User:Eslgastal/Books/Computational Science
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Computational Science: Very Important[edit]
- 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[edit]
- 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[edit]
- 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