NAG Fortran Library

D02 - Ordinary Differential Equations

Chapter Introduction
D02AGF ODEs, boundary value problem, shooting and matching technique, allowing interior matching point, general parameters to be determined
D02BGF ODEs, IVP, Runge--Kutta--Merson method, until a component attains given value (simple driver)
D02BHF ODEs, IVP, Runge--Kutta--Merson method, until function of solution is zero (simple driver)
D02BJF ODEs, IVP, Runge--Kutta method, until function of solution is zero, integration over range with intermediate output (simple driver)
D02CJF ODEs, IVP, Adams method, until function of solution is zero, intermediate output (simple driver)
D02EJF ODEs, stiff IVP, BDF method, until function of solution is zero, intermediate output (simple driver)
D02GAF ODEs, boundary value problem, finite difference technique with deferred correction, simple nonlinear problem
D02GBF ODEs, boundary value problem, finite difference technique with deferred correction, general linear problem
D02HAF ODEs, boundary value problem, shooting and matching, boundary values to be determined
D02HBF ODEs, boundary value problem, shooting and matching, general parameters to be determined
D02JAF ODEs, boundary value problem, collocation and least-squares, single nth-order linear equation
D02JBF ODEs, 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 ODEs, IVP, Runge--Kutta--Nystrom method
D02LXF Second-order ODEs, IVP, set-up for D02LAF
D02LYF Second-order ODEs, IVP, diagnostics for D02LAF
D02LZF Second-order ODEs, IVP, interpolation for D02LAF
Introduction - D02M/N
D02MVF ODEs, IVP, DASSL method, set-up for D02M--N routines
D02MZF ODEs, IVP, interpolation for D02M--N routines, natural interpolant
D02NBF Explicit ODEs, stiff IVP, full Jacobian (comprehensive)
D02NCF Explicit ODEs, stiff IVP, banded Jacobian (comprehensive)
D02NDF Explicit ODEs, stiff IVP, sparse Jacobian (comprehensive)
D02NGF Implicit/algebraic ODEs, stiff IVP, full Jacobian (comprehensive)
D02NHF Implicit/algebraic ODEs, stiff IVP, banded Jacobian (comprehensive)
D02NJF Implicit/algebraic ODEs, stiff IVP, sparse Jacobian (comprehensive)
D02NMF Explicit ODEs, stiff IVP (reverse communication, comprehensive)
D02NNF Implicit/algebraic ODEs, stiff IVP (reverse communication, comprehensive)
D02NRF ODEs, IVP, for use with D02M--N routines, sparse Jacobian, enquiry routine
D02NSF ODEs, IVP, for use with D02M--N routines, full Jacobian, linear algebra set-up
D02NTF ODEs, IVP, for use with D02M--N routines, banded Jacobian, linear algebra set-up
D02NUF ODEs, IVP, for use with D02M--N routines, sparse Jacobian, linear algebra set-up
D02NVF ODEs, IVP, BDF method, set-up for D02M--N routines
D02NWF ODEs, IVP, Blend method, set-up for D02M--N routines
D02NXF ODEs, IVP, sparse Jacobian, linear algebra diagnostics, for use with D02M--N routines
D02NYF ODEs, IVP, integrator diagnostics, for use with D02M--N routines
D02NZF ODEs, IVP, set-up for continuation calls to integrator, for use with D02M--N routines
D02PCF ODEs, IVP, Runge--Kutta method, integration over range with output
D02PDF ODEs, IVP, Runge--Kutta method, integration over one step
D02PVF ODEs, IVP, set-up for D02PCF and D02PDF
D02PWF ODEs, IVP, resets end of range for D02PDF
D02PXF ODEs, IVP, interpolation for D02PDF
D02PYF ODEs, IVP, integration diagnostics for D02PCF and D02PDF
D02PZF ODEs, IVP, error assessment diagnostics for D02PCF and D02PDF
D02QFF ODEs, IVP, Adams method with root-finding (forward communication, comprehensive)
D02QGF ODEs, IVP, Adams method with root-finding (reverse communication, comprehensive)
D02QWF ODEs, IVP, set-up for D02QFF and D02QGF
D02QXF ODEs, IVP, diagnostics for D02QFF and D02QGF
D02QYF ODEs, IVP, root-finding diagnostics for D02QFF and D02QGF
D02QZF ODEs, IVP, interpolation for D02QFF or D02QGF
D02RAF ODEs, general nonlinear boundary value problem, finite difference technique with deferred correction, continuation facility
D02SAF ODEs, boundary value problem, shooting and matching technique, subject to extra algebraic equations, general parameters to be determined
D02TGF nth-order linear ODEs, boundary value problem, collocation and least-squares
D02TKF ODEs, general nonlinear boundary value problem, collocation technique
D02TVF ODEs, general nonlinear boundary value problem, set-up for D02TKF
D02TXF ODEs, general nonlinear boundary value problem, continuation facility for D02TKF
D02TYF ODEs, general nonlinear boundary value problem, interpolation for D02TKF
D02TZF ODEs, general nonlinear boundary value problem, diagnostics for D02TKF
D02XJF ODEs, IVP, interpolation for D02M--N routines, natural interpolant
D02XKF ODEs, IVP, interpolation for D02M--N routines, C1 interpolant
D02ZAF ODEs, IVP, weighted norm of local error estimate for D02M--N routines


© The Numerical Algorithms Group Ltd, Oxford UK. 1999