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Numerically compute Laplacian of a scalar field in a non-orthogonal grid

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#derivatives #partial-differential-equations #numerical-methods #finite-differences
328
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How many positive and negative roots of the equation $e^x-5\sin x$ exist?

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#algebra-precalculus #numerical-methods
135
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How to numerically compute value of a function given as a infinite series

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#sequences-and-series #numerical-methods
54
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Given a function $f(x)$ under which condition $|f(x_k)|<\eta$ implies that $x_k$ is close to the function root?

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#derivatives #numerical-methods
70
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Calculate velocity for constant acceleration around a track.

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#matrices #numerical-methods #physics #problem-solving
110
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Easily parallelizable LU decomposition algorithm?

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#linear-algebra #numerical-methods #algorithms #determinant #numerical-linear-algebra
754
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Heat Equation in Cylindrical Coordinates: Sinularity at r = 0 & Neumann Boundary Conditions

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#partial-differential-equations #numerical-methods #boundary-value-problem #heat-equation
343
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Evaluating implicit functions numerically by transforming the problem into ODE

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#ordinary-differential-equations #numerical-methods #roots #implicit-function
16.7k
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approximating second derivative from Taylor's theorem

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#numerical-methods
1.2k
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Theta method Local Error/Global Error- Numerical methods

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#ordinary-differential-equations #partial-differential-equations #numerical-methods #dynamical-systems #localization
314
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solve $XA = B$ in MATLAB

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#linear-algebra #numerical-methods #numerical-linear-algebra #singularity #inverse-problems
419
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Why not simply use sine weights with Clenshaw-Curtis nodes?

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#integration #numerical-methods #quadrature
332
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Verify numerically that the iterative method is cubically or linear convergent

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#convergence-divergence #numerical-methods
108
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Distinguising two error terms in rounding error

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#numerical-methods #floating-point
7k
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Prove that Runge Kutta Method (RK4) is of Order 4

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#numerical-methods #runge-kutta-methods #truncation-error

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