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Why don't they use 4-point formula to approximate derivative of a function

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#numerical-methods
81
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Finite Difference scheme for triangle

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#real-analysis #partial-differential-equations #numerical-methods
10.4k
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Is the error function only = 1 at infinity?

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#real-analysis #numerical-methods #error-function
69
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Error estimate for a Finite Element Method

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#functional-analysis #numerical-methods #calculus-of-variations #boundary-value-problem #finite-element-method
522
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Solve a PDE determined by a divergence

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#partial-differential-equations #numerical-methods #linear-pde
182
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Convert Linear Multistep Method into one-step method

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#numerical-methods
167
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Composite Lagrangian Quadrature rule for sin(x)

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#numerical-methods #approximate-integration #quadrature
689
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Thomas algorithm and pivoting

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#numerical-methods
265
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Understanding the Runge pheonomena and Chebyshev nodes.

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#numerical-methods
35
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Does $\prod_{i=1}^N (1-f(x_i)\Delta x_i+o(\Delta x_i))\to e^{-\int_0^1f(x)dx}$ as $n\to\infty$?

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#real-analysis #integration #analysis #numerical-methods
600
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Existence of the maximum in the minimax principle of Courant-Fischer

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#linear-algebra #metric-spaces #numerical-methods #eigenvalues-eigenvectors #maxima-minima
104
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choosing error bounds for factors of a product so the product falls within a given error bound

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#numerical-methods #interval-arithmetic
844
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Please explain how Richardson Extrapolation is used in this example

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#numerical-methods #approximation #extrapolation
430
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Banach's fixed point theorem in $\mathbb{R}$. Number of iterations needed to satisfy an error

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#real-analysis #numerical-methods #real-numbers
1.6k
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Richardson extrapolation Simpson's rule

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#numerical-methods #simpsons-rule

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