| Routine Name | Description |
| D02GAF | nagf_ode_bvp_fd_nonlin_fixedbc Ordinary differential equations, boundary value problem, finite difference technique with deferred correction, simple nonlinear problem |
| D02GBF | nagf_ode_bvp_fd_lin_gen Ordinary differential equations, boundary value problem, finite difference technique with deferred correction, general linear problem |
| D02HAF | nagf_ode_bvp_shoot_bval Ordinary differential equations, boundary value problem, shooting and matching, boundary values to be determined |
| D02HBF | nagf_ode_bvp_shoot_genpar Ordinary differential equations, boundary value problem, shooting and matching, general parameters to be determined |
| D02JAF | nagf_ode_bvp_coll_nth Ordinary differential equations, boundary value problem, collocation and least squares, single nth-order linear equation |
| D02JBF | nagf_ode_bvp_coll_sys Ordinary differential equations, boundary value problem, collocation and least squares, system of first-order linear equations |
| D02LAF | nagf_ode_ivp_2nd_rkn Second-order ordinary differential equations, initial value problem, Runge–Kutta–Nystrom method |
| D02LXF | nagf_ode_ivp_2nd_rkn_setup Second-order ordinary differential equations, initial value problem, setup for |
| D02LYF | nagf_ode_ivp_2nd_rkn_diag Second-order ordinary differential equations, initial value problem, diagnostics for |
| D02LZF | nagf_ode_ivp_2nd_rkn_interp Second-order ordinary differential equations, initial value problem, interpolation for |
| D02MZF | nagf_ode_ivp_stiff_interp Ordinary differential equations, initial value problem, interpolation for d02m–n routines (all integration methods), natural interpolant |
| D02NBF | nagf_ode_ivp_stiff_exp_fulljac Explicit ordinary differential equations, stiff initial value problem, full Jacobian (comprehensive) |
| D02NCF | nagf_ode_ivp_stiff_exp_bandjac Explicit ordinary differential equations, stiff initial value problem, banded Jacobian (comprehensive) |
| D02NDF | nagf_ode_ivp_stiff_exp_sparjac Explicit ordinary differential equations, stiff initial value problem, sparse Jacobian (comprehensive) |
| D02NGF | nagf_ode_ivp_stiff_imp_fulljac Implicit/algebraic ordinary differential equations, stiff initial value problem, full Jacobian (comprehensive) |
| D02NHF | nagf_ode_ivp_stiff_imp_bandjac Implicit/algebraic ordinary differential equations, stiff initial value problem, banded Jacobian (comprehensive) |
| D02NJF | nagf_ode_ivp_stiff_imp_sparjac Implicit/algebraic ordinary differential equations, stiff initial value problem, sparse Jacobian (comprehensive) |
| D02NMF | nagf_ode_ivp_stiff_exp_revcom Explicit ordinary differential equations, stiff initial value problem (reverse communication, comprehensive) |
| D02NNF | nagf_ode_ivp_stiff_imp_revcom Implicit/algebraic ordinary differential equations, stiff initial value problem (reverse communication, comprehensive) |
| D02NSF | nagf_ode_ivp_stiff_fulljac_setup Ordinary differential equations, initial value problem, for use with d02m–n s, full Jacobian, linear algebra set up |
| D02NTF | nagf_ode_ivp_stiff_bandjac_setup Ordinary differential equations, initial value problem, for use with d02m–n s, banded Jacobian, linear algebra set up |
| D02NUF | nagf_ode_ivp_stiff_sparjac_setup Ordinary differential equations, initial value problem, for use with d02m–n s, sparse Jacobian, linear algebra set up |
| D02QFF | nagf_ode_ivp_adams_roots Ordinary differential equations, initial value problem, Adams' method with root-finding (direct communication, comprehensive) |
| D02QGF | nagf_ode_ivp_adams_roots_revcom Ordinary differential equations, initial value problem, Adams' method with root-finding (reverse communication, comprehensive) |
| D02QWF | nagf_ode_ivp_adams_setup Ordinary differential equations, initial value problem, setup for and |
| D02QXF | nagf_ode_ivp_adams_diag Ordinary differential equations, initial value problem, diagnostics for and |
| D02QYF | nagf_ode_ivp_adams_rootdiag Ordinary differential equations, initial value problem, root-finding diagnostics for and |
| D02QZF | nagf_ode_ivp_adams_interp Ordinary differential equations, initial value problem, interpolation for or |
| D02RAF | nagf_ode_bvp_fd_nonlin_gen Ordinary differential equations, general nonlinear boundary value problem, finite difference technique with deferred correction, continuation facility |
| D02SAF | nagf_ode_bvp_shoot_genpar_algeq Ordinary differential equations, boundary value problem, shooting and matching technique, subject to extra algebraic equations, general parameters to be determined |
| D02XKF | nagf_ode_ivp_stiff_c1_interp Ordinary differential equations, initial value problem, interpolation for d02m–n s, C1 interpolant |
| D02ZAF | nagf_ode_ivp_stiff_errest Ordinary differential equations, initial value problem, weighted norm of local error estimate for d02m–n s |
| D03PEF | nagf_pde_1d_parab_keller General system of first-order PDEs, method of lines, Keller box discretization, one space variable |
| D03PFF | nagf_pde_1d_parab_convdiff 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 |
| D03PKF | nagf_pde_1d_parab_dae_keller General system of first-order PDEs, coupled DAEs, method of lines, Keller box discretization, one space variable |
| D03PLF | nagf_pde_1d_parab_convdiff_dae 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 |
| D03PRF | nagf_pde_1d_parab_remesh_keller General system of first-order PDEs, coupled DAEs, method of lines, Keller box discretization, remeshing, one space variable |
| D03PSF | nagf_pde_1d_parab_convdiff_remesh General system of convection-diffusion PDEs, coupled DAEs, method of lines, upwind scheme, remeshing, one space variable |
| D03PUF | nagf_pde_1d_parab_euler_roe Roe's approximate Riemann solver for Euler equations in conservative form, for use with , and |
| D03PVF | nagf_pde_1d_parab_euler_osher Osher's approximate Riemann solver for Euler equations in conservative form, for use with , and |
| D03PWF | nagf_pde_1d_parab_euler_hll Modified HLL Riemann solver for Euler equations in conservative form, for use with , and |
| D03PXF | nagf_pde_1d_parab_euler_exact Exact Riemann solver for Euler equations in conservative form, for use with , and |
| D03RAF | nagf_pde_2d_gen_order2_rectangle General system of second-order PDEs, method of lines, finite differences, remeshing, two space variables, rectangular region |
| D03RBF | nagf_pde_2d_gen_order2_rectilinear General system of second-order PDEs, method of lines, finite differences, remeshing, two space variables, rectilinear region |
| E01SBF | nagf_interp_2d_scat_eval Interpolated values, evaluate interpolant computed by , two variables |
| G08EAF | nagf_nonpar_randtest_runs Performs the runs up or runs down test for randomness |
| G08EBF | nagf_nonpar_randtest_pairs Performs the pairs (serial) test for randomness |
| G08ECF | nagf_nonpar_randtest_triplets Performs the triplets test for randomness |
| G08EDF | nagf_nonpar_randtest_gaps Performs the gaps test for randomness |
| H02BBF | nagf_mip_ilp_dense Integer LP problem (dense) |
| H02BFF | nagf_mip_ilp_mpsx Interpret MPSX data file defining IP or LP problem, optimize and print solution |
| H02BVF | nagf_mip_ilp_print Print IP or LP solutions with user-specified names for rows and columns |
| H02CBF | nagf_mip_iqp_dense Integer QP problem (dense) |
| H02CCF | nagf_mip_iqp_dense_optfile Read values for from external file |
| H02CDF | nagf_mip_iqp_dense_optstr Supply values to |
| H02CEF | nagf_mip_iqp_sparse Integer LP or QP problem (sparse), using |
| H02CFF | nagf_mip_iqp_sparse_optfile Read values for from external file |
| H02CGF | nagf_mip_iqp_sparse_optstr Supply values to |
| X04AAF | nagf_file_set_unit_error Return or set unit number for error messages |
| X04ABF | nagf_file_set_unit_advisory Return or set unit number for advisory messages |