5 years, 36 days

## @vv 5982. Thanks ! Your idea is interes...

@vv 5982. Thanks !

Your idea is interesting but I am not familiar with a Spline Interpolation. Here Fn at the data points (xi, yi) is of size M*N but can we get analytical expressions for all  Fn(x,y)  and Un(x,y) ?  Can you please Show F2(x,y), U1(x,y) and S2(y) with for example  the following  data ?

## @Rouben Rostamian  OK. Thank you !...

@Rouben Rostamian  OK. Thank you !

## @Rouben Rostamian  Do you have an i...

@Rouben Rostamian  Do you have an idea to how to iterate numerically this process ?

## @Rouben Rostamian  Thank you. Yes, ...

@Rouben Rostamian  Thank you. Yes, U1 depends on (x,y). I have attached the file

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## @Rouben Rostamian   It is a typo. ...

It is a typo. I have corrected it

i) We define g( U ) = U + S1( 2*y*exp(-U) )

ii) We find the function U1(x) solution of g( U1(x) ) = x.

Thanks !

## infnorm...

@Carl Love Thank you Carl,

Can you please check the infnorm from the worksheet, I got   0.3096747114  ? See attached the file norm.mw

## compute Error using norm 1, 2 or infinit...

@Carl Love  That's true ! Thanks !

Questions

1)  Can we compute the error  ( x(t-2IPi) - x(t) )  without plotting  abs(  x( t-2*Pi ) - x(t) ) ?

i.e. using norm 1, 2 or infinity  ?

2)  what is op( [ a, b, c] , F ),  where F is a piecewise function ?

## interval of time ?...

@Carl Love  Yes it is true but I don't understand your interval of time for the graph ?  It is related to the derivative ?

## Verify...

@Carl Love  Thank you Carl !   I want to show that the function is close enough to being 2*Pi periodic and then find the error :

abs ( X(t-2*Pi) - X(t) ) :

For example, if I take the last curve, I will obtain:

## @Carl Love  Thanks it works !!!...

@Carl Love  Thanks it works !!!

## @vv  Thanks ,  it works ! ...

@vv  Thanks ,  it works !

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