M_odepack Module

This function routine computes the weighted max-norm of the vector of length N contained in the array V, with weights contained in the array w of length N: DMNORM = MAX(i=1,…,N) ABS(V(i))*W(i)

Arguments

Return Value real(kind=dp)

dvnorm(3f) - [M_odepack] Weighted root-mean-square vector norm.

Arguments

Return Value real(kind=dp)

This routine computes an adjustment, LDIF, to the required integer storage space in IWK (sparse matrix work space).

Arguments

cdrv(3f) - [M_odepack ] driver for solving sparse non-symmetric systems of linear equations

Arguments

This routine counts the number of nonzero elements in the strict upper triangle of the matrix M + M(transpose), where the sparsity structure of M is given by pointer arrays IA and JA.

Arguments

This subroutine computes the initial value of the vector YDOT satisfying

Arguments

This subroutine computes the initial value of the vector YDOT satisfying

Arguments

daxpy(3f) - [M_odepack::matrix] Compute a constant times a vector plus a vector.

Arguments

dcfode(3f) - [M_odepack] Set ODE integrator coefficients.

Arguments

dcopy(3f) - [M_odepack::matrix] copy a vector

Arguments

dewset(3f) - [M_odepack] Set error weight vector.

Arguments

dgefa(3f) - [M_odepack::matrix] Factor a matrix using Gaussian elimination.

Arguments

dgesl(3f) - [M_odepack::matrix] Solve the real system AX=B or TRANS(A)X=B using the factors computed by DGECO or DGEFA.

Arguments

DINTDY computes interpolated values of the K-th derivative of the dependent variable vector y, and stores it in DKY. This routine is called within the package with K = 0 and T = TOUT, but may also be called by the user for any K up to the current order. (See detailed instructions in the usage documentation.)

Arguments

This routine serves as an interface between the driver and Subroutine DPREP. It is called only if MITER is 1 or 2. Tasks performed here are:

Arguments

This routine serves as an interface between the driver and Subroutine DPREPI. Tasks performed here are:

Arguments

dlhin(3f) - [M_odepack] compute step size H0 to be attempted on the first step, when the user supplied value is absent

Arguments

DLSODA solves the initial value problem for stiff or nonstiff systems of first order ODEs of the form

Arguments

DLSODAR solves the initial value problem for stiff or nonstiff systems of first order ODEs of the form

Arguments

DLSODE solves the initial-value problem for stiff or nonstiff systems of first-order ODE’s,

Arguments

DLSODES solves the initial value problem for stiff or nonstiff systems of first order ODEs,

Arguments

DLSODI solves the initial value problem for linearly implicit systems of first order ODEs,

Arguments

DLSODIS solves the initial value problem for linearly implicit systems of first order ODEs,

Arguments

DLSODKR: Livermore Solver for Ordinary Differential equations, with preconditioned Krylov iteration methods for the Newton correction linear systems, and with Rootfinding.

Arguments

DLSODPK: Livermore Solver for Ordinary Differential equations, with Preconditioned Krylov iteration methods for the Newton correction linear systems.

Arguments

DLSOIBT: Livermore Solver for Ordinary differential equations given in Implicit form, with Block-Tridiagonal Jacobian treatment.

Arguments

DPJIBT is called by DSTODI to compute and process the matrix P = A - HEL(1)J, where J is an approximation to the Jacobian dr/dy, and r = g(t,y) - A(t,y)*s.

Arguments

DPREPJ is called by DSTODE to compute and process the matrix P = I - hel(1)J , where J is an approximation to the Jacobian.

Arguments

DPREPJI is called by DSTODI to compute and process the matrix P = A - HEL(1)J, where J is an approximation to the Jacobian dr/dy, where r = g(t,y) - A(t,y)*s.

Arguments

DPRJA is called by DSTODA to compute and process the matrix P = I - HEL(1)J, where J is an approximation to the Jacobian.

Arguments

DPRJIS is called to compute and process the matrix P = A - HEL(1)J, where J is an approximation to the Jacobian dr/dy, where r = g(t,y) - A(t,y)*s.

Arguments

DPRJS is called to compute and process the matrix P = I - HEL(1)J, where J is an approximation to the Jacobian. J is computed by columns, either by the user-supplied routine JAC if MITER = 1, or by finite differencing if MITER = 2.

Arguments

This routine checks for the presence of a root in the vicinity of the current T, in a manner depending on the input flag JOB. It calls Subroutine DROOTS to locate the root as precisely as possible.

Arguments

dscal(3f) - [M_odepack::matrix] Multiply a vector by a constant.

Arguments

This routine acts as an interface between the core integrator routine and the DSOLBT routine for the solution of the linear system arising from chord iteration. Communication with DSLSBT uses the following variables:

Arguments

This routine manages the solution of the linear system arising from a chord iteration. It is called if MITER .ne. 0.

Arguments

This routine manages the solution of the linear system arising from a chord iteration. It is called if MITER .ne. 0.

Arguments

This routine saves or restores (depending on JOB) the contents of the Common blocks DLS001, type(dlsa01)::DLSA, DLSR01, which are used internally by one or more ODEPACK solvers.

Arguments

This routine saves or restores (depending on JOB) the contents of the Common blocks DLS001, DLSR01, DLPK01, which are used internally by the DLSODKR solver.

Arguments

This routine saves or restores (depending on JOB) the contents of the Common blocks DLS001, type(DLSA01)::DLSA, which are used internally by one or more ODEPACK solvers.

Arguments

This routine saves or restores (depending on JOB) the contents of the Common blocks DLS001, DLSS01, which are used internally by one or more ODEPACK solvers.

Arguments

dsrcom(3f) - [M_odepack] Save/restore ODEPACK COMMON blocks.

Arguments

This routine saves or restores (depending on JOB) the contents of the internal types used internally by the DLSODPK solver.

Arguments

DSTODA performs one step of the integration of an initial value problem for a system of ordinary differential equations.

Arguments

DSTODPK performs one step of the integration of an initial value problem for a system of Ordinary Differential Equations.

Arguments

DSTOKA performs one step of the integration of an initial value problem for a system of Ordinary Differential Equations.

Arguments

This subroutine constructs groupings of the column indices of the Jacobian matrix, used in the numerical evaluation of the Jacobian by finite differences.

Arguments

odrv(3f) [M_odepack] - driver for sparse matrix reordering routines

Arguments

xerrwd(3f) - [M_odepack::Matrix] Write error message with values.

Arguments

xsetf(3f) - [M_odepack::matrix] Reset the error print control flag.

Arguments

xsetun(3f) - [M_odepack::matrix] Reset the logical unit number for error messages.

Arguments