User:Eigen Axon/Books/Numerical Analysis

Emphasizing Evolutionary Algorithm

 * Introduction
 * Numerical analysis
 * Mathematical analysis
 * Algorithm


 * Techniques
 * LU decomposition
 * QR decomposition
 * Singular value decomposition
 * Eigenvalues and eigenvectors
 * Stochastic differential equation
 * Markov chain
 * Examples of Markov chains
 * Stochastic matrix
 * Hidden Markov model
 * Leslie matrix
 * Lagrange polynomial
 * Gaussian elimination
 * System of linear equations
 * Discretization
 * Methods of computing square roots
 * Interpolation
 * Extrapolation
 * Regression analysis
 * Least squares
 * Analysis of algorithms


 * Computation
 * Computational science
 * Floating point
 * Round-off error
 * Truncation
 * Truncation error (numerical integration)
 * Discretization error
 * Numerical stability


 * Numerical Integration
 * Numerical integration
 * Quadrature (mathematics)
 * Gaussian integral
 * Gaussian quadrature
 * Gauss–Kronrod quadrature formula
 * Gauss–Hermite quadrature
 * Gauss–Laguerre quadrature
 * Clenshaw–Curtis quadrature
 * Adaptive quadrature
 * Series acceleration
 * Richardson extrapolation
 * Fubini's theorem
 * Monte Carlo integration
 * Curse of dimensionality


 * Numerical ODEs
 * Numerical differentiation
 * Numerical methods for ordinary differential equations
 * Stiff equation
 * Euler method
 * Backward Euler method
 * Linear multistep method
 * Runge–Kutta methods
 * Backward differentiation formula
 * Galerkin method
 * Collocation method
 * Exponential integrator
 * Finite difference
 * Shooting method


 * Numerical PDEs
 * Partial differential equation
 * Numerical partial differential equations
 * Finite difference method
 * Finite difference coefficient
 * Method of lines
 * Boundary element method
 * Lagrange multiplier
 * Finite element method
 * Applied element method
 * Mixed finite element method
 * Hp-FEM
 * Extended finite element method
 * Smoothed finite element method
 * Fiber beam element
 * Discontinuous Galerkin method
 * Finite element limit analysis
 * Stretched grid method
 * Finite volume method
 * Spectral method
 * Meshfree methods
 * Ellipsoid method
 * Multigrid method


 * Topics
 * List of numerical analysis topics