Sundials equation solvers

Sundials/ML: interfacing with numerical solvers

We describe a comprehensive OCaml interface to the Sundials suite of numerical solvers (version 2.6.2). Noteworthy features include the treatment of the central vector data structure and benchmarking results.

Linear Equation Solvers

In one type the 6,are fed into the machine in such a way as to drive the unknowns Xj to their correct values. In the second type, the xf are not driven by power supplied from the constant inputs but reach an equilibrium situation corresponding to the solution by a process of adjustment. We are concerned in this article with the operating conditions for this last type of machine when the adjusti...

Fast Banded Linear Equation Solvers

A new algorithm for solving triangular linear equations is reported that is signiicantly faster than conventional methods on vector and parallel architectures for small bandwidths. In essence, it is a block version of the cyclic reduction algorithm used for tridiagonal systems of equations, and is applicable to general banded systems as well.

Sundials and Mathematical Surfaces

The ancient art of sundial designing and making has produced an astonishing variety of designs, many of them ingenious and works of art. The history and a fair sample of various designs can be found in [Ro] or [Pe,Sch,SP]. The principles of working are in many cases forgotten and understood only by a very tedious reverse-engineering, often made much more difficult by wellmeant but incompetent r...

Efficient parallel solvers for the biharmonic equation