User:Eslgastal/Books/Computational Science

Computational Science: Very Important

 * Condition number
 * Conjugate gradient method
 * Curve fitting
 * Differential equation
 * Differential operator
 * Diffusion equation
 * Eigendecomposition of a matrix
 * Explicit and implicit methods
 * Finite difference method
 * Finite element method
 * Floating point
 * Fundamental solution
 * Gaussian elimination
 * Gaussian quadrature
 * Gram–Schmidt process
 * Heat equation
 * Green's function
 * Hermitian matrix
 * Integral
 * Interpolation
 * LU decomposition
 * Lagrange multiplier
 * Laplace operator
 * Least squares
 * Linear programming
 * Mathematical optimization
 * Matrix decomposition
 * Monte Carlo integration
 * Monte Carlo method
 * Multigrid method
 * Newton's method
 * Numerical analysis
 * Numerical integration
 * Numerical methods for ordinary differential equations
 * Numerical partial differential equations
 * Numerical stability
 * Parabolic partial differential equation
 * Partial differential equation
 * Polynomial interpolation
 * Polynomial regression
 * Positive-definite matrix
 * Preconditioner
 * QR decomposition
 * Root-finding algorithm
 * Round-off error
 * Rounding
 * Runge–Kutta methods
 * Self-adjoint operator
 * Singular value decomposition
 * Spectral method
 * Spectral theorem
 * Stiff equation
 * Taylor series
 * Truncation
 * Truncation error
 * Truncation error (numerical integration)
 * Unitary transformation
 * Weak solution

Computational Science: Somewhat Important

 * Applied mathematics
 * Approximation theory
 * Arnoldi iteration
 * Backward Euler method
 * Backward differentiation formula
 * Bayes' rule
 * Biconjugate gradient method
 * Boundary value problem
 * Cauchy boundary condition
 * Chebyshev polynomials
 * Chebyshev–Gauss quadrature
 * Cholesky decomposition
 * Computational complexity theory
 * Computational geometry
 * Computational mathematics
 * Computational science
 * Computer simulation
 * Conceptual model
 * Curl (mathematics)
 * Cut (graph theory)
 * Dijkstra's algorithm
 * Dirichlet boundary condition
 * Discrete-time Fourier transform
 * Discrete Fourier transform
 * Discretization error
 * Distribution (mathematics)
 * Divergence
 * Domain decomposition methods
 * Eigenfunction
 * Eigenvalue algorithm
 * Elliptic partial differential equation
 * Euler method
 * Extrapolation
 * Finite difference
 * Finite volume method
 * First-order partial differential equation
 * Fixed-point iteration
 * Fixed point (mathematics)
 * Four color theorem
 * Fourier analysis
 * Fourier series
 * Fourier transform
 * Function space
 * Functional (mathematics)
 * Functional derivative
 * Galerkin method
 * Gauss–Hermite quadrature
 * Generalized minimal residual method
 * Gradient
 * Gradient descent
 * Graph coloring
 * Graph cuts in computer vision
 * Graph theory
 * Hermitian adjoint
 * Hidden Markov model
 * Hilbert space
 * Homogeneous differential equation
 * Hyperbolic partial differential equation
 * Inner product space
 * Integral curve
 * Iterated function
 * Iterative method
 * Kalman filter
 * Kernel (linear algebra)
 * Krylov subspace
 * Lagrange polynomial
 * Linear differential equation
 * Linear least squares (mathematics)
 * Linear multistep method
 * Linear regression
 * Loss of significance
 * Lp space
 * Machine epsilon
 * Max-flow min-cut theorem
 * Method of characteristics
 * Method of lines
 * Minimum spanning tree
 * Mixed boundary condition
 * Multiresolution analysis
 * Navier–Stokes equations
 * Navier–Stokes existence and smoothness
 * Neumann boundary condition
 * Numerical linear algebra
 * Nyquist–Shannon sampling theorem
 * Order of accuracy
 * Ordinary differential equation
 * Ordinary least squares
 * Orthogonal polynomials
 * Padé approximant
 * Power iteration
 * Pseudo-spectral method
 * Quadratic form
 * Quantization (signal processing)
 * Rank factorization
 * Recurrence relation
 * Regression analysis
 * Remez algorithm
 * Richardson extrapolation
 * Riesz representation theorem
 * Robin boundary condition
 * Romberg's method
 * Schauder basis
 * Schur decomposition
 * Seven Bridges of Königsberg
 * Shortest path problem
 * Significant figures
 * Simpson's rule
 * Simulated annealing
 * Stone–Weierstrass theorem
 * Sturm–Liouville theory
 * Theoretical computer science
 * Theory of computation
 * Trapezoidal rule
 * Travelling salesman problem
 * Vector field
 * Viterbi algorithm
 * Wave equation
 * Wavelet

Computational Science: Less Important

 * A* search algorithm
 * Automatic differentiation
 * Branch and bound
 * Branch and cut
 * Central limit theorem
 * Clenshaw–Curtis quadrature
 * Euler–Lagrange equation
 * Field (mathematics)
 * Floyd–Warshall algorithm
 * General linear model
 * Generalized Fourier series
 * Generalized function
 * Haar wavelet
 * Impulse response
 * Kolmogorov complexity
 * Lanczos algorithm
 * Lipschitz continuity
 * Logistic regression
 * Markov process
 * Symbolic computation