User Kamil

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votes

1

answer

259

views

Cauchy problem with a change of variables

Nov 30 '18 at 8:01 Community♦ 1

1

vote

1

answer

164

views

Stability condition for explicit/implicit via non negative coefficients

pde finite-difference stability

Aug 5 '16 at 5:23 Brian Zatapatique 546

1

0

votes

1

answer

506

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spurious oscillations Crank-Nicolson

parabolic-pde

Jul 25 '16 at 18:26 ekkilop 221

1

vote

4

answers

314

views

discretization error for the explicit scheme for heat equation

parabolic-pde

Feb 3 '17 at 6:56 Community♦ 1

1

vote

0

answers

36

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explicit scheme stability restriction

parabolic-pde

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

2

votes

1

answer

1k

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heat equation on bounded and unbounded domain

boundary-conditions parabolic-pde

Dec 27 '16 at 0:01 Community♦ 1

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votes

1

answer

74

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hyperbolic equation and characteristics

hyperbolic-pde

Jun 26 '16 at 8:41 Vikram 489

5

votes

0

answers

600

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frozen coefficient vs. constant coefficient

pde

Apr 17 '13 at 11:06 Community♦ 1

1

6

votes

1

answer

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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vote

2

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655

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complexity of flux limiter techniques

hyperbolic-pde

Mar 20 '13 at 15:59 Anke 368

1

vote

3

answers

866

views

necessary and sufficient tests to show order of convergence for the numerical method

pde convergence

Feb 16 '13 at 10:14 chris 1,035

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3

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1

answer

2k

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amplification factor for the Crank Nicolson scheme for the advection equation

hyperbolic-pde

Jan 29 '13 at 19:14 Daniel Shapero 7,236

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vote

1

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344

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amplification factor of some schemes for the transport equation [closed]

hyperbolic-pde

Jan 28 '13 at 12:03 David Ketcheson 15.8k

4

8

votes

2

answers

4k

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

pde

Jan 29 '13 at 10:11 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 3,709

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2

votes

1

answer

129

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Pointwise convergence

pde

Jan 22 '13 at 9:16 chris 1,035

1

4

votes

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 46.6k

0

votes

1

answer

551

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ENO/WENO vs monotone Hermite interpolation

hyperbolic-pde interpolation

Jan 12 '13 at 3:12 Jed Brown 24.8k

3

votes

1

answer

209

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intuition behind the different discrete norms for Crank Nicolson

pde stability parabolic-pde

Jan 7 '13 at 4:11 Paul♦ 11.5k

10

16

votes

4

answers

6k

views

uniform vs. non-uniform grid

pde finite-difference

Jan 8 '13 at 23:25 Rob Schreiber 381

1

vote

1

answer

318

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energy norm for transport equation

pde stability hyperbolic-pde

Jun 1 '16 at 21:34 Geoff Oxberry 29.2k

3

votes

1

answer

996

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generating a non-uniform grid with Chebyshev discretization

pde

Dec 16 '12 at 23:31 Jed Brown 24.8k

6

votes

1

answer

226

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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

1

vote

2

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121

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how to approach time zero when the equation is not defined at that point

pde finite-element finite-difference parabolic-pde

Nov 25 '12 at 23:37 Wolfgang Bangerth 46.6k

2

votes

1

answer

412

views

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

pde finite-element finite-difference

Nov 13 '12 at 5:45 David Ketcheson 15.8k

2

6

votes

4

answers

2k

views

how to test convergence of the solution vector

pde finite-difference

Nov 13 '12 at 5:48 David Ketcheson 15.8k

2

6

votes

2

answers

5k

views

Piecewise polynomial interpolation: Hermite vs Lagrange

pde interpolation

Nov 7 '12 at 8:50 Arnold Neumaier 10.9k

3

votes

2

answers

143

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Effect of boundary condition on the local error

pde finite-difference

Oct 15 '12 at 11:37 Godric Seer 4,547

3

votes

1

answer

74

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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

5

votes

1

answer

961

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

parabolic-pde well-posedness

Aug 5 '12 at 9:38 David Ketcheson 15.8k

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41 Questions

Cauchy problem with a change of variables

Stability condition for explicit/implicit via non negative coefficients

spurious oscillations Crank-Nicolson

discretization error for the explicit scheme for heat equation

explicit scheme stability restriction

heat equation on bounded and unbounded domain

hyperbolic equation and characteristics

frozen coefficient vs. constant coefficient

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

complexity of flux limiter techniques

necessary and sufficient tests to show order of convergence for the numerical method

amplification factor for the Crank Nicolson scheme for the advection equation

amplification factor of some schemes for the transport equation [closed]

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

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

Pointwise convergence

choice of the norm for Crank Nicolson stability estimate

ENO/WENO vs monotone Hermite interpolation

intuition behind the different discrete norms for Crank Nicolson

uniform vs. non-uniform grid

energy norm for transport equation

generating a non-uniform grid with Chebyshev discretization

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

how to approach time zero when the equation is not defined at that point

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

how to test convergence of the solution vector

Piecewise polynomial interpolation: Hermite vs Lagrange

Effect of boundary condition on the local error

semiboundedness of the operator and it is affect on stability

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