Explicit extrapolation scheme for time integration. More...

Inheritance diagram for ext_time_scheme::ext_time_scheme_t:

Collaboration diagram for ext_time_scheme::ext_time_scheme_t:

Public Member Functions
procedure, nopass	compute_coeffs => ext_time_scheme_compute_coeffs
	Compute the scheme coefficients. More...

procedure, nopass	compute_modified_coeffs => ext_time_scheme_compute_modified_coeffs
	Compute the coefficients for the modified EXT scheme. More...

Detailed Description

Compute the value at the current time-step by evaluating a polynomial built using the values on previous time-steps.

For a constant time-step corresponds to the following schemes of order 1 to 3:

Order 1: \( u^{n+1} = u^n \)
Order 2: \( u^{n+1} = 2u^n - u^{n-1} \), linear extrapolation
Order 3: \( u^{n+1} = 3u^n - 3u^{n-1} + u^{n-2} \) An additional scheme is available via compute_modified_coeffs, which is gives improved stability when combined with BDF2 in a advection-diffusion equation.
Order 3: \( u^{n+1} = 8/3u^n - 7/3u^{n-1} + 2/3u^{n-2} \)

Definition at line 84 of file ext_time_scheme.f90.

Member Function/Subroutine Documentation

procedure, nopass ext_time_scheme::ext_time_scheme_t::compute_coeffs

Definition at line 87 of file ext_time_scheme.f90.

procedure, nopass ext_time_scheme::ext_time_scheme_t::compute_modified_coeffs

Definition at line 89 of file ext_time_scheme.f90.

The documentation for this type was generated from the following file: