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10

16

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4

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6k

views

uniform vs. non-uniform grid

pde finite-difference

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4

8

votes

2

answers

5k

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

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3

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856

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analyze stability on a nonuniform grid

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1

7

votes

1

answer

227

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

pde finite-difference

Jul 9 '12 at 1:32 Geoff Oxberry 29.3k

1

6

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1k

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

pde finite-difference stability

Mar 6 '16 at 12:38 David Ketcheson 15.8k

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votes

1

answer

229

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

pde hyperbolic-pde stability interpolation

Dec 8 '12 at 2:11 David Ketcheson 15.8k

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4

answers

2k

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how to test convergence of the solution vector

pde finite-difference

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votes

2

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Piecewise polynomial interpolation: Hermite vs Lagrange

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561

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eigenvalue analysis vs fourier analysis for stability and their equivalence

pde finite-difference parabolic-pde

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3

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824

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

pde finite-difference

Jul 6 '12 at 22:17 Wolfgang Bangerth 47.2k

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0

answers

616

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frozen coefficient vs. constant coefficient

pde

Apr 17 '13 at 11:06 Community♦ 1

1

5

votes

1

answer

1k

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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 3,739

5

votes

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973

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

parabolic-pde well-posedness

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4

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2

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363

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choice of the norm for Crank Nicolson stability estimate

stability parabolic-pde

Feb 4 '13 at 4:23 Wolfgang Bangerth 47.2k

1

4

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2

answers

1k

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choice of the norm for the error of the numerical method

pde finite-difference

Jul 10 '12 at 12:44 shuhalo 3,370

4

votes

1

answer

68

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regularity of a solution and its affect on the global error

pde finite-difference parabolic-pde

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1

3

votes

1

answer

2k

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amplification factor for the Crank Nicolson scheme for the advection equation

hyperbolic-pde

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1

answer

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intuition behind the different discrete norms for Crank Nicolson

pde stability parabolic-pde

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answer

1k

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generating a non-uniform grid with Chebyshev discretization

pde

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votes

2

answers

144

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Effect of boundary condition on the local error

pde finite-difference

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3

votes

1

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semiboundedness of the operator and it is affect on stability

pde parabolic-pde

Sep 25 '12 at 0:44 Kamil 1,176

2

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1

answer

1k

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heat equation on bounded and unbounded domain

boundary-conditions parabolic-pde

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1

2

votes

1

answer

130

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Pointwise convergence

pde

Jan 22 '13 at 9:16 chris 1,045

2

votes

1

answer

418

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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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votes

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answers

859

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error of linear interpolation

interpolation

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1

2

votes

2

answers

554

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I don't understand how to correctly calculate truncation error

pde finite-difference

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4

answers

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discretization error for the explicit scheme for heat equation

parabolic-pde

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1

vote

1

answer

197

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Stability condition for explicit/implicit via non negative coefficients

pde finite-difference stability

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1

vote

0

answers

36

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explicit scheme stability restriction

parabolic-pde

Jul 1 '16 at 17:39 Kamil 1,176

1

vote

1

answer

329

views

energy norm for transport equation

pde stability hyperbolic-pde

Jun 1 '16 at 21:34 Geoff Oxberry 29.3k

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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