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Boundary integral method to solve Poisson equation

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#numerical-methods #laplace-transform #finite-differences #boundary-value-problem #poisson-geometry
229
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Why more smooth the function the more precise finite difference method?

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#calculus #taylor-expansion #finite-differences
95
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Stability conditions

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#ordinary-differential-equations #partial-differential-equations #numerical-methods #finite-differences
198
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heat equation with Interface Crank Nicolson

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#partial-differential-equations #numerical-methods #finite-differences #heat-equation
641
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Avoiding subtraction for finite difference with log and exp

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#derivatives #numerical-methods #logarithms #finite-differences
173
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Finite differences to ODE in polar coordinates

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#ordinary-differential-equations #limits #polar-coordinates #finite-differences
268
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Finite Difference Spacing of Points for PDE's for Convergence of Explicit Forward-Stepping Scheme

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#partial-differential-equations #convergence-divergence #numerical-methods #nonlinear-system #finite-differences
3.7k
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Second derivative of discrete function

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#sequences-and-series #finite-differences
189
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Space-dependent diffusivity and finite-differences

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#ordinary-differential-equations #partial-differential-equations #computer-science #finite-differences
588
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Finite Difference Method Stability with diffusion equation

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#partial-differential-equations #numerical-methods #finite-differences
117
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Solving ODE with matrices

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#calculus #ordinary-differential-equations #discrete-mathematics #derivatives #finite-differences
469
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Checking if the Hessian is the derivative of the gradient

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#analysis #multivariable-calculus #numerical-methods #finite-differences #floating-point
137
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Elementary Proof of sum of alternating factorials

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#sequences-and-series #induction #recurrence-relations #gamma-function #finite-differences
119
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$\Delta^kn^\alpha$ converges monotonically to zero when $\alpha<k$

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#sequences-and-series #convergence-divergence #recurrence-relations #finite-differences
940
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How to discretize mixed partial derivatives?

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#numerical-methods #computational-mathematics #finite-differences

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