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41 Questions

Views Newest Activity Votes

votes

answers

views

uniform vs. non-uniform grid

pde finite-difference

Jan 8 '13 at 23:25 Rob Schreiber 371

votes

answers

views

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

pde

Jan 29 '13 at 10:11 Community♦ 1

votes

answers

805

views

analyze stability on a nonuniform grid

finite-difference stability parabolic-pde

Jul 17 '12 at 12:28 Jed Brown 24.3k

votes

answer

206

views

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 28.4k

votes

answer

214

views

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 15.1k

votes

answers

views

how to test convergence of the solution vector

pde finite-difference

Nov 13 '12 at 5:48 David Ketcheson 15.1k

votes

answers

views

Piecewise polynomial interpolation: Hermite vs Lagrange

pde interpolation

Nov 7 '12 at 8:50 Arnold Neumaier 10.7k

votes

answer

481

views

eigenvalue analysis vs fourier analysis for stability and their equivalence

pde finite-difference parabolic-pde

Jul 11 '12 at 8:24 David Ketcheson 15.1k

votes

answers

747

views

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 41.2k

votes

answer

views

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

pde finite-difference stability

Mar 6 '16 at 12:38 David Ketcheson 15.1k

votes

answers

507

views

frozen coefficient vs. constant coefficient

pde

Apr 17 '13 at 11:06 Community♦ 1

votes

answer

views

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

pde parabolic-pde

Jan 25 '13 at 17:31 Stefano M 3,639

votes

answer

910

views

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

parabolic-pde well-posedness

Aug 5 '12 at 9:38 David Ketcheson 15.1k

votes

answers

327

views

choice of the norm for Crank Nicolson stability estimate

stability parabolic-pde

Feb 4 '13 at 4:23 Wolfgang Bangerth 41.2k

votes

answers

views

choice of the norm for the error of the numerical method

pde finite-difference

Jul 10 '12 at 12:44 shuhalo 3,200

votes

answer

views

regularity of a solution and its affect on the global error

pde finite-difference parabolic-pde

Jul 8 '12 at 19:19 Wolfgang Bangerth 41.2k

votes

answer

views

amplification factor for the Crank Nicolson scheme for the advection equation

hyperbolic-pde

Jan 29 '13 at 19:14 Daniel Shapero 5,946

votes

answer

188

views

intuition behind the different discrete norms for Crank Nicolson

pde stability parabolic-pde

Jan 7 '13 at 4:11 Paul♦ 11.2k

votes

answer

882

views

generating a non-uniform grid with Chebyshev discretization

pde

Dec 16 '12 at 23:31 Jed Brown 24.3k

votes

answers

139

views

Effect of boundary condition on the local error

pde finite-difference

Oct 15 '12 at 11:37 Godric Seer 4,457

votes

answer

views

semiboundedness of the operator and it is affect on stability

pde parabolic-pde

Sep 25 '12 at 0:44 Kamil 1,166

votes

answer

772

views

heat equation on bounded and unbounded domain

boundary-conditions parabolic-pde

Dec 27 '16 at 0:01 Community♦ 1

votes

answer

123

views

Pointwise convergence

pde

Jan 22 '13 at 9:16 chris 1,025

votes

answer

382

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 15.1k

votes

answers

727

views

error of linear interpolation

interpolation

Jul 12 '12 at 5:35 J. M. 2,895

votes

answers

394

views

I don't understand how to correctly calculate truncation error

pde finite-difference

Jun 15 '12 at 7:19 Ken 261

vote

answers

254

views

discretization error for the explicit scheme for heat equation

parabolic-pde

Feb 3 '17 at 6:56 Community♦ 1

vote

answer

131

views

Stability condition for explicit/implicit via non negative coefficients

pde finite-difference stability

Aug 5 '16 at 5:23 Brian Zatapatique 546

vote

answers

views

explicit scheme stability restriction

parabolic-pde

Jul 1 '16 at 17:39 Kamil 1,166

vote

answer

280

views

energy norm for transport equation

pde stability hyperbolic-pde

Jun 1 '16 at 21:34 Geoff Oxberry 28.4k

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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?

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?

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

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