Mathematics: Difference between revisions
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Carl McBride (talk | contribs) m (→General) |
Carl McBride (talk | contribs) m (→Polynomials: Added internal link to associated Legendre functions) |
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*[[Laguerre polynomials]] | *[[Laguerre polynomials]] | ||
*[[Legendre polynomials]] | *[[Legendre polynomials]] | ||
**[[Associated Legendre functions]] | |||
==Transforms== | ==Transforms== | ||
*[[Fast Fourier transform]] | *[[Fast Fourier transform]] | ||
Revision as of 13:30, 20 June 2008
Here are details of mathematical tools that have applications in classical thermodynamics, statistical mechanics and computer simulation techniques.
General
- Clebsch-Gordan coefficients
- Euler angles
- Green's theorem
- Laplace's equation
- Linear algebra
- Liouville's theorem
- Lyapunov exponents
- Padé approximants
- Perron-Frobenius theorem
- Poincaré theorem
- Power series
- Predictor-corrector methods
- Random numbers
- Root finding
- Runge-Kutta method
- Spherical harmonics
- Stirling's approximation
- Taylor expansion
- Wigner D-matrix
- Wigner rotation matrices
Functions and distributions
- Bessel functions
- Dirac delta distribution
- Gaussian distribution
- Heaviside step distribution
- Kronecker delta
- Poisson distribution
- Ramp function
Geometry
Integrals and quadrature
- Standard integrals
- Elliptic integrals
- Newton-Cotes formulas
- Gauss-Chebyshev quadrature
- Gauss-Legendre quadrature
Polynomials
Transforms
Computer assisted mathematics
- CGAL - Computational Geometry Algorithms Library
- LAPACK - Linear Algebra PACKage
- Maple
- Mathematica
- MATLAB
- NAG Numerical Algorithms Group
- Numerical Recipes
- Octave
- SAGE Open Source Mathematics Software
- ScaLAPACK