| 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 nth-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 | nth-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, Tk(x) |
| 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, C1 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 C0 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 C0 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 |