I1a1. Initial value problem of ordinary differential equations (for non-stiff problem) (DEPRECATED)

Functions
Function	Contd5 (I As Long, T As Double, RCont As Double, ICont As Long) As Double
	Initial value problem of ordinary differential equations (5(4)-th order Dorman-Prince method) (Interpolation for dense output)
Function	Contd5_r (I As Long, T As Double, RCont() As Double, ICont() As Long) As Double
	Initial value problem of ordinary differential equations (5(4)-th order Dorman-Prince method) (Reverse communication version) (Interpolation for dense output)
Function	Contd8 (I As Long, T As Double, RCont As Double, ICont As Long) As Double
	Initial value problem of ordinary differential equations (8(5,3)-th order Dorman-Prince method) (Interpolation for dense output)
Function	Contd8_r (I As Long, T As Double, RCont() As Double, ICont() As Long) As Double
	Initial value problem of ordinary differential equations (8(5,3)-th order Dorman-Prince method) (Reverse communication version) (Interpolation for dense output)
Function	Contx1 (I As Long, T As Double, RCont As Double, ICont As Long) As Double
	Initial value problem of ordinary differential equations (Extrapolation method (GBS algorithm)) (Interpolation for dense output)
Function	Contx1_r (I As Long, T As Double, RCont() As Double, ICont() As Long) As Double
	Initial value problem of ordinary differential equations (Extrapolation method (GBS algorithm)) (Reverse communication version) (Interpolation for dense output)
Function	Contx2 (I As Long, T As Double, RCont As Double, ICont As Long) As Double
	Initial value problem of second order ordinary differential equations (Extrapolation method) (for second order differential equations) (Interpolation for dense output)
Function	Contx2_r (I As Long, T As Double, RCont() As Double, ICont() As Long) As Double
	Initial value problem of second order ordinary differential equations (Extrapolation method) (for second order differential equations) (Reverse communication version) (Interpolation for dense output)
Sub	Derkf (N As Long, F As LongPtr, T As Double, Y() As Double, Tout As Double, RTol() As Double, ATol() As Double, Info As Long, Optional Mode As Long=0, Optional Cont As LongPtr)
	Initial value problem of a system of first order ordinary differential equations (5(4)-th order Runge-Kutta-Fehlberg method)
Sub	Derkf_r (N As Long, T As Double, Y() As Double, Tout As Double, RTol() As Double, ATol() As Double, Info As Long, TT As Double, YY() As Double, YYp() As Double, IRev As Long, Optional Mode As Long=-1, Optional Cont As LongPtr)
	Initial value problem of a system of first order ordinary differential equations (5(4)-th order Runge-Kutta-Fehlberg method) (reverse communication version)
Sub	DerkfInt (N As Long, T As Double, Y() As Double, Cont As LongPtr, Optional Info As Long)
	Initial value problem of a system of first order ordinary differential equations (5(4)-th order Runge-Kutta-Fehlberg method) (Interpolation for dense output)
Sub	Dop853 (N As Long, F As LongPtr, T As Double, Y() As Double, Tout As Double, RTol() As Double, ATol() As Double, Info As Long, Optional Solout As LongPtr=NullPtr, Optional Neval As Long, Optional Nstep As Long, Optional Naccept As Long, Optional Nreject As Long, Optional Hinit As Double=0, Optional Hmax As Double=0, Optional MaxIter As Long=0, Optional Nstiff As Long=0, Optional Safe As Double=0, Optional Fac1 As Double=0, Optional Fac2 As Double=0, Optional Beta As Double=0, Optional Cnt As Long=0)
	Initial value problem of ordinary differential equations (8(5,3)-th order Dorman-Prince method)
Sub	Dop853_r (N As Long, T As Double, Y() As Double, Tout As Double, RTol() As Double, ATol() As Double, Cont() As Double, IComp() As Long, Info As Long, TT As Double, YY() As Double, YYp() As Double, Irtrn As Long, IRev As Long, Optional Iout As Long=0, Optional Neval As Long, Optional Nstep As Long, Optional Naccept As Long, Optional Nreject As Long, Optional Hinit As Double=0, Optional Hmax As Double=0, Optional MaxIter As Long=0, Optional Nstiff As Long=0, Optional Safe As Double=0, Optional Fac1 As Double=0, Optional Fac2 As Double=0, Optional Beta As Double=0, Optional Cnt As Long=0)
	Initial value problem of ordinary differential equations (8(5,3)-th order Dorman-Prince method) (reverse communication version)
Sub	Dopri5 (N As Long, F As LongPtr, T As Double, Y() As Double, Tout As Double, RTol() As Double, ATol() As Double, Info As Long, Optional Solout As LongPtr=NullPtr, Optional Neval As Long, Optional Nstep As Long, Optional Naccept As Long, Optional Nreject As Long, Optional Hinit As Double=0, Optional Hmax As Double=0, Optional MaxIter As Long=0, Optional Nstiff As Long=0, Optional Safe As Double=0, Optional Fac1 As Double=0, Optional Fac2 As Double=0, Optional Beta As Double=0, Optional Cnt As Long=0)
	Initial value problem of ordinary differential equations (5(4)-th order Dorman-Prince method)
Sub	Dopri5_r (N As Long, T As Double, Y() As Double, Tout As Double, RTol() As Double, ATol() As Double, RCont() As Double, ICont() As Long, Info As Long, TT As Double, YY() As Double, YYp() As Double, Irtrn As Long, IRev As Long, Optional Iout As Long=0, Optional Neval As Long, Optional Nstep As Long, Optional Naccept As Long, Optional Nreject As Long, Optional Hinit As Double=0, Optional Hmax As Double=0, Optional MaxIter As Long=0, Optional Nstiff As Long=0, Optional Safe As Double=0, Optional Fac1 As Double=0, Optional Fac2 As Double=0, Optional Beta As Double=0, Optional Cnt As Long=0)
	Initial value problem of ordinary differential equations (5(4)-th order Dorman-Prince method) (reverse communication version)
Sub	Doprin (N As Long, F As LongPtr, T As Double, Y() As Double, Yp() As Double, Tout As Double, RTol() As Double, ATol() As Double, Info As Long, Optional Solout As LongPtr=NullPtr, Optional Neval As Long, Optional Nstep As Long, Optional Naccept As Long, Optional Nreject As Long, Optional Hinit As Double=0, Optional Hmax As Double=0, Optional MaxIter As Long=0, Optional Safe As Double=0, Optional Fac1 As Double=0, Optional Fac2 As Double=0, Optional Cnt As Long=0)
	Initial value problem of ordinary differential equations (7(6)-th order Runge-Kutta-Nystrom method) (for second order differential equations)
Sub	Doprin_r (N As Long, T As Double, Y() As Double, Yp() As Double, Tout As Double, RTol() As Double, ATol() As Double, Info As Long, TT As Double, YY() As Double, YYpp() As Double, Irtrn As Long, IRev As Long, Optional Iout As Long=0, Optional Neval As Long, Optional Nstep As Long, Optional Naccept As Long, Optional Nreject As Long, Optional Hinit As Double=0, Optional Hmax As Double=0, Optional MaxIter As Long=0, Optional Safe As Double=0, Optional Fac1 As Double=0, Optional Fac2 As Double=0, Optional Cnt As Long=0)
	Initial value problem of ordinary differential equations (7(6)-th order Runge-Kutta-Nystrom method) (for second order differential equations)
Sub	Dverk (N As Long, F As LongPtr, T As Double, Y() As Double, Tout As Double, Tol As Double, Info As Long, Optional Neval As Long, Optional Naccept As Long, Optional MaxEval As Long=0, Optional Int1 As Long=0, Optional Int2 As Long=0, Optional Hmin As Double=0, Optional Hmax As Double=0, Optional Scal As Double=0, Optional Hstart As Double=0, Optional Weight As Long=0, Optional Floor As Double, Optional Cont As LongPtr)
	Initial value problem of ordinary differential equations (6(5)-th order Runge-Kutta-Verner method)
Sub	Dverk_r (N As Long, T As Double, Y() As Double, Tout As Double, Tol As Double, Info As Long, TT As Double, YY() As Double, YYp() As Double, IRev As Long, Optional Neval As Long, Optional Naccept As Long, Optional MaxEval As Long=0, Optional Int1 As Long=0, Optional Int2 As Long=0, Optional Hmin As Double=0, Optional Hmax As Double=0, Optional Scal As Double=0, Optional Hstart As Double=0, Optional Weight As Long=0, Optional Floor As Double, Optional Cont As LongPtr)
	Initial value problem of ordinary differential equations (6(5)-th order Runge-Kutta-Verner method) (reverse communication version)
Sub	DverkInt (N As Long, T As Double, Y() As Double, Cont As LongPtr, Optional Info As Long)
	Initial value problem of ordinary differential equations (6(5)-th order Runge-Kutta-Verner method) (Interpolation for dense output)
Sub	Odex (N As Long, F As LongPtr, T As Double, Y() As Double, Tout As Double, RTol() As Double, ATol() As Double, Info As Long, Optional Solout As LongPtr=NullPtr, Optional Neval As Long, Optional Nstep As Long, Optional Naccept As Long, Optional Nreject As Long, Optional Hinit As Double=0, Optional Hmax As Double=0, Optional MaxIter As Long=0, Optional Km As Long=0, Optional Nsequ As Long=0, Optional Mstab As Long=0, Optional Jstab As Long=0, Optional Iderr As Long=0, Optional Mudif As Long=0, Optional Fac1 As Double=0, Optional Fac2 As Double=0, Optional Fac3 As Double=0, Optional Fac4 As Double=0, Optional Safe1 As Double=0, Optional Safe2 As Double=0, Optional Safe3 As Double=0, Optional Cnt As Long=0)
	Initial value problem of ordinary differential equations (extrapolation method (GBS algorithm))
Sub	Odex2 (N As Long, F2 As LongPtr, T As Double, Y() As Double, Yp() As Double, Tout As Double, RTol() As Double, ATol() As Double, Info As Long, Optional Solout2 As LongPtr=NullPtr, Optional Neval As Long, Optional Nstep As Long, Optional Naccept As Long, Optional Nreject As Long, Optional Hinit As Double=0, Optional Hmax As Double=0, Optional MaxIter As Long=0, Optional Km As Long=0, Optional Nsequ As Long=0, Optional Iderr As Long=0, Optional Mudif As Long=0, Optional Fac1 As Double=0, Optional Fac2 As Double=0, Optional Fac3 As Double=0, Optional Fac4 As Double=0, Optional Safe1 As Double=0, Optional Safe2 As Double=0, Optional Safe3 As Double=0, Optional Cnt As Long=0)
	Initial value problem of ordinary differential equations (extrapolation method) (for second order differential equations)
Sub	Odex2_r (N As Long, T As Double, Y() As Double, Yp() As Double, Tout As Double, RTol() As Double, ATol() As Double, RCont() As Double, ICont() As Long, Info As Long, TT As Double, YY() As Double, YYp2() As Double, Irtrn As Long, IRev As Long, Optional Iout As Long=0, Optional Neval As Long, Optional Nstep As Long, Optional Naccept As Long, Optional Nreject As Long, Optional Hinit As Double=0, Optional Hmax As Double=0, Optional MaxIter As Long=0, Optional Km As Long=0, Optional Nsequ As Long=0, Optional Iderr As Long=0, Optional Mudif As Long=0, Optional Fac1 As Double=0, Optional Fac2 As Double=0, Optional Fac3 As Double=0, Optional Fac4 As Double=0, Optional Safe1 As Double=0, Optional Safe2 As Double=0, Optional Safe3 As Double=0, Optional Cnt As Long=0)
	Initial value problem of ordinary differential equations (extrapolation method) (for second order differential equations) (reverse communication version)
Sub	Odex_r (N As Long, T As Double, Y() As Double, Tout As Double, RTol() As Double, ATol() As Double, RCont() As Double, ICont() As Long, Info As Long, TT As Double, YY() As Double, YYp() As Double, Irtrn As Long, IRev As Long, Optional Iout As Long=0, Optional Neval As Long, Optional Nstep As Long, Optional Naccept As Long, Optional Nreject As Long, Optional Hinit As Double=0, Optional Hmax As Double=0, Optional MaxIter As Long=0, Optional Km As Long=0, Optional Nsequ As Long=0, Optional Mstab As Long=0, Optional Jstab As Long=0, Optional Iderr As Long=0, Optional Mudif As Long=0, Optional Fac1 As Double=0, Optional Fac2 As Double=0, Optional Fac3 As Double=0, Optional Fac4 As Double=0, Optional Safe1 As Double=0, Optional Safe2 As Double=0, Optional Safe3 As Double=0, Optional Cnt As Long=0)
	Initial value problem of ordinary differential equations (extrapolation method (GBS algorithm)) (reverse communication version)
Sub	Retard (N As Long, F As LongPtr, T As Double, Y() As Double, Tout As Double, RTol() As Double, ATol() As Double, Ngrid As Long, TGrid() As Double, Info As Long, Optional Solout As LongPtr=NullPtr, Optional Neval As Long, Optional Nstep As Long, Optional Naccept As Long, Optional Nreject As Long, Optional Mxst As Long=0, Optional Nrdens As Long=0, Optional Hinit As Double=0, Optional Hmax As Double=0, Optional MaxIter As Long=0, Optional Nstiff As Long=0, Optional Safe As Double=0, Optional Fac1 As Double=0, Optional Fac2 As Double=0, Optional Beta As Double=0, Optional Cnt As Long=0)
	Initial value problem of delay differential equations (5(4)-th order Dorman-Prince method)
Sub	Retard_r (N As Long, T As Double, Y() As Double, Tout As Double, RTol() As Double, ATol() As Double, Ngrid As Long, TGrid() As Double, RCont() As Double, ICont() As Long, Info As Long, TT As Double, YY() As Double, YYp() As Double, Irtrn As Long, IRev As Long, Optional Iout As Long=0, Optional Neval As Long, Optional Nstep As Long, Optional Naccept As Long, Optional Nreject As Long, Optional Nrdens As Long=0, Optional Hinit As Double=0, Optional Hmax As Double=0, Optional MaxIter As Long=0, Optional Nstiff As Long=0, Optional Safe As Double=0, Optional Fac1 As Double=0, Optional Fac2 As Double=0, Optional Beta As Double=0, Optional Cnt As Long=0)
	Initial value problem of delay differential equations (5(4)-th order Dorman-Prince method) (reverse communication version)
Function	Ylag (I As Long, T As Double, Phi As LongPtr, RCont As Double, ICont As Long) As Double
	Initial value problem of delay differential equations (5(4)-th order Dorman-Prince method) (Interpolation for back-values of solution)
Sub	Ylag_r (I As Long, T As Double, RCont() As Double, ICont() As Long, YY As Double, IRev As Long)
	Initial value problem of delay differential equations (5(4)-th order Dorman-Prince method) (Reverse communication version) (Interpolation for back-values of solution)

Detailed Description

This is the group of I1a1. Initial value problem of ordinary differential equations (for non-stiff problem).