D02 Chapter Contents (PDF version)
D02 Chapter Introduction
NAG Library Manual

# NAG Library Chapter ContentsD02 – Ordinary Differential Equations

### D02 Chapter IntroductionD02M–N Sub-chapter Introduction

 RoutineName Mark ofIntroduction Purpose D02AGF Example TextExample Plot 2 Ordinary differential equations, boundary value problem, shooting and matching technique, allowing interior matching point, general parameters to be determined D02BGF Example Text 7 Ordinary differential equations, initial value problem, Runge–Kutta–Merson method, until a component attains given value (simple driver) D02BHF Example Text 7 Ordinary differential equations, initial value problem, Runge–Kutta–Merson method, until function of solution is zero (simple driver) D02BJF Example TextExample Plot 18 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 TextExample Plot 13 Ordinary differential equations, initial value problem, Adams method, until function of solution is zero, intermediate output (simple driver) D02EJF Example TextExample Plot 12 Ordinary differential equations, stiff initial value problem, backward diffential formulae method, until function of solution is zero, intermediate output (simple driver) D02GAF Example TextExample Plot 8 Ordinary differential equations, boundary value problem, finite difference technique with deferred correction, simple nonlinear problem D02GBF Example TextExample Plot 8 Ordinary differential equations, boundary value problem, finite difference technique with deferred correction, general linear problem D02HAF Example TextExample Plot 8 Ordinary differential equations, boundary value problem, shooting and matching, boundary values to be determined D02HBF Example TextExample Plot 8 Ordinary differential equations, boundary value problem, shooting and matching, general parameters to be determined D02JAF Example TextExample Plot 8 Ordinary differential equations, boundary value problem, collocation and least-squares, single nth-order linear equation D02JBF Example TextExample Plot 8 Ordinary differential equations, boundary value problem, collocation and least-squares, system of first-order linear equations D02KAF Example Text 7 Second-order Sturm–Liouville problem, regular system, finite range, eigenvalue only D02KDF Example Text 7 Second-order Sturm–Liouville problem, regular/singular system, finite/infinite range, eigenvalue only, user-specified break-points D02KEF Example TextExample Plot 8 Second-order Sturm–Liouville problem, regular/singular system, finite/infinite range, eigenvalue and eigenfunction, user-specified break-points D02LAF Example TextExample Plot 13 Second-order ordinary differential equations, initial value problem, Runge–Kutta–Nystrom method D02LXF 13 Second-order ordinary differential equations, initial value problem, setup for D02LAF D02LYF 13 Second-order ordinary differential equations, initial value problem, diagnostics for D02LAF D02LZF 13 Second-order ordinary differential equations, initial value problem, interpolation for D02LAF D02MCF 22 Implicit ordinary differential equations/DAEs, initial value problem, DASSL method continuation for D02NEF D02MVF Example TextExample Plot 14 Ordinary differential equations, initial value problem, DASSL method, setup for D02M–N routines D02MWF Example Text 22 Implicit ordinary differential equations/DAEs, initial value problem, setup for D02NEF D02MZF Example Text 14 Ordinary differential equations, initial value problem, interpolation for D02M–N routines, natural interpolant D02NBF Example TextExample Plot 12 Explicit ordinary differential equations, stiff initial value problem, full Jacobian (comprehensive) D02NCF Example TextExample Plot 12 Explicit ordinary differential equations, stiff initial value problem, banded Jacobian (comprehensive) D02NDF Example TextExample Plot 12 Explicit ordinary differential equations, stiff initial value problem, sparse Jacobian (comprehensive) D02NEF Example Text 22 Implicit ordinary differential equations/DAEs, initial value problem, DASSL method integrator D02NGF Example TextExample Plot 12 Implicit/algebraic ordinary differential equations, stiff initial value problem, full Jacobian (comprehensive) D02NHF Example Text 12 Implicit/algebraic ordinary differential equations, stiff initial value problem, banded Jacobian (comprehensive) D02NJF Example TextExample Plot 12 Implicit/algebraic ordinary differential equations, stiff initial value problem, sparse Jacobian (comprehensive) D02NMF Example TextExample Plot 12 Explicit ordinary differential equations, stiff initial value problem (reverse communication, comprehensive) D02NNF Example Text 12 Implicit/algebraic ordinary differential equations, stiff initial value problem (reverse communication, comprehensive) D02NPF 22 Implicit ordinary differential equations/DAEs, initial value problem linear algebra setup routine for D02NEF D02NRF 12 Ordinary differential equations, initial value problem, for use with D02M–N routines, sparse Jacobian, enquiry routine D02NSF 12 Ordinary differential equations, initial value problem, for use with D02M–N routines, full Jacobian, linear algebra set up D02NTF 12 Ordinary differential equations, initial value problem, for use with D02M–N routines, banded Jacobian, linear algebra set up D02NUF 12 Ordinary differential equations, initial value problem, for use with D02M–N routines, sparse Jacobian, linear algebra set up D02NVF 12 Ordinary differential equations, initial value problem, backward diffential formulae method, setup for D02M–N routines D02NWF 12 Ordinary differential equations, initial value problem, Blend method, setup for D02M–N routines D02NXF 12 Ordinary differential equations, initial value problem, sparse Jacobian, linear algebra diagnostics, for use with D02M–N routines D02NYF 12 Ordinary differential equations, initial value problem, integrator diagnostics, for use with D02M–N routines D02NZF 12 Ordinary differential equations, initial value problem, setup for continuation calls to integrator, for use with D02M–N routines D02PCF Example TextExample Plot 16 Ordinary differential equations, initial value problem, Runge–Kutta method, integration over range with output D02PDF Example TextExample Plot 16 Ordinary differential equations, initial value problem, Runge–Kutta method, integration over one step D02PVF 16 Ordinary differential equations, initial value problem, setup for D02PCF and D02PDF D02PWF Example TextExample Plot 16 Ordinary differential equations, initial value problem, resets end of range for D02PDF D02PXF Example TextExample Plot 16 Ordinary differential equations, initial value problem, interpolation for D02PDF D02PYF 16 Ordinary differential equations, initial value problem, integration diagnostics for D02PCF and D02PDF D02PZF Example TextExample Plot 16 Ordinary differential equations, initial value problem, error assessment diagnostics for D02PCF and D02PDF D02QFF Example Text 13 Ordinary differential equations, initial value problem, Adams method with root-finding (forward communication, comprehensive) D02QGF Example TextExample Plot 13 Ordinary differential equations, initial value problem, Adams method with root-finding (reverse communication, comprehensive) D02QWF 13 Ordinary differential equations, initial value problem, setup for D02QFF and D02QGF D02QXF 13 Ordinary differential equations, initial value problem, diagnostics for D02QFF and D02QGF D02QYF 13 Ordinary differential equations, initial value problem, root-finding diagnostics for D02QFF and D02QGF D02QZF Example TextExample Plot 13 Ordinary differential equations, initial value problem, interpolation for D02QFF or D02QGF D02RAF Example TextExample Plot 8 Ordinary differential equations, general nonlinear boundary value problem, finite difference technique with deferred correction, continuation facility D02SAF Example TextExample Plot 8 Ordinary differential equations, boundary value problem, shooting and matching technique, subject to extra algebraic equations, general parameters to be determined D02TGF Example TextExample Plot 8 nth-order linear ordinary differential equations, boundary value problem, collocation and least-squares D02TKF Example TextExample Plot 17 Ordinary differential equations, general nonlinear boundary value problem, collocation technique D02TVF Example TextExample Plot 17 Ordinary differential equations, general nonlinear boundary value problem, setup for D02TKF D02TXF Example TextExample Plot 17 Ordinary differential equations, general nonlinear boundary value problem, continuation facility for D02TKF D02TYF Example TextExample Plot 17 Ordinary differential equations, general nonlinear boundary value problem, interpolation for D02TKF D02TZF Example TextExample Plot 17 Ordinary differential equations, general nonlinear boundary value problem, diagnostics for D02TKF D02XJF 12 Ordinary differential equations, initial value problem, interpolation for D02M–N routines, natural interpolant D02XKF 12 Ordinary differential equations, initial value problem, interpolation for D02M–N routines, C1 interpolant D02ZAF Example Text 12 Ordinary differential equations, initial value problem, weighted norm of local error estimate for D02M–N routines

D02 Chapter Contents (PDF version)
D02 Chapter Introduction
NAG Library Manual