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Numerical Solution to Advection Equation

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#numerical-methods #computational-mathematics #hyperbolic-equations
962
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'Numerical Differentiation' how to compute for the round off error for a 4 point formula

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#numerical-methods
141
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Does taking the square root of an inner product guard against numerical instability?

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#numerical-methods #numerical-linear-algebra #numerical-optimization
240
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Show that a non-linear equation has exactly two roots

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#proof-writing #numerical-methods #nonlinear-system #rolles-theorem
137
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Fast, vectorisable distance from points to ellipse

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#geometry #numerical-methods #matlab
80
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What is the rate of convergence of $f^N(x) = \sum_{n=-N}^N f_n e^{in x}$ to $f(x) = \sum_{n=-\infty}^\infty f_n e^{in x}$ in $L^2([0,2\pi])$?

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#convergence-divergence #numerical-methods #fourier-analysis #fourier-series #approximation
142
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Algebraic degree of accuracy of numerical integration operator

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#integration #numerical-methods
71
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Choose support for polynomial interpolation

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#numerical-methods #interpolation #lagrange-interpolation #interpolation-theory
80
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Start value for which an iterative function converges

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#numerical-methods #fixed-point-theorems
720
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Finding the least square method for an exponential function

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#statistics #numerical-methods #exponential-function #regression #least-squares
63
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Numerically solving the original 'function' given its second derivative

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#ordinary-differential-equations #numerical-methods
129
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Newton-Raphson Method- Same Equations, 2 correct roots, 1 incorrect root

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#numerical-methods #roots #matlab
157
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How can show the matrix is rank one?

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#linear-algebra #numerical-methods #nonlinear-optimization #matrix-rank #numerical-optimization
526
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LU/LUP decomposition: can some of U's diagonal elements be zero?

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#numerical-methods #algorithms #matlab #matrix-decomposition #lu-decomposition
571
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Convergence of Newton method and machine precision

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#numerical-methods #newton-raphson #machine-precision

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