Teaching Direct and Inverse Problems by Means of User Friendly Interfaces: A Status Report
It is by now widely accepted that a computer is just another means, by which human beings communicate. Consider e. g. the task of communicating to an increasingly wider audience both the scope and limitations of a computer code, which implements some mathematical model: the functions of a computer must then consist of both crunching numbers and handling graphics information. The user-friendly interfaces we are developing apply to codes, which model some processes in groundwater flow: in this area simulation (the direct problem) and parameter identification (the inverse problem) are closely related. We shall describe a direct problem solver, which simulates flow in a multi-layered porous medium and a package of inverse problem solvers, where different methods are applied. The users which we expect to “benefit” from our products are graduate students in the College of Science, Stale University of Milan. The description of each product will consist of an outline of the model, of the corresponding algorithm and its implementation.
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