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Details on the convergence of the bisection method

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#calculus #real-analysis #sequences-and-series #analysis #numerical-methods
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Nonlinear Sylvester-like equation

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#linear-algebra #numerical-methods #nonlinear-system #nonlinear-analysis #sylvester-equation
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#soft-question #numerical-methods #numerical-linear-algebra
55
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Estimating parameters of a differential equation

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#ordinary-differential-equations #numerical-methods #approximation #linear-regression
35
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#numerical-methods #approximation
100
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Let $c_n=\frac{1}{2}(a_n+b_n), r=\lim_{n\to \infty}c_n,$ and $e_n=r-c_n$. Here $[a_n,b_n]$, with $n\geq 0$, denotes the succesive intervals

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#calculus #real-analysis #sequences-and-series #analysis #numerical-methods
1.1k
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Showing that the Taylor expansion of $\ln(1-x)$ about $x=0$ converges over $(-1,1)$

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#limits #numerical-methods #taylor-expansion #approximation
7.7k
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What is the difference between ill-conditioned and ill-posed?

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#numerical-methods #terminology
475
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#calculus #discrete-mathematics #derivatives #numerical-methods
683
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Discretization of 4th order ODE

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#numerical-methods #finite-differences
49
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Importance of compact operators for numerical approximation of integral equations?

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#numerical-methods #operator-theory #compact-operators #integral-equations
68
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Neighbourhood of two distinct eigenvalues

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#linear-algebra #matrices #numerical-methods #eigenvalues-eigenvectors
50
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Equivalent term of integration

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#integration #functions #numerical-methods
59
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Numerical methods to determine the type of roots of an equation

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#calculus #numerical-methods
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#optimization #numerical-methods #linear-programming #integer-programming #operations-research

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