODE
  10. Boundary-value problems for ODE
  11. Difference methods for one-dimensional PDE
  12. Difference methods for PDE in two or more dimensions
  13. Spectral methods for ODE and PDE
  14. Inverse and ill-posed problems
  15. Mathematical tools
  16. Standard numerical data types
  17. Generation of pseudorandom numbers
  18. Dual unscented Kalman filter
  19. Computation of Poincare maps
  20. Fixed points and stability
  21. Regularization in orbital mechanics
  22. Construction of symplectic integrators
  23. Transforming PDE to systems of ODE: two warnings
  24. Numerical libraries, auxiliary tools, and languages
  25. Index

Errata

Data files, codes and writeups