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Laplacian in space with non uniform step

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#numerical-methods #laplacian #finite-differences
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Why bounded solution and convergence imply a stability for nonlinear finite difference scheme

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#numerical-methods #finite-differences
388
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Implicit 2D finite difference linear system

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#linear-algebra #numerical-methods #numerical-linear-algebra #finite-differences
93
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Stability analysid with pde, analogous fourrier number

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#partial-differential-equations #partial-derivative #finite-differences #stability-theory
45
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Why does GMRES converge much slower for large Dirichlet boundary conditions?

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#partial-differential-equations #finite-differences
78
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Time and space discretization of one dimensional advection equation

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#numerical-methods #taylor-expansion #finite-differences
2.2k
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What is the formulae for higher-order finite differences in several variables?

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#partial-differential-equations #finite-differences
555
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Amplification factor of Crank Nicolson scheme in cylindrical coordinates

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#partial-differential-equations #numerical-methods #finite-differences #parabolic-pde #finite-difference-methods
104
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First order taylor expansion formal proof

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#asymptotics #finite-differences #pattern-recognition
31
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Choose the best discretization for Finite Differences

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#finite-differences
1.6k
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Error in Crank-Nicolson scheme for diffusion equation

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#partial-differential-equations #numerical-methods #finite-differences #parabolic-pde #finite-difference-methods
2.1k
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Periodic boundary conditions and finite differences implementation

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#partial-differential-equations #numerical-methods #finite-differences #hyperbolic-equations
228
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How to compute the following Crank-Nicolson type scheme?

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#partial-differential-equations #numerical-methods #finite-differences
106
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Finite difference approximations of derivatives of polynomials of BV functions

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#functional-analysis #measure-theory #lebesgue-integral #bounded-variation #finite-differences
410
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How to prove finite difference approximation has error of order $\mathcal{O}(\Delta x^2)$

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#numerical-methods #taylor-expansion #finite-differences #truncation-error

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