Differential equations are fundamental tools in physics: they are used to describe phenomena ranging from fluid dynamics to general relativity. But when these equations become stiff (i.e. they involve ...
In this graph, 𝑥 and 𝑦 are directly proportional. This means that when 𝑥 doubles, 𝑦 also doubles, and when 𝑥 triples, so does 𝑦. In fact, for all coordinates on this line, you could multiply or ...
Inverse problems, central to modern applied mathematics, involve deducing unknown parameters or functions in differential equations from observed spectral data. This field is pivotal in understanding ...
Researchers from the Institute of Cosmos Sciences of the University of Barcelona (ICCUB) have developed a new framework based ...
SIAM Journal on Applied Mathematics, Vol. 62, No. 4 (Apr., 2002), pp. 1369-1382 (14 pages) Consider an inverse source problem for Maxwell's equations which arises in determining locations of epileptic ...
SIAM Journal on Applied Mathematics, Vol. 79, No. 6 (2019), pp. 2340-2358 (19 pages) We consider the inverse problem of reconstructing the optical parameters of the radiative transfer equation (RTE) ...
Researchers from the Institute of Cosmos Sciences of the University of Barcelona (ICCUB) have developed a new framework based on machine learning ...