# 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