Mixing
Condition for stable scheme
0
$begingroup$
The scheme of the form $$alpha v_{m+1}^{n+1}+beta v_{m-1}^{n+1}=v_m^n$$ are they stable if $||alpha|-|beta||ge 1$?
Thank you.
pde numerical-methods
asked Jan 28 at 16:53
amineamine
124
$endgroup$
add a comment |
0
$begingroup$
The scheme of the form $$alpha v_{m+1}^{n+1}+beta v_{m-1}^{n+1}=v_m^n$$ are they stable if $||alpha|-|beta||ge 1$?
Thank you.
pde numerical-methods
asked Jan 28 at 16:53
amineamine
124
$endgroup$
1
$begingroup$
What have you tried, if anything?
$endgroup$
– DaveNine
Jan 28 at 17:28
$begingroup$
I think that the answer is yes but i didn't manage to prove that. Can you please help me to do so? Thanks in advance.
$endgroup$
– amine
Jan 28 at 17:30
$begingroup$
There is a somewhat standard way to proving stability using fourier analysis, have you started this?
$endgroup$
– DaveNine
Jan 28 at 17:30
1
$begingroup$
Might I add that your post will not get much response if you're simply asking a question and expecting a solution.
$endgroup$
– DaveNine
Jan 28 at 17:31
$begingroup$
i don't see clearly how to use fourier analysis to prove stability (: any way thanks
$endgroup$
– amine
Jan 28 at 17:37
add a comment |
0
0
0
1
$begingroup$
The scheme of the form $$alpha v_{m+1}^{n+1}+beta v_{m-1}^{n+1}=v_m^n$$ are they stable if $||alpha|-|beta||ge 1$?
Thank you.
pde numerical-methods
asked Jan 28 at 16:53
amineamine
124
$endgroup$
The scheme of the form $$alpha v_{m+1}^{n+1}+beta v_{m-1}^{n+1}=v_m^n$$ are they stable if $||alpha|-|beta||ge 1$?
Thank you.
pde numerical-methods
pde numerical-methods
asked Jan 28 at 16:53
amineamine
124
asked Jan 28 at 16:53
amineamine
124
asked Jan 28 at 16:53
amineamine
124
asked Jan 28 at 16:53
amineamine
124
asked Jan 28 at 16:53
amineamine
124
124
1
$begingroup$
What have you tried, if anything?
$endgroup$
– DaveNine
Jan 28 at 17:28
$begingroup$
I think that the answer is yes but i didn't manage to prove that. Can you please help me to do so? Thanks in advance.
$endgroup$
– amine
Jan 28 at 17:30
$begingroup$
There is a somewhat standard way to proving stability using fourier analysis, have you started this?
$endgroup$
– DaveNine
Jan 28 at 17:30
1
$begingroup$
Might I add that your post will not get much response if you're simply asking a question and expecting a solution.
$endgroup$
– DaveNine
Jan 28 at 17:31
$begingroup$
i don't see clearly how to use fourier analysis to prove stability (: any way thanks
$endgroup$
– amine
Jan 28 at 17:37
add a comment |
1
$begingroup$
What have you tried, if anything?
$endgroup$
– DaveNine
Jan 28 at 17:28
$begingroup$
I think that the answer is yes but i didn't manage to prove that. Can you please help me to do so? Thanks in advance.
$endgroup$
– amine
Jan 28 at 17:30
$begingroup$
There is a somewhat standard way to proving stability using fourier analysis, have you started this?
$endgroup$
– DaveNine
Jan 28 at 17:30
1
$begingroup$
Might I add that your post will not get much response if you're simply asking a question and expecting a solution.
$endgroup$
– DaveNine
Jan 28 at 17:31
$begingroup$
i don't see clearly how to use fourier analysis to prove stability (: any way thanks
$endgroup$
– amine
Jan 28 at 17:37
1
1
$begingroup$
What have you tried, if anything?
$endgroup$
– DaveNine
Jan 28 at 17:28
$begingroup$
What have you tried, if anything?
$endgroup$
– DaveNine
Jan 28 at 17:28
$begingroup$
I think that the answer is yes but i didn't manage to prove that. Can you please help me to do so? Thanks in advance.
$endgroup$
– amine
Jan 28 at 17:30
$begingroup$
I think that the answer is yes but i didn't manage to prove that. Can you please help me to do so? Thanks in advance.
$endgroup$
– amine
Jan 28 at 17:30
$begingroup$
There is a somewhat standard way to proving stability using fourier analysis, have you started this?
$endgroup$
– DaveNine
Jan 28 at 17:30
$begingroup$
There is a somewhat standard way to proving stability using fourier analysis, have you started this?
$endgroup$
– DaveNine
Jan 28 at 17:30
1
1
$begingroup$
Might I add that your post will not get much response if you're simply asking a question and expecting a solution.
$endgroup$
– DaveNine
Jan 28 at 17:31
$begingroup$
Might I add that your post will not get much response if you're simply asking a question and expecting a solution.
$endgroup$
– DaveNine
Jan 28 at 17:31
$begingroup$
i don't see clearly how to use fourier analysis to prove stability (: any way thanks
$endgroup$
– amine
Jan 28 at 17:37
$begingroup$
i don't see clearly how to use fourier analysis to prove stability (: any way thanks
$endgroup$
– amine
Jan 28 at 17:37
add a comment |
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1
$begingroup$
What have you tried, if anything?
$endgroup$
– DaveNine
Jan 28 at 17:28
$begingroup$
I think that the answer is yes but i didn't manage to prove that. Can you please help me to do so? Thanks in advance.
$endgroup$
– amine
Jan 28 at 17:30
$begingroup$
There is a somewhat standard way to proving stability using fourier analysis, have you started this?
$endgroup$
– DaveNine
Jan 28 at 17:30
1
$begingroup$
Might I add that your post will not get much response if you're simply asking a question and expecting a solution.
$endgroup$
– DaveNine
Jan 28 at 17:31
$begingroup$
i don't see clearly how to use fourier analysis to prove stability (: any way thanks
$endgroup$
– amine
Jan 28 at 17:37