Facilities

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EpODE proposes the following facilities:

• friendly user interface for problem specification, automatic detection of the problem properties like linearity, separability, the greatest and the lowest eigenvalues of the Jacobian matrix at the initial value (symbolic computation of the system Jacobian), stiffness ratio, estimated time for the evaluation of the right side of the system of ODEs,

• friendly user interface for a difference method specification, automatic detection of the method properties like explicit/implicit schema, method accuracy, stability properties, one-step/ multistep, one-stage/ multistage, one-derivative/ multiderivative method, estimated time for solving the test problem y'=l y with Re l< 0.

• it establish the matching between the problem properties and the method properties, adequate integration step, approximate computation time, estimated error, and then

• apply the numerical method and supervise the error.

• it is possible to create a list/graphic of approximate solution values (two- or three-dimensional graphs).

• it is also possible to solve the problem without the specification of a particular method:

  • choosing an appropriate method from a database of classical methods (the selection is based on a classification of the methods, and the database can be enlarged introducing new methods using the above mentioned front-end);

  • select a new method when the previous one generates unreasonable errors;

  • in the case of a large number of equations the expert recommends the use of the numerical codes combined with PVM procedures (Parallel Virtual Machine) in the idea to distribute the computations on some processors of a local network.