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On Simpson method
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Hi I have a question about Simpson method , can someone explain me why when we use Simpson method for an equation of second degree we divide the domain by 2 only ? and when it's cubic we divide by 3 ? What is the reason behind that ?
integration
edited Jul 14 at 16:09
Bernard
110k635103
asked Jul 14 at 16:08
Ayman
11
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up vote
-2
down vote
favorite
Hi I have a question about Simpson method , can someone explain me why when we use Simpson method for an equation of second degree we divide the domain by 2 only ? and when it's cubic we divide by 3 ? What is the reason behind that ?
integration
edited Jul 14 at 16:09
Bernard
110k635103
asked Jul 14 at 16:08
Ayman
11
add a comment |Â
up vote
-2
down vote
favorite
up vote
-2
down vote
favorite
Hi I have a question about Simpson method , can someone explain me why when we use Simpson method for an equation of second degree we divide the domain by 2 only ? and when it's cubic we divide by 3 ? What is the reason behind that ?
integration
edited Jul 14 at 16:09
Bernard
110k635103
asked Jul 14 at 16:08
Ayman
11
Hi I have a question about Simpson method , can someone explain me why when we use Simpson method for an equation of second degree we divide the domain by 2 only ? and when it's cubic we divide by 3 ? What is the reason behind that ?
integration
edited Jul 14 at 16:09
Bernard
110k635103
asked Jul 14 at 16:08
Ayman
11
edited Jul 14 at 16:09
Bernard
110k635103
edited Jul 14 at 16:09
Bernard
110k635103
edited Jul 14 at 16:09
Bernard
110k635103
110k635103
asked Jul 14 at 16:08
Ayman
11
asked Jul 14 at 16:08
Ayman
11
asked Jul 14 at 16:08
Ayman
11
11
add a comment |Â
add a comment |Â
1 Answer
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The general polynom of degree 2 has 3 coefficients, that of degree 3 has 4 coefficients. Accordingly you need that number of points to define the according polynomial curve of according degree. - As you will connect several such finite parts of these curves, you will have the continuity relation as well (last point of former = first point of next). This reduces the number of points per interval by 1.
--- rk
answered Jul 14 at 16:37
Dr. Richard Klitzing
7566
add a comment |Â
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
-1
down vote
The general polynom of degree 2 has 3 coefficients, that of degree 3 has 4 coefficients. Accordingly you need that number of points to define the according polynomial curve of according degree. - As you will connect several such finite parts of these curves, you will have the continuity relation as well (last point of former = first point of next). This reduces the number of points per interval by 1.
--- rk
answered Jul 14 at 16:37
Dr. Richard Klitzing
7566
add a comment |Â
up vote
-1
down vote
The general polynom of degree 2 has 3 coefficients, that of degree 3 has 4 coefficients. Accordingly you need that number of points to define the according polynomial curve of according degree. - As you will connect several such finite parts of these curves, you will have the continuity relation as well (last point of former = first point of next). This reduces the number of points per interval by 1.
--- rk
answered Jul 14 at 16:37
Dr. Richard Klitzing
7566
add a comment |Â
up vote
-1
down vote
up vote
-1
down vote
The general polynom of degree 2 has 3 coefficients, that of degree 3 has 4 coefficients. Accordingly you need that number of points to define the according polynomial curve of according degree. - As you will connect several such finite parts of these curves, you will have the continuity relation as well (last point of former = first point of next). This reduces the number of points per interval by 1.
--- rk
answered Jul 14 at 16:37
Dr. Richard Klitzing
7566
The general polynom of degree 2 has 3 coefficients, that of degree 3 has 4 coefficients. Accordingly you need that number of points to define the according polynomial curve of according degree. - As you will connect several such finite parts of these curves, you will have the continuity relation as well (last point of former = first point of next). This reduces the number of points per interval by 1.
--- rk
answered Jul 14 at 16:37
Dr. Richard Klitzing
7566
answered Jul 14 at 16:37
Dr. Richard Klitzing
7566
answered Jul 14 at 16:37
Dr. Richard Klitzing
7566
answered Jul 14 at 16:37
Dr. Richard Klitzing
7566
7566
add a comment |Â
add a comment |Â
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