TOM: Solve two-point boundary value problems for ODEs using the Top Order Method of order 2 and 6. Nonlinear problems are solved using quasilinearization. Mesh selection is based on the conditioning of the discrete linear problems. [1,2,3,4,5,6].

The Matlab solver TOM .

The code TOM consists of four files:

**-** tom.m contains the functions that implement the integration procedure;

**-** tominit.m Form the initial guess for TOM.

**-** tomget.m Get TOM OPTIONS parameters.

**-** tomset.m Set TOM OPTIONS parameters.

If you retrieve the software, please send a message to mazzia@dm.uniba.it so that we may keep you updated on any changes. Also any bug reports are appreciated.

The code has been tested on many difficult stiff test problems. For example, those contained in the Cash's home page.

Read also the slides of SCICADE 03 for more information about the mesh selection strategy used in TOM.

**[2]**
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L. Brugnano and D. Trigiante, A New Mesh Selection
Strategy for ODEs,Appl. Numer. Math. (1997), 24, 1-21.
*

**[3]**
*
F. Mazzia, I. Sgura, Numerical Approximation of
Nonlinear BVPs by means of BVMs}, Appl. Numer. Math.,{\bf 42}(2002), 337--352.
*

**[4]**
*
F. Mazzia, D. Trigiante. Mesh selection strategy for
Boundary Value Problems. submitted.
*

**[5]**
*
L.Aceto and F. Mazzia and D. Trigiante, On the performance of the code
Tom on difficult boundary value problems, Oberwolfach Conference
Proceedings: Mathematical Modelling Simulation and Optimization of
Integrated Electrical Circuits Doc. 01, to appear.
*

**[6]**
*
J. Cash, F. Mazzia, N. Sumarti, D. Trigiante, {The Role of Conditioning in Mesh Selection Algorithms for
First Order Systems of Linear Two-Point Boundary Value Problems}, submitted.
*

Last Update: November 25, 1999

29/10/97