"THE EFFICIENT SOLUTION OF THE SCHRODINGER EQUATION" - читать интересную книгу автора (Simons)

ADLIMAPLESIM. AN ACCURATE EIGHTH ORDER EXPONENTIALLY-FITTED METHOD FOR
1 THE EFFICIENT SOLUTION OF THE SCHRODINGER EQUATION. T.E. SIMOS.
REF. IN COMP. PHYS. COMMUN. 125 (2000) 21
Computer Algebra Program
Written in Maple for the Derivation of the
Formulae of the New Method
%
%
% Derivation of the coefficients produced by the equation (14).
% The first part of the proposed program consists of the calculation of the
% matrix elements which form the coefficients of the system of equations.
% The second part of the proposed program, as this has been explained
% in [20], [22] and [23], consists of the iteratiove application of the
% LТHospitalТs rule (to avoid coefficients of the form ) for the computation
% of the solution of these equations that make up the coefficients of the
% method (14).
%
% The elements of the matrices for the solution of the system of equations
% are determined.
%
par1:=-1; (formula of the coefficient of )
par2:= ; (formula of the coefficient of )
par3:= ; (formula of the coefficient of )
par4:= ; (formula of the coefficient of )
par5:= ; (formula of the coefficient of )
par6:= ; (formula of the right hand side of the equation)
par10:=subs( ,par1);
par11:=subs( ,par1);
par12:=subs( ,par1);
par13:=subs( ,par1);
par14:=subs( ,par1);
par20:=subs( ,par2);
par21:=subs( ,par2);
par22:=subs( ,par2);
par23:=subs( ,par2);
par24:=subs( ,par2);
par30:=subs( ,par3);
par31:=subs( ,par3);
par32:=subs( ,par3);
par33:=subs( ,par3);
par34:=subs( ,par3);
par40:=subs( ,par4);
par41:=subs( ,par4);
par42:=subs( ,par4);
par43:=subs( ,par4);
par44:=subs( ,par4);
par50:=subs( ,par5);
par51:=subs( ,par5);
par52:=subs( ,par5);
par53:=subs( ,par5);