*DECK BVPOR SUBROUTINE BVPOR (Y, NROWY, NCOMP, XPTS, NXPTS, A, NROWA, ALPHA, + NIC, B, NROWB, BETA, NFC, IFLAG, Z, MXNON, P, NTP, IP, W, NIV, + YHP, U, V, COEF, S, STOWA, G, WORK, IWORK, NFCC) C***BEGIN PROLOGUE BVPOR C***SUBSIDIARY C***PURPOSE Subsidiary to BVSUP C***LIBRARY SLATEC C***TYPE SINGLE PRECISION (BVPOR-S, DBVPOR-D) C***AUTHOR Watts, H. A., (SNLA) C***DESCRIPTION C C ********************************************************************** C INPUT to BVPOR (items not defined in BVSUP comments) C ********************************************************************** C C NOPG = 0 -- Orthonormalization points not pre-assigned C = 1 -- Orthonormalization points pre-assigned C C MXNON = Maximum number of orthogonalizations allowed. C C NDISK = 0 -- IN-CORE storage C = 1 -- DISK storage. Value of NTAPE in data statement C is set to 13. If another value is desired, C the data statement must be changed. C C INTEG = Type of integrator and associated test to be used C to determine when to orthonormalize. C C 1 -- Use GRAM-SCHMIDT test and DERKF C 2 -- Use GRAM-SCHMIDT test and DEABM C C TOL = Tolerance for allowable error in orthogonalization test. C C NPS = 0 Normalize particular solution to unit length at each C point of orthonormalization. C = 1 Do not normalize particular solution. C C NTP = Must be .GE. NFC*(NFC+1)/2. C C C NFCC = 2*NFC for special treatment of a complex valued problem C C ICOCO = 0 Skip final computations (superposition coefficients C and ,hence, boundary problem solution) C = 1 Calculate superposition coefficients and obtain C solution to the boundary value problem C C ********************************************************************** C OUTPUT from BVPOR C ********************************************************************** C C Y(NROWY,NXPTS) = Solution at specified output points. C C MXNON = Number of orthonormalizations performed by BVPOR. C C Z(MXNON+1) = Locations of orthonormalizations performed by BVPOR. C C NIV = Number of independent vectors returned from MGSBV. Normally C this parameter will be meaningful only when MGSBV returns with C MFLAG = 2. C C ********************************************************************** C C The following variables are in the argument list because of C variable dimensioning. In general, they contain no information of C use to the user. The amount of storage set aside by the user must C be greater than or equal to that indicated by the dimension C statements. For the DISK storage mode, NON = 0 and KPTS = 1, C while for the IN-CORE storage mode, NON = MXNON and KPTS = NXPTS. C C P(NTP,NON+1) C IP(NFCC,NON+1) C YHP(NCOMP,NFC+1) plus an additional column of the length NEQIVP C U(NCOMP,NFC,KPTS) C V(NCOMP,KPTS) C W(NFCC,NON+1) C COEF(NFCC) C S(NFC+1) C STOWA(NCOMP*(NFC+1)+NEQIVP+1) C G(NCOMP) C WORK(KKKWS) C IWORK(LLLIWS) C C ********************************************************************** C Subroutines used by BVPOR C LSSUDS -- Solves an underdetermined system of linear C equations. This routine is used to get a full C set of initial conditions for integration. C Called by BVPOR C C SVECS -- Obtains starting vectors for special treatment C of complex valued problems , called by BVPOR C C RKFAB -- Routine which conducts integration using DERKF or C DEABM C C STWAY -- Storage for backup capability, called by C BVPOR and REORT C C STOR1 -- Storage at output points, called by BVPOR, C RKFAB, REORT and STWAY. C C SDOT -- Single precision vector inner product routine, C called by BVPOR, SCOEF, LSSUDS, MGSBV, C BKSOL, REORT and PRVEC. C ** NOTE ** C A considerable improvement in speed can be achieved if a C machine language version is used for SDOT. C C SCOEF -- Computes the superposition constants from the C boundary conditions at Xfinal. C C BKSOL -- Solves an upper triangular set of linear equations. C C ********************************************************************** C C***SEE ALSO BVSUP C***ROUTINES CALLED BKSOL, LSSUDS, RKFAB, SCOEF, SDOT, STOR1, STWAY, C SVECS C***COMMON BLOCKS ML15TO, ML18JR, ML8SZ C***REVISION HISTORY (YYMMDD) C 750601 DATE WRITTEN C 890531 Changed all specific intrinsics to generic. (WRB) C 890831 Modified array declarations. (WRB) C 890921 Realigned order of variables in certain COMMON blocks. C (WRB) C 891214 Prologue converted to Version 4.0 format. (BAB) C 900328 Added TYPE section. (WRB) C 910722 Updated AUTHOR section. (ALS) C***END PROLOGUE BVPOR