Inverse problems are central to modern applied mathematics, posing the challenge of deducing causes from observed effects across numerous disciplines including geophysics, medical imaging and ...

In the context of inverse problems, a mathematical model of the measurements is called the direct problem. To understand this term, let us consider a model for obstetric sonography. An ultrasonic ...

The Finnish Centre of Excellence of Inverse Modelling and Imaging is a consortium of 15 Principal Investigators working in eight universities and research institutions. Professor Matti Lassas, ...

This is a preview. Log in through your library . Abstract A method is given for solving the inverse Stefan problem for the heat equation in two space variables. The approach is based on using a ...

Inverse problems in differential equations constitute a pivotal area in applied mathematics and engineering, where the aim is to deduce unknown parameters or inputs within a differential equation from ...