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  2. Riemann sum - Wikipedia

    en.wikipedia.org/wiki/Riemann_sum

    Left and right methods make the approximation using the right and left endpoints of each subinterval, respectively. Upper and lower methods make the approximation using the largest and smallest endpoint values of each subinterval, respectively. The values of the sums converge as the subintervals halve from top-left to bottom-right.

  3. Euler method - Wikipedia

    en.wikipedia.org/wiki/Euler_method

    Download as PDF; Printable version ... following formula until we reach the approximation of the solution to the ... integral by the left-hand rectangle method ...

  4. Five-point stencil - Wikipedia

    en.wikipedia.org/wiki/Five-point_stencil

    An illustration of the five-point stencil in one and two dimensions (top, and bottom, respectively). In numerical analysis, given a square grid in one or two dimensions, the five-point stencil of a point in the grid is a stencil made up of the point itself together with its four "neighbors".

  5. Rayleigh–Ritz method - Wikipedia

    en.wikipedia.org/wiki/Rayleigh–Ritz_method

    Having found one set (left of right) of approximate singular vectors and singular values by applying naively the Rayleigh–Ritz method to the Hermitian normal matrix or , whichever one is smaller size, one could determine the other set of left of right singular vectors simply by dividing by the singular values, i.e., = / and = /. However, the ...

  6. Finite element method - Wikipedia

    en.wikipedia.org/wiki/Finite_element_method

    The extended finite element method (XFEM) is a numerical technique based on the generalized finite element method (GFEM) and the partition of unity method (PUM). It extends the classical finite element method by enriching the solution space for solutions to differential equations with discontinuous functions.

  7. Method of matched asymptotic expansions - Wikipedia

    en.wikipedia.org/wiki/Method_of_matched...

    In mathematics, the method of matched asymptotic expansions [1] is a common approach to finding an accurate approximation to the solution to an equation, or system of equations. It is particularly used when solving singularly perturbed differential equations. It involves finding several different approximate solutions, each of which is valid (i ...

  8. Saddlepoint approximation method - Wikipedia

    en.wikipedia.org/wiki/Saddlepoint_approximation...

    The saddlepoint approximation method, initially proposed by Daniels (1954) [1] is a specific example of the mathematical saddlepoint technique applied to statistics, in particular to the distribution of the sum of independent random variables.

  9. FBI mnemonics - Wikipedia

    en.wikipedia.org/wiki/FBI_mnemonics

    The various FBI mnemonics (for electric motors) show the direction of the force on a conductor carrying a current in a magnetic field as predicted by Fleming's left hand rule for motors [1] and Faraday's law of induction. Other mnemonics exist that use a right hand rule for predicting resulting motion from a preexisting current and field.