| Routine Name |
Mark of Introduction |
Purpose |
| D02AGF
Example Text Example Data Example Plot |
2 | nagf_ode_bvp_shoot_genpar_intern Ordinary differential equations, boundary value problem, shooting and matching technique, allowing interior matching point, general parameters to be determined |
| D02BGF
Example Text Example Data |
7 | nagf_ode_ivp_rkm_val_simple Ordinary differential equations, initial value problem, Runge–Kutta–Merson method, until a component attains given value (simple driver) |
| D02BHF
Example Text Example Data |
7 | nagf_ode_ivp_rkm_zero_simple Ordinary differential equations, initial value problem, Runge–Kutta–Merson method, until function of solution is zero (simple driver) |
| D02BJF
Example Text Example Data Example Plot |
18 | nagf_ode_ivp_rk_zero_simple Ordinary differential equations, initial value problem, Runge–Kutta method, until function of solution is zero, integration over range with intermediate output (simple driver) |
| D02CJF
Example Text Example Data Example Plot |
13 | nagf_ode_ivp_adams_zero_simple Ordinary differential equations, initial value problem, Adams' method, until function of solution is zero, intermediate output (simple driver) |
| D02EJF
Example Text Example Data Example Plot |
12 | nagf_ode_ivp_bdf_zero_simple Ordinary differential equations, stiff initial value problem, backward differentiation formulae method, until function of solution is zero, intermediate output (simple driver) |
| D02GAF
Example Text Example Data Example Plot |
8 | nagf_ode_bvp_fd_nonlin_fixedbc Ordinary differential equations, boundary value problem, finite difference technique with deferred correction, simple nonlinear problem |
| D02GBF
Example Text Example Data Example Plot |
8 | nagf_ode_bvp_fd_lin_gen Ordinary differential equations, boundary value problem, finite difference technique with deferred correction, general linear problem |
| D02HAF
Example Text Example Data Example Plot |
8 | nagf_ode_bvp_shoot_bval Ordinary differential equations, boundary value problem, shooting and matching, boundary values to be determined |
| D02HBF
Example Text Example Data Example Plot |
8 | nagf_ode_bvp_shoot_genpar Ordinary differential equations, boundary value problem, shooting and matching, general parameters to be determined |
| D02JAF
Example Text Example Data Example Plot |
8 | nagf_ode_bvp_coll_nth Ordinary differential equations, boundary value problem, collocation and least squares, single th-order linear equation |
| D02JBF
Example Text Example Data Example Plot |
8 | nagf_ode_bvp_coll_sys Ordinary differential equations, boundary value problem, collocation and least squares, system of first-order linear equations |
| D02KAF
Example Text Example Data |
7 | nagf_ode_sl2_reg_finite Second-order Sturm–Liouville problem, regular system, finite range, eigenvalue only |
| D02KDF
Example Text Example Data |
7 | nagf_ode_sl2_breaks_vals Second-order Sturm–Liouville problem, regular/singular system, finite/infinite range, eigenvalue only, user-specified break-points |
| D02KEF
Example Text Example Data Example Plot |
8 | nagf_ode_sl2_breaks_funs Second-order Sturm–Liouville problem, regular/singular system, finite/infinite range, eigenvalue and eigenfunction, user-specified break-points |
| D02LAF
Example Text Example Data Example Plot |
13 | nagf_ode_ivp_2nd_rkn Second-order ordinary differential equations, initial value problem, Runge–Kutta–Nystrom method |
| D02LXF | 13 | nagf_ode_ivp_2nd_rkn_setup Second-order ordinary differential equations, initial value problem, setup for D02LAF |
| D02LYF | 13 | nagf_ode_ivp_2nd_rkn_diag Second-order ordinary differential equations, initial value problem, diagnostics for D02LAF |
| D02LZF | 13 | nagf_ode_ivp_2nd_rkn_interp Second-order ordinary differential equations, initial value problem, interpolation for D02LAF |
| D02MCF | 22 | nagf_ode_dae_dassl_cont Implicit ordinary differential equations/DAEs, initial value problem, DASSL method continuation for D02NEF |
| D02MVF
Example Text Example Data Example Plot |
14 | nagf_ode_ivp_stiff_dassl Ordinary differential equations, initial value problem, DASSL method, setup for D02M–N routines |
| D02MWF
Example Text Example Data |
22 | nagf_ode_dae_dassl_setup Implicit ordinary differential equations/DAEs, initial value problem, setup for D02NEF |
| D02MZF
Example Text Example Data |
14 | nagf_ode_ivp_stiff_interp Ordinary differential equations, initial value problem, interpolation for D02M–N routines (all integration methods), natural interpolant |
| D02NBF
Example Text Example Data Example Plot |
12 | nagf_ode_ivp_stiff_exp_fulljac Explicit ordinary differential equations, stiff initial value problem, full Jacobian (comprehensive) |
| D02NCF
Example Text Example Data Example Plot |
12 | nagf_ode_ivp_stiff_exp_bandjac Explicit ordinary differential equations, stiff initial value problem, banded Jacobian (comprehensive) |
| D02NDF
Example Text Example Data Example Plot |
12 | nagf_ode_ivp_stiff_exp_sparjac Explicit ordinary differential equations, stiff initial value problem, sparse Jacobian (comprehensive) |
| D02NEF
Example Text Example Data |
22 | nagf_ode_dae_dassl_gen Implicit ordinary differential equations/DAEs, initial value problem, DASSL method integrator |
| D02NGF
Example Text Example Data Example Plot |
12 | nagf_ode_ivp_stiff_imp_fulljac Implicit/algebraic ordinary differential equations, stiff initial value problem, full Jacobian (comprehensive) |
| D02NHF
Example Text Example Data |
12 | nagf_ode_ivp_stiff_imp_bandjac Implicit/algebraic ordinary differential equations, stiff initial value problem, banded Jacobian (comprehensive) |
| D02NJF
Example Text Example Data Example Plot |
12 | nagf_ode_ivp_stiff_imp_sparjac Implicit/algebraic ordinary differential equations, stiff initial value problem, sparse Jacobian (comprehensive) |
| D02NMF
Example Text Example Data Example Plot |
12 | nagf_ode_ivp_stiff_exp_revcom Explicit ordinary differential equations, stiff initial value problem (reverse communication, comprehensive) |
| D02NNF
Example Text Example Data |
12 | nagf_ode_ivp_stiff_imp_revcom Implicit/algebraic ordinary differential equations, stiff initial value problem (reverse communication, comprehensive) |
| D02NPF | 22 | nagf_ode_dae_dassl_linalg Implicit ordinary differential equations/DAEs, initial value problem linear algebra setup routine for D02NEF |
| D02NRF | 12 | nagf_ode_ivp_stiff_sparjac_enq Ordinary differential equations, initial value problem, for use with D02M–N routines, sparse Jacobian, enquiry routine |
| D02NSF | 12 | nagf_ode_ivp_stiff_fulljac_setup Ordinary differential equations, initial value problem, for use with D02M–N routines, full Jacobian, linear algebra set up |
| D02NTF | 12 | nagf_ode_ivp_stiff_bandjac_setup Ordinary differential equations, initial value problem, for use with D02M–N routines, banded Jacobian, linear algebra set up |
| D02NUF | 12 | nagf_ode_ivp_stiff_sparjac_setup Ordinary differential equations, initial value problem, for use with D02M–N routines, sparse Jacobian, linear algebra set up |
| D02NVF | 12 | nagf_ode_ivp_stiff_bdf Ordinary differential equations, initial value problem, backward differentiation formulae method, setup for D02M–N routines |
| D02NWF | 12 | nagf_ode_ivp_stiff_blend Ordinary differential equations, initial value problem, Blend method, setup for D02M–N routines |
| D02NXF | 12 | nagf_ode_ivp_stiff_sparjac_diag Ordinary differential equations, initial value problem, sparse Jacobian, linear algebra diagnostics, for use with D02M–N routines |
| D02NYF | 12 | nagf_ode_ivp_stiff_integ_diag Ordinary differential equations, initial value problem, integrator diagnostics, for use with D02M–N routines |
| D02NZF | 12 | nagf_ode_ivp_stiff_contin Ordinary differential equations, initial value problem, setup for continuation calls to integrator, for use with D02M–N routines |
| D02PCF
Example Text Example Data Example Plot |
16 | nagf_ode_withdraw_ivp_rk_range Ordinary differential equations, initial value problem, Runge–Kutta method, integration over range with output Note: this routine is scheduled for withdrawal at Mark 26, see Advice on Replacement Calls for Withdrawn/Superseded Routines for further information. |
| D02PDF
Example Text Example Data Example Plot |
16 | nagf_ode_withdraw_ivp_rk_onestep Ordinary differential equations, initial value problem, Runge–Kutta method, integration over one step Note: this routine is scheduled for withdrawal at Mark 26, see Advice on Replacement Calls for Withdrawn/Superseded Routines for further information. |
| D02PEF
Example Text Example Data Example Plot |
24 | nagf_ode_ivp_rkts_range Ordinary differential equations, initial value problem, Runge–Kutta method, integration over range with output |
| D02PFF
Example Text Example Data Example Plot |
24 | nagf_ode_ivp_rkts_onestep Ordinary differential equations, initial value problem, Runge–Kutta method, integration over one step |
| D02PQF | 24 | nagf_ode_ivp_rkts_setup Ordinary differential equations, initial value problem, setup for D02PEF and D02PFF |
| D02PRF
Example Text Example Data Example Plot |
24 | nagf_ode_ivp_rkts_reset_tend Ordinary differential equations, initial value problem, resets end of range for D02PFF |
| D02PSF
Example Text Example Data Example Plot |
24 | nagf_ode_ivp_rkts_interp Ordinary differential equations, initial value problem, interpolation for D02PFF |
| D02PTF | 24 | nagf_ode_ivp_rkts_diag Ordinary differential equations, initial value problem, integration diagnostics for D02PEF and D02PFF |
| D02PUF
Example Text Example Data Example Plot |
24 | nagf_ode_ivp_rkts_errass Ordinary differential equations, initial value problem, error assessment diagnostics for D02PEF and D02PFF |
| D02PVF | 16 | nagf_ode_withdraw_ivp_rk_setup Ordinary differential equations, initial value problem, setup for D02PCF and D02PDF Note: this routine is scheduled for withdrawal at Mark 26, see Advice on Replacement Calls for Withdrawn/Superseded Routines for further information. |
| D02PWF
Example Text Example Data Example Plot |
16 | nagf_ode_withdraw_ivp_rk_reset_tend Ordinary differential equations, initial value problem, resets end of range for D02PDF Note: this routine is scheduled for withdrawal at Mark 26, see Advice on Replacement Calls for Withdrawn/Superseded Routines for further information. |
| D02PXF
Example Text Example Data Example Plot |
16 | nagf_ode_withdraw_ivp_rk_interp Ordinary differential equations, initial value problem, interpolation for D02PDF Note: this routine is scheduled for withdrawal at Mark 26, see Advice on Replacement Calls for Withdrawn/Superseded Routines for further information. |
| D02PYF | 16 | nagf_ode_withdraw_ivp_rk_diag Ordinary differential equations, initial value problem, integration diagnostics for D02PCF and D02PDF Note: this routine is scheduled for withdrawal at Mark 26, see Advice on Replacement Calls for Withdrawn/Superseded Routines for further information. |
| D02PZF
Example Text Example Data Example Plot |
16 | nagf_ode_withdraw_ivp_rk_errass Ordinary differential equations, initial value problem, error assessment diagnostics for D02PCF and D02PDF Note: this routine is scheduled for withdrawal at Mark 26, see Advice on Replacement Calls for Withdrawn/Superseded Routines for further information. |
| D02QFF
Example Text Example Data |
13 | nagf_ode_ivp_adams_roots Ordinary differential equations, initial value problem, Adams' method with root-finding (direct communication, comprehensive) |
| D02QGF
Example Text Example Data Example Plot |
13 | nagf_ode_ivp_adams_roots_revcom Ordinary differential equations, initial value problem, Adams' method with root-finding (reverse communication, comprehensive) |
| D02QWF | 13 | nagf_ode_ivp_adams_setup Ordinary differential equations, initial value problem, setup for D02QFF and D02QGF |
| D02QXF | 13 | nagf_ode_ivp_adams_diag Ordinary differential equations, initial value problem, diagnostics for D02QFF and D02QGF |
| D02QYF | 13 | nagf_ode_ivp_adams_rootdiag Ordinary differential equations, initial value problem, root-finding diagnostics for D02QFF and D02QGF |
| D02QZF
Example Text Example Data Example Plot |
13 | nagf_ode_ivp_adams_interp Ordinary differential equations, initial value problem, interpolation for D02QFF or D02QGF |
| D02RAF
Example Text Example Data Example Plot |
8 | nagf_ode_bvp_fd_nonlin_gen Ordinary differential equations, general nonlinear boundary value problem, finite difference technique with deferred correction, continuation facility |
| D02SAF
Example Text Example Data Example Plot |
8 | 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 |
| D02TGF
Example Text Example Data Example Plot |
8 | nagf_ode_bvp_coll_nth_comp th-order linear ordinary differential equations, boundary value problem, collocation and least squares |
| D02TKF
Example Text Example Data Example Plot |
17 | nagf_ode_withdraw_bvp_coll_nlin Ordinary differential equations, general nonlinear boundary value problem, collocation technique Note: this routine is scheduled for withdrawal at Mark 27, see Advice on Replacement Calls for Withdrawn/Superseded Routines for further information. |
| D02TLF
Example Text Example Data Example Plot |
25 | nagf_ode_bvp_coll_nlin_solve Ordinary differential equations, general nonlinear boundary value problem, collocation technique (thread safe) |
| D02TVF
Example Text Example Data Example Plot |
17 | nagf_ode_bvp_coll_nlin_setup Ordinary differential equations, general nonlinear boundary value problem, setup for D02TLF |
| D02TXF
Example Text Example Data Example Plot |
17 | nagf_ode_bvp_coll_nlin_contin Ordinary differential equations, general nonlinear boundary value problem, continuation facility for D02TLF |
| D02TYF
Example Text Example Data Example Plot |
17 | nagf_ode_bvp_coll_nlin_interp Ordinary differential equations, general nonlinear boundary value problem, interpolation for D02TLF |
| D02TZF
Example Text Example Data Example Plot |
17 | nagf_ode_bvp_coll_nlin_diag Ordinary differential equations, general nonlinear boundary value problem, diagnostics for D02TLF |
| D02UAF | 23 | nagf_ode_bvp_ps_lin_coeffs Coefficients of Chebyshev interpolating polynomial from function values on Chebyshev grid |
| D02UBF | 23 | nagf_ode_bvp_ps_lin_cgl_vals Function or low-order-derivative values on Chebyshev grid from coefficients of Chebyshev interpolating polynomial |
| D02UCF | 23 | nagf_ode_bvp_ps_lin_cgl_grid Chebyshev Gauss–Lobatto grid generation |
| D02UDF
Example Text Example Data |
23 | nagf_ode_bvp_ps_lin_cgl_deriv Differentiate a function by the FFT using function values on Chebyshev grid |
| D02UEF
Example Text Example Data |
23 | nagf_ode_bvp_ps_lin_solve Solve linear constant coefficient boundary value problem on Chebyshev grid, Integral formulation |
| D02UWF
Example Text Example Data |
23 | nagf_ode_bvp_ps_lin_grid_vals Interpolate a function from Chebyshev grid to uniform grid using barycentric Lagrange interpolation |
| D02UYF
Example Text Example Data |
23 | nagf_ode_bvp_ps_lin_quad_weights Clenshaw–Curtis quadrature weights for integration using computed Chebyshev coefficients |
| D02UZF
Example Text Example Data |
23 | nagf_ode_bvp_ps_lin_cheb_eval Chebyshev polynomial evaluation, |
| D02XJF | 12 | nagf_ode_ivp_stiff_nat_interp Ordinary differential equations, initial value problem, interpolation for D02M–N routines (BLEND and BDF methods only), natural interpolant |
| D02XKF | 12 | nagf_ode_ivp_stiff_c1_interp Ordinary differential equations, initial value problem, interpolation for D02M–N routines, interpolant |
| D02ZAF
Example Text Example Data |
12 | nagf_ode_ivp_stiff_errest Ordinary differential equations, initial value problem, weighted norm of local error estimate for D02M–N routines |