| D01AHF
| One-dimensional quadrature, adaptive, finite interval, strategy due to Patterson, suitable for well-behaved integrands |
| D01AJF
| One-dimensional quadrature, adaptive, finite interval, strategy due to Piessens and de Doncker, allowing for badly behaved integrands |
| D01AKF
| One-dimensional quadrature, adaptive, finite interval, method suitable for oscillating functions |
| D01ALF
| One-dimensional quadrature, adaptive, finite interval, allowing for singularities at user-specified break-points |
| D01ANF
| One-dimensional quadrature, adaptive, finite interval, weight function or |
| D01APF
| One-dimensional quadrature, adaptive, finite interval, weight function with end-point singularities of algebraico-logarithmic type |
| D01AQF
| One-dimensional quadrature, adaptive, finite interval, weight function , Cauchy principal value (Hilbert transform) |
| D01ARF
| One-dimensional quadrature, non-adaptive, finite interval with provision for indefinite integrals |
| D01ATF
| One-dimensional quadrature, adaptive, finite interval, variant of D01AJF efficient on vector machines |
| D01AUF
| One-dimensional quadrature, adaptive, finite interval, variant of D01AKF efficient on vector machines |
| D01BDF
| One-dimensional quadrature, non-adaptive, finite interval |
| D01DAF
| Two-dimensional quadrature, finite region |
| D01RAF
| One-dimensional quadrature, adaptive, finite interval, multiple integrands, vectorized abscissae, reverse communication |
| D01RGF
| One-dimensional quadrature, adaptive, finite interval, strategy due to Gonnet, allowing for badly behaved integrands |
| 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 |
| 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 |
| D02RAF
| Ordinary differential equations, general nonlinear boundary value problem, finite difference technique with deferred correction, continuation facility |
| 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 |
| D03NCF
| Finite difference solution of the Black–Scholes equations |
| D03PCF
| General system of parabolic PDEs, method of lines, finite differences, one space variable |
| D03PHF
| General system of parabolic PDEs, coupled DAEs, method of lines, finite differences, one space variable |
| D03PPF
| General system of parabolic PDEs, coupled DAEs, method of lines, finite differences, remeshing, one space variable |
| 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 |
| 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 |
| D06CBF
| Generates a sparsity pattern of a Finite Element matrix associated with a given mesh |