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10

16

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4

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6k

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uniform vs. non-uniform grid

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8

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2

answers

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discrete $L^p$ norms for non-uniform grid

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analyze stability on a nonuniform grid

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1

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219

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How do I analyze the error for the Crank-Nicolson method on a parabolic PDE?

pde finite-difference

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6

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method of frozen coefficients and its relation to von Neumann stability analysis

pde finite-difference stability

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224

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interpolation combined with methods of characteristics can cause oscillations for the transport equation?

pde hyperbolic-pde stability interpolation

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how to test convergence of the solution vector

pde finite-difference

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pde finite-difference

Jul 6 '12 at 22:17 Wolfgang Bangerth 45.6k

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answers

582

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frozen coefficient vs. constant coefficient

pde

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The effect of the boundary condition on the convergence of the fdm scheme

pde parabolic-pde

Jan 25 '13 at 17:31 Stefano M 3,709

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954

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Is the heat equation with Neumann boundary conditions well-posed?

parabolic-pde well-posedness

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choice of the norm for Crank Nicolson stability estimate

stability parabolic-pde

Feb 4 '13 at 4:23 Wolfgang Bangerth 45.6k

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choice of the norm for the error of the numerical method

pde finite-difference

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regularity of a solution and its affect on the global error

pde finite-difference parabolic-pde

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amplification factor for the Crank Nicolson scheme for the advection equation

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intuition behind the different discrete norms for Crank Nicolson

pde stability parabolic-pde

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971

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generating a non-uniform grid with Chebyshev discretization

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Effect of boundary condition on the local error

pde finite-difference

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semiboundedness of the operator and it is affect on stability

pde parabolic-pde

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1k

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heat equation on bounded and unbounded domain

boundary-conditions parabolic-pde

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2

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1

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Pointwise convergence

pde

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2

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1

answer

401

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rate of convergence for the second order accurate method on two dimensional grid

pde finite-element finite-difference

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error of linear interpolation

interpolation

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504

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I don't understand how to correctly calculate truncation error

pde finite-difference

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discretization error for the explicit scheme for heat equation

parabolic-pde

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1

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152

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Stability condition for explicit/implicit via non negative coefficients

pde finite-difference stability

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explicit scheme stability restriction

parabolic-pde

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1

answer

307

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energy norm for transport equation

pde stability hyperbolic-pde

Jun 1 '16 at 21:34 Geoff Oxberry 29.1k

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41 Questions

uniform vs. non-uniform grid

discrete $L^p$ norms for non-uniform grid

analyze stability on a nonuniform grid

How do I analyze the error for the Crank-Nicolson method on a parabolic PDE?

method of frozen coefficients and its relation to von Neumann stability analysis

interpolation combined with methods of characteristics can cause oscillations for the transport equation?

how to test convergence of the solution vector

Piecewise polynomial interpolation: Hermite vs Lagrange

eigenvalue analysis vs fourier analysis for stability and their equivalence

Why is my second order accurate method only converging at first order when the coefficients are rough?

frozen coefficient vs. constant coefficient

The effect of the boundary condition on the convergence of the fdm scheme

Is the heat equation with Neumann boundary conditions well-posed?

choice of the norm for Crank Nicolson stability estimate

choice of the norm for the error of the numerical method

regularity of a solution and its affect on the global error

amplification factor for the Crank Nicolson scheme for the advection equation

intuition behind the different discrete norms for Crank Nicolson

generating a non-uniform grid with Chebyshev discretization

Effect of boundary condition on the local error

semiboundedness of the operator and it is affect on stability

heat equation on bounded and unbounded domain

Pointwise convergence

rate of convergence for the second order accurate method on two dimensional grid

error of linear interpolation

I don't understand how to correctly calculate truncation error

discretization error for the explicit scheme for heat equation

Stability condition for explicit/implicit via non negative coefficients

explicit scheme stability restriction

energy norm for transport equation