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Solution to the heat equation using a finite difference scheme

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#numerical-methods #fourier-analysis #finite-differences #heat-equation
438
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Finite difference solution of steady-state diffusion equation with variable material properties

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#partial-differential-equations #numerical-methods #physics #finite-differences
243
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Infinite sum involving ascending powers

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#sequences-and-series #combinatorics #complex-analysis #modular-forms #finite-differences
118
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Closed form solution to $\frac{1}{a-1}= \log a$

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#ordinary-differential-equations #nonlinear-system #finite-differences
32
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Writing the implicit scheme using matrices

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#matrices #finite-differences
147
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Construct a symmetric Poisson matrix from $\nabla \cdot (\rho\nabla p)$

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#numerical-methods #finite-differences #poissons-equation
348
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Proof that strictly tri-diagonally dominant matrix has an inverse

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#matrices #numerical-methods #numerical-linear-algebra #finite-differences
184
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In the finite difference formulas, how can we pick h to give a certain tolerance?

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#inequality #derivatives #numerical-methods #finite-differences
1.5k
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Has anybody ever considered "full derivative"?

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#finite-differences #nonstandard-analysis #infinitesimals
129
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Given this operator what is inverse operator?

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#finite-differences #discrete-calculus
135
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Stability of a scheme for one way wave equation.

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#finite-differences
77
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Expressing a function's value using finite differences

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#sequences-and-series #numerical-methods #induction #recursion #finite-differences
2.3k
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How do I write the generic finite difference approx of f'(x) using Lagrange interpolating polynomial approximation?

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#calculus #numerical-methods #approximation #finite-differences #lagrange-interpolation
430
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Having trouble with discretization and boundry value problems

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#calculus #ordinary-differential-equations #numerical-methods #approximation #finite-differences
88
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What is this type of function called? How can I translate it to a different origin?

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#combinatorics #finite-differences

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