5.1 First-Order Ordinary Differential Equations

5.1.1 Solution of the Initial-Value Problem for ODEs

Runge-Kutta method IVPRK

Runge-Kutta method, various orders IVMRK

Adams or Gear method IVPAG

5.1.2 Solution of the Boundary-Value Problem for ODEs

Finite-difference method BVPFD

Multiple-shooting method BVPMS

5.1.3 Solution of the Differential-Algebraic Systems

Solves a first order differential-algebraic system of equations DAESL

5.1.4 First-and-Second-Order Ordinary Differential Equations

5.1.5 Solution of the Initial-Value Problem for ODEs

Solves an initial-value problem for a system of ODEs using
a variable order Adams method IVOAM

5.2 Partial Differential Equations

5.2.1 Solution of Systems of PDEs in One Dimension

Introduction to Subroutine PDE_1D_MG

Method of lines with Variable Griddings PDE_1D_MG

Method of lines with a Hermite cubic basis MMOLCH

Solves a generalized Feynman-Kac equation on
a finite interval using Hermite quintic splines FEYNMAN_KAC

Computes the value of a Hermite quintic spline or
the value of one of its derivatives HQSVAL

5.2.2 Solution of a PDE in Two and Three Dimensions

Two-dimensional fast Poisson solver FPS2H

Three-dimensional fast Poisson solver FPS3H

5.3 Sturm-Liouville Problems

Eigenvalues, eigenfunctions, and spectral density functions SLEIG

Indices of eigenvalues SLCNT