| D02AGF
| Ordinary differential equations, boundary value problem, shooting and matching technique, allowing interior matching point, general parameters to be determined |
| D02BGF
| Ordinary differential equations, initial value problem, Runge–Kutta–Merson method, until a component attains given value (simple driver) |
| D02BHF
| Ordinary differential equations, initial value problem, Runge–Kutta–Merson method, until function of solution is zero (simple driver) |
| D02BJF
| Ordinary differential equations, initial value problem, Runge–Kutta method, until function of solution is zero, integration over range with intermediate output (simple driver) |
| D02CJF
| Ordinary differential equations, initial value problem, Adams' method, until function of solution is zero, intermediate output (simple driver) |
| D02EJF
| Ordinary differential equations, stiff initial value problem, backward differentiation formulae method, until function of solution is zero, intermediate output (simple driver) |
| D02GAF
| Ordinary differential equations, boundary value problem, finite difference technique with deferred correction, simple nonlinear problem |
| D02GBF
| Ordinary differential equations, boundary value problem, finite difference technique with deferred correction, general linear problem |
| D02HAF
| Ordinary differential equations, boundary value problem, shooting and matching, boundary values to be determined |
| D02HBF
| Ordinary differential equations, boundary value problem, shooting and matching, general parameters to be determined |
| D02JAF
| Ordinary differential equations, boundary value problem, collocation and least squares, single th-order linear equation |
| D02JBF
| Ordinary differential equations, boundary value problem, collocation and least squares, system of first-order linear equations |
| D02KAF
| Second-order Sturm–Liouville problem, regular system, finite range, eigenvalue only |
| D02KDF
| Second-order Sturm–Liouville problem, regular/singular system, finite/infinite range, eigenvalue only, user-specified break-points |
| D02KEF
| Second-order Sturm–Liouville problem, regular/singular system, finite/infinite range, eigenvalue and eigenfunction, user-specified break-points |
| D02LAF
| Second-order ordinary differential equations, initial value problem, Runge–Kutta–Nystrom method |
| D02LXF
| Second-order ordinary differential equations, initial value problem, setup for D02LAF |
| D02LYF
| Second-order ordinary differential equations, initial value problem, diagnostics for D02LAF |
| D02LZF
| Second-order ordinary differential equations, initial value problem, interpolation for D02LAF |
| D02MCF
| Implicit ordinary differential equations/DAEs, initial value problem, DASSL method continuation for D02NEF |
| D02MVF
| Ordinary differential equations, initial value problem, DASSL method, setup for D02M–N routines |
| D02MWF
| Implicit ordinary differential equations/DAEs, initial value problem, setup for D02NEF |
| D02MZF
| Ordinary differential equations, initial value problem, interpolation for D02M–N routines (all integration methods), natural interpolant |
| D02NBF
| Explicit ordinary differential equations, stiff initial value problem, full Jacobian (comprehensive) |
| D02NCF
| Explicit ordinary differential equations, stiff initial value problem, banded Jacobian (comprehensive) |
| D02NDF
| Explicit ordinary differential equations, stiff initial value problem, sparse Jacobian (comprehensive) |
| D02NEF
| Implicit ordinary differential equations/DAEs, initial value problem, DASSL method integrator |
| D02NGF
| Implicit/algebraic ordinary differential equations, stiff initial value problem, full Jacobian (comprehensive) |
| D02NHF
| Implicit/algebraic ordinary differential equations, stiff initial value problem, banded Jacobian (comprehensive) |
| D02NJF
| Implicit/algebraic ordinary differential equations, stiff initial value problem, sparse Jacobian (comprehensive) |
| D02NMF
| Explicit ordinary differential equations, stiff initial value problem (reverse communication, comprehensive) |
| D02NNF
| Implicit/algebraic ordinary differential equations, stiff initial value problem (reverse communication, comprehensive) |
| D02NPF
| Implicit ordinary differential equations/DAEs, initial value problem linear algebra setup routine for D02NEF |
| D02NRF
| Ordinary differential equations, initial value problem, for use with D02M–N routines, sparse Jacobian, enquiry routine |
| D02NSF
| Ordinary differential equations, initial value problem, for use with D02M–N routines, full Jacobian, linear algebra set up |
| D02NTF
| Ordinary differential equations, initial value problem, for use with D02M–N routines, banded Jacobian, linear algebra set up |
| D02NUF
| Ordinary differential equations, initial value problem, for use with D02M–N routines, sparse Jacobian, linear algebra set up |
| D02NVF
| Ordinary differential equations, initial value problem, backward differentiation formulae method, setup for D02M–N routines |
| D02NWF
| Ordinary differential equations, initial value problem, Blend method, setup for D02M–N routines |
| D02NXF
| Ordinary differential equations, initial value problem, sparse Jacobian, linear algebra diagnostics, for use with D02M–N routines |
| D02NYF
| Ordinary differential equations, initial value problem, integrator diagnostics, for use with D02M–N routines |
| D02NZF
| Ordinary differential equations, initial value problem, setup for continuation calls to integrator, for use with D02M–N routines |
| D02PEF
| Ordinary differential equations, initial value problem, Runge–Kutta method, integration over range with output |
| D02PFF
| Ordinary differential equations, initial value problem, Runge–Kutta method, integration over one step |
| D02PQF
| Ordinary differential equations, initial value problem, setup for D02PEF and D02PFF |
| D02PRF
| Ordinary differential equations, initial value problem, resets end of range for D02PFF |
| D02PSF
| Ordinary differential equations, initial value problem, interpolation for D02PFF |
| D02PTF
| Ordinary differential equations, initial value problem, integration diagnostics for D02PEF and D02PFF |
| D02PUF
| Ordinary differential equations, initial value problem, error assessment diagnostics for D02PEF and D02PFF |
| D02QFF
| Ordinary differential equations, initial value problem, Adams' method with root-finding (direct communication, comprehensive) |
| D02QGF
| Ordinary differential equations, initial value problem, Adams' method with root-finding (reverse communication, comprehensive) |
| D02QWF
| Ordinary differential equations, initial value problem, setup for D02QFF and D02QGF |
| D02QXF
| Ordinary differential equations, initial value problem, diagnostics for D02QFF and D02QGF |
| D02QYF
| Ordinary differential equations, initial value problem, root-finding diagnostics for D02QFF and D02QGF |
| D02QZF
| Ordinary differential equations, initial value problem, interpolation for D02QFF or D02QGF |
| D02RAF
| Ordinary differential equations, general nonlinear boundary value problem, finite difference technique with deferred correction, continuation facility |
| D02SAF
| Ordinary differential equations, boundary value problem, shooting and matching technique, subject to extra algebraic equations, general parameters to be determined |
| D02TGF
| th-order linear ordinary differential equations, boundary value problem, collocation and least squares |
| D02TKF
| Ordinary differential equations, general nonlinear boundary value problem, collocation technique |
| D02TVF
| Ordinary differential equations, general nonlinear boundary value problem, setup for D02TKF |
| D02TXF
| Ordinary differential equations, general nonlinear boundary value problem, continuation facility for D02TKF |
| D02TYF
| Ordinary differential equations, general nonlinear boundary value problem, interpolation for D02TKF |
| D02TZF
| Ordinary differential equations, general nonlinear boundary value problem, diagnostics for D02TKF |
| D02UAF
| Coefficients of Chebyshev interpolating polynomial from function values on Chebyshev grid |
| D02UBF
| Function or low-order-derivative values on Chebyshev grid from coefficients of Chebyshev interpolating polynomial |
| D02UCF
| Chebyshev Gauss–Lobatto grid generation |
| D02UDF
| Differentiate a function by the FFT using function values on Chebyshev grid |
| D02UEF
| Solve linear constant coefficient boundary value problem on Chebyshev grid, Integral formulation |
| D02UWF
| Interpolate a function from Chebyshev grid to uniform grid using barycentric Lagrange interpolation |
| D02UYF
| Clenshaw–Curtis quadrature weights for integration using computed Chebyshev coefficients |
| D02UZF
| Chebyshev polynomial evaluation, |
| D02XJF
| Ordinary differential equations, initial value problem, interpolation for D02M–N routines (BLEND and BDF methods only), natural interpolant |
| D02XKF
| Ordinary differential equations, initial value problem, interpolation for D02M–N routines, interpolant |
| D02ZAF
| Ordinary differential equations, initial value problem, weighted norm of local error estimate for D02M–N routines |
| D03EAF
| Elliptic PDE, Laplace's equation, two-dimensional arbitrary domain |
| D03EBF
| Elliptic PDE, solution of finite difference equations by SIP, five-point two-dimensional molecule, iterate to convergence |
| D03ECF
| Elliptic PDE, solution of finite difference equations by SIP for seven-point three-dimensional molecule, iterate to convergence |
| D03EDF
| Elliptic PDE, solution of finite difference equations by a multigrid technique |
| D03EEF
| Discretize a second-order elliptic PDE on a rectangle |
| D03FAF
| Elliptic PDE, Helmholtz equation, three-dimensional Cartesian coordinates |
| D03MAF
| Triangulation of plane region |
| D03NCF
| Finite difference solution of the Black–Scholes equations |
| D03NEF
| Compute average values for D03NDF |
| D03PCF
| General system of parabolic PDEs, method of lines, finite differences, one space variable |
| D03PDF
| General system of parabolic PDEs, method of lines, Chebyshev collocation, one space variable |
| D03PEF
| General system of first-order PDEs, method of lines, Keller box discretization, one space variable |
| D03PFF
| General system of convection-diffusion PDEs with source terms in conservative form, method of lines, upwind scheme using numerical flux function based on Riemann solver, one space variable |
| D03PHF
| General system of parabolic PDEs, coupled DAEs, method of lines, finite differences, one space variable |
| D03PJF
| General system of parabolic PDEs, coupled DAEs, method of lines, Chebyshev collocation, one space variable |
| D03PKF
| General system of first-order PDEs, coupled DAEs, method of lines, Keller box discretization, one space variable |
| D03PLF
| General system of convection-diffusion PDEs with source terms in conservative form, coupled DAEs, method of lines, upwind scheme using numerical flux function based on Riemann solver, one space variable |
| D03PPF
| General system of parabolic PDEs, coupled DAEs, method of lines, finite differences, remeshing, one space variable |
| D03PRF
| General system of first-order PDEs, coupled DAEs, method of lines, Keller box discretization, remeshing, one space variable |
| D03PSF
| General system of convection-diffusion PDEs, coupled DAEs, method of lines, upwind scheme, remeshing, one space variable |
| D03PUF
| Roe's approximate Riemann solver for Euler equations in conservative form, for use with D03PFF, D03PLF and D03PSF |
| D03PVF
| Osher's approximate Riemann solver for Euler equations in conservative form, for use with D03PFF, D03PLF and D03PSF |
| D03PWF
| Modified HLL Riemann solver for Euler equations in conservative form, for use with D03PFF, D03PLF and D03PSF |
| D03PXF
| Exact Riemann solver for Euler equations in conservative form, for use with D03PFF, D03PLF and D03PSF |
| D03PYF
| PDEs, spatial interpolation with D03PDF or D03PJF |
| D03PZF
| PDEs, spatial interpolation with D03PCF, D03PEF, D03PFF, D03PHF, D03PKF, D03PLF, D03PPF, D03PRF or D03PSF |
| D03RAF
| General system of second-order PDEs, method of lines, finite differences, remeshing, two space variables, rectangular region |
| D03RBF
| General system of second-order PDEs, method of lines, finite differences, remeshing, two space variables, rectilinear region |
| D03RYF
| Check initial grid data in D03RBF |
| D03RZF
| Extract grid data from D03RBF |
| D03UAF
| Elliptic PDE, solution of finite difference equations by SIP, five-point two-dimensional molecule, one iteration |
| D03UBF
| Elliptic PDE, solution of finite difference equations by SIP, seven-point three-dimensional molecule, one iteration |