User:Eigen Axon/Books/Numerical Analysis
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Intro to Numerical Analysis
[edit]Emphasizing Evolutionary Algorithm
[edit]- 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