Computational Methods in Physicis (Springer, 2018) //
previously Computational Methods for Physicists (Springer, 2012)
Contents
- Preface
- Basics of numerical analysis
- Solving non-linear equations
- 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 several dimensions
- Spectral methods for PDE
- Inverse and ill-posed problems
- Mathematical tools
- Standard numerical data types
- Generation of pseudorandom numbers
- Convergence theorems for iterative methods
- Numerical integration
- Stable numerical differentiation
- Fixed points and stability
- Construction of symplectic integrators
- Transforming PDE to systems of ODE: two warnings
- Numerical libraries, auxiliary tools, and languages
- Measuring program execution times on linux systems
- Index
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Errata
Data files and writeups
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