d02 Chapter Introduction – a description of the Chapter and an overview of the algorithms available
| Function Name |
Mark of Introduction |
Purpose |
| d02cjc
Example Text |
2 | nag_ode_ivp_adams_gen Ordinary differential equation solver using a variable-order variable-step Adams' method (Black Box) |
| d02ejc
Example Text |
3 | nag_ode_ivp_bdf_gen Ordinary differential equations solver, stiff, initial value problems using the Backward Differentiation Formulae |
| d02gac
Example Text |
3 | nag_ode_bvp_fd_nonlin_fixedbc Ordinary differential equations solver, for simple nonlinear two-point boundary value problems, using a finite difference technique with deferred correction |
| d02gbc
Example Text |
3 | nag_ode_bvp_fd_lin_gen Ordinary differential equations solver, for general linear two-point boundary value problems, using a finite difference technique with deferred correction |
| d02mcc | 9 | nag_dae_ivp_dassl_cont DASSL method continuation resetting function |
| d02mwc
Example Text |
9 | nag_dae_ivp_dassl_setup Implicit ordinary differential equations/DAEs, initial value problem, setup for nag_dae_ivp_dassl_gen (d02nec) |
| d02nec
Example Text |
9 | nag_dae_ivp_dassl_gen Implicit ordinary differential equations/DAEs, initial value problem, DASSL method integrator |
| d02npc | 9 | nag_dae_ivp_dassl_linalg Implicit ordinary differential equations/DAEs, initial value problem linear algebra setup function for nag_dae_ivp_dassl_gen (d02nec) |
| d02pec
Example Text Example Data Example Plot |
24 | nag_ode_ivp_rkts_range Ordinary differential equations, initial value problem, Runge–Kutta method, integration over range with output |
| d02pfc
Example Text Example Data Example Plot |
24 | nag_ode_ivp_rkts_onestep Ordinary differential equations, initial value problem, Runge–Kutta method, integration over one step |
| d02pgc
Example Text Example Data Example Plot |
26 | nag_ode_ivp_rk_step_revcomm Ordinary differential equations, initial value problem, Runge–Kutta method, integration by reverse communication |
| d02phc | 26 | nag_ode_ivp_rk_interp_setup Set up interpolant by reverse communication for solution and derivative evaluations at points within the range of the last integration step taken by nag_ode_ivp_rk_step_revcomm (d02pgc) |
| d02pjc | 26 | nag_ode_ivp_rk_interp_eval Evaluate interpolant, set up using nag_ode_ivp_rkts_setup (d02pqc), to approximate solution and/or solution derivatives at a point within the range of the last integration step taken by nag_ode_ivp_rk_step_revcomm (d02pgc) |
| d02pqc | 24 | nag_ode_ivp_rkts_setup Ordinary differential equations, initial value problem, setup for nag_ode_ivp_rkts_range (d02pec) and nag_ode_ivp_rkts_onestep (d02pfc) |
| d02prc
Example Text Example Data Example Plot |
24 | nag_ode_ivp_rkts_reset_tend Ordinary differential equations, initial value problem, resets end of range for nag_ode_ivp_rkts_onestep (d02pfc) |
| d02psc
Example Text Example Data Example Plot |
24 | nag_ode_ivp_rkts_interp Ordinary differential equations, initial value problem, interpolation for nag_ode_ivp_rkts_onestep (d02pfc) |
| d02ptc | 24 | nag_ode_ivp_rkts_diag Ordinary differential equations, initial value problem, integration diagnostics for nag_ode_ivp_rkts_range (d02pec) and nag_ode_ivp_rkts_onestep (d02pfc) |
| d02puc
Example Text Example Data Example Plot |
24 | nag_ode_ivp_rkts_errass Ordinary differential equations, initial value problem, error assessment diagnostics for nag_ode_ivp_rkts_range (d02pec) and nag_ode_ivp_rkts_onestep (d02pfc) |
| d02qfc
Example Text |
2 | nag_ode_ivp_adams_roots Ordinary differential equation solver using Adams' method (sophisticated use) |
| d02qwc | 2 | nag_ode_ivp_adams_setup Setup function for nag_ode_ivp_adams_roots (d02qfc) |
| d02qyc | 2 | nag_ode_ivp_adams_free Freeing function for use with nag_ode_ivp_adams_roots (d02qfc) |
| d02qzc
Example Text |
2 | nag_ode_ivp_adams_interp Interpolation function for use with nag_ode_ivp_adams_roots (d02qfc) |
| d02rac
Example Text Example Plot |
3 | nag_ode_bvp_fd_nonlin_gen Ordinary differential equations solver, for general nonlinear two-point boundary value problems, using a finite difference technique with deferred correction |
| d02tlc
Example Text Example Data Example Plot |
24 | nag_ode_bvp_coll_nlin_solve Ordinary differential equations, general nonlinear boundary value problem, collocation technique |
| d02tvc
Example Text Example Data Example Plot |
24 | nag_ode_bvp_coll_nlin_setup Ordinary differential equations, general nonlinear boundary value problem, setup for nag_ode_bvp_coll_nlin_solve (d02tlc) |
| d02txc
Example Text Example Data Example Plot |
24 | nag_ode_bvp_coll_nlin_contin Ordinary differential equations, general nonlinear boundary value problem, continuation facility for nag_ode_bvp_coll_nlin_solve (d02tlc) |
| d02tyc
Example Text Example Data Example Plot |
24 | nag_ode_bvp_coll_nlin_interp Ordinary differential equations, general nonlinear boundary value problem, interpolation for nag_ode_bvp_coll_nlin_solve (d02tlc) |
| d02tzc
Example Text Example Data Example Plot |
24 | nag_ode_bvp_coll_nlin_diag Ordinary differential equations, general nonlinear boundary value problem, diagnostics for nag_ode_bvp_coll_nlin_solve (d02tlc) |
| d02uac | 23 | nag_ode_bvp_ps_lin_coeffs Coefficients of Chebyshev interpolating polynomial from function values on Chebyshev grid |
| d02ubc | 23 | nag_ode_bvp_ps_lin_cgl_vals Function or low-order-derivative values on Chebyshev grid from coefficients of Chebyshev interpolating polynomial |
| d02ucc | 23 | nag_ode_bvp_ps_lin_cgl_grid Chebyshev Gauss–Lobatto grid generation |
| d02udc
Example Text Example Data |
23 | nag_ode_bvp_ps_lin_cgl_deriv Differentiate a function by the FFT using function values on Chebyshev grid |
| d02uec
Example Text Example Data |
23 | nag_ode_bvp_ps_lin_solve Solve linear constant coefficient boundary value problem on Chebyshev grid, Integral formulation |
| d02uwc
Example Text Example Data |
23 | nag_ode_bvp_ps_lin_grid_vals Interpolate a function from Chebyshev grid to uniform grid using barycentric Lagrange interpolation |
| d02uyc
Example Text Example Data |
23 | nag_ode_bvp_ps_lin_quad_weights Clenshaw–Curtis quadrature weights for integration using computed Chebyshev coefficients |
| d02uzc
Example Text Example Data |
23 | nag_ode_bvp_ps_lin_cheb_eval Chebyshev polynomial evaluation, |