User:Mcclair/Books/Numerics

Numerics

 * Definitions
 * Smooth function
 * Differential operator
 * Operator
 * Derivative
 * Total derivative
 * Exact differential
 * Finite difference
 * Partial derivative
 * Directional derivative
 * Gradient
 * Curl (mathematics)
 * Laplace operator
 * Jacobian matrix and determinant


 * Differential Equations
 * Differential calculus
 * Differential equation
 * Recurrence relation
 * Integral equation
 * Constant of integration
 * Exact differential equation
 * Linear differential equation
 * Linear system
 * Nonlinear system
 * Partial differential equation
 * Elliptic operator
 * Laplace's equation
 * Potential theory
 * Harmonic function
 * Poisson's equation
 * Green's function
 * Hyperbolic partial differential equation
 * Parabolic partial differential equation
 * Separation of variables
 * Laplace transform
 * Fourier transform
 * Integral curve
 * Initial value problem
 * Boundary value problem
 * Dirichlet problem
 * Neumann boundary condition
 * Cauchy boundary condition
 * Robin boundary condition
 * Mixed boundary condition


 * Linear Algebra
 * Scalar (mathematics)
 * Vector space
 * Euclidean vector
 * Matrix (mathematics)
 * Truncation
 * Determinant
 * Invertible matrix
 * Gaussian elimination
 * Matrix decomposition
 * LU decomposition
 * Diagonalizable matrix
 * Linear map
 * Tensor
 * Einstein notation
 * Eigenvalue, eigenvector and eigenspace
 * Canonical form


 * Numerical Methods
 * Delaunay triangulation
 * Voronoi diagram
 * Numerical analysis
 * Numerical differentiation
 * Numerical ordinary differential equations
 * Explicit and implicit methods
 * Euler method
 * Semi-implicit Euler method
 * Runge–Kutta methods
 * Crank–Nicolson method
 * Courant–Friedrichs–Lewy condition
 * Newton's method
 * Numerical stability
 * Stiff equation
 * Arithmetic precision
 * Condition number
 * Rounding
 * Floating point
 * Round-off error


 * Fluid Mechanics
 * Navier–Stokes equations
 * Galilean invariance
 * Derivation of the Navier–Stokes equations
 * Navier–Stokes existence and smoothness
 * Direct numerical simulation
 * Reynolds-averaged Navier–Stokes equations