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15
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Differential equation $au''(x)+b\frac{u(x)}{x}+Eu=0$

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#ordinary-differential-equations #numerical-methods #quantum-mechanics
925
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Leapfrog Integration with velocity-dependent force

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#integration #ordinary-differential-equations #numerical-methods
579
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Understanding the incomplete Cholesky decomposition process.

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#linear-algebra #numerical-methods #algorithms #problem-solving
483
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Alternative to finite differences for numerical computation of the Hessian of noisy function

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#numerical-methods #least-squares #hessian-matrix
24
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Relative Propagation Error

Published on
#numerical-methods
74
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Showing that one limit converges faster to $f'(x)$ than another

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#calculus #limits #convergence-divergence #numerical-methods #taylor-expansion
2.9k
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Power method convergence proof

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#linear-algebra #numerical-methods #eigenvalues-eigenvectors
500
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Prove that $Q^{T}TQ$ is symmetric and tridiagonal, where $Q,R$ is $QR$ decomposition of symmetric tridiagonal matrix $T$

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#matrices #numerical-methods #symmetric-matrices #tridiagonal-matrices
147
Views

Find $y'(0.1)$ from the values $y(x)$ at $x=0.1$, $0.2$, $0.3$ and $0.4$, using numerical methods

Published on
#numerical-methods
112
Views

Defining an iterative method.

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#linear-algebra #numerical-methods #algorithms
703
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Convergence of fixed-point in a gauss-seidel style

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#numerical-methods #nonlinear-system #fixed-point-theorems
1.3k
Views

Understanding high and low frequency eigenmodes.

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#ordinary-differential-equations #partial-differential-equations #numerical-methods #eigenvalues-eigenvectors #algorithms
79
Views

The error when we rounding down and sum in $\sum_i \lfloor n/i \rfloor$ vs. $\sum_i n/i$.

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#number-theory #analysis #discrete-mathematics #numerical-methods #rounding-error
31
Views

Summing Number With 6 Significant Digits

Published on
#numerical-methods
92
Views

What is the value of the sum $\sum_{n=3}^N(\mu(n))^22^{\nu(n)}=\sum_{p=3}^N2+\sum_{pq=15}^N4+\sum_{pqr=105}^N8+\dots$

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#summation #numerical-methods #prime-numbers

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