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How to implement Finite Difference Method ODE Boundary Value Problem in Python?

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#ordinary-differential-equations #numerical-methods #numerical-optimization #finite-differences #finite-difference-methods
108
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fixpoint iteration to solve $y'(t)=y(t), y(0)=1$

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#ordinary-differential-equations #numerical-methods #fixed-point-theorems
357
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How to use Finite Difference Method solving ODE with Boundary Value Problems?

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#numerical-methods #numerical-optimization #finite-differences
54
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Finding the real roots of a univariate polynomial on the interval [0,1]

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#polynomials #numerical-methods #roots #newton-raphson #machine-precision
52
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How to solve a matrix dominated by zeros?

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#matrices #numerical-methods #matrix-equations #numerical-linear-algebra #matrix-decomposition
1.1k
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How to solve a non linear ODE with Newton's method?

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#ordinary-differential-equations #numerical-methods #python
78
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Test if a function is continuous or has at least one discontinuous vertical asymptote between an interval

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#real-analysis #functions #derivatives #numerical-methods #algorithms
327
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Is it a valid claim that ODEs are easier to solve numerically than PDEs?

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#partial-differential-equations #numerical-methods
157
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Euler's method to solve a differential equation

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#ordinary-differential-equations #numerical-methods #eulers-method
41
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prove $ ||u||_{L_2(\Gamma)} \leq (2||v||^2_{L_2(\Omega)} + 2||v||_{L_2(\Omega)} ||\nabla v||_{L^2(\Omega)})^{\frac{1}{2}}$

Published on
#real-analysis #inequality #numerical-methods #normed-spaces
232
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I really don't understand "The Shooting Method"

Published on
#numerical-methods
1.1k
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Standard Runge-Kutta method, consistency order

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#numerical-methods #runge-kutta-methods
245
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number of zeroes of arbitrary function

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#real-analysis #numerical-methods #real-numbers #programming
355
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Floating-point rounding error in numerical differentiation formula

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#numerical-methods #floating-point #numerical-calculus #machine-precision
1.5k
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Truncation error with growing step size

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#numerical-methods #taylor-expansion #approximation-theory #finite-differences

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