First-Order Ordinary Differential Equations

Solution of the Initial-Value Problem for ODEs

Runge-Kutta method, IVPRK

Runge-Kutta method, various orders, IVMRK

Adams or Gear method, IVPAG

Solution of the Boundary-Value Problem for ODEs

Finite-difference method, BVPFD

Multiple-shooting method, BVPMS

Solution of the Differential-Algebraic Systems

Solves a first order differential-algebraic system of equations, DAESL

First-and-Second-Order Ordinary Differential Equations

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

Partial Differential Equations

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

Solution of a PDE in Two and Three Dimensions

Two-dimensional fast Poisson solver, FPS2H

Three-dimensional fast Poisson solver, FPS3H

Sturm-Liouville Problems

Eigenvalues, eigenfunctions, and spectral density functions, SLEIG

Indices of eigenvalues, SLCNT