Thanks very much, its very useful link. Its interesting,that such simple operation demands such big efforts.

Thanks very much, its very useful link. Its interesting,that such simple operation demands such big efforts.

Thank You for Your question :) 

What about explicit polynom: I have to solve an engineering task: to interpolate a 3-d data and get a new explicit result. 

What about large problems: I agree with You, that this method can be use only for small-scale, quite smooth problems, because as result we have polynom (n-1) power (n - the biggest dimension of variable vector) and this fact (high power) can accumulate errors for oscillating functions. 

Thank You for Your question :) 

What about explicit polynom: I have to solve an engineering task: to interpolate a 3-d data and get a new explicit result. 

What about large problems: I agree with You, that this method can be use only for small-scale, quite smooth problems, because as result we have polynom (n-1) power (n - the biggest dimension of variable vector) and this fact (high power) can accumulate errors for oscillating functions. 

all right,I have a gas dynamic task: to solve well-known equation p/rho=RT, R-const

  p(pressure),T(temperature) - var arrays; rho(p,T)- function array, p,T - are mutually independent vars. I need to make polynom, for example L(p,T), wich will be interpolation of given vars in middle points( make an adequate solution for each pairs of p and T). Thank you in advance!

I mean, is there any function something like Lagrange polynom for a 2 variables function or bicubic interpolation in Maple?

I mean, is there any function something like Lagrange polynom for a 2 variables function or bicubic interpolation in Maple?