Computational Methods in Physics (3rd Ed 2025, 2nd Ed 2018) //
previously Computational Methods for Physicists (Springer, 2012)
Contents
- Preface
- Basics of numerical analysis
- Solving non-linear equations
- Numerical integration and differentiation
- Matrix methods
- Transformations of functions and signals
- Statistical analysis and modeling of data
- Modeling and analysis of time series
- Initial-value problems for ODE
- Boundary-value problems for ODE
- Difference methods for one-dimensional PDE
- Difference methods for PDE in two or more dimensions
- Spectral methods for ODE and PDE
- Inverse and ill-posed problems
- Mathematical tools
- Standard numerical data types
- Generation of pseudorandom numbers
- Dual unscented Kalman filter
- Computation of Poincare maps
- Fixed points and stability
- Regularization in orbital mechanics
- Construction of symplectic integrators
- Transforming PDE to systems of ODE: two warnings
- Numerical libraries, auxiliary tools, and languages
- Index
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Errata
Data files, codes and writeups
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