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 Differential-Algebraic Systems
Petzold-Gear method........................................................................................... DASPG
Partial Differential Equations
Solution of Systems of PDEs in One Dimension
Method of lines with Variable Griddings......................................................... PDE_1D_MG
Method of lines with a Hermite cubic basis............................................................ MOLCH
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
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