User Millemila

6 votes

0 answers

161 views

Good numerical method for solving the Kadomtsev Petviashvili equations. Is there an analytical solution?

asked Feb 10, 2017 at 10:34

5 votes

0 answers

436 views

Stability of Crank-Nicholson for advection diffusion equation for spatial discretization other than finite differences second-order centered

asked Apr 16, 2021 at 16:48

5 votes

3 answers

185 views

Why in scientific papers convergence of finite difference and finite volume schemes is tested using multiple norms ($l_1$, $l_2$ and $l_{\infty}$)?

asked Feb 28, 2022 at 18:08

4 votes

1 answer

1k views

ODE: should Euler implicit be more accurate than Euler explicit for a given computational step?

asked Nov 8, 2018 at 2:06

3 votes

1 answer

633 views

For implicit schemes, is there any general result that says numerical diffusion increases with smaller timesteps (for CFL<1) as in explicit schemes?

asked Apr 22, 2021 at 17:00

3 votes

0 answers

257 views

Computing accuracy of my finite difference scheme for uniform grid on a non-uniform grid

asked Mar 19, 2015 at 21:13

3 votes

1 answer

6k views

Why a finite difference scheme would give second order of accuracy in norm L2 but 1.5 with L1 (while 1 with Linf)?

asked May 25, 2015 at 18:50

2 votes

1 answer

7k views

Correct way of computing norm $L_2$ for a finite difference scheme

asked May 25, 2015 at 21:48

2 votes

2 answers

280 views

Poisson equation with discontinuous variable coefficient

asked Oct 3, 2022 at 18:27

1 vote

1 answer

185 views

Debugging an implemented numerical method: which term gives the drop in accuracy?

asked Jul 21, 2015 at 11:25

0 votes

1 answer

191 views

Elliptic PDE: Proving that a 2nd order accurate discretization of the 2nd derivative of the unknown is 2nd order accurate for the unknown itself

asked Nov 15, 2018 at 19:14

0 votes

1 answer

53 views

numerical schemes for 1D PDE: for smaller grid size there is an increased roundoff error, larger size more truncation, so sweet spot in between?

asked Apr 1 at 0:02

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12 Questions

Good numerical method for solving the Kadomtsev Petviashvili equations. Is there an analytical solution?

Stability of Crank-Nicholson for advection diffusion equation for spatial discretization other than finite differences second-order centered

Why in scientific papers convergence of finite difference and finite volume schemes is tested using multiple norms ($l_1$, $l_2$ and $l_{\infty}$)?

ODE: should Euler implicit be more accurate than Euler explicit for a given computational step?

For implicit schemes, is there any general result that says numerical diffusion increases with smaller timesteps (for CFL<1) as in explicit schemes?

Computing accuracy of my finite difference scheme for uniform grid on a non-uniform grid

Why a finite difference scheme would give second order of accuracy in norm L2 but 1.5 with L1 (while 1 with Linf)?

Correct way of computing norm $L_2$ for a finite difference scheme

Poisson equation with discontinuous variable coefficient

Debugging an implemented numerical method: which term gives the drop in accuracy?

Elliptic PDE: Proving that a 2nd order accurate discretization of the 2nd derivative of the unknown is 2nd order accurate for the unknown itself

numerical schemes for 1D PDE: for smaller grid size there is an increased roundoff error, larger size more truncation, so sweet spot in between?