Skip to main content

Methods

Functional space made of Chebyshev polynomials of first kind. See [[ChebyshevFirst1D_]] and [[AbstractOrthopol1D_]].

Structure​

ConstructorMethods​

ChebyshevFirstSpace​

Usage example is given below.

obj = ChebyshevFirstSpace(n=10)

IOMethods​

Display​

Usage example is given below.

CALL obj%Display( msg="test message", unitno=stdout )

GetMethods​

Eval​

Eval evaluate all the basis in the space at a given point. The following function will return a vector y.

y = obj%Eval( x=x ) !! here x is scalar, y is vector

We can also evaluate basis functions at several x if we supply a vector x to Eval.

y = obj%Eval( x=x )
note

y(:,i) contains values of basis function at point x(i).

EvalGradient​

This function evaluate each basis function at a given point. If we pass a single value of x, then it returns a vector y. In this case y(i) denotes the value of gradient of ith basis function evaluated at point x(i). The usage is given below.

y = obj%EvalGradient( x=x )

We can also evaluate gradient at several values by passing a vector of points x.

y(:,:) = obj%EvalGradient( x=x(:) )

SetMethods​