Computational Physics Simulation of Classical and Quantum Systems /
This textbook presents basic numerical methods and applies them to a large variety of physical models in multiple computer experiments. Classical algorithms and more recent methods are explained. Partial differential equations are treated generally comparing important methods, and equations of motio...
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| Language: | English |
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Cham :
Springer International Publishing : Imprint: Springer,
2017.
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| Edition: | 3rd ed. 2017. |
| Series: | Graduate Texts in Physics,
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| Online Access: | https://doi.org/10.1007/978-3-319-61088-7 |
Table of Contents:
- I. Numerical Methods
- Error Analysis
- Interpolation
- Numerical Differentiation
- Numerical Integration
- Systems of Inhomogeneous Linear Equations
- Roots and Extremal Points
- Fourier Transformation
- Wavelets
- Random Numbers and Monte Carlo Methods
- Eigenvalue Problems
- Data Fitting
- Discretization of Differential Equations
- Equations of Motion
- II. Simulation of Classical and Quantum Systems
- Rotational Motion
- Molecular Mechanics
- Continuum Mechanics
- Thermodynamic Systems
- Random Walk and Brownian Motion
- Electrostatics
- Waves
- Diffusion
- Convection
- Nonlinear Systems
- Simple Quantum Systems
- Quantum Many -Body Systems.