grid_Val_Grow

function grid_Val_Grow(x, left, right, growth, n)

Description:

Applies the gridpoint formula

for nodes with growing distance on the interval . If is equal to an integer value in the interval , the function returns the values of the respective gridpoints that the subroutine grid_Cons_Grow would create. If lies in between integer values, the function will return a value in between two gridpoints according to the above formula.

Input arguments:

• real*8 :: x
  The point where to evaluate the gridpoint formula, corresponds to .
• real*8 :: left
  The left interval endpoint, corresponds to .
• real*8 :: right
  The right interval endpoint, corresponds to .
• real*8 :: growth
  The growth rate of gridpoints, corresponds to .
• integer :: n
  The number of gridpoints to use, corresponds to and defines the interval .

Return Value:

• real*8 :: grid_Val_Grow
  The value of the gridpoint formula at point x.

References

• For further reading refer to:
  • Süli, E. & Mayers, D. F. (2003). An Introduction to Numerical Analysis. Cambridge: Cambridge University Press.
  • Powell, M.J.D. (1996). Approximation Theory and Methods. Cambridge: Cambridge University Press.