chebyshev_coefficients.F90 File Reference

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Modules
module	chebyshev_coefficients_oct_m

Data Types
type	chebyshev_coefficients_oct_m::chebyshev_function_t
interface	chebyshev_coefficients_oct_m::chebyshev_get_coefficients
interface	chebyshev_coefficients_oct_m::chebyshev_get_error
interface	chebyshev_coefficients_oct_m::chebyshev_exp_t
interface	chebyshev_coefficients_oct_m::chebyshev_exp_imagtime_t
interface	chebyshev_coefficients_oct_m::complex_function_i
interface	chebyshev_coefficients_oct_m::chebyshev_numerical_t

Functions/Subroutines
subroutine	chebyshev_coefficients_oct_m::chebyshev_set_parameters (this, half_span, middle_point, deltat)
class(chebyshev_exp_t) function, pointer	chebyshev_coefficients_oct_m::chebyshev_exp_constructor (half_span, middle_point, deltat)
subroutine	chebyshev_coefficients_oct_m::chebyshev_exp_coefficients (this, order, coefficients)
real(real64) function	chebyshev_coefficients_oct_m::chebyshev_exp_error (this, order)
	Use the error estimate from Lubich, C. From Quantum to Classical Molecular Dynamics: Reduced Models and Numerical Analysis. (EMS Press, 2008), doi:10.4171/067, Theorems 2.1 to 2.4. More...
class(chebyshev_exp_imagtime_t) function, pointer	chebyshev_coefficients_oct_m::chebyshev_exp_imagtime_constructor (half_span, middle_point, deltat)
subroutine	chebyshev_coefficients_oct_m::chebyshev_exp_imagtime_coefficients (this, order, coefficients)
real(real64) function	chebyshev_coefficients_oct_m::chebyshev_exp_imagtime_error (this, order)
	Use the error estimate from Hochbruck, M. & Ostermann, A. Exponential integrators. Acta Numerica 19, 209–286 (2010), Theorem 4.1 (page 265) and L. Bergamaschi and M. Vianello: Efficient computation of the exponential operator for large, sparse, symmetric matrices, Numer. Linear Algebra Appl. 7, 27–45 (2000), eq. 2.7. More...
class(chebyshev_numerical_t) function, pointer	chebyshev_coefficients_oct_m::chebyshev_numerical_constructor (half_span, middle_point, deltat, complex_function)
subroutine	chebyshev_coefficients_oct_m::chebyshev_numerical_coefficients (this, order, coefficients)
	use a discrete cosine transform to compute the coefficients because no analytical formula is available for the phi_k functions More...
real(real64) function	chebyshev_coefficients_oct_m::chebyshev_numerical_error (this, order)
	use the error estimate from Lubich, C. From Quantum to Classical Molecular Dynamics: Reduced Models and Numerical Analysis. (EMS Press, 2008), doi:10.4171/067, Theorems 2.1 to 2.4 More...