SLATEC Common Mathematical Library -- Table of Contents

SECTION I. User-callable Routines
Category I. Differential and integral equations

         I1.  Ordinary differential equations
         I2.  Partial differential equations

I1.  Ordinary differential equations
I1A.  Initial value problems
I1A1.  General, nonstiff or mildly stiff
I1A1A.  One-step methods (e.g., Runge-Kutta)
 
          DERKF-S   Solve an initial value problem in ordinary differential
          DDERKF-D  equations using a Runge-Kutta-Fehlberg scheme.
 
I1A1B.  Multistep methods (e.g., Adams' predictor-corrector)
 
          DEABM-S   Solve an initial value problem in ordinary differential
          DDEABM-D  equations using an Adams-Bashforth method.
 
          SDRIV1-S  The function of SDRIV1 is to solve N (200 or fewer)
          DDRIV1-D  ordinary differential equations of the form
          CDRIV1-C  dY(I)/dT = F(Y(I),T), given the initial conditions
                    Y(I) = YI.  SDRIV1 uses single precision arithmetic.
 
          SDRIV2-S  The function of SDRIV2 is to solve N ordinary differential
          DDRIV2-D  equations of the form dY(I)/dT = F(Y(I),T), given the
          CDRIV2-C  initial conditions Y(I) = YI.  The program has options to
                    allow the solution of both stiff and non-stiff differential
                    equations.  SDRIV2 uses single precision arithmetic.
 
          SDRIV3-S  The function of SDRIV3 is to solve N ordinary differential
          DDRIV3-D  equations of the form dY(I)/dT = F(Y(I),T), given the
          CDRIV3-C  initial conditions Y(I) = YI.  The program has options to
                    allow the solution of both stiff and non-stiff differential
                    equations.  Other important options are available.  SDRIV3
                    uses single precision arithmetic.
 
          SINTRP-S  Approximate the solution at XOUT by evaluating the
          DINTP-D   polynomial computed in STEPS at XOUT.  Must be used in
                    conjunction with STEPS.
 
          STEPS-S   Integrate a system of first order ordinary differential
          DSTEPS-D  equations one step.
 
I1A2.  Stiff and mixed algebraic-differential equations
 
          DEBDF-S   Solve an initial value problem in ordinary differential
          DDEBDF-D  equations using backward differentiation formulas.  It is
                    intended primarily for stiff problems.
 
          SDASSL-S  This code solves a system of differential/algebraic
          DDASSL-D  equations of the form G(T,Y,YPRIME) = 0.
 
          SDRIV1-S  The function of SDRIV1 is to solve N (200 or fewer)
          DDRIV1-D  ordinary differential equations of the form
          CDRIV1-C  dY(I)/dT = F(Y(I),T), given the initial conditions
                    Y(I) = YI.  SDRIV1 uses single precision arithmetic.
 
          SDRIV2-S  The function of SDRIV2 is to solve N ordinary differential
          DDRIV2-D  equations of the form dY(I)/dT = F(Y(I),T), given the
          CDRIV2-C  initial conditions Y(I) = YI.  The program has options to
                    allow the solution of both stiff and non-stiff differential
                    equations.  SDRIV2 uses single precision arithmetic.
 
          SDRIV3-S  The function of SDRIV3 is to solve N ordinary differential
          DDRIV3-D  equations of the form dY(I)/dT = F(Y(I),T), given the
          CDRIV3-C  initial conditions Y(I) = YI.  The program has options to
                    allow the solution of both stiff and non-stiff differential
                    equations.  Other important options are available.  SDRIV3
                    uses single precision arithmetic.
 
I1B.  Multipoint boundary value problems
I1B1.  Linear
 
          BVSUP-S   Solve a linear two-point boundary value problem using
          DBVSUP-D  superposition coupled with an orthonormalization procedure
                    and a variable-step integration scheme.
 
I2.  Partial differential equations
I2B.  Elliptic boundary value problems
I2B1.  Linear
I2B1A.  Second order
I2B1A1.  Poisson (Laplace) or Helmholz equation
I2B1A1A.  Rectangular domain (or topologically rectangular in the coordinate
          system)
 
          HSTCRT-S  Solve the standard five-point finite difference
                    approximation on a staggered grid to the Helmholtz equation
                    in Cartesian coordinates.
 
          HSTCSP-S  Solve the standard five-point finite difference
                    approximation on a staggered grid to the modified Helmholtz
                    equation in spherical coordinates assuming axisymmetry
                    (no dependence on longitude).
 
          HSTCYL-S  Solve the standard five-point finite difference
                    approximation on a staggered grid to the modified
                    Helmholtz equation in cylindrical coordinates.
 
          HSTPLR-S  Solve the standard five-point finite difference
                    approximation on a staggered grid to the Helmholtz equation
                    in polar coordinates.
 
          HSTSSP-S  Solve the standard five-point finite difference
                    approximation on a staggered grid to the Helmholtz
                    equation in spherical coordinates and on the surface of
                    the unit sphere (radius of 1).
 
          HW3CRT-S  Solve the standard seven-point finite difference
                    approximation to the Helmholtz equation in Cartesian
                    coordinates.
 
          HWSCRT-S  Solves the standard five-point finite difference
                    approximation to the Helmholtz equation in Cartesian
                    coordinates.
 
          HWSCSP-S  Solve a finite difference approximation to the modified
                    Helmholtz equation in spherical coordinates assuming
                    axisymmetry  (no dependence on longitude).
 
          HWSCYL-S  Solve a standard finite difference approximation
                    to the Helmholtz equation in cylindrical coordinates.
 
          HWSPLR-S  Solve a finite difference approximation to the Helmholtz
                    equation in polar coordinates.
 
          HWSSSP-S  Solve a finite difference approximation to the Helmholtz
                    equation in spherical coordinates and on the surface of the
                    unit sphere (radius of 1).
 
I2B1A2.  Other separable problems
 
          SEPELI-S  Discretize and solve a second and, optionally, a fourth
                    order finite difference approximation on a uniform grid to
                    the general separable elliptic partial differential
                    equation on a rectangle with any combination of periodic or
                    mixed boundary conditions.
 
          SEPX4-S   Solve for either the second or fourth order finite
                    difference approximation to the solution of a separable
                    elliptic partial differential equation on a rectangle.
                    Any combination of periodic or mixed boundary conditions is
                    allowed.
 
I2B4.  Service routines
I2B4B.  Solution of discretized elliptic equations
 
          BLKTRI-S  Solve a block tridiagonal system of linear equations
          CBLKTR-C  (usually resulting from the discretization of separable
                    two-dimensional elliptic equations).
 
          GENBUN-S  Solve by a cyclic reduction algorithm the linear system
          CMGNBN-C  of equations that results from a finite difference
                    approximation to certain 2-d elliptic PDE's on a centered
                    grid .
 
          POIS3D-S  Solve a three-dimensional block tridiagonal linear system
                    which arises from a finite difference approximation to a
                    three-dimensional Poisson equation using the Fourier
                    transform package FFTPAK written by Paul Swarztrauber.
 
          POISTG-S  Solve a block tridiagonal system of linear equations
                    that results from a staggered grid finite difference
                    approximation to 2-D elliptic PDE's.