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Proof by using Taylor's Remainder Term: Truncation Error $=\frac{(b-a)h^2}{12} \max{|f''(z)|}$ for Trapezoidal rule of integration

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#numerical-methods #taylor-expansion #truncation-error
185
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Improved sieve for primes and prime twins?

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#number-theory #prime-numbers #twin-primes #sieve-theory #truncation-error
1.6k
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Show that Local Truncation Error is not $O(h^3)$ for any choice of constants

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#numerical-methods #taylor-expansion #partial-derivative #finite-differences #truncation-error
204
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Local error per unit step

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#ordinary-differential-equations #truncation-error
408
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Finding error in a an approximation

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#numerical-methods #rounding-error #truncation-error
1.4k
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Deriving the central Euler method and intuition

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#ordinary-differential-equations #numerical-methods #truncation-error
700
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How can I be sure that a partial sum is accurate to some number of decimal places?

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#sequences-and-series #truncation-error
154
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Questions about 0.999... equals 1

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#rational-numbers #decimal-expansion #truncation-error
2.9k
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What is the formula for the local truncation error in RK4?

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#numerical-methods #runge-kutta-methods #truncation-error
54
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Bounding the error in a solution, to an IVP, produced by RK4.

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#numerical-methods #runge-kutta-methods #truncation-error
114
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Truncation error when applying a finite difference scheme to solve $u_t +Au_x = 0$

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#finite-differences #finite-difference-methods #truncation-error
196
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Truncation error and non self-starting Heun

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#ordinary-differential-equations #truncation-error
828
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maximum error when rounding off multiple times

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#floating-point #truncation-error
409
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How to prove finite difference approximation has error of order $\mathcal{O}(\Delta x^2)$

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#numerical-methods #taylor-expansion #finite-differences #truncation-error
6.1k
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Interpolation and Taylor's Theorem

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#calculus #numerical-methods #power-series #interpolation #truncation-error

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