This project explores the field of inverse problems, a class of mathematical challenges where the goal is to determine the underlying cause of observed effects, applied to the field of computed ...

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 ...

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 ...

The inverse of a matrix is a matrix that when multiplied with the original matrix will result in an identity matrix. Inverse Matrix operation can be divided into three parts: Swapping the rows to make ...

Computational Inverse Problems are all about the application. The driving question is how to extend the thorough theory of an Inverse Problem to an algorithm, which can be implemented and ultimately ...

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 ...